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Author

Elvis Dohmatob

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#machine learning Preprint Oct 2026

Exact Scaling Laws for a Random-Features Bigram Model

This work study capacity-limited scaling in a bottlenecked bigram model with power-law (Zipf) token statistics, viewed as an analytically tractable toy model of a large language model, and suggests that heavy-tailed language statistics may underlie both optimization- and capacity-driven scaling.

Julian Enoch, Elvis Dohmatob · 0 citations
2025

Understanding Softmax Attention Layers: Exact Mean-Field Analysis on a Toy Problem

Self-attention has emerged as a fundamental component driving the success of modern transformer architectures which power large language models (ChatGPT, Llama, etc.) and various other types of systems. However, a theoretical understanding of how such models actually work is still under active development. The recent w...

Elvis Dohmatob · 3 citations

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