atlas

Research map / Adversarial robustness and security / Certified and empirical robustness

Tight Certificates of Adversarial Robustness for Randomly Smoothed Classifiers

NeurIPS 2019 · Adversarial robustness and security › Certified and empirical robustness · approach: Randomized smoothing certification · 51 citations (OpenAlex)

Read the paperCheck your idea against 108,967 papers

AI-extracted summary. Written by AI from the paper's title only (no summary yet). Numbers and claims can be wrong or missing context, so check the paper before you cite or build on it.

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use the discrete certificate instead of the Gaussian certificate on the same discrete-smoothed CNNBinarized MNIST CNN · Binarized MNIST testaverage certified ℓ0 radius μ(R): 1.799 -> 3.456Helped
Use discrete smoothing and certification instead of Gaussian smoothing and certificationCNN · Binarized MNIST testACC@1: 0.884 -> 0.921Helped
Use discrete smoothing and certification instead of Gaussian smoothing and certificationResNet50 · ImageNet validationACC@1: 0.372 -> 0.538Helped
Set the discrete-noise parameter α to 0.5, 0.4, 0.3, 0.2, or 0.1 rather than using one fixed setting (ablation)Discrete-smoothed ResNet50 · ImageNet validationACC@r across radii: r=1: 0.412, 0.538, 0.516, 0.448, 0.314; r=7: 0.000, 0.000, 0.000, 0.176, 0.100Mixed
Use the proposed randomly smoothed decision tree instead of a vanilla decision treeDecision tree · Bacerobust AUCHelped
Restrict the classifier to a decision tree that uses each input coordinate at most onceDiscrete-smoothed classifier · Binary discrete inputscertified robustnessHelped
Use the discrete distribution instead of Gaussian smoothing for ℓ0 certificationRandomly smoothed classifier · Binarized MNIST testACC@2: 0.557 -> 0.774Helped

Closest papers by meaning

Writing a paper in this area? scime draft is a free LaTeX editor with AI included, real-time co-authors and a check of your references and venue rules before you submit. It also imports OpenAI Prism projects.

Open scime draft

Get the next scime Dispatch and a monthly field update

Free. We send a confirmation link first; every email has a one-click unsubscribe. Privacy