• godelski 20 hours ago

      data + plural = number
      data - plural = research
      king - crown = (didn't work... crown gets circled in red)
      king - princess = emperor
      king - queen = kingdom
      queen - king = worker
      king + queen = queen + king = kingdom
      boy + age = (didn't work... boy gets circled in red)
      man - age = woman
      woman - age = newswoman
      woman + age = adult female body (tied with man)
      girl + age = female child
      girl + old = female child
    
    The other suggestions are pretty similar to the results I got in most cases. But I think this helps illustrate the curse of dimensionality (i.e. distances are ill-defined in high dimensional spaces). This is still quite an unsolved problem and seems a pretty critical one to resolve that doesn't get enough attention.
    • n2d4 18 hours ago

      For fun, I pasted these into ChatGPT o4-mini-high and asked it for an opinion:

         data + plural    = datasets
         data - plural    = datum
         king - crown     = ruler
         king - princess  = man
         king - queen     = prince
         queen - king     = woman
         king + queen     = royalty
         boy + age        = man
         man - age        = boy
         woman - age      = girl
         woman + age      = elderly woman
         girl + age       = woman
         girl + old       = grandmother
      
      
      The results are surprisingly good, I don't think I could've done better as a human. But keep in mind that this doesn't do embedding math like OP! Although it does show how generic LLMs can solve some tasks better than traditional NLP.

      The prompt I used:

      > Remember those "semantic calculators" with AI embeddings? Like "king - man + woman = queen"? Pretend you're a semantic calculator, and give me the results for the following:

      • franga2000 18 hours ago

        This is an LLM approximating a semantic calculator, based solely on trained-in knowledge of what that is and probably a good amount of sample output, yet somehow beating the results of a "real" semantic calculator. That's crazy!

        The more I think about it the less surprised I am, but my initial thoughts were quite simply "now way" - surely an approximation of an NLP model made by another NLP model can't beat the original, but the LLM training process (and data volume) is just so much more powerful I guess...

        • CamperBob2 17 hours ago

          This is basically the whole idea behind the transformer. Attention is much more powerful than embedding alone.

          • godelski 14 hours ago

            The transformers are initialized by embedding models...

            Your embedding model is literally the translation layer converting the text to numbers. The transformers are the main processing unit of the embeddings. You can even see some self-reflection in the model as the transformer is composed of attention and a MLP sub-network. The attention mechanism generates the interrelational dependence of the data and the MLP projects up into a higher dimension before coming down so that this can untangle these relationships. But the idea is that you just repeat this process over and over. The attention mechanism has the benefit over CNN models because it has a larger receptive field, so can better process long range relationships (long range being across the input data) where CNNs bias for local relationships.

        • nbardy 18 hours ago

          I hate to be pedantic, but the llm is definitely doing embedding math. In fact that’s all it does.

          • n2d4 13 hours ago

            Sure! Although I think we both agree that the way those embeddings are transformed is significantly different ;)

            (what I meant to say is that it doesn't do embedding math "LIKE" the OP — not that it doesn't do embedding math at all.)

            • coolcase 6 hours ago

              Yeah we'd be impressed if an LLM calculated the product of a couple of 1000x1000 matrices.

          • godelski 14 hours ago

              > The results are surprisingly good, I don't think I could've done better as a human
            
            I'm actually surprised that the performance is so poor and would expect a human to do much better. The GPT model has embedding PLUS a whole transformer model that can untangle the embedded structure.

            To clarify some of the issues:

              data is both singular and plural, being a mass noun[0,1]. Datum is something you'll find in the dictionary, but not common in use[2]. The dictionary lags actual definitions. I mean words only mean what we collectively agree they mean (dictionary definitely helps with that but we also invent words all the time -- i.e. slang). I see how this one could trick up a human, feeling the need to change the output and would likely consult a dictionary but I don't think that's a fair comparison here as LLMs don't have these same biases.
            
              King - crown really seems like it should be something like "man" or "person". The crown is the manifestation of the ruling power. We still use phrases like "heavy is the head that wears the crown" in reference to general leaders, not just monarchs.
            
              king - princess I honestly don't know what to expect. Man is technically gender neutral so I'll take this one.
            
              king - queen I would expect similar outputs to the previous one. Don't quite agree here.
            
              queen - king I get why is removing royalty but given the previous (two) results I think is showing a weird gender bias. Remember that queen is something like (woman + crown) and king is akin to (man + crown). So subtracting should be woman - man. 
            
              The others I agree with. These were actually done because I was quite surprised at the results and was thinking about the aforementioned gender bias.
            
              > But keep in mind that this doesn't do embedding math like OP!
            
            I think you are misunderstanding the architecture of these models. The embedding sub-network is the translation of text to numeric tokens. You'll find mention of the embedding sub-networks in both the GPT3[3] and GPT4 papers. Though they are given lower importance than other works. While much smaller than the main network, don't forget that embedding networks are still quite large. For the smaller models they constitute a significant part of the total parameter count[4]

            After the embedding sub-network is your main transformer network. The purpose of this network is to perform embedding math! It is just that the goal is to do significantly more complicated math. Remember, these are learnable mappings (see Optimal Transport). We're just breaking it down into their two main intermediate mappings. But the embeddings still end up being a bottleneck. It is your literal gateway from words to numbers.

