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How Does Reasoning Flow? Tracing Attention-Induced Information Flow for Targeted RL in LLMs

ICML 2026 · Large language models › Reasoning and chain of thought · approach: RL with verifiable rewards for reasoning · 0 citations (OpenAlex)

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Proposes FlowTracer, which builds an answer-conditioned attention DAG, reweights it with a Doob-h transform for flow conservation, and uses per-token flow throughput to upweight the top 40% tokens in GRPO for RLVR credit assignment.

Problem

Token-level credit assignment in RLVR for LLMs: standard GRPO weights all tokens uniformly, and existing internal-signal methods (entropy, attention) are point-wise and ignore how information propagates globally to the answer.

Approach

Model attention as an influence-coupling DAG, condition it on the answer region via a Doob-h-like transform (ensuring local flow conservation and removing dead-end branches), propagate unit flow from question to answer, and use token throughput to scale GRPO token weights.

Key results

Surprising findings

Limitations

Experimental setup

Datasets: DAPO-Math-17K Countdown (TinyZero protocol) CrossThinkQA GSM8K

Benchmarks: AIME24 AIME25 AMC23 MATH500 OlympiadBench CrossThinkQA Countdown Minerva GSM8K

Metrics: accuracy (avg pass rate %) answer change rate correctness reverse rate time overhead

Baselines: GRPO Random High-entropy selection Gradient Correlation Attention CAPO ThinkPRM-1.5B AsyPPO Reweight+Lopti

Builds on: GRPO GAE Doob h-transform

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