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MMCert: Provable Defense against Adversarial Attacks to Multi-modal Models

CVPR 2024 · Adversarial robustness and security › Certified and empirical robustness · approach: Provable defenses and their limits · 7 citations (OpenAlex)

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Proposes MMCert, the first certified defense for multi-modal models, using independent per-modality sub-sampling with a Neyman-Pearson-based ensemble to certify robustness against l0-like modification, addition, and deletion attacks.

Problem

Multi-modal models are vulnerable to adversarial perturbations across all modalities simultaneously, and existing certified defenses designed for unimodal inputs give suboptimal guarantees when extended to multi-modal inputs.

Approach

Independently sub-sample a fixed number of basic elements from each modality, build an ensemble of base multi-modal predictions, and derive a certified robustness bound per modality (with Holm-Bonferroni for segmentation), so the attacker's per-modality budgets are handled separately rather than as one l0 ball.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
MMCert modality-independent sub-sampling instead of randomized ablation on merged modalitiesmulti-modal emotion recognition and road segmentation · RAVDESS and KITTI Roadcertified accuracy / certified pixel accuracy, F-score, IoU: consistently outperforms randomized ablation for all r1, r2 combinationsHelped
choose larger k1/k2 ratio (sub-sample fewer elements from higher-attack modality) (ablation)MMCert sub-sampling · KITTI Roadcertified pixel accuracy/F-score/IoU: k2=9k1 outperforms k2=3k1 when r2>r1, gap grows with r2/r1Helped
ratio k1=k2 vs k1=3k2 vs k1=9k2 when r2=r1 (ablation)MMCert sub-sampling · KITTI Roadcertified pixel accuracy/F-score/IoUNo clear effect
attack type: modification vs addition vs deletion (ablation)MMCert on RAVDESS · RAVDESScertified accuracy: modification drops to 0 at r1=r2=10; addition >0.4; deletion >0.6Mixed

Surprising findings

Limitations

Experimental setup

Datasets: RAVDESS KITTI Road

Benchmarks: RAVDESS KITTI Road

Metrics: certified accuracy certified pixel accuracy certified F-score certified IoU

Baselines: randomized ablation

Builds on: randomized ablation Fischer et al. certified segmentation Neyman-Pearson lemma Clopper-Pearson confidence bounds

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