            [0] https://en.wikipedia.org/wiki/Mass_noun

            [1] https://www.merriam-webster.com/dictionary/data

            [2] https://www.sciotoanalysis.com/news/2023/1/18/this-data-or-t...

            [3] https://arxiv.org/abs/2005.14165

            [4] https://arxiv.org/abs/2303.08774

            [4] https://www.lesswrong.com/posts/3duR8CrvcHywrnhLo/how-does-g...

            • n2d4 14 hours ago

              You are being unnecessarily cynical. These are all subjective. I thought "datum" and "datasets" was quite clever, and while I would've chosen "man" for "king - crown" myself, I actually find "ruler" a better solution after seeing it. But each to their own.

              The rant about network architecture misses my point, which is that an LLM does not just do a linear transformation and a similarity search. Sure, in the most abstract sense it still just computes an output embedding from two input embeddings, but only in a very distant, pedantic way. (Actually, to be VERY pedantic, that would not even be true, because ChatGPT's tokenizer embeds tokens, not words. The in- and output of the model is more than just the semantic embedding of words; using two different but semantically equivalent words may result in different outputs with a transformer LLM, but not in a word semantics model.)

              I just thought it was cool that ChatGPT is so good at it.

              • godelski 13 hours ago

                I'm an engineer and researcher, it is my job to find problems, so that they can be resolved. I'd say this is different from being cynical as that tends to be dismissive. I understand how my comment can come off that way, though it wasn't my intention, so I'm clarifying.

                You're right that there's subjectivity but not infinitely so. There is a bound to this and that's both required for language to work and for us to build these models. I did agree that the data one was tricky so not really going to argue, I was just pointing out a critical detail given that the models learn through pattern matching rather than a dictionary. It's why I made the comment about humans. As for ruler minus crown, I gave my explication, would you care to share yours? I'd like to understand your point of view so I can better my interpretation of the results, because frankly I don't understand. What is the semantic relationship being changed if not the attribute of ruler?

                The architecture part was a miscommunication. I hope you understand how I misunderstood you when you said "this doesn't do embedding math like OP!". It is clear I'm not alone either.

                  > Actually, to be VERY pedantic, that would not even be true, because ChatGPT's tokenizer embeds tokens, not words.
                
                To be pedantic, people generally refer to the tokenization and embedding simply as embedding. It's the common verbiage. This is because with BPE you are performing these steps simultaneously and the term is appropriate given the longer usage in math.

                I was just trying to help you understand a different viewpoint.

              • drabbiticus 3 hours ago

                The specific cherry-picked examples from GP make sense to me.

                   data + plural    = datasets 
                   data - plural    = datum
                
                If +/- plural can be taken to mean "make explicitly plural or singular", then this roughly works.

                   king - crown     = ruler
                
                Rearrange (because embeddings are just vector math), and you get "king = ruler + crown". Yes, a king is a ruler who has a crown.

                   king - princess  = man
                
                This isn't great, I'll grant, but there are many YA novels where someone becomes king (eventually) through marriage to a princess, or there is intrigue for the princess's hand for reasons of kingly succession, so "king = man + princess" roughly works.

                   king - queen     = prince
                   queen - king     = woman
                
                I agree it's hard to make sense of "king - queen = prince". "A queen is a woman king" is often how queens are described to young children. In Chinese, it's actually the literal breakdown of 女王. I also agree there's a gender bias, but also literally everything about LLMs and various AI trained on large human-generated data encodes the bias of how we actually use language and thought patterns. It's one of the big concerns of those in the civil liberties space. Search "llm discrimination" or similar for more on this.

                Playing around with age/time related gives a lot of interesting results:

                    adult + age = adulthood
                    child + age = female child
                    year + age = chronological age
                    time + year = day
                    child + old = today
                    adult - old = adult body
                    adult - age = powerhouse
                    adult - year = man
                
                I think a lot of words are hard to distill into a single embedding. A word may embed a number of conceptually distinct definitions, but my (incomplete) understanding of embeddings is that they are not context-sensitive, right? So averaging those distinct definitions through 1 label is probably fraught with problems when trying to do meaningful vector math with them that context/attention are able to help with.

                [EDIT:formatting is hard without preview]

                • Sharlin 12 hours ago

                  "King-crown=ruler" is IMO absolutely apt. Arguing that "crown" can be used metaphorically is a bit disingenuous because first, it's very rarely applied to non-monarchs, and is a very physical, concrete symbol of power that separates monarchs from other rulers.

                  "King-princess=man" can be thought to subtract the "royalty" part of "king"; "man" is just as good an answer as any else.

                  "King-queen=prince" I'd think of as subtracting "ruler" from "king", leaving a male non-ruling member of royalty. "gender-unspecified non-ruling royal" would be even better, but there's no word for that in English.

                  • FabHK 28 minutes ago

                    “King - queen = male” strikes me as logical, if we take king = (+human, +male, +royal), and queen = (+human, -male, +royal), then the difference is (0human, 2male, 0royal).

                    • godelski 9 hours ago

                        > it's very rarely applied to non-monarchs
                      
                      I take your point but highly disagree that it's disingenuous to view this metaphorically. The crown has always been a symbol of the seat of power and that usage dates back centuries. I've seen it commonly used to refer to leadership in general. Actually more often.

