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Main Authors: Karimzadeh, Reza, Alonso, Albert, Zdyb, Frans, Kirkegaard, Julius B., Ibragimov, Bulat
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2511.01411
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author Karimzadeh, Reza
Alonso, Albert
Zdyb, Frans
Kirkegaard, Julius B.
Ibragimov, Bulat
author_facet Karimzadeh, Reza
Alonso, Albert
Zdyb, Frans
Kirkegaard, Julius B.
Ibragimov, Bulat
contents Faithful yet compact explanations for vision models remain a challenge, as commonly used dense perturbation masks are often fragmented and overfitted, needing careful post-processing. Here, we present a training-free explanation method that replaces dense masks with smooth tunable contours. A star-convex region is parameterized by a truncated Fourier series and optimized under an extremal preserve/delete objective using the classifier gradients. The approach guarantees a single, simply connected mask, cuts the number of free parameters by orders of magnitude, and yields stable boundary updates without cleanup. Restricting solutions to low-dimensional, smooth contours makes the method robust to adversarial masking artifacts. On ImageNet classifiers, it matches the extremal fidelity of dense masks while producing compact, interpretable regions with improved run-to-run consistency. Explicit area control also enables importance contour maps, yielding a transparent fidelity-area profiles. Finally, we extend the approach to multi-contour and show how it can localize multiple objects within the same framework. Across benchmarks, the method achieves higher relevance mass and lower complexity than gradient and perturbation based baselines, with especially strong gains on self-supervised DINO models where it improves relevance mass by over 15% and maintains positive faithfulness correlations.
format Preprint
id arxiv_https___arxiv_org_abs_2511_01411
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Extremal Contours: Gradient-driven contours for compact visual attribution
Karimzadeh, Reza
Alonso, Albert
Zdyb, Frans
Kirkegaard, Julius B.
Ibragimov, Bulat
Computer Vision and Pattern Recognition
Machine Learning
Image and Video Processing
Faithful yet compact explanations for vision models remain a challenge, as commonly used dense perturbation masks are often fragmented and overfitted, needing careful post-processing. Here, we present a training-free explanation method that replaces dense masks with smooth tunable contours. A star-convex region is parameterized by a truncated Fourier series and optimized under an extremal preserve/delete objective using the classifier gradients. The approach guarantees a single, simply connected mask, cuts the number of free parameters by orders of magnitude, and yields stable boundary updates without cleanup. Restricting solutions to low-dimensional, smooth contours makes the method robust to adversarial masking artifacts. On ImageNet classifiers, it matches the extremal fidelity of dense masks while producing compact, interpretable regions with improved run-to-run consistency. Explicit area control also enables importance contour maps, yielding a transparent fidelity-area profiles. Finally, we extend the approach to multi-contour and show how it can localize multiple objects within the same framework. Across benchmarks, the method achieves higher relevance mass and lower complexity than gradient and perturbation based baselines, with especially strong gains on self-supervised DINO models where it improves relevance mass by over 15% and maintains positive faithfulness correlations.
title Extremal Contours: Gradient-driven contours for compact visual attribution
topic Computer Vision and Pattern Recognition
Machine Learning
Image and Video Processing
url https://arxiv.org/abs/2511.01411