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Numerous problems in machine learning are formulated as optimization with manifold constraints. In this paper, we propose the Manifold alternating directions method of multipliers (MADMM), an extension of the classical ADMM scheme for…

Optimization and Control · Mathematics 2015-05-29 Artiom Kovnatsky , Klaus Glashoff , Michael M. Bronstein

Many machine learning algorithms are vulnerable to almost imperceptible perturbations of their inputs. So far it was unclear how much risk adversarial perturbations carry for the safety of real-world machine learning applications because…

Machine Learning · Statistics 2018-02-19 Wieland Brendel , Jonas Rauber , Matthias Bethge

One of the crucial issues in federated learning is how to develop efficient optimization algorithms. Most of the current ones require full device participation and/or impose strong assumptions for convergence. Different from the widely-used…

Optimization and Control · Mathematics 2023-09-26 Shenglong Zhou , Geoffrey Ye Li

Distribution Matching Distillation (DMD) is a promising score distillation technique that compresses pre-trained teacher diffusion models into efficient one-step or multi-step student generators. Nevertheless, its reliance on the reverse…

Computer Vision and Pattern Recognition · Computer Science 2025-07-25 Yanzuo Lu , Yuxi Ren , Xin Xia , Shanchuan Lin , Xing Wang , Xuefeng Xiao , Andy J. Ma , Xiaohua Xie , Jian-Huang Lai

The alternating direction method of multipliers (ADMM) is a powerful optimization solver in machine learning. Recently, stochastic ADMM has been integrated with variance reduction methods for stochastic gradient, leading to SAG-ADMM and…

Machine Learning · Computer Science 2016-10-18 Shuai Zheng , James T. Kwok

Many machine learning models, including those with non-smooth regularizers, can be formulated as consensus optimization problems, which can be solved by the alternating direction method of multipliers (ADMM). Many recent efforts have been…

Machine Learning · Computer Science 2018-02-27 Rui Zhu , Di Niu , Zongpeng Li

Detecting out-of-distribution (OOD) inputs is critical for safely deploying deep learning models in an open-world setting. However, existing OOD detection solutions can be brittle in the open world, facing various types of adversarial OOD…

Machine Learning · Computer Science 2021-07-01 Jiefeng Chen , Yixuan Li , Xi Wu , Yingyu Liang , Somesh Jha

Deep learning models are vulnerable to adversarial examples, which poses an indisputable threat to their applications. However, recent studies observe gradient-masking defenses are self-deceiving methods if an attacker can realize this…

Machine Learning · Computer Science 2019-02-19 Yueyao Yu , Pengfei Yu , Wenye Li

Deep learning models are susceptible to adversarial examples that have imperceptible perturbations in the original input, resulting in adversarial attacks against these models. Analysis of these attacks on the state of the art transformers…

Computation and Language · Computer Science 2021-01-22 Vijit Malik , Ashwani Bhat , Ashutosh Modi

Deep reinforcement learning (DRL) has emerged as a promising approach for robotic control, but its realworld deployment remains challenging due to its vulnerability to environmental perturbations. Existing white-box adversarial attack…

Machine Learning · Computer Science 2025-03-28 Zongyuan Zhang , Tianyang Duan , Zheng Lin , Dong Huang , Zihan Fang , Zekai Sun , Ling Xiong , Hongbin Liang , Heming Cui , Yong Cui , Yue Gao

Adversarial training (AT) is a widely recognized defense mechanism to gain the robustness of deep neural networks against adversarial attacks. It is built on min-max optimization (MMO), where the minimizer (i.e., defender) seeks a robust…

Machine Learning · Computer Science 2022-10-06 Yihua Zhang , Guanhua Zhang , Prashant Khanduri , Mingyi Hong , Shiyu Chang , Sijia Liu

Deep learning models are vulnerable to adversarial examples, which can fool a target classifier by imposing imperceptible perturbations onto natural examples. In this work, we consider the practical and challenging decision-based black-box…

Machine Learning · Computer Science 2021-05-11 Qi-An Fu , Yinpeng Dong , Hang Su , Jun Zhu

Deep Learning has become popular due to its vast applications in almost all domains. However, models trained using deep learning are prone to failure for adversarial samples and carry a considerable risk in sensitive applications. Most of…

Computer Vision and Pattern Recognition · Computer Science 2024-05-13 Satyadwyoom Kumar , Saurabh Gupta , Arun Balaji Buduru

Deep neural networks are vulnerable to adversarial examples, even in the black-box setting, where the attacker is restricted solely to query access. Existing black-box approaches to generating adversarial examples typically require a…

Machine Learning · Computer Science 2019-07-02 Moustafa Alzantot , Yash Sharma , Supriyo Chakraborty , Huan Zhang , Cho-Jui Hsieh , Mani Srivastava

In this work, we present a hardware compatible neural network training algorithm in which we used alternating direction method of multipliers (ADMM) and iterative least-square methods. The motive behind this approach was to conduct a method…

Machine Learning · Computer Science 2020-09-08 Seyedeh Niusha Alavi Foumani , Ce Guo , Wayne Luk

Adversarial attack has garnered considerable attention due to its profound implications for the secure deployment of robots in sensitive security scenarios. To potentially push for advances in the field, this paper studies the adversarial…

Cryptography and Security · Computer Science 2024-07-17 Mingyuan Fan , Yang Liu , Cen Chen , Ximeng Liu

An outlier-resistance phase retrieval algorithm based on alternating direction method of multipliers (ADMM) is devised in this letter. Instead of the widely used least squares criterion that is only optimal for Gaussian noise environment,…

Information Theory · Computer Science 2017-02-22 Xue Jiang , H. C. So , X. Liu

Inexact alternating direction multiplier methods (ADMMs) are developed for solving general separable convex optimization problems with a linear constraint and with an objective that is the sum of smooth and nonsmooth terms. The approach…

Optimization and Control · Mathematics 2016-04-12 William W. Hager , Hongchao Zhang

Aiming at solving large-scale learning problems, this paper studies distributed optimization methods based on the alternating direction method of multipliers (ADMM). By formulating the learning problem as a consensus problem, the ADMM can…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-05-04 Tsung-Hui Chang , Mingyi Hong , Wei-Cheng Liao , Xiangfeng Wang

The growing demand for efficient delivery of common content to multiple user equipments (UEs) has motivated significant research in physical-layer multicasting. By exploiting the beamforming capabilities of massive MIMO, multicasting…

Signal Processing · Electrical Eng. & Systems 2025-11-11 Mahmoud Zaher , Emil Björnson
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