                        - https://en.wikipedia.org/wiki/Heavy_Lies_the_Crown
                        - https://en.wikipedia.org/wiki/Heavy_Is_the_Head
                      
                      Notably even in the usage of Henry IV that the idiom draws from is using it in the metaphorical sense, despite also talking about a ruler so would wear a literal crown. There's similar frequent usage in widely popular shows like Game of Thrones. So I hope you can see why I really do not think it's fair to call me disingenuous. The metaphorical usage is extremely common.

                      I'll buy the king price relationship. That's fair. But it also seems to be in disagreement from the king queen one.

                  • refulgentis 16 hours ago

                    ...welcome to ChatGPT, everyone! If you've been asleep since...2022?

                    (some might say all an LLM does is embeddings :)

                  • mathgradthrow 17 hours ago

                    Distance is extremely well defined in high dimensional spaces. That isn't the problem.

                    • godelski 13 hours ago

                      Would you care to elaborate? To clarify, I mean that variance reduces as dimensionality increases

                    • Affric 19 hours ago

                      Yeah I did similar tests and got similar results.

                      Curious tool but not what I would call accurate.

                      • pjc50 41 minutes ago

                        Ah yes, 女 + 子 = girl but if combined in a kanji you get 好 = like.

                        • sdeframond 11 hours ago

                          Such results are inherently limited because a same word can have different meanings depending on context.

                          The role of the Attention Layer in LLMs is to give each token a better embedding by accounting for context.

                          • virgilp 3 hours ago

                            hacker+news-startup = golfer

                            • gweinberg 18 hours ago

                              I got a bunch of red stuff also. I imagine the author cached embeddings for some words but not really all that many to save on credits. I gave it mermaid - woman and got merman, but when I tried to give it boar + woman - man or ram + woman - man, it turns out it has never heard of rams or boars.

                              • thatguysaguy 18 hours ago

                                Can you elaborate on what the unsolved problem you're referring to is?

                              • montebicyclelo 19 hours ago

                                > king-man+woman=queen

                                Is the famous example everyone uses when talking about word vectors, but is it actually just very cherry picked?

                                I.e. are there a great number of other "meaningful" examples like this, or actually the majority of the time you end up with some kind of vaguely tangentially related word when adding and subtracting word vectors.

                                (Which seems to be what this tool is helping to illustrate, having briefly played with it, and looked at the other comments here.)

                                (Btw, not saying wordvecs / embeddings aren't extremely useful, just talking about this simplistic arithmetic)

                                • loganmhb 3 hours ago

                                  I once saw an explanation which I can no longer find that what's really happening here is also partly "man" and "woman" are very similar vectors which nearly cancel each other out, and "king" is excluded from the result set to avoid returning identities, leaving "queen" as the closest next result. That's why you have to subtract and then add, and just doing single operations doesn't work very well. There's some semantic information preserved that might nudge it in the right direction but not as much as the naive algebra suggests, and you can't really add up a bunch of these high-dimensional vectors in a sensible way.

                                  E.g. in this calculator "man - king + princess = woman", which doesn't make much sense. "airplane - engine", which has a potential sensible answer of "glider", instead "= Czechoslovakia". Go figure.

                                  • jbjbjbjb 17 hours ago

                                    Well when it works out it is quite satisfying

                                    India - Asia + Europe = Italy

                                    Japan - Asia + Europe = Netherlands

                                    China - Asia + Europe = Soviet-Union

                                    Russia - Asia + Europe = European Russia

                                    calculation + machine = computer

                                    • kgeist 7 hours ago

                                      Interesting:

                                        Russia - Europe = Putin
                                        Ukraine + Putin = Russia
                                        Putin - Stalin = Bush
                                        Stalin - purge = Lenin
                                      
                                      That means Bush = Ukraine+Putin-Europe-Lenin-purge.

                                      However, the site gives Bush -4%, second best option (best is -2%, "fleet ballistic missile submarine", not sure what negative numbers mean).

                                      • trhway 14 hours ago

                                        democracy - vote = progressivism

                                        I'll have to mediate on that.

                                        • blipvert 12 hours ago

                                          person + man + woman + camera + television = user

                                      • Retr0id 18 hours ago

                                        I think it's slightly uncommon for the vectors to "line up" just right, but here are a few I tried:

                                        actor - man + woman = actress

                                        garden + person = gardener

                                        rat - sewer + tree = squirrel

                                        toe - leg + arm = digit

                                        • gregschlom 19 hours ago

                                          Also, as I just learned the other day, the result was never equal, just close to "queen" in the vector space.

                                          • charcircuit 15 hours ago

                                            And queen isn't even the closest.

                                            • mcswell 15 hours ago

                                              What is the closest?

                                              • charcircuit 13 hours ago

                                                Usually king is.

                                                • Narew 8 hours ago

                                                  yes and it's only work because we prevent the output to be in the input.

                                                  • KeplerBoy 9 hours ago

                                                    That would be hilariously disappointing.

                                              • chis 11 hours ago

                                                I mean they are floating point vectors so

                                              • raddan 19 hours ago

                                                > is it actually just very cherry picked?

