ResearchResearch paperInterpretability1 source · Oct 8, 2026

Kernelized Parameter Sensitivity Atlases for Amortized Conditional Interpretability

We derive KPSA (Kernelized Parameter Sensitivity Atlas) from a block decomposition of the empirical neural tangent kernel.

Key points

  • 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.
  • We derive bounds that separate finite-source from irreducible representation error and give margin-based top-$k$ recovery.
  • Firstly, KPSA identifies parameter groups with high susceptibility to perturbations across vision, forecasting, and protein-modeling setups.
  • The empirics show that compact kernel atlases can store useful input-dependent parameter sensitivity while amortizing repeated gradient attribution, a step toward scalable conditional interpretability.

Sources (1)

  • [1]Kernelized Parameter Sensitivity Atlases for Amortized Conditional Interpretability
    arXiv (AI, ML, NLP, CV, robotics, multi-agent) · Oct 8, 09:35 PM
    We derive KPSA (Kernelized Parameter Sensitivity Atlas) from a block decomposition of the empirical neural tangent kernel.
    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.

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