What objective is reasoning solving?

(alexwang.ai)

40 points | by gmays 1 hour ago

10 comments

  • derefr 8 minutes ago
    It solves for the same thing a "train of thought" (internal vocalization) solves for in the human brain: there's a lot of stuff you "know" as episodic memories of words you've heard/read, but haven't yet internalized via practice into reflex reactions. It's a lot faster and cheaper to acquire a memory of some words, than it is to acquire an entire new skill, so you end up picking up far more memories-of-words than concrete skills from a given training corpus.

    Reasoning (i.e. bubbling those remembered words up into your mental context, and then using a special "acting as constrained by words" bridging reflex on them, a.k.a. "system-2 thinking") is how you leverage memories-of-words into useful behavior.

    An especially useful version of this is planning, where you chain through "mere words" until you end up at words that declare to yourself what you're about to do; and then you rely on your bridging reflex to react in a way that's constrained by the plan you generated.

  • niemandhier 3 minutes ago
    That is how I have been thinking about LLM reasoning pretty much since it arrived.

    I am not sure I support his statement about RL “searching for successful paths and then training the model to reproduce them”.

    Don’t we train the model to use a certain method to explore the space in search for an answer?

    As soon as you have tool calling and a way to verify your result, such as a theorem prover for example you are essentially running an optimization algorithm.

    • jebarker 1 minute ago
      > Don’t we train the model to use a certain method to explore the space in search for an answer?

      Not really - you just sample random high-probability completions and then the verifier tells you which ones to nudge the model towards and which to nudge away from. There's lots of clever ways you could improve the search process, but standard practice right now is just random sampling.

  • dogscatstrees 25 minutes ago
    Wang's argument contradicts the view that intelligence necessarily improves through more reasoning and undermines any assumption that recursive self-improvement (RSI) will automatically converge toward greater intelligence.
  • vova_hn2 14 minutes ago
    I'm pretty sure that the current approach of baking in chain-of-thought reasoning into weights is not the end of the line. It just seems to accidental and ad-hoc.

    P. S. The animated bird is truly magical!

  • avereveard 16 minutes ago
    Normalizes user voice to goal so the action has more chances to success you can see this on model that dont hide traces sending very badly spelled or incomplete sentences
  • jrflo 20 minutes ago
    Content aside, that's a beautiful webiste
  • NickNaraghi 34 minutes ago
    > reasoning as pathfinding through token space

    Sounds like it's hillclimbing all the way down!

    Cool framing. I'm excited for the parallel construction of ___ as pathfinding through weight space.

  • akavi 9 minutes ago
    My understanding of the math is weak (to say the least), but intuitively what I'm getting from this is:

    1) Pretraining creates a bias _towards_ "correct answers" with each inference step

    2) A longer walk is more likely to land in the correct region, given it's easier to verify you have the correct answer than to create it

    3) RL selects the subset of walks that lands in the correct region and tilts the distribution in favor of such walks

    4) By 2, that trains towards longer walks

    ...Is that correct?

    • jebarker 4 minutes ago
      Yes. One point worth making though is that pre-training trains the model to produce high probability completions - in practice, most of what it's trained on is a good completion as a human would judge it, i.e. it's not factually false data, so you get "creates a bias _towards_ "correct answers" with each inference step", but the model isn't really learning what correct or incorrect means in any way a human would consciously think about it.
  • FLeXMurphy 55 minutes ago
    What is the library, if any, used for the equation/formula rendering? Looks tastefully done.
    • freecodeio 50 minutes ago
      > The mathematics on this page is being rendered by MathJax, which generates both the text spoken by screen readers, as well as the visual layout for sighted users.
    • domelian 24 minutes ago
      also very curious, visualization is great!