                                                100%

                                                • bee_rider 16 hours ago

                                                  Hmm, well I got

                                                      cherry - picker = blackwood
                                                  
                                                  if that helps.
                                                  • groby_b 18 hours ago

                                                    I think it's worth keeping in mind that word2vec was specifically trained on semantic similarity. Most embedding APIs don't really give a lick about the semantic space

                                                    And, worse, most latent spaces are decidedly non-linear. And so arithmetic loses a lot of its meaning. (IIRC word2vec mostly avoided nonlinearity except for the loss function). Yes, the distance metric sort-of survives, but addition/multiplication are meaningless.

                                                    (This is also the reason choosing your embedding model is a hard-to-reverse technical decision - you can't just transform existing embeddings into a different latent space. A change means "reembed all")

                                                  • spindump8930 20 hours ago

                                                    First off, this interface is very nice and a pleasure to use, congrats!

                                                    Are you using word2vec for these, or embeddings from another model?

                                                    I also wanted to add some flavor since it looks like many folks in this thread haven't seen something like this - it's been known since 2013 that we can do this (but it's great to remind folks especially with all the "modern" interest in NLP).

                                                    It's also known (in some circles!) that a lot of these vector arithmetic things need some tricks to really shine. For example, excluding the words already present in the query[1]. Others in this thread seem surprised at some of the biases present - there's also a long history of work on that [2,3].

                                                    [1] https://blog.esciencecenter.nl/king-man-woman-king-9a7fd2935...

                                                    [2] https://arxiv.org/abs/1905.09866

                                                    [3] https://arxiv.org/abs/1903.03862

                                                    • nxa 20 hours ago

                                                      Thank you! I actually had a hard time finding prior work on this, so I appreciate the references.

                                                      The dictionary is based on https://wordnet.princeton.edu/, no word2vec. It's just a plain lookup among precomputed embeddings (with mxbai-embed-large). And yes, I'm excluding words that are present in the query because.

                                                      It would be interesting to see how other models perform. I tried one (forgot the name) that was focused on coding, and it didn't perform nearly as well (in terms of human joy from the results).

                                                      • kaycebasques 19 hours ago

                                                        (Question for anyone) how could I go about replicating this with Gemini Embedding? Generate and store an embedding for every word in the dictionary?

                                                        • nxa 19 hours ago

                                                          Yes, that's pretty much what it is. Watch out for homographs.

                                                    • lcnPylGDnU4H9OF 19 hours ago

                                                      Some of these make more sense than others (and bookshop is hilarious even if it's only the best answer by a small margin; no shade to bookshop owners).

                                                        map - legend = Mercator projection
                                                        noodle - wheat = egg noodle
                                                        noodle - gluten = tagliatelle
                                                        architecture - calculus = architectural style
                                                        answer - question = comment
                                                        shop - income = bookshop
                                                        curry - curry powder = cuisine
                                                        rice - grain = chicken and rice
                                                        rice + chicken = poultry
                                                        milk + cereal = grain
                                                        blue - yellow = Fiji
                                                        blue - Fiji = orange
                                                        blue - Arkansas + Bahamas + Florida - Pluto = Grenada
                                                      • C-x_C-f 10 hours ago

                                                        I don't want to dump too many but I found

                                                           chess - checkers = wormseed mustard (63%)
                                                        
                                                        pretty funny and very hard to understand. All the other options are hyperspecific grasslike plants like meadow salsify.
                                                        • ccppurcell 9 hours ago

                                                          My philosophical take on it is that natural language has many many more dimensions than we could hope to represent. Whenever you do dimension reduction you lose information.

                                                        • ActionHank 2 hours ago

                                                          dog - fur = Aegean civilization

                                                        • antidnan 21 hours ago

                                                          Neat! Reminds me of infinite craft

                                                          https://neal.fun/infinite-craft/

                                                          • thaumasiotes 18 hours ago

                                                            I went to look at infinite craft.

                                                            It provides a panel filled with slowly moving dots. Right of the panel, there are objects labeled "water", "fire", "wind", and "earth" that you can instantiate on the panel and drag around. As you drag them, the background dots, if nearby, will grow lines connecting to them. These lines are not persistent.

                                                            And that's it. Nothing ever happens, there are no interactions except for the lines that appear while you're holding the mouse down, and while there is notionally a help window listing the controls, the only controls are "select item", "delete item", and "duplicate item". There is also an "about" panel, which contains no information.

                                                            • n2d4 18 hours ago

                                                              In the panel, you can drag one of the items (eg. Water) onto another one (eg. Earth), and it will create a new word (eg. Plant). It uses AI, so it goes very deep

                                                              • thaumasiotes 18 hours ago

                                                                No, that was the first thing I tried. The only thing that happens is that the two objects will now share their location. There are no interactions.

                                                        • Glyptodon 39 minutes ago

                                                          Car - Wheel(s) doesn't really have results I'd guess at (boat, sled, etc.). Just specific four wheeled vehicles.

                                                          • ale42 4 hours ago

                                                            Not what it's meant for, I guess, but it's not very strong at chemistry ;-)

                                                              salt - chlorine + potassium = sodium
                                                              chlorine + sodium = rubidium
                                                              water - hydrogen = tap water
                                                            
                                                            It also has some other interesting outputs:

                                                              woman + man = adult female body (already reported by someone else)
                                                              man - hand = woman
                                                              woman - hand = businesswoman
                                                              businessman - male + female = industrialist
                                                              telephone + antenna = television equipment
                                                              olive oil - oil = hearth money
                                                            • andrelaszlo 2 hours ago

                                                                  hand - arm + leg = vertebrate foot
                                                                  snowman - man =  snowflake
                                                                  snowman - snow = snowbank
                                                              • jumploops 19 hours ago

                                                                This is super neat.

