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A Statistical Physics Perspective: Understanding the Causality Behind Convolutional Neural Network Adversarial

Ke Wang, Mingjia Zhu, Zicong Chen

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    Nonlinear effects in convolutional neural networks (CNNs) cause adversarial vulnerability. This study uses statistical physics to show how micro-level changes cascade, impacting CNN decisions and leading to performance degradation under attacks.

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    Area of Science:

    • Artificial Intelligence
    • Machine Learning
    • Statistical Physics

    Background:

    • Convolutional Neural Networks (CNNs) are susceptible to adversarial attacks, causing performance degradation.
    • The underlying causes of this adversarial vulnerability in CNNs are not well understood.
    • Understanding CNN vulnerability is crucial for developing robust AI systems.

    Purpose of the Study:

    • To investigate the fundamental causes of adversarial vulnerability in CNNs.
    • To provide a statistical physics perspective on CNN adversarial vulnerability.
    • To elucidate the relationship between microscopic neuron behavior and macroscopic network decisions.

    Main Methods:

    • A cross-scale analytical approach from a statistical physics perspective.
    • Analysis of nonlinear effects inherent in CNNs.
    • Development of a cascade failure algorithm to visualize micro-perturbation effects.

    Main Results:

    • Identified inherent nonlinear effects in CNNs as the fundamental cause of vulnerability.
    • Demonstrated spontaneous formation of vulnerability on a macroscopic level due to nonlinear interactions.
    • Visualized how micro-perturbations in neuron activation cascade to affect macro decision paths.
    • Empirically showed the interplay between micro-level activation maps and macro-level decision-making.

    Conclusions:

    • The study provides a novel statistical physics framework for understanding CNN adversarial vulnerability.
    • Nonlinear dynamics within CNNs are the root cause of their susceptibility to adversarial attacks.
    • Findings offer insights for improving the adversarial robustness of CNNs in future research.