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Deep Neural Networks (DNNs) have demonstrated exceptional performance on most recognition tasks such as image classification and segmentation. However, they have also been shown to be vulnerable to adversarial examples. This phenomenon has…

Computer Vision and Pattern Recognition · Computer Science 2018-07-10 Anurag Arnab , Ondrej Miksik , Philip H. S. Torr

Intentionally crafted adversarial samples have effectively exploited weaknesses in deep neural networks. A standard method in adversarial robustness assumes a framework to defend against samples crafted by minimally perturbing a sample such…

Machine Learning · Computer Science 2022-11-07 Anaelia Ovalle , Evan Czyzycki , Cho-Jui Hsieh

We initiate a program of average smoothness analysis for efficiently learning real-valued functions on metric spaces. Rather than using the Lipschitz constant as the regularizer, we define a local slope at each point and gauge the function…

Statistics Theory · Mathematics 2020-11-10 Yair Ashlagi , Lee-Ad Gottlieb , Aryeh Kontorovich

Deep neural networks (DNNs) have gained prominence in various applications, such as classification, recognition, and prediction, prompting increased scrutiny of their properties. A fundamental attribute of traditional DNNs is their…

Machine Learning · Computer Science 2023-08-15 Roman Garaev , Bader Rasheed , Adil Khan

In this paper we consider Deep Neural Networks (DNNs) with a smooth activation function as surrogates for high-dimensional functions that are somewhat smooth but costly to evaluate. We consider the standard (non-periodic) DNNs as well as…

Numerical Analysis · Mathematics 2026-03-04 Alexander Keller , Frances Y. Kuo , Dirk Nuyens , Ian H. Sloan

The validity of estimation and smoothing parameter selection for the wide class of generalized additive models for location, scale and shape (GAMLSS) relies on the correct specification of a likelihood function. Deviations from such…

Methodology · Statistics 2019-11-14 William H. Aeberhard , Eva Cantoni , Giampiero Marra , Rosalba Radice

Ensuring the trustworthiness and interpretability of machine learning models is critical to their deployment in real-world applications. Feature attribution methods have gained significant attention, which provide local explanations of…

Machine Learning · Computer Science 2023-09-20 Md Abdul Kadir , Gowtham Krishna Addluri , Daniel Sonntag

Saliency maps have been widely used to interpret the decisions of neural network classifiers and discover phenomena from their learned functions. However, standard gradient-based maps are frequently observed to be highly sensitive to the…

Computer Vision and Pattern Recognition · Computer Science 2025-03-12 Zhuorui Ye , Farzan Farnia

In the last several years, the intimate connection between convex optimization and learning problems, in both statistical and sequential frameworks, has shifted the focus of algorithmic machine learning to examine this interplay. In…

Machine Learning · Computer Science 2014-07-23 Mehrdad Mahdavi

Post-hoc attribution methods aim to explain deep learning predictions by highlighting influential input pixels. However, these explanations are highly non-robust: small, imperceptible input perturbations can drastically alter the…

Machine Learning · Computer Science 2025-06-19 Alaa Anani , Tobias Lorenz , Mario Fritz , Bernt Schiele

Understanding the dynamic processes of the glassy system continues to be challenging. Recent advances have shown the power of graph neural networks (GNNs) for determining the correlation between structure and dynamics in the glassy system.…

Disordered Systems and Neural Networks · Physics 2023-10-18 Xiao Jiang , Zean Tian , Kenli Li

Deep unrolling, or unfolding, is an emerging learning-to-optimize method that unrolls a truncated iterative algorithm in the layers of a trainable neural network. However, the convergence guarantees and generalizability of the unrolled…

Machine Learning · Computer Science 2024-12-02 Samar Hadou , Navid NaderiAlizadeh , Alejandro Ribeiro

Gradient-based saliency methods such as Vanilla Gradient (VG) and Integrated Gradients (IG) are widely used to explain image classifiers, yet the resulting maps are often noisy and unstable, limiting their usefulness in high-stakes…

Computer Vision and Pattern Recognition · Computer Science 2026-03-10 Dipkamal Bhusal , Md Tanvirul Alam , Nidhi Rastogi

Quantized neural networks (NN) are the common standard to efficiently deploy deep learning models on tiny hardware platforms. However, we notice that quantized NNs are as vulnerable to adversarial attacks as the full-precision models. With…

Machine Learning · Computer Science 2021-05-17 Lorena Qendro , Sangwon Ha , René de Jong , Partha Maji

Verifying correctness of deep neural networks (DNNs) is challenging. We study a generic reachability problem for feed-forward DNNs which, for a given set of inputs to the network and a Lipschitz-continuous function over its outputs,…

Machine Learning · Computer Science 2018-05-08 Wenjie Ruan , Xiaowei Huang , Marta Kwiatkowska

Recent studies show that Graph Neural Networks (GNNs) are vulnerable to adversarial attack, i.e., an imperceptible structure perturbation can fool GNNs to make wrong predictions. Some researches explore specific properties of clean graphs…

Machine Learning · Computer Science 2022-03-23 Guangqian Yang , Yibing Zhan , Jinlong Li , Baosheng Yu , Liu Liu , Fengxiang He

Although deep neural networks (DNNs) have achieved great success in many tasks, they can often be fooled by \emph{adversarial examples} that are generated by adding small but purposeful distortions to natural examples. Previous studies to…

Computer Vision and Pattern Recognition · Computer Science 2017-12-07 Weilin Xu , David Evans , Yanjun Qi

Gradient-variation online learning aims to achieve regret guarantees that scale with variations in the gradients of online functions, which has been shown to be crucial for attaining fast convergence in games and robustness in stochastic…

Machine Learning · Computer Science 2024-11-05 Yan-Feng Xie , Peng Zhao , Zhi-Hua Zhou

Randomized smoothing is a powerful tool for certifying robustness to adversarial perturbations, including poisoning attacks via randomized training and evasion attacks via randomized inference. Extending these guarantees to backdoor…

Machine Learning · Computer Science 2026-05-22 Aman Saxena , Jan Schuchardt , Yan Scholten , Stephan Günnemann

Recent studies have shown that many nonconvex machine learning problems satisfy a generalized-smooth condition that extends beyond traditional smooth nonconvex optimization. However, the existing algorithms are not fully adapted to such…

Optimization and Control · Mathematics 2025-10-03 Yufeng Yang , Erin Tripp , Yifan Sun , Shaofeng Zou , Yi Zhou
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