                                                                I built a game[0] along similar lines, inspired by infinite craft[1].

                                                                The idea is that you combine (or subtract) “elements” until you find the goal element.

                                                                I’ve had a lot of fun with it, but it often hits the same generated element. Maybe I should update it to use the second (third, etc.) choice, similar to your tool.

                                                                [0] https://alchemy.magicloops.app/

                                                                [1] https://neal.fun/infinite-craft/

                                                                • lightyrs 20 hours ago

                                                                  I don't get it but I'm not sure I'm supposed to.

                                                                      life + death = mortality
                                                                      life - death = lifestyle
                                                                  
                                                                      drug + time = occasion
                                                                      drug - time = narcotic
                                                                  
                                                                      art + artist + money = creativity
                                                                      art + artist - money = muse
                                                                  
                                                                      happiness + politics = contentment
                                                                      happiness + art      = gladness
                                                                      happiness + money    = joy
                                                                      happiness + love     = joy
                                                                  • bee_rider 19 hours ago

                                                                        Life + death = mortality  
                                                                    
                                                                    is pretty good IMO, it is a nice blend of the concepts in an intuitive manner. I don’t really get

                                                                       drug + time = occasion
                                                                    
                                                                    But

                                                                       drug - time = narcotic
                                                                    
                                                                    Is kind of interesting; one definition of narcotic is

                                                                    > a drug (such as opium or morphine) that in moderate doses dulls the senses, relieves pain, and induces profound sleep but in excessive doses causes stupor, coma, or convulsions

                                                                    https://www.merriam-webster.com/dictionary/narcotic

                                                                    So we can see some element of losing time in that type of drug. I guess? Maybe I’m anthropomorphizing a bit.

                                                                    • grey-area 20 hours ago

                                                                      Does the system you’re querying ‘get it’? From the answers it doesn’t seem to understand these words or their relations. Once in a while it’ll hit on something that seems to make sense.

                                                                    • anonu 7 hours ago

                                                                      Reminds me of the very annoying word game https://contexto.me/en/

                                                                      • __MatrixMan__ 18 hours ago

                                                                        Here's a challenge: find something to subtract from "hammer" which does not result in a word that has "gun" as a substring. I've been unsuccessful so far.

                                                                        • ttctciyf an hour ago

                                                                          hammer - keyboard = hammerhead

                                                                          Makes no sense, admittedly!

                                                                          - dulcimer and - zither are both in firmly in .*gun.* territory it seems..

                                                                          • mrastro 18 hours ago

                                                                            The word "gun" itself seems to work. Package this as a game and you've got a pretty fun game on your hands :)

                                                                            • __MatrixMan__ 13 hours ago

                                                                              Doh why didn't I think of that

                                                                            • aniviacat 17 hours ago

                                                                              Gun related stuff works: bullet, holster, barrel

                                                                              Other stuff that works: key, door, lock, smooth

                                                                              Some words that result in "flintlock": violence, anger, swing, hit, impact

                                                                              • neom 18 hours ago

                                                                                if I'm allowed only 1 something, I can't find anything either, if I'm allowed a few somethings, "hammer - wine - beer - red - child" will get you there. Guessing given that a gun has a hammer and is also a tool, it's too heavily linked in the small dataset.

                                                                                • Retr0id 18 hours ago

                                                                                  Well that's easy, subtract "gun" :P

                                                                                  • downboots 18 hours ago

                                                                                    Bullet

                                                                                    • tough 18 hours ago

                                                                                      hammer + man = adult male body (75%)

                                                                                      • rdlw 17 hours ago

                                                                                        Close, that's addition

                                                                                      • soxfox42 17 hours ago

                                                                                        hammer - red = lock

                                                                                      • grey-area 20 hours ago

                                                                                        As you might expect from a system with knowledge of word relations but without understanding or a model of the world, this generates gibberish which occasionally sounds interesting.

                                                                                        • GrantMoyer 16 hours ago

                                                                                          These are pretty good results. I messed around with a dumber and more naive version of this a few years ago[1], and it wasn't easy to get sensinble output most of the time.

                                                                                          [1]: https://github.com/GrantMoyer/word_alignment

                                                                                          • nxa 19 hours ago

                                                                                            This might be helpful: I haven't implemented it in the UI, but from the API response you can see what the word definitions are, both for the input and the output. If the output has homographs, likeliness is split per definition, but the UI only shows the best one.

                                                                                            Also, if it gets buried in comments, proper nouns need to be capitalized (Paris-France+Germany).

                                                                                            I am planning on patching up the UI based on your feedback.

                                                                                            • clbrmbr 6 hours ago

                                                                                              A few favorites:

                                                                                              wine - beer = grape juice

                                                                                              beer - wine = bowling

                                                                                              astrology - astronomy + mathematics = arithmancy

                                                                                              • rdlw 18 hours ago

                                                                                                I've always wondered if there's s way to find which vectors are most important in a model like this. The gender vector man-woman or woman-man is the one always used in examples, since English has many gendered terms, but I wonder if it's possible to generate these pairs given the data. Maybe to list all differences of pairs of vectors, and see if there are any clusters. I imagine some grammatical features would show up, like the plurality vector people-person, or the past tense vector walked-walk, but maybe there would be some that are surprisingly common but don't seem to map cleanly to an obvious concept.

