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Kernelized Parameter Sensitivity Atlases for Amortized Conditional Interpretability

Gradient-based attribution provides input-specific information about model parameters, but computing it via backpropagation for many samples is expensive, while static importance scores discard input dependence.

By Davide Wiest, Ahanaf Hasan Ariq, Abdul Monaf ChowdhuryarXiv - stat.ML

This paper introduces KPSA (Kernelized Parameter Sensitivity Atlas), a method for efficiently analyzing model parameter sensitivity across diverse AI tasks while maintaining input-specific interpretability.

What happened

The research team developed KPSA, a novel approach to parameter sensitivity analysis that combines kernel methods with neural tangent kernel decomposition. The method was tested across multiple AI domains, demonstrating significant computational efficiency improvements while maintaining high interpretability accuracy.

Why it matters

For AI developers, this provides a scalable solution for model interpretability that reduces computational costs, enabling real-time analysis of complex models in resource-constrained environments.

  • KPSA offers a 90% reduction in GPU memory usage for sensitivity analysis
  • Maintains 81% of backpropagation accuracy while improving throughput by 3.7x
  • Demonstrated effectiveness in vision, forecasting, and protein modeling tasks
  • Kernel aggregation enables efficient amortized interpretation
  • Provides a framework for scalable conditional model analysis

The bigger picture

The method enables efficient parameter sensitivity analysis across AI applications, potentially accelerating model debugging, optimization, and deployment in production systems.

KPSA presents a computationally efficient approach to parameter sensitivity analysis that maintains high interpretability accuracy across multiple AI domains, offering significant performance improvements over traditional methods.

Technical details

  • Empirical neural tangent kernel decomposition
  • Kernelized parameter-group sensitivity estimation
  • Input-dependent sensitivity embedding
  • Nearest-neighbor retrieval in KPSA space
  • Margin-based top-k recovery bounds

FAQ

What problem does KPSA solve?

KPSA addresses the computational inefficiency of gradient-based attribution methods by providing a scalable approach to parameter sensitivity analysis while maintaining input-specific interpretability.

What are the key performance improvements?

KPSA achieves 39-85% of backpropagation oracle performance with minimal parameter budgets, reduces GPU memory usage by 90%, and increases throughput to 2,041 images/s.

In which domains was KPSA tested?

The method was validated in vision, forecasting, and protein modeling tasks, demonstrating cross-domain effectiveness.

How does KPSA differ from traditional methods?

Unlike backpropagation-based approaches, KPSA uses kernel methods to estimate sensitivities for unseen inputs, reducing computational overhead while maintaining accuracy.

What are the main technical contributions?

The paper introduces kernelized parameter sensitivity atlases, derives bounds for representation error, and demonstrates efficient sensitivity estimation through kernel aggregation.

This summary and analysis were generated with AI from the original article and may contain errors. Read the original for the full story.

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Originally published by arXiv - stat.ML on Oct 12, 2026.

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