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There is a great need for improved statistical sampling in a range of physical, chemical and biological systems. Even simulations based on correct algorithms suffer from statistical error, which can be substantial or even dominant when slow…

Computational Physics · Physics 2007-11-09 F. Marty Ytreberg , Daniel M. Zuckerman

In this paper, we consider the streaming memory-limited matrix completion problem when the observed entries are noisy versions of a small random fraction of the original entries. We are interested in scenarios where the matrix size is very…

Spectral Theory · Mathematics 2015-04-14 Se-Young Yun , Marc Lelarge , Alexandre Proutiere

We present a streaming problem for which every adversarially-robust streaming algorithm must use polynomial space, while there exists a classical (oblivious) streaming algorithm that uses only polylogarithmic space. This is the first…

Data Structures and Algorithms · Computer Science 2021-02-18 Haim Kaplan , Yishay Mansour , Kobbi Nissim , Uri Stemmer

We present a new algorithm for finding a near optimal low-rank approximation of a matrix $A$ in $O(nnz(A))$ time. Our method is based on a recursive sampling scheme for computing a representative subset of $A$'s columns, which is then used…

Data Structures and Algorithms · Computer Science 2016-10-10 Michael B. Cohen , Cameron Musco , Christopher Musco

Deep learning-based discriminative classifiers, despite their remarkable success, remain vulnerable to adversarial examples that can mislead model predictions. While adversarial training can enhance robustness, it fails to address the…

Computer Vision and Pattern Recognition · Computer Science 2025-12-09 Chunheng Zhao , Pierluigi Pisu , Gurcan Comert , Negash Begashaw , Varghese Vaidyan , Nina Christine Hubig

We study high-dimensional robust statistics tasks in the streaming model. A recent line of work obtained computationally efficient algorithms for a range of high-dimensional robust estimation tasks. Unfortunately, all previous algorithms…

Data Structures and Algorithms · Computer Science 2023-05-04 Ilias Diakonikolas , Daniel M. Kane , Ankit Pensia , Thanasis Pittas

As machine learning black boxes are increasingly being deployed in real-world applications, there has been a growing interest in developing post hoc explanations that summarize the behaviors of these black boxes. However, existing…

Machine Learning · Computer Science 2020-11-13 Himabindu Lakkaraju , Nino Arsov , Osbert Bastani

We consider adversarial examples for image classification in the black-box decision-based setting. Here, an attacker cannot access confidence scores, but only the final label. Most attacks for this scenario are either unreliable or…

Machine Learning · Statistics 2021-04-30 Thomas Brunner , Frederik Diehl , Michael Truong Le , Alois Knoll

Deep neural networks, although shown to be a successful class of machine learning algorithms, are known to be extremely unstable to adversarial perturbations. Improving the robustness of neural networks against these attacks is important,…

Computer Vision and Pattern Recognition · Computer Science 2019-04-29 Seyed-Mohsen Moosavi-Dezfooli , Ashish Shrivastava , Oncel Tuzel

While deep convolutional neural networks (CNNs) are vulnerable to adversarial attacks, considerably few efforts have been paid to construct robust deep tracking algorithms against adversarial attacks. Current studies on adversarial attack…

Computer Vision and Pattern Recognition · Computer Science 2020-07-30 Shuai Jia , Chao Ma , Yibing Song , Xiaokang Yang

Adversarial attacks pose significant challenges for detecting adversarial attacks at an early stage. We propose attack-agnostic detection on reinforcement learning-based interactive recommendation systems. We first craft adversarial…

Machine Learning · Computer Science 2020-06-16 Yuanjiang Cao , Xiaocong Chen , Lina Yao , Xianzhi Wang , Wei Emma Zhang

Numerous methods for crafting adversarial examples were proposed recently with high success rate. Since most existing machine learning based classifiers normalize images into some continuous, real vector, domain firstly, attacks often craft…

Machine Learning · Computer Science 2020-04-28 Lei Bu , Yuchao Duan , Fu Song , Zhe Zhao

A central problem in data streams is to characterize which functions of an underlying frequency vector can be approximated efficiently. Recently there has been considerable effort in extending this problem to that of estimating functions of…

Data Structures and Algorithms · Computer Science 2018-10-25 Vladimir Braverman , Stephen R. Chestnut , Robert Krauthgamer , Yi Li , David P. Woodruff , Lin F. Yang

This paper introduces a scheme for data stream processing which is robust to batch duration. Streaming frameworks process streams in batches retrieved at fixed time intervals. In a common setting a pattern recognition algorithm is applied…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-02-20 David Tolpin

This paper describes a new algorithm for computing a low-Tucker-rank approximation of a tensor. The method applies a randomized linear map to the tensor to obtain a sketch that captures the important directions within each mode, as well as…

Numerical Analysis · Mathematics 2021-05-04 Yiming Sun , Yang Guo , Charlene Luo , Joel Tropp , Madeleine Udell

Deep neural networks have been proved that they are vulnerable to adversarial examples, which are generated by adding human-imperceptible perturbations to images. To defend these adversarial examples, various detection based methods have…

Computer Vision and Pattern Recognition · Computer Science 2021-02-24 Kejiang Chen , Yuefeng Chen , Hang Zhou , Chuan Qin , Xiaofeng Mao , Weiming Zhang , Nenghai Yu

We provide the first streaming algorithm for computing a provable approximation to the $k$-means of sparse Big data. Here, sparse Big Data is a set of $n$ vectors in $\mathbb{R}^d$, where each vector has $O(1)$ non-zeroes entries, and…

Data Structures and Algorithms · Computer Science 2016-02-09 Artem Barger , Dan Feldman

Optimization algorithms appear in the core calculations of numerous Artificial Intelligence (AI) and Machine Learning methods, as well as Engineering and Business applications. Following recent works on the theoretical deficiencies of AI, a…

Optimization and Control · Mathematics 2024-10-29 Nikolaos P. Bakas , Vagelis Plevris , Andreas Langousis , Savvas A. Chatzichristofis

We consider the problem of approximating a maximum weighted matching, when the edges of an underlying weighted graph $G(V,E)$ are revealed in a streaming fashion. We analyze a variant of the previously best-known…

Data Structures and Algorithms · Computer Science 2018-05-01 Elena Grigorescu , Morteza Monemizadeh , Samson Zhou

This paper introduces a novel approach, evolutionary multi-objective optimisation for fairness-aware self-adjusting memory classifiers, designed to enhance fairness in machine learning algorithms applied to data stream classification. With…

Artificial Intelligence · Computer Science 2024-04-19 Pivithuru Thejan Amarasinghe , Diem Pham , Binh Tran , Su Nguyen , Yuan Sun , Damminda Alahakoon
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