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In this work, we present a novel learning-based framework that combines the local accuracy of contrastive learning with the global consistency of geometric approaches, for robust non-rigid matching. We first observe that while contrastive…

Computer Vision and Pattern Recognition · Computer Science 2022-09-19 Lei Li , Souhaib Attaiki , Maks Ovsjanikov

Deep neural network (DNN) is a popular model implemented in many systems to handle complex tasks such as image classification, object recognition, natural language processing etc. Consequently DNN structural vulnerabilities become part of…

Machine Learning · Computer Science 2021-07-02 Juan Shu , Bowei Xi , Charles Kamhoua

Geometry-aware optimization algorithms, such as Muon, have achieved remarkable success in training deep neural networks (DNNs). These methods leverage the underlying geometry of DNNs by selecting appropriate norms for different layers and…

Machine Learning · Computer Science 2026-02-04 Jie Hao , Xiaochuan Gong , Jie Xu , Zhengdao Wang , Mingrui Liu

Successful deep learning models often involve training neural network architectures that contain more parameters than the number of training samples. Such overparametrized models have been extensively studied in recent years, and the…

Machine Learning · Computer Science 2024-02-02 Hamed Hassani , Adel Javanmard

Deep learning models are being increasingly adopted in wide array of scientific domains, especially to handle high-dimensionality and volume of the scientific data. However, these models tend to be brittle due to their complexity and…

Astrophysics of Galaxies · Physics 2021-11-03 A. Ćiprijanović , D. Kafkes , G. N. Perdue , K. Pedro , G. Snyder , F. J. Sánchez , S. Madireddy , S. M. Wild , B. Nord

To improve the off-sample generalization of classical procedures minimizing the empirical risk under potentially heavy-tailed data, new robust learning algorithms have been proposed in recent years, with generalized median-of-means…

Machine Learning · Statistics 2018-10-16 Matthew J. Holland

Adjusting the learning rate schedule in stochastic gradient methods is an important unresolved problem which requires tuning in practice. If certain parameters of the loss function such as smoothness or strong convexity constants are known,…

Machine Learning · Statistics 2020-11-23 Xiaoxia Wu , Rachel Ward , Léon Bottou

Neural networks have achieved remarkable performance across a wide range of tasks, yet they remain susceptible to adversarial perturbations, which pose significant risks in safety-critical applications. With the rise of multimodality,…

Computer Vision and Pattern Recognition · Computer Science 2024-10-21 Xinxin Liu , Zhongliang Guo , Siyuan Huang , Chun Pong Lau

As the demand to integrate Artificial Intelligence into high-stakes environments continues to grow, explaining the reasoning behind neural-network predictions has shifted from a theoretical curiosity to a strict operational requirement. Our…

Machine Learning · Statistics 2026-04-27 Younes Essafouri , Laure Raynaud , Luciano Drozda , Laurent Risser

Feature alignment is an approach to improving robustness to distribution shift that matches the distribution of feature activations between the training distribution and test distribution. A particularly simple but effective approach to…

Computer Vision and Pattern Recognition · Computer Science 2021-03-11 Collin Burns , Jacob Steinhardt

Representation learning, i.e. the generation of representations useful for downstream applications, is a task of fundamental importance that underlies much of the success of deep neural networks (DNNs). Recently, robustness to adversarial…

Machine Learning · Computer Science 2022-09-16 Christian Cianfarani , Arjun Nitin Bhagoji , Vikash Sehwag , Ben Y. Zhao , Prateek Mittal , Haitao Zheng

Double robustness (DR) is a widely-used property of estimators that provides protection against model misspecification and slow convergence of nuisance functions. Despite its widespread application, the theoretical foundation of DR remains…

Statistics Theory · Mathematics 2025-07-22 Andrew Ying

Decentralized optimization has become a fundamental tool for large-scale learning systems; however, most existing methods rely on the classical Lipschitz smoothness assumption, which is often violated in problems with rapidly varying…

Optimization and Control · Mathematics 2026-01-08 Yanan Bo , Yongqiang Wang

Recurrent neural networks (RNNs) are a class of nonlinear dynamical systems often used to model sequence-to-sequence maps. RNNs have excellent expressive power but lack the stability or robustness guarantees that are necessary for many…

Machine Learning · Computer Science 2020-10-06 Max Revay , Ruigang Wang , Ian R. Manchester

Recent progress in empirical and certified robustness promises to deliver reliable and deployable Deep Neural Networks (DNNs). Despite that success, most existing evaluations of DNN robustness have been done on images sampled from the same…

Machine Learning · Computer Science 2023-11-08 Kumail Alhamoud , Hasan Abed Al Kader Hammoud , Motasem Alfarra , Bernard Ghanem

Graph Neural Networks (GNNs) are increasingly important given their popularity and the diversity of applications. Yet, existing studies of their vulnerability to adversarial attacks rely on relatively small graphs. We address this gap and…

Machine Learning · Computer Science 2023-05-02 Simon Geisler , Tobias Schmidt , Hakan Şirin , Daniel Zügner , Aleksandar Bojchevski , Stephan Günnemann

Oversmoothing has long been identified as a major limitation of Graph Neural Networks (GNNs): input node features are smoothed at each layer and converge to a non-informative representation, if the weights of the GNN are sufficiently…

Machine Learning · Computer Science 2026-03-16 Nicolas Keriven

The starting assumptions to study the convergence and complexity of gradient-type methods may be the smoothness (also called Lipschitz continuity of gradient) and the strong convexity. In this note, we revisit these two basic properties…

Optimization and Control · Mathematics 2021-11-01 Lu Zhang , Jiani Wang , Hui Zhang

We propose graph-dependent implicit regularisation strategies for distributed stochastic subgradient descent (Distributed SGD) for convex problems in multi-agent learning. Under the standard assumptions of convexity, Lipschitz continuity,…

Machine Learning · Computer Science 2018-09-20 Dominic Richards , Patrick Rebeschini

The problem of adversarial examples has shown that modern Neural Network (NN) models could be rather fragile. Among the more established techniques to solve the problem, one is to require the model to be {\it $\epsilon$-adversarially…

Machine Learning · Computer Science 2020-11-17 Yuxin Wen , Shuai Li , Kui Jia
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