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We introduce a new computational model for data streams: asymptotically exact streaming algorithms. These algorithms have an approximation ratio that tends to one as the length of the stream goes to infinity while the memory used by the…

Data Structures and Algorithms · Computer Science 2014-08-11 Marc Heinrich , Alexander Munteanu , Christian Sohler

In this paper, we study oracle-efficient algorithms for beyond worst-case analysis of online learning. We focus on two settings. First, the smoothed analysis setting of [RST11,HRS22] where an adversary is constrained to generating samples…

Machine Learning · Computer Science 2022-11-23 Nika Haghtalab , Yanjun Han , Abhishek Shetty , Kunhe Yang

Many real-world applications pose challenges in incorporating fairness constraints into the $k$-center clustering problem, where the dataset consists of $m$ demographic groups, each with a specified upper bound on the number of centers to…

Data Structures and Algorithms · Computer Science 2026-01-19 Longkun Guo , Zeyu Lin , Chaoqi Jia , Chao Chen

Adversarial examples are important for understanding the behavior of neural models, and can improve their robustness through adversarial training. Recent work in natural language processing generated adversarial examples by assuming…

Machine Learning · Computer Science 2019-04-05 Yotam Gil , Yoav Chai , Or Gorodissky , Jonathan Berant

We consider the problem of reconstructing a rank-one matrix from a revealed subset of its entries when some of the revealed entries are corrupted with perturbations that are unknown and can be arbitrarily large. It is not known which…

Machine Learning · Computer Science 2020-10-26 Qianqian Ma , Alex Olshevsky

Adversarial attacks have been extensively studied in recent years since they can identify the vulnerability of deep learning models before deployed. In this paper, we consider the black-box adversarial setting, where the adversary needs to…

Machine Learning · Computer Science 2022-03-15 Yinpeng Dong , Shuyu Cheng , Tianyu Pang , Hang Su , Jun Zhu

Algorithmic recourse aims to disclose the inner workings of the black-box decision process in situations where decisions have significant consequences, by providing recommendations to empower beneficiaries to achieve a more favorable…

Machine Learning · Computer Science 2023-02-14 Ahmad-Reza Ehyaei , Amir-Hossein Karimi , Bernhard Schölkopf , Setareh Maghsudi

We present a new method for score-based adversarial attack, where the attacker queries the loss-oracle of the target model. Our method employs a parameterized search space with a structure that captures the relationship of the gradient of…

Machine Learning · Computer Science 2020-10-06 Zhichao Huang , Yaowei Huang , Tong Zhang

Consider a spectrally sparse signal $\boldsymbol{x}$ that consists of $r$ complex sinusoids with or without damping. We study the robust recovery problem for the spectrally sparse signal under the fully observed setting, which is about…

Information Theory · Computer Science 2021-02-05 HanQin Cai , Jian-Feng Cai , Tianming Wang , Guojian Yin

Online sparse linear regression is an online problem where an algorithm repeatedly chooses a subset of coordinates to observe in an adversarially chosen feature vector, makes a real-valued prediction, receives the true label, and incurs the…

Machine Learning · Computer Science 2020-07-27 Satyen Kale , Zohar Karnin , Tengyuan Liang , Dávid Pál

A recent line of work on black-box adversarial attacks has revived the use of transfer from surrogate models by integrating it into query-based search. However, we find that existing approaches of this type underperform their potential, and…

Machine Learning · Computer Science 2022-03-17 Nicholas A. Lord , Romain Mueller , Luca Bertinetto

We revisit the concept of "adversary" in online learning, motivated by solving robust optimization and adversarial training using online learning methods. While one of the classical setups in online learning deals with the "adversarial"…

Machine Learning · Computer Science 2021-01-28 Sebastian Pokutta , Huan Xu

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

Maximum Inner Product Search or top-k retrieval on sparse vectors is well-understood in information retrieval, with a number of mature algorithms that solve it exactly. However, all existing algorithms are tailored to text and…

Information Retrieval · Computer Science 2023-07-19 Sebastian Bruch , Franco Maria Nardini , Amir Ingber , Edo Liberty

We consider the problem of signal reconstruction for a system under sparse signal corruption by a malicious agent. The reconstruction problem follows the standard error coding problem that has been studied extensively in the literature. We…

Optimization and Control · Mathematics 2023-04-28 Yu Zheng , Olugbenga Moses Anubi , Lalit Mestha , Hema Achanta

In this paper, we study streaming algorithms that minimize the number of changes made to their internal state (i.e., memory contents). While the design of streaming algorithms typically focuses on minimizing space and update time, these…

Data Structures and Algorithms · Computer Science 2024-06-12 Rajesh Jayaram , David P. Woodruff , Samson Zhou

Despite remarkable achievements in deep learning across various domains, its inherent vulnerability to adversarial examples still remains a critical concern for practical deployment. Adversarial training has emerged as one of the most…

Machine Learning · Computer Science 2024-11-06 Junhao Dong , Xinghua Qu , Z. Jane Wang , Yew-Soon Ong

Adversarially robust learning aims to design algorithms that are robust to small adversarial perturbations on input variables. Beyond the existing studies on the predictive performance to adversarial samples, our goal is to understand…

Machine Learning · Statistics 2020-12-21 Yue Xing , Ruizhi Zhang , Guang Cheng

The rapid advancement of artificial intelligence within the realm of cybersecurity raises significant security concerns. The vulnerability of deep learning models in adversarial attacks is one of the major issues. In adversarial machine…

Cryptography and Security · Computer Science 2024-04-18 Khushnaseeb Roshan , Aasim Zafar

We present prior robust algorithms for a large class of resource allocation problems where requests arrive one-by-one (online), drawn independently from an unknown distribution at every step. We design a single algorithm that, for every…

Data Structures and Algorithms · Computer Science 2019-03-12 Nikhil R. Devanur , Kamal Jain , Balasubramanian Sivan , Christopher A. Wilkens