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Adversarial training and adversarial purification are two widely used defense strategies for enhancing model robustness against adversarial attacks. However, adversarial training requires costly retraining, while adversarial purification…

Computer Vision and Pattern Recognition · Computer Science 2025-09-17 Xuelong Dai , Dong Wang , Xiuzhen Cheng , Bin Xiao

Score-based generative models have demonstrated significant practical success in data-generating tasks. The models establish a diffusion process that perturbs the ground truth data to Gaussian noise and then learn the reverse process to…

Machine Learning · Computer Science 2024-05-24 Ziqing Wen , Xiaoge Deng , Ping Luo , Tao Sun , Dongsheng Li

The autoregressive time series model is a popular second-order stationary process, modeling a wide range of real phenomena. However, in applications, autoregressive signals are often corrupted by additive noise. Further, the autoregressive…

Methodology · Statistics 2025-12-09 Sayantan Banerjee , Agnieszka Wylomanska , Sundar S

We prove novel algorithmic guarantees for several online problems in the smoothed analysis model. In this model, at each time an adversary chooses an input distribution with density function bounded above by $\tfrac{1}{\sigma}$ times that…

Machine Learning · Computer Science 2021-08-20 Nika Haghtalab , Tim Roughgarden , Abhishek Shetty

Data sharpening has been shown to reduce bias in nonparametric regression and density estimation. Its performance on nonlinear first order autoregressive models is studied theoretically and numerically in this paper. Although the asymptotic…

Methodology · Statistics 2025-05-13 Simon Snyman , Lengyi Han , W. John Braun

Image classifiers often suffer from adversarial examples, which are generated by strategically adding a small amount of noise to input images to trick classifiers into misclassification. Over the years, many defense mechanisms have been…

Machine Learning · Computer Science 2020-01-22 Huangyi Ge , Sze Yiu Chau , Bruno Ribeiro , Ninghui Li

Recent works have shown that deep neural networks are vulnerable to adversarial examples that find samples close to the original image but can make the model misclassify. Even with access only to the model's output, an attacker can employ…

Machine Learning · Computer Science 2023-10-03 Quang H. Nguyen , Yingjie Lao , Tung Pham , Kok-Seng Wong , Khoa D. Doan

Despite remarkable performance in producing realistic samples, Generative Adversarial Networks (GANs) often produce low-quality samples near low-density regions of the data manifold, e.g., samples of minor groups. Many techniques have been…

Machine Learning · Computer Science 2021-10-28 Jinhee Lee , Haeri Kim , Youngkyu Hong , Hye Won Chung

Generative adversarial networks constitute a powerful approach to generative modeling. While generated samples often are indistinguishable from real data, there is no guarantee that they will follow the true data distribution. For…

Machine Learning · Statistics 2024-09-09 Philipp Pilar , Niklas Wahlström

In this work, we propose \texttt{TimeGrad}, an autoregressive model for multivariate probabilistic time series forecasting which samples from the data distribution at each time step by estimating its gradient. To this end, we use diffusion…

Machine Learning · Computer Science 2021-07-09 Kashif Rasul , Calvin Seward , Ingmar Schuster , Roland Vollgraf

Zero-shot diffusion posterior sampling offers a flexible framework for inverse problems by accommodating arbitrary degradation operators at test time, but incurs high computational cost due to repeated likelihood-guided updates. In…

Machine Learning · Statistics 2026-02-10 Léon Zheng , Thomas Hirtz , Yazid Janati , Eric Moulines

Using a perturbation technique, we derive a new approximate filtering and smoothing methodology generalizing along different directions several existing approaches to robust filtering based on the score and the Hessian matrix of the…

Methodology · Statistics 2023-06-06 Giuseppe Buccheri , Giacomo Bormetti , Fulvio Corsi , Fabrizio Lillo

Recent work by Marino et al. (2020) showed improved performance in sequential density estimation by combining masked autoregressive flows with hierarchical latent variable models. We draw a connection between such autoregressive generative…

Image and Video Processing · Electrical Eng. & Systems 2023-12-20 Ruihan Yang , Yibo Yang , Joseph Marino , Stephan Mandt

The goal of 2D tomographic reconstruction is to recover an image given its projections from various views. It is often presumed that projection angles associated with the projections are known in advance. Under certain situations, however,…

Image and Video Processing · Electrical Eng. & Systems 2021-11-16 Mona Zehni , Zhizhen Zhao

Correctly capturing the symmetry transformations of data can lead to efficient models with strong generalization capabilities, though methods incorporating symmetries often require prior knowledge. While recent advancements have been made…

The strategy of combining diffusion-based generative models with classifiers continues to demonstrate state-of-the-art performance on adversarial robustness benchmarks. Known as adversarial purification, this exploits a diffusion model's…

Cryptography and Security · Computer Science 2026-01-06 David D. Nguyen , The-Anh Ta , Yansong Gao , Alsharif Abuadbba

In this age of information, images are a critical medium for storing and transmitting information. With the rapid growth of image data amount, visual compression and visual data perception are two important research topics attracting a lot…

Image and Video Processing · Electrical Eng. & Systems 2024-07-02 Yuefeng Zhang , Chuanmin Jia , Jiannhui Chang , Siwei Ma

We extend randomized smoothing to cover parameterized transformations (e.g., rotations, translations) and certify robustness in the parameter space (e.g., rotation angle). This is particularly challenging as interpolation and rounding…

Machine Learning · Computer Science 2021-08-26 Marc Fischer , Maximilian Baader , Martin Vechev

We propose a novel approach for generating unrestricted adversarial examples by manipulating fine-grained aspects of image generation. Unlike existing unrestricted attacks that typically hand-craft geometric transformations, we learn…

Computer Vision and Pattern Recognition · Computer Science 2020-10-23 Omid Poursaeed , Tianxing Jiang , Yordanos Goshu , Harry Yang , Serge Belongie , Ser-Nam Lim

Deep neural networks are vulnerable to adversarial perturbations, limiting deployment in safety-critical applications such as synthetic aperture radar (SAR) automatic target recognition (ATR). Randomized smoothing improves robustness by…

Computer Vision and Pattern Recognition · Computer Science 2026-05-19 Daniel Brignac , Fengwei Tian , Banafsheh Latibari , Abhijit Mahalanobis , Ravi Tandon
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