Isn't this simply because the dataset used (Putnam-AXIOM Original) is in the training data used to train the various models? Given that these are simple variations (variable names and constants value change in math problems). Why would the companies creating these models (OpenAI etc.) create these variations themselves in order to insure that the model is learning how to solve the problem rather than memorize a solut…
30% drop in O1-preview accuracy when Putnam problems are slightly variated
181–190 of 558 posts
Re: 30% drop in O1-preview accuracy when Putnam problems are slightly variated
#182Earlier quoted context omitted.
> ask it for a formula for mass-energy equivalence Way too easy. If you think that mass and energy might be equivalent, then dimensional analysis doesn’t give you too much choice in the formula. Really, the interesting thing about E=mc^2 isn’t the formula but the assertion that mass is a form of energy and all the surrounding observations about the universe. Also, the actual insight in 1905 was more about asking the…
but e=mc^2 is just an approximation e: nice, downvoted for knowing special relativity
When in doubt, add more info, like:
But the complete equation is E=sqrt(m^2c^4+p^2) that is reduced to E=mc^2 when the momentum p is 0. More info in https://en.wikipedia.org/wiki/Mass%E2%80%93energy_equivalenc...
Re: 30% drop in O1-preview accuracy when Putnam problems are slightly variated
#183Earlier quoted context omitted.
https://chatgpt.com/share/67755e6f-bfc8-8010-9aa3-8bcbbd9b26...
To be clear I was testing with 4o, good to know that o1 has a better grasp of basic arithmetic. Regardless my point was less to do with the models ability to do math and more to do with OpenAI seeming to cover up its lack of ability.
i’m able to reproduce your failure on 4o
Re: 30% drop in O1-preview accuracy when Putnam problems are slightly variated
#184Link title says "slightly", but the PDF says two different kinds of variations: variable names (slight) and problem constants (significant), and the 30% drop is on the combination of a 26 variable and also 26 variable + constant questions. It's good to have a better test (though I bet this one will also be quickly saturated like all the others), but the title here doesn't seem justified by the page title there or the…
I would definitely classify both of those as slight changes. In fact I'd rename those as slight => trivial and significant => slight.
Re: 30% drop in O1-preview accuracy when Putnam problems are slightly variated
#185Earlier quoted context omitted.
It certainly feels like certain patterns are hardcoded special cases, particularly to do with math. "Solve (1503+5171)*(9494-4823)" reliably gets the correct answer from ChatGPT "Write a poem about the solution to (1503+5171)*(9494-4823)" hallucinates an incorrect answer though That suggests to me that they've papered over the models inability to do basic math, but it's a hack that doesn't generalize beyond the simpl…
“a poem about” reads to me at least like the solution need not be in the answer; maybe something like “a poem that includes the answer in the last stanza”
Re: 30% drop in O1-preview accuracy when Putnam problems are slightly variated
#186Earlier quoted context omitted.
EpochAI have to send the questions (but not the answer key) to OpenAI in order to score the models. An overnight 2% -> 25% jump on this benchmark is a bit curious.
1. OpenAI said they did not train on these problems & they don’t train on API calls in general, that is a legal policy. 2. It was a new major model release from work over the course of months - struggle to see that as an ‘overnight’ jump in any real meaning. 3. Why is it easier to believe large scale corporate fraud than that the stated capabilities on a held out test set are real? Reads like cope, if I’m being frank…
Re: 30% drop in O1-preview accuracy when Putnam problems are slightly variated
#187Yes so when you change the sequence of tokens they've electronically memorized, they get a bit worse at predicting the next token?
Re: 30% drop in O1-preview accuracy when Putnam problems are slightly variated
#188One experiment I would love to see, although not really feasible in practice, is to train a model on all digitized data from before the year 1905 (journals, letters, books, broadcasts, lectures, the works), and then ask it for a formula for mass-energy equivalence. A certain answer would definitely settle the debate on whether pattern recognition is a form of intelligence ;)
Re: 30% drop in O1-preview accuracy when Putnam problems are slightly variated
#189Earlier quoted context omitted.
Gpt4 can add very large integers. It is evident that it is not recalling the sum because all combinations of integer addition were likely not in the training data, Storing the answer to the sum of all integers up to the size that GPT4 can manage would take more parameters than the model has. That addition is a small capability but you only need a single counterexample to disprove a theory.
> That addition is a small capability but you only need a single counterexample to disprove a theory No, that's not how this works :) You can hardcode an exception to pattern recognition for specific cases - it doesn't cease to be a pattern recognizer with exceptions being sprinkled in. The 'theory' here is that a pattern recognizer can lead to AGI. That is the theory. Someone saying 'show me proof or else I say a pa…
Re: 30% drop in O1-preview accuracy when Putnam problems are slightly variated
#190Earlier quoted context omitted.
Not hardcoded, I think it's just likely that those problems exist in its training data in some form
Isn't that just the LLM equivalent of hardcoding though?