                                                                                                Or maybe they would all be completely inscrutable and man-woman would be like the 50th strongest result.

                                                                                                • wdutch 4 hours ago

                                                                                                  It's interesting that I find loops. For example

                                                                                                  car + stupid = idiot, car + idiot = stupid

                                                                                                  • cosmicgadget 2 hours ago

                                                                                                      car + dragon = panzer
                                                                                                    • ignat_244639 6 hours ago

                                                                                                      Huh, that's strange, I wanted to check whether your embeddings have biases, but I cannot use "white" word at all. So I cannot get answer to "man - white + black = ?".

                                                                                                      But if I assume the biased answer and rearrange the operands, I get "man - criminal + black = white". Which clearly shows, how biased your embeddings are!

                                                                                                      Funny thing, fixing biases and ways to circumvent the fixes (while keeping good UX) might be much challenging task :)

                                                                                                      • tiborsaas 7 hours ago

                                                                                                        I've tried to get to "garage", but failed at a few attempts, ChatGPT's ideas also seemed reasonable, but failed. Any takers? :)

                                                                                                        • mynameajeff 16 minutes ago

                                                                                                          "car + house + door" worked for me (interestingly "car + home + door" did not)

                                                                                                        • jryb 2 hours ago

                                                                                                          Just inverting the canonical example fails: queen - woman + man = drone

                                                                                                          • x3y1 an hour ago

                                                                                                            This kind of makes sense for bees.

                                                                                                          • krishna-vakx 5 hours ago

                                                                                                            for founders :

                                                                                                            love + time = commitment

                                                                                                            boredom + curiosity = exploration

                                                                                                            vision + execution = innovation

                                                                                                            resilience - fear = courage

                                                                                                            ambition + humility = leadership

                                                                                                            failure + reflection = learning

                                                                                                            knowledge + application = wisdom

                                                                                                            feedback + openness = improvement

                                                                                                            experience - ego = mastery

                                                                                                            idea + validation = product-market fit

                                                                                                            • coolcase 6 hours ago

                                                                                                              Oh you have all the damn words. Even the Ricky Gervais ones.

                                                                                                              • skeptrune 20 hours ago

                                                                                                                This is super fun. Offering the ranked matches makes it significantly more engaging than just showing the final result.

                                                                                                                • ericdiao 20 hours ago

                                                                                                                  Interesting: parent + male = female (83%)

                                                                                                                  Can not personally find the connection here, was expecting father or something.

                                                                                                                  • ericdiao 20 hours ago

                                                                                                                    Though dad is in the list with lower confidence (77%).

                                                                                                                    High dimension vector is always hard to explain. This is an example.

                                                                                                                  • afandian 19 hours ago

                                                                                                                    There was a site like this a few years ago (before all the LLM stuff kicked off) that had this and other NLP functionality. Styling was grey and basic. That’s all I remember.

                                                                                                                    I’ve been unable to find it since. Does anyone know which site I’m thinking of?

                                                                                                                  • galaxyLogic 16 hours ago

                                                                                                                    What about starting with the result and finding set of words that when summed together give that result?

                                                                                                                    That could be seen as trying to find the true "meaning" of a word.

                                                                                                                    • dtj1123 9 hours ago

                                                                                                                      "man-intelligence=woman" is a particularly interesting result.

                                                                                                                      • nxa 17 hours ago

                                                                                                                        artificial intelligence - bullsh*t = computer science (34%)

                                                                                                                        • behnamoh 16 hours ago

                                                                                                                          This. I'm tired of so many "it's over, shocking, game changer, it's so over, we're so back" announcements that turn out to be just gpt-wrappers or resume-builder projects.

                                                                                                                          Very few papers that actually say something meaningful are left unnoticed, but as soon as you say something generic like "language models can do this", it gets featured in "AI influencer" posts.

                                                                                                                        • neom 18 hours ago

                                                                                                                          cool but not enough data to be useful yet I guess. Most of mine either didn't have the words or were a few % off the answer, vehicle - road + ocean gave me hydrosphere, but the other options below were boat, ship, etc. Klimt almost made it from Mozart - music + painting. doctor - hospital + school = teacher, nailed it.

                                                                                                                          Getting to cornbread elegantly has been challenging.

                                                                                                                          • yigitkonur35 18 hours ago

                                                                                                                            shows how bad embeddings are in a practical way

                                                                                                                            • fallinghawks 20 hours ago

                                                                                                                              goshawk-cocaine = gyrfalcon , which is funny if you know anything about goshawks and gyrfalcons

                                                                                                                              (Goshawks are very intense, gyrs tend to be leisurely in flight.)

                                                                                                                              • Jimmc414 17 hours ago

                                                                                                                                dog - cat = paleolith

                                                                                                                                paleolith + cat = Paleolithic Age

                                                                                                                                paleolith + dog = Paleolithic Age

                                                                                                                                paleolith - cat = neolith

                                                                                                                                paleolith - dog = hand ax

                                                                                                                                cat - dog = meow

                                                                                                                                Wonder if some of the math is off or I am not using this properly

                                                                                                                                • e____g 15 hours ago

                                                                                                                                  man - intelligence = woman (36%)

                                                                                                                                  woman + intelligence = man (77%)

                                                                                                                                  Oof.

