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The dynamic set cover problem has been subject to growing research attention in recent years. In this problem, we are given as input a dynamic universe of at most $n$ elements and a fixed collection of $m$ sets, where each element appears…

Data Structures and Algorithms · Computer Science 2024-07-10 Shay Solomon , Amitai Uzrad , Tianyi Zhang

We establish the first update-time separation between dynamic algorithms against oblivious adversaries and those against adaptive adversaries in natural dynamic graph problems, based on popular fine-grained complexity hypotheses.…

Data Structures and Algorithms · Computer Science 2025-10-24 Aaron Bernstein , Sayan Bhattacharya , Nick Fischer , Peter Kiss , Thatchaphol Saranurak

This paper presents RADAR-Robust Adversarial Detection via Adversarial Retraining-an approach designed to enhance the robustness of adversarial detectors against adaptive attacks, while maintaining classifier performance. An adaptive attack…

Computer Vision and Pattern Recognition · Computer Science 2024-07-02 Raz Lapid , Almog Dubin , Moshe Sipper

Modern machine learning models with very high accuracy have been shown to be vulnerable to small, adversarially chosen perturbations of the input. Given black-box access to a high-accuracy classifier $f$, we show how to construct a new…

Machine Learning · Computer Science 2019-12-17 Grzegorz Głuch , Rüdiger Urbanke

We present a novel approach for designing complex approximate arithmetic circuits that trade correctness for power consumption and play important role in many energy-aware applications. Our approach integrates in a unique way formal methods…

Neural and Evolutionary Computing · Computer Science 2020-07-03 Milan Ceska , Jiri Matyas , Vojtech Mrazek , Lukas Sekanina , Zdenek Vasicek , Tomas Vojnar

Sparse representation-based classifiers have shown outstanding accuracy and robustness in image classification tasks even with the presence of intense noise and occlusion. However, it has been discovered that the performance degrades…

Computer Vision and Pattern Recognition · Computer Science 2015-12-22 Xiaoxia Sun , Nasser M. Nasrabadi , Trac D. Tran

In this work, we formulate a novel framework for adversarial robustness using the manifold hypothesis. This framework provides sufficient conditions for defending against adversarial examples. We develop an adversarial purification method…

Machine Learning · Computer Science 2023-12-22 Zhaoyuan Yang , Zhiwei Xu , Jing Zhang , Richard Hartley , Peter Tu

Nonlinear adaptive filters often show some sparse behavior due to the fact that not all the coefficients are equally useful for the modeling of any nonlinearity. Recently, a class of proportionate algorithms has been proposed for nonlinear…

Signal Processing · Electrical Eng. & Systems 2022-12-16 Danilo Comminiello , Michele Scarpiniti , Simone Scardapane , Luis A. Azpicueta-Ruiz , Aurelio Uncini

We propose a unified framework to speed up the existing stochastic matrix factorization (SMF) algorithms via variance reduction. Our framework is general and it subsumes several well-known SMF formulations in the literature. We perform a…

Machine Learning · Statistics 2017-05-23 Renbo Zhao , William B. Haskell , Jiashi Feng

In fully dynamic graphs, we know how to maintain a 2-approximation of maximum matching extremely fast, that is, in polylogarithmic update time or better. In a sharp contrast and despite extensive studies, all known algorithms that maintain…

Data Structures and Algorithms · Computer Science 2019-11-06 Soheil Behnezhad , Jakub Łącki , Vahab Mirrokni

The fact that deep neural networks are susceptible to crafted perturbations severely impacts the use of deep learning in certain domains of application. Among many developed defense models against such attacks, adversarial training emerges…

Machine Learning · Computer Science 2020-07-13 Anh Bui , Trung Le , He Zhao , Paul Montague , Olivier deVel , Tamas Abraham , Dinh Phung

Finding a \emph{single} best solution is the most common objective in combinatorial optimization problems. However, such a single solution may not be applicable to real-world problems as objective functions and constraints are only…

Data Structures and Algorithms · Computer Science 2022-01-25 Tesshu Hanaka , Masashi Kiyomi , Yasuaki Kobayashi , Yusuke Kobayashi , Kazuhiro Kurita , Yota Otachi

We show a fully dynamic algorithm for maintaining $(1+\epsilon)$-approximate \emph{size} of maximum matching of the graph with $n$ vertices and $m$ edges using $m^{0.5-\Omega_{\epsilon}(1)}$ update time. This is the first polynomial…

Data Structures and Algorithms · Computer Science 2024-04-30 Sayan Bhattacharya , Peter Kiss , Thatchaphol Saranurak

Fast adversarial training (FAT) is beneficial for improving the adversarial robustness of neural networks. However, previous FAT work has encountered a significant issue known as catastrophic overfitting when dealing with large perturbation…

Machine Learning · Computer Science 2023-08-25 Mengnan Zhao , Lihe Zhang , Yuqiu Kong , Baocai Yin

The maximal matching problem has received considerable attention in the self-stabilizing community. Previous work has given different self-stabilizing algorithms that solves the problem for both the adversarial and fair distributed daemon,…

Data Structures and Algorithms · Computer Science 2016-08-14 Fredrik Manne , Morten Mjelde , Laurence Pilard , Sébastien Tixeuil

We present a new deterministic algorithm for the sparse Fourier transform problem, in which we seek to identify k << N significant Fourier coefficients from a signal of bandwidth N. Previous deterministic algorithms exhibit quadratic…

Numerical Analysis · Mathematics 2012-07-27 David Lawlor , Yang Wang , Andrew Christlieb

Accurate and robust trajectory prediction is essential for safe and efficient autonomous driving, yet recent work has shown that even state-of-the-art prediction models are highly vulnerable to inputs being mildly perturbed by adversarial…

Image classifiers often suffer from adversarial examples, which are generated by strategically adding a small amount of noise to input images to trick classifiers into misclassification. Over the years, many defense mechanisms have been…

Machine Learning · Computer Science 2020-01-22 Huangyi Ge , Sze Yiu Chau , Bruno Ribeiro , Ninghui Li

We study classes of Dynamic Programming (DP) algorithms which, due to their algebraic definitions, are closely related to coefficient extraction methods. DP algorithms can easily be modified to exploit sparseness in the DP table through…

Computational Complexity · Computer Science 2012-03-20 Petteri Kaski , Mikko Koivisto , Jesper Nederlof

We consider the problem of consistently matching multiple sets of elements to each other, which is a common task in fields such as computer vision. To solve the underlying NP-hard objective, existing methods often relax or approximate it,…

Machine Learning · Statistics 2019-07-19 Da Tang , Tony Jebara
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