LGAIOct 8, 2025

Recurrence-Complete Frame-based Action Models

arXiv:2510.06828v12 citationsh-index: 1
Originality Incremental advance
AI Analysis

This addresses potential limitations in agentic systems like software engineering agents, though it appears incremental by building on existing attention mechanisms.

The paper tackles the problem that non-recurrent models may fail for long-running agentic tasks by introducing a recurrence-complete architecture, achieving a power-law loss reduction with fixed parameters and amortized training costs.

In recent years, attention-like mechanisms have been used to great success in the space of large language models, unlocking scaling potential to a previously unthinkable extent. "Attention Is All You Need" famously claims RNN cells are not needed in conjunction with attention. We challenge this view. In this paper, we point to existing proofs that architectures with fully parallelizable forward or backward passes cannot represent classes of problems specifically interesting for long-running agentic tasks. We further conjecture a critical time t beyond which non-recurrence-complete models fail to aggregate inputs correctly, with concrete implications for agentic systems (e.g., software engineering agents). To address this, we introduce a recurrence-complete architecture and train it on GitHub-derived action sequences. Loss follows a power law in the trained sequence length while the parameter count remains fixed. Moreover, longer-sequence training always amortizes its linearly increasing wall-time cost, yielding lower loss as a function of wall time.

Foundations

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