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Multi-armed adversarial attacks, in which multiple algorithms and objective loss functions are simultaneously used at evaluation time, have been shown to be highly successful in fooling state-of-the-art adversarial examples detectors while…

Computer Vision and Pattern Recognition · Computer Science 2023-02-07 Federica Granese , Marco Romanelli , Siddharth Garg , Pablo Piantanida

Despite the high performance achieved by deep neural networks on various tasks, extensive studies have demonstrated that small tweaks in the input could fail the model predictions. This issue of deep neural networks has led to a number of…

Machine Learning · Computer Science 2022-02-22 Ming-Chang Chiu , Xuezhe Ma

This paper presents a resilient distributed algorithm for solving a system of linear algebraic equations over a multi-agent network in the presence of Byzantine agents capable of arbitrarily introducing untrustworthy information in…

Systems and Control · Electrical Eng. & Systems 2023-04-04 Jingxuan Zhu , Alvaro Velasquez , Ji Liu

Deep neural networks are at the forefront of machine learning research. However, despite achieving impressive performance on complex tasks, they can be very sensitive: Small perturbations of inputs can be sufficient to induce incorrect…

Computer Vision and Pattern Recognition · Computer Science 2020-09-04 Alex Serban , Erik Poll , Joost Visser

We consider a distributed reinforcement learning setting where multiple agents separately explore the environment and communicate their experiences through a central server. However, $\alpha$-fraction of agents are adversarial and can…

Machine Learning · Computer Science 2022-06-02 Yiding Chen , Xuezhou Zhang , Kaiqing Zhang , Mengdi Wang , Xiaojin Zhu

We study mean estimation of a random vector $X$ in a distributed parameter-server-worker setup. Worker $i$ observes samples of $a_i^\top X$, where $a_i^\top$ is the $i$th row of a known sensing matrix $A$. The key challenges are adversarial…

Deep neural networks obtain state-of-the-art performance on a series of tasks. However, they are easily fooled by adding a small adversarial perturbation to input. The perturbation is often human imperceptible on image data. We observe a…

Machine Learning · Computer Science 2019-06-11 Puyudi Yang , Jianbo Chen , Cho-Jui Hsieh , Jane-Ling Wang , Michael I. Jordan

In this work, we propose a robust approach to design distributed controllers for unknown-but-sparse linear and time-invariant systems. By leveraging modern techniques in distributed controller synthesis and structured linear inverse…

Optimization and Control · Mathematics 2019-10-14 Salar Fattahi , Nikolai Matni , Somayeh Sojoudi

We consider an adversarially-trained version of the nonnegative matrix factorization, a popular latent dimensionality reduction technique. In our formulation, an attacker adds an arbitrary matrix of bounded norm to the given data matrix. We…

Machine Learning · Computer Science 2021-08-11 Ting Cai , Vincent Y. F. Tan , Cédric Févotte

In recent years, there is a growing need to train machine learning models on a huge volume of data. Designing efficient distributed optimization algorithms for empirical risk minimization (ERM) has therefore become an active and challenging…

Optimization and Control · Mathematics 2019-11-19 Ching-pei Lee , Kai-Wei Chang

The robustness of distributed optimization is an emerging field of study, motivated by various applications of distributed optimization including distributed machine learning, distributed sensing, and swarm robotics. With the rapid…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-29 Shuo Liu

The Kaczmarz algorithm is popular for iteratively solving an overdetermined system of linear equations. The traditional Kaczmarz algorithm can approximate the solution in few sweeps through the equations but a randomized version of the…

Numerical Analysis · Computer Science 2014-02-04 Hemant Kumar Aggarwal , Angshul Majumdar

The randomized Kaczmarz (RK) method is a well-known approach for solving linear least-squares problems with a large number of rows. RK accesses and processes just one row at a time, leading to exponentially fast convergence for consistent…

Numerical Analysis · Mathematics 2025-04-11 Ethan N. Epperly , Gil Goldshlager , Robert J. Webber

We propose a novel data-driven method to learn a mixture of multiple kernels with random features that is certifiabaly robust against adverserial inputs. Specifically, we consider a distributionally robust optimization of the kernel-target…

Machine Learning · Computer Science 2021-04-15 Masoud Badiei Khuzani , Hongyi Ren , Md Tauhidul Islam , Lei Xing

Solving linear systems of equations is a fundamental problem in mathematics. When the linear system is so large that it cannot be loaded into memory at once, iterative methods such as the randomized Kaczmarz method excel. Here, we extend…

Numerical Analysis · Mathematics 2020-06-03 Anna Ma , Denali Molitor

Stochastic variance reduced methods have gained a lot of interest recently for empirical risk minimization due to its appealing run time complexity. When the data size is large and disjointly stored on different machines, it becomes…

Machine Learning · Computer Science 2020-08-26 Shicong Cen , Huishuai Zhang , Yuejie Chi , Wei Chen , Tie-Yan Liu

In this paper, distributed energy management of interconnected microgrids, which is stated as a dynamic economic dispatch problem, is studied. Since the distributed approach requires cooperation of all local controllers, when some of them…

Systems and Control · Computer Science 2018-09-17 Wicak Ananduta , José María Maestre , Carlos Ocampo-Martinez , Hideaki Ishii

We study high-dimensional distribution learning in an agnostic setting where an adversary is allowed to arbitrarily corrupt an $\varepsilon$-fraction of the samples. Such questions have a rich history spanning statistics, machine learning…

Data Structures and Algorithms · Computer Science 2019-03-18 Ilias Diakonikolas , Gautam Kamath , Daniel Kane , Jerry Li , Ankur Moitra , Alistair Stewart

The randomized Kaczmarz algorithm has received considerable attention recently because of its simplicity, speed, and the ability to approximately solve large-scale linear systems of equations. In this paper we propose randomized double and…

Numerical Analysis · Mathematics 2020-10-28 Kui Du , Xiao-Hui Sun

We propose a new simulation-based estimation method, adversarial estimation, for structural models. The estimator is formulated as the solution to a minimax problem between a generator (which generates simulated observations using the…

Econometrics · Economics 2024-01-09 Tetsuya Kaji , Elena Manresa , Guillaume Pouliot
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