                                                                                                                                  • havkom 12 hours ago

                                                                                                                                    I tried:

                                                                                                                                    -red

                                                                                                                                    and:

                                                                                                                                    red-red-red

                                                                                                                                    But it did not work and did not get any response. Maybe I am stupid but should this not work?

                                                                                                                                    • mannykannot 3 hours ago

                                                                                                                                      Now I'm wondering if this could be helpful in doing the NY Times Connections puzzle.

                                                                                                                                      • Finbel 10 hours ago

                                                                                                                                        London-England+France=Maupassant

                                                                                                                                        • nikolay 20 hours ago

                                                                                                                                          Really?!

                                                                                                                                            man - brain = woman
                                                                                                                                            woman - brain = businesswoman
                                                                                                                                          • nxa 20 hours ago

                                                                                                                                            I probably should have prefaced this with "try at your own risk, results don't reflect the author's opinions"

                                                                                                                                            • dmonitor 18 hours ago

                                                                                                                                              I'm sure it would be trivial to get it to say something incredibly racist, so that's probably a worthwhile disclaimer to put on the website

                                                                                                                                            • dalmo3 20 hours ago

                                                                                                                                              I think subtraction is broken. None of what I tried made any sense. Water - oxygen = gin and tonic.

                                                                                                                                              • sapphicsnail 20 hours ago

                                                                                                                                                Telling that Jewess, feminist, and spinster were near matches as well.

                                                                                                                                                • karel-3d 20 hours ago

                                                                                                                                                  woman+penis=newswoman (businesswoman is second)

                                                                                                                                                  man+vagina=woman (ok that is boring)

                                                                                                                                                  • 2muchcoffeeman 20 hours ago

                                                                                                                                                    Man - brain = Irish sea

                                                                                                                                                    • nikolay 20 hours ago

                                                                                                                                                      Case matters, obviously! Try "man" with a lower-case "M"!

                                                                                                                                                      • Alifatisk 20 hours ago

                                                                                                                                                        Why does case matter? How does it affect the meaning?

                                                                                                                                                        • bfLives 20 hours ago

                                                                                                                                                          “Man” is probably being interpreted as the Isle of Man.

                                                                                                                                                          https://en.m.wikipedia.org/wiki/Isle_of_Man

                                                                                                                                                          • G1N 20 hours ago

                                                                                                                                                            Man (capital M) is probably being interpreted as some proper noun, maybe Isle of Man in this case?

                                                                                                                                                    • downboots 17 hours ago

                                                                                                                                                      mathematics - Santa Claus = applied mathematics

                                                                                                                                                      hacker - code = professional golf

                                                                                                                                                      • cabalamat 20 hours ago

                                                                                                                                                        What does it mean when it surrounds a word in red? Is this signalling an error?

                                                                                                                                                        • iambateman 20 hours ago

                                                                                                                                                          Try Lower casing, my phone tried to capitalize and it was a problem.

                                                                                                                                                          • fallinghawks 20 hours ago

                                                                                                                                                            Seems to be a word not in its dictionary. Seems to not have any country or language names.

                                                                                                                                                            Edit: these must be capitalized to be recognized.

                                                                                                                                                            • nxa 20 hours ago

                                                                                                                                                              Yes, word in red = word not found mostly the case when you try plurals or non-nouns (for now)

                                                                                                                                                              • rpastuszak 20 hours ago

                                                                                                                                                                This is neat!

                                                                                                                                                                I think you need to disable auto-capitalisation because on mobile the first word becomes uppercase and triggers a validation error.

                                                                                                                                                            • hagen_dogs 13 hours ago

                                                                                                                                                              fluid + liquid = solid (85%) -- didn't expect that

                                                                                                                                                              blue + red = yellow (87%) -- rgb, neat

                                                                                                                                                              black + {red,blue,yellow,green} = white 83% -- weird

                                                                                                                                                              • moefh 10 hours ago

                                                                                                                                                                > blue + red = yellow (87%) -- rgb, neat

                                                                                                                                                                Blue + red is magenta. Yellow would be red + green.

                                                                                                                                                                None of these results make much sense to me.

                                                                                                                                                              • ericdiao 19 hours ago

                                                                                                                                                                wine - alcohol = grape juice (32%)

                                                                                                                                                                Accurate.

                                                                                                                                                                • darepublic 10 hours ago

                                                                                                                                                                  man - courage = husband

                                                                                                                                                                  • matallo 19 hours ago

                                                                                                                                                                    uncle + aunt = great-uncle (91%)

                                                                                                                                                                    great idea, but I find the results unamusing

                                                                                                                                                                    • HWR_14 18 hours ago

                                                                                                                                                                      Your aunt's uncle is your great-uncle. It's more correct than your intuition.

                                                                                                                                                                      • matallo 18 hours ago

                                                                                                                                                                        I asked ChatGPT (after posting my comment) and this is the response. "Uncle + Aunt = Great-Uncle is incorrect. A great-uncle is the brother of your grandparent."

