Probabilistic Adversarial Training

arXiv:2609.39798 · cs.LG, cs.AI, stat.ML · Submitted 2026-09-30 · Read on arXiv

cs.LG, cs.AI, stat.ML

Submitted: 2026-09-30

Updated: 2026-09-30

Terminology

• Robustness — 63× in this paper · explained in 5 episodes
• Adversarial Training — 36× in this paper · explained in 1 episode
• Probabilistic Robustness — 36× in this paper
• Adversarial Examples — 13× in this paper · explained in 2 episodes
• Probabilistic Adversarial Training — 13× in this paper
• Langevin Dynamics — 9× in this paper · explained in 2 episodes
• Adversarial Attacks — 7× in this paper · explained in 1 episode
• Self-Normalized Importance Sampling — 5× in this paper
• Ablation — 4× in this paper · explained in 1 episode
• Consistency — 4× in this paper · explained in 3 episodes
• Regularization — 4× in this paper · explained in 3 episodes
• Adversarial Robustness — 3× in this paper · explained in 3 episodes
• Adversarial Training (AT) — 3× in this paper · explained in 1 episode
• Accuracy — 2× in this paper · explained in 1 episode
• By the Strong Law of Large Numbers — 2× in this paper
• Core — 2× in this paper · explained in 2 episodes
• Loss Function — 2× in this paper · explained in 2 episodes
• Ablation Studies — 1× in this paper · explained in 1 episode
• Ablation study — 1× in this paper · explained in 1 episode
• Adversarial Defense — 1× in this paper · explained in 1 episode
• Adversarial Vulnerabilities — 1× in this paper · explained in 1 episode
• Calibration — 1× in this paper · explained in 7 episodes
• Corruption Robustness — 1× in this paper · explained in 2 episodes
• Data Augmentation — 1× in this paper · explained in 7 episodes
• Projected Gradient Descent — 1× in this paper
• Stochastic Gradient Descent (SGD) — 1× in this paper · explained in 5 episodes
• Verification — 1× in this paper · explained in 2 episodes

Sources

• Explaining and Harnessing Adversarial Examples
• Adversarial Logit Pairing
• Adversarial Training Can Provably Improve Robustness: Theoretical Analysis of Feature Learning Process Under Structured Data
• Intriguing properties of neural networks
• A Statistical Approach to Assessing Neural Network Robustness
• Fast is better than free: Revisiting adversarial training

Related papers

• Polynomial-Augmented Neural Networks (PANNs) with Weak Orthogonality Constraints for Enhanced Function and PDE Approximation
• AIRL-S: Unifying Reinforcement Learning and Search-Based Test-Time Scaling via Adversarial Inverse Reinforcement Learning
• Transformers as Bayesian In-Context Experimenters: Smoothness-Adaptive Efficient ATE Estimation
• Convergence issues in Relational Concept Analysis based on AOC-posets
• Beliefs Beyond Posteriors: Local-Consistency Optimisation for Bayesian Neural Networks
• Understanding Diffusion Models via Ratio-Based Function Approximation with SignReLU Networks