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We study finite-sample statistical performance guarantees for distributionally robust optimization (DRO) with optimal transport (OT) and OT-regularized divergence model neighborhoods. Specifically, we derive concentration inequalities for…

机器学习 · 统计学 2026-03-31 Jeremiah Birrell , Xiaoxi Shen

Given a collection of probability measures, a practitioner sometimes needs to find an "average" distribution which adequately aggregates reference distributions. A theoretically appealing notion of such an average is the Wasserstein…

Deep learning classifiers are now known to have flaws in the representations of their class. Adversarial attacks can find a human-imperceptible perturbation for a given image that will mislead a trained model. The most effective methods to…

机器学习 · 计算机科学 2021-05-19 Quentin Bouniot , Romaric Audigier , Angélique Loesch

Aggregating data from multiple sources can be formalized as an Optimal Transport (OT) barycenter problem, which seeks to compute the average of probability distributions with respect to OT discrepancies. However, in real-world scenarios,…

We introduce a new class of optimal-transport-regularized divergences, $D^c$, constructed via an infimal convolution between an information divergence, $D$, and an optimal-transport (OT) cost, $C$, and study their use in distributionally…

机器学习 · 计算机科学 2025-07-25 Jeremiah Birrell , Reza Ebrahimi

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…

机器学习 · 计算机科学 2022-10-06 Yihua Zhang , Guanhua Zhang , Prashant Khanduri , Mingyi Hong , Shiyu Chang , Sijia Liu

We present a new algorithm to train a robust neural network against adversarial attacks. Our algorithm is motivated by the following two ideas. First, although recent work has demonstrated that fusing randomness can improve the robustness…

机器学习 · 计算机科学 2019-05-07 Xuanqing Liu , Yao Li , Chongruo Wu , Cho-Jui Hsieh

Deep neural networks (DNNs) are vulnerable to adversarial examples, in which DNNs are misled to false outputs due to inputs containing imperceptible perturbations. Adversarial training, a reliable and effective method of defense, may…

计算机视觉与模式识别 · 计算机科学 2025-11-14 Zongyuan Zhang , Qingwen Bu , Tianyang Duan , Zheng Lin , Yuhao Qing , Zihan Fang , Heming Cui , Dong Huang

Backdoor attacks present a serious security threat to deep neuron networks (DNNs). Although numerous effective defense techniques have been proposed in recent years, they inevitably rely on the availability of either clean or poisoned data.…

密码学与安全 · 计算机科学 2024-08-29 Weilin Lin , Li Liu , Jianze Li , Hui Xiong

Optimal transport (OT) barycenters are a mathematically grounded way of averaging probability distributions while capturing their geometric properties. In short, the barycenter task is to take the average of a collection of probability…

This paper addresses a significant gap in Autonomous Cyber Operations (ACO) literature: the absence of effective edge-blocking ACO strategies in dynamic, real-world networks. It specifically targets the cybersecurity vulnerabilities of…

密码学与安全 · 计算机科学 2024-07-01 Diksha Goel , Kristen Moore , Mingyu Guo , Derui Wang , Minjune Kim , Seyit Camtepe

Current deep neural networks (DNNs) are vulnerable to adversarial attacks, where adversarial perturbations to the inputs can change or manipulate classification. To defend against such attacks, an effective and popular approach, known as…

机器学习 · 计算机科学 2022-09-08 Gaoyuan Zhang , Songtao Lu , Yihua Zhang , Xiangyi Chen , Pin-Yu Chen , Quanfu Fan , Lee Martie , Lior Horesh , Mingyi Hong , Sijia Liu

Deep neural networks, particularly in vision tasks, are notably susceptible to adversarial perturbations. To overcome this challenge, developing a robust classifier is crucial. In light of the recent advancements in the robustness of…

计算机视觉与模式识别 · 计算机科学 2024-02-14 Binh M. Le , Shahroz Tariq , Simon S. Woo

Optimal Transport (OT) problem aims to find a transport plan that bridges two distributions while minimizing a given cost function. OT theory has been widely utilized in generative modeling. In the beginning, OT distance has been used as a…

机器学习 · 计算机科学 2024-03-08 Jaemoo Choi , Jaewoong Choi , Myungjoo Kang

Distributional robustness is a promising framework for training deep learning models that are less vulnerable to adversarial examples and data distribution shifts. Previous works have mainly focused on exploiting distributional robustness…

机器学习 · 计算机科学 2023-11-02 Van-Anh Nguyen , Trung Le , Anh Tuan Bui , Thanh-Toan Do , Dinh Phung

This thesis develops data-driven machine learning algorithms to managing and optimizing the next-generation highly complex cyberphysical systems, which desperately need ground-breaking control, monitoring, and decision making schemes that…

机器学习 · 计算机科学 2022-02-14 Alireza Sadeghi

We present a new algorithm to learn a deep neural network model robust against adversarial attacks. Previous algorithms demonstrate an adversarially trained Bayesian Neural Network (BNN) provides improved robustness. We recognize the…

机器学习 · 计算机科学 2023-12-04 Bao Gia Doan , Ehsan Abbasnejad , Javen Qinfeng Shi , Damith C. Ranasinghe

We consider robust variants of the standard optimal transport, named robust optimal transport, where marginal constraints are relaxed via Kullback-Leibler divergence. We show that Sinkhorn-based algorithms can approximate the optimal cost…

机器学习 · 计算机科学 2021-10-29 Khang Le , Huy Nguyen , Quang Nguyen , Tung Pham , Hung Bui , Nhat Ho

Wireless powered mobile-edge computing (MEC) has recently emerged as a promising paradigm to enhance the data processing capability of low-power networks, such as wireless sensor networks and internet of things (IoT). In this paper, we…

网络与互联网体系结构 · 计算机科学 2020-07-16 Liang Huang , Suzhi Bi , Ying-Jun Angela Zhang

This paper is concerned with the defense of deep models against adversarial attacks. Inspired by the certificate defense approach, we propose a maximal adversarial distortion (MAD) optimization method for robustifying deep networks. MAD…

机器学习 · 计算机科学 2020-06-16 Shai Rozenberg , Gal Elidan , Ran El-Yaniv
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