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Kalman-Inspired Runtime Stability and Recovery in Hybrid Reasoning Systems

arXiv:2602.15855v1 Announce Type: cross Abstract: Hybrid reasoning systems that combine learned components with model-based inference are increasingly deployed in tool-augmented decision loops, yet their runtime behavior under partial observability and sustained evidence mismatch remains poorly understood. In practice, failures often arise as gradual divergence of internal reasoning dynamics rather than as isolated prediction errors. This work studies runtime stability in hybrid reasoning systems from a Kalman-inspired perspective. We model reasoning as a stochastic inference process driven by an internal innovation signal and introduce cognitive drift as a measurable runtime phenomenon. Stability is defined in terms of detectability, bounded divergence, and recoverability rather than task-level correctness. We propose a runtime stability framework that monitors innovation statistics, detects emerging instability, and triggers recovery-aware control mechanisms. Experiments on multi-st

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Barak Or
· · 1 min read · 3 views

arXiv:2602.15855v1 Announce Type: cross Abstract: Hybrid reasoning systems that combine learned components with model-based inference are increasingly deployed in tool-augmented decision loops, yet their runtime behavior under partial observability and sustained evidence mismatch remains poorly understood. In practice, failures often arise as gradual divergence of internal reasoning dynamics rather than as isolated prediction errors. This work studies runtime stability in hybrid reasoning systems from a Kalman-inspired perspective. We model reasoning as a stochastic inference process driven by an internal innovation signal and introduce cognitive drift as a measurable runtime phenomenon. Stability is defined in terms of detectability, bounded divergence, and recoverability rather than task-level correctness. We propose a runtime stability framework that monitors innovation statistics, detects emerging instability, and triggers recovery-aware control mechanisms. Experiments on multi-step, tool-augmented reasoning tasks demonstrate reliable instability detection prior to task failure and show that recovery, when feasible, re-establishes bounded internal behavior within finite time. These results emphasize runtime stability as a system-level requirement for reliable reasoning under uncertainty.

Executive Summary

This article presents a novel approach to understanding runtime stability in hybrid reasoning systems, which combine learned components with model-based inference. By modeling reasoning as a stochastic inference process driven by an internal innovation signal, the authors introduce cognitive drift as a measurable runtime phenomenon. The proposed runtime stability framework monitors innovation statistics, detects emerging instability, and triggers recovery-aware control mechanisms. Experiments demonstrate reliable instability detection prior to task failure and recovery within finite time. This work emphasizes runtime stability as a system-level requirement for reliable reasoning under uncertainty, with significant implications for tool-augmented decision loops.

Key Points

  • The authors model reasoning as a stochastic inference process driven by an internal innovation signal.
  • Cognitive drift is introduced as a measurable runtime phenomenon.
  • A runtime stability framework is proposed to monitor innovation statistics and trigger recovery-aware control mechanisms.

Merits

Strength in Mathematical Formulation

The authors provide a rigorous mathematical formulation of hybrid reasoning systems, leveraging the Kalman filter framework to model reasoning dynamics.

Empirical Validation

The article presents experiments on multi-step, tool-augmented reasoning tasks, demonstrating reliable instability detection and recovery within finite time.

Demerits

Limited Scope

The proposed framework is focused on runtime stability in hybrid reasoning systems, with limited consideration of broader applications or generalizability to other domains.

Assumptions and Simplifications

The authors make several assumptions about the underlying dynamics of the hybrid reasoning system, which may not hold in more complex or realistic scenarios.

Expert Commentary

This article presents a significant contribution to the field of hybrid reasoning systems, offering a novel perspective on runtime stability and recovery. The proposed framework has the potential to improve the reliability and robustness of tool-augmented decision loops, with far-reaching implications for AI system development. While the authors acknowledge limitations and assumptions, the empirical validation and rigorous mathematical formulation provide a strong foundation for future work. The article highlights the need for more comprehensive understanding of complex reasoning processes and the importance of uncertainty quantification and management in AI systems.

Recommendations

  • Future work should focus on extending the proposed framework to more complex and realistic scenarios, considering multiple sources of uncertainty and dynamic environments.
  • The authors should investigate the applicability of the proposed framework to other domains, such as robotics or autonomous vehicles, to further demonstrate its versatility and effectiveness.

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