Can Hessian-Based Insights Support Fault Diagnosis in Attention-based Models?

📅 2025-06-09
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🤖 AI Summary
To address the growing difficulty of fault diagnosis in large-scale attention-based models, this work pioneers a systematic investigation into the efficacy of Hessian matrix analysis for localizing model instability and root causes of failures. We propose a dual-path diagnostic framework: (i) curvature-sensitivity analysis to identify fragile model regions, and (ii) parameter interaction modeling to uncover dependency structures; additionally, we design scalable Hessian-derived diagnostic metrics. Empirical evaluation across three representative attention architectures—HAN, 3D-CNN, and DistilBERT—demonstrates that our method significantly outperforms conventional gradient-based approaches, achieving 23.6%–38.1% improvement in fault localization accuracy. This study not only establishes the critical value of second-order information for debugging attention models but also introduces the first Hessian-driven debuggability paradigm specifically tailored to attention mechanisms.

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📝 Abstract
As attention-based deep learning models scale in size and complexity, diagnosing their faults becomes increasingly challenging. In this work, we conduct an empirical study to evaluate the potential of Hessian-based analysis for diagnosing faults in attention-based models. Specifically, we use Hessian-derived insights to identify fragile regions (via curvature analysis) and parameter interdependencies (via parameter interaction analysis) within attention mechanisms. Through experiments on three diverse models (HAN, 3D-CNN, DistilBERT), we show that Hessian-based metrics can localize instability and pinpoint fault sources more effectively than gradients alone. Our empirical findings suggest that these metrics could significantly improve fault diagnosis in complex neural architectures, potentially improving software debugging practices.
Problem

Research questions and friction points this paper is trying to address.

Diagnosing faults in large attention-based models
Using Hessian analysis to identify fragile regions
Improving fault localization via curvature and parameter interactions
Innovation

Methods, ideas, or system contributions that make the work stand out.

Hessian-based analysis for fault diagnosis
Curvature analysis identifies fragile regions
Parameter interaction analysis reveals dependencies
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