                                                                                                                                                                    • hello_computer 6 hours ago

                                                                                                                                                                      doesn’t do anything on my iphone

                                                                                                                                                                      • bluelightning2k 7 hours ago

                                                                                                                                                                        potato + microwave = potato tree

                                                                                                                                                                        • maxcomperatore 15 hours ago

                                                                                                                                                                          Just use a LLM api to generate results, it will be far better and more accurate than a weird home cooked algorithm

                                                                                                                                                                          • MYEUHD 20 hours ago

                                                                                                                                                                            king - man + woman = queen

                                                                                                                                                                            queen - woman + man = drone

                                                                                                                                                                            • bee_rider 19 hours ago

                                                                                                                                                                              The second makes sense, I think, if you are a bee.

                                                                                                                                                                              • neom 9 hours ago

                                                                                                                                                                                So, are you a bee keeper then?

                                                                                                                                                                            • firejake308 21 hours ago

                                                                                                                                                                              King-man+woman=Navratilova, who is apparently a Czech tennis player. Apparently, it's very case-sensitive. Cool idea!

                                                                                                                                                                              • fph 20 hours ago

                                                                                                                                                                                "King" (capital) probably was interpreted as https://en.wikipedia.org/wiki/Billie_Jean_King , that's why a tennis player showed up.

                                                                                                                                                                                • nxa 20 hours ago

                                                                                                                                                                                  when I first tried it, king was referring to the instrument and I was getting a result king-man+woman=flute ... :-D

                                                                                                                                                                                  • BeetleB 20 hours ago

                                                                                                                                                                                    Heh. This is fun:

                                                                                                                                                                                    Navratilova - woman + man = Lendl

                                                                                                                                                                                • doubtfuluser 13 hours ago

                                                                                                                                                                                  doctor - man + woman = medical practitioner

                                                                                                                                                                                  Good to understand this bias before blindly applying these models (Yes- doctor is gender neutral - even women can be doctors!!)

                                                                                                                                                                                  • heyitsguay 13 hours ago

                                                                                                                                                                                    Fwiw, doctor - woman + man = medical practitioner too

                                                                                                                                                                                  • kylecazar 19 hours ago

                                                                                                                                                                                    Woman + president = man

                                                                                                                                                                                    • zerof1l 20 hours ago

                                                                                                                                                                                      male + age = female

                                                                                                                                                                                      female + age = male

                                                                                                                                                                                      • atum47 10 hours ago

                                                                                                                                                                                        horse+man

                                                                                                                                                                                        78% male horse 72% horseman

                                                                                                                                                                                        • ainiriand 9 hours ago

                                                                                                                                                                                          dog+woman = man

                                                                                                                                                                                          That's weird.

                                                                                                                                                                                          • erulabs 12 hours ago

                                                                                                                                                                                            dog - fur = Aegean civilization (22%)

                                                                                                                                                                                            huh

                                                                                                                                                                                            • blobbers 20 hours ago

                                                                                                                                                                                              rice + fish = fish meat

                                                                                                                                                                                              rice + fish + raw = meat

                                                                                                                                                                                              hahaha... I JUST WANT SUSHI!

                                                                                                                                                                                              • tlhunter 18 hours ago

                                                                                                                                                                                                man + woman = adult female body

                                                                                                                                                                                                • 7373737373 20 hours ago

                                                                                                                                                                                                  it doesn't know the word human

                                                                                                                                                                                                  • G1N 20 hours ago

                                                                                                                                                                                                    twelve-ten+five=

                                                                                                                                                                                                    six (84%)

                                                                                                                                                                                                    Close enough I suppose

                                                                                                                                                                                                    • downboots 18 hours ago

                                                                                                                                                                                                      three + two = four (90%)

                                                                                                                                                                                                      • LadyCailin 18 hours ago

                                                                                                                                                                                                        Haha, yes, this was my first thought too. It seems it’s quite bad at actual math!

                                                                                                                                                                                                      • TZubiri 19 hours ago

                                                                                                                                                                                                        I'm getting Navralitova instead of queen. And can't get other words to work, I get red circles or no answer at all.

                                                                                                                                                                                                      • adzm 20 hours ago

                                                                                                                                                                                                        noodle+tomato=pasta

                                                                                                                                                                                                        this is pretty fun

                                                                                                                                                                                                        • growlNark 20 hours ago

                                                                                                                                                                                                          Surely the correct answer would be `pasta-in-tomato-sauce`? Pasta exists outside of tomato sauce.

                                                                                                                                                                                                        • quantum_state 17 hours ago

                                                                                                                                                                                                          The app produces nonsense ... such as quantum - superposition = quantum theory !!!

                                                                                                                                                                                                          • kataqatsi 20 hours ago

                                                                                                                                                                                                            garden + sin = gardening

                                                                                                                                                                                                            hmm...

                                                                                                                                                                                                            • woodruffw 20 hours ago

                                                                                                                                                                                                              colorless+green+ideas doesn't produce anything of interest, which is disappointing.

                                                                                                                                                                                                              • dmonitor 18 hours ago

                                                                                                                                                                                                                well green is not a creative color, so that's to be expected

                                                                                                                                                                                                              • ezbie 19 hours ago

                                                                                                                                                                                                                Can someone explain me what the fuck this is supposed to be!?

                                                                                                                                                                                                                • mhitza 18 hours ago

                                                                                                                                                                                                                  Semantical subtraction within embeddings representation of text ("meaning")

                                                                                                                                                                                                                • spinarrets an hour ago

                                                                                                                                                                                                                  cheeseburger-giraffe+space-kidney-monkey = cheesecake