Major update to my free app “Lexi: Vocabulary Crosswords” for expanding vocab via crosswords with spaced repetition! Now featuring:
— fill-in-the-blank clues testing in-context application
— pronunciation
— improved definitions
50% of profits go to @QualiaRI. #Vocabulary#QRI
Microsoft presents rStar-Math
Small LLMs Can Master Math Reasoning with Self-Evolved Deep Thinking
On the MATH benchmark, it improves Qwen2.5-Math-7B from 58.8% to 90.0% and Phi3-mini-3.8B from 41.4% to 86.4%, surpassing o1-preview by +4.5% and +0.9%. On the USA Math Olympiad…
“Error in message stream” almost every time I prompt o1, after it thinks for a couple minutes and writes almost the entire answer. Can only imagine how much compute is being wasted by this
System 2 thinking was a step up. Maybe the next step up is introspection via meta-representations. It could not only know things, but also know what it knows
Fun story from our internal testing on Claude 3 Opus. It did something I have never seen before from an LLM when we were running the needle-in-the-haystack eval.
For background, this tests a model’s recall ability by inserting a target sentence (the "needle") into a corpus of…
If the entirety of Earth’s surface had a tiling like this and you stepped on 2 new tiles per second, 8 hours per day, everyday, it would take you around 100 million years to step on every last tile. If u could observe 1M new tiles per second you still wouldn’t live to see it all
@alexeyguzey **Explaining Induction** 1/?
To grok it we need predicates.
A predicate is a function that maps each input to a truth value.
e.g.
Let n%2 denote the remainder after dividing n by 2 (so it is 0 for evens and 1 for odds)
Let isEven(n) = (n%2 = 0)
Let isOdd(n) = (n%2 = 1)
Shouldn't [x,y] = xy - yx be called the "anti-commutator", since [x,y] = -[y,x]? And since it "measures anti-commutativity"?
Then {x,y} = xy + yx would be called the "commutator" since {x,y} = {y,x}, and since it measures commutativity
Or am I missing something
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