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M. Burtsev

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#machine learning Preprint Sep 2026

Retrieval Capacity of Self-Attention Under Competition

How many tokens from its context does a language model actually use, and what determines that number? We study this question through self-attention. Without retraining, we retain only the tokens with the highest attention weights at each head, layer, and query, keeping their original weights unchanged. By varying the s...

Timur Mudarisov, M. Burtsev, Radu State · 0 citations
#machine learning Preprint Sep 2026

The Geometry of Inference in Transformer Residual Streams

Transformer language models build predictions through successive residual updates, but how their representations become specific to an eventual outcome remains unclear. We study this process by comparing intermediate residual states with their own final states and an empirical bank of final states from other contexts....

Timur Mudarisov, M. Burtsev, Radu State · 0 citations
#artificial intelligence Preprint Aug 2026

Recursive Criticality of AI Self-Improvement

The framework identifies measurable properties of AI R\&D systems that can help distinguish recursive amplification from rapid progress driven by other sources, including the strength of recursive feedback, how effectively improvements propagate into successor systems, cycle duration, and the increasing difficulty of f...

M. Burtsev · 0 citations
Jul 2026

Extending LLM Context via Associative Recurrent Memory

An extensive experimental study is presented demonstrating that ARMT-augmented models process inputs well beyond their original context limits without degrading performance relative to in-limit baselines and need 30% less FLOPs while preserving baseline performance within the original context window.

Gleb Kuzmin, I. Rodkin, A. Bulatov et al. · 0 citations
#small language model Preprint Aug 2026

MARS: Multi-Specialist LLM Relay System for Competitive Programming

This work presents MARS (Multi-Agent Relay of Specialized LLMs), a prompt-only framework in which each agent is a topic specialist---dynamic programming, graphs, strings, geometry, and so on---grounded by retrieval-augmented generation over an algorithm-theory corpus.

A. Mikhailov, M. Burtsev, Alsu Sagirova · 0 citations

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