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Summary of The Evolution Of Statistical Induction Heads: In-context Learning Markov Chains, by Benjamin L. Edelman et al.


The Evolution of Statistical Induction Heads: In-Context Learning Markov Chains

by Benjamin L. Edelman, Ezra Edelman, Surbhi Goel, Eran Malach, Nikolaos Tsilivis

First submitted to arxiv on: 16 Feb 2024

Categories

  • Main: Machine Learning (cs.LG)
  • Secondary: None

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Summary difficulty Written by Summary
High Paper authors High Difficulty Summary
Read the original abstract here
Medium GrooveSquid.com (original content) Medium Difficulty Summary
The paper introduces a simple Markov Chain sequence modeling task to study how large language models develop their ability to generate text that mimics patterns in their inputs. The authors create a setting where each example is sampled from a Markov chain drawn from a prior distribution over Markov chains, and train transformers on this task to form statistical induction heads that compute accurate next-token probabilities given the bigram statistics of the context. During training, models pass through multiple phases, including an initial uniform prediction phase, a sub-optimal unigram prediction phase, and a rapid transition to the correct in-context bigram solution. The authors conduct an empirical and theoretical investigation of this multi-phase process, showing how successful learning results from the interaction between the transformer’s layers.
Low GrooveSquid.com (original content) Low Difficulty Summary
The paper looks at how language models learn to generate text that follows patterns. It creates a special task where each example is like a random sequence drawn from a set of rules. The model tries to predict what comes next in the sequence, and it learns to do this by looking at small groups of words (bigrams) rather than individual words. As the model trains, it goes through different phases, starting with making random predictions, then doing okay by using single-word statistics, and finally learning to accurately predict by using bigram patterns. The authors want to understand how this process works and how it’s affected by different rules for generating sequences.

Keywords

* Artificial intelligence  * Token  * Transformer