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A well-known conjecture, often attributed to Ryser, states that the cover number of an $r$-partite $r$-uniform hypergraph is at most $r - 1$ times larger than its matching number. Despite considerable effort, particularly in the…

Combinatorics · Mathematics 2020-11-30 Anurag Bishnoi , Shagnik Das , Patrick Morris , Tibor Szabó

We consider the following detection problem: given a realization of a symmetric matrix ${\mathbf{X}}$ of dimension $n$, distinguish between the hypothesis that all upper triangular variables are i.i.d. Gaussians variables with mean 0 and…

Statistics Theory · Mathematics 2014-11-25 Andrea Montanari , Daniel Reichman , Ofer Zeitouni

Assume that a graph $G$ models a detection system for a facility with a possible ``intruder," or a multiprocessor network with a possible malfunctioning processor. We consider the problem of placing detectors at a subset of vertices in $G$…

Combinatorics · Mathematics 2022-08-15 Devin Jean , Suk Seo

With the emergence of graph databases, the task of frequent subgraph discovery has been extensively addressed. Although the proposed approaches in the literature have made this task feasible, the number of discovered frequent subgraphs is…

Databases · Computer Science 2013-08-16 Wajdi Dhifli , Mohamed Moussaoui , Rabie Saidi , Engelbert Mephu Nguifo

There exist multiple methods to detect outliers in multivariate data in the literature, but most of them require to estimate the covariance matrix. The higher the dimension, the more complex the estimation of the matrix becoming impossible…

Methodology · Statistics 2020-12-01 P. Navarro-Esteban , J. A. Cuesta-Albertos

We study the problem of robust estimation under heterogeneous corruption rates, where each sample may be independently corrupted with a known but non-identical probability. This setting arises naturally in distributed and federated…

Machine Learning · Computer Science 2025-10-02 Syomantak Chaudhuri , Jerry Li , Thomas A. Courtade

We address the problem of data-driven image manipulation detection in the presence of an attacker with limited knowledge about the detector. Specifically, we assume that the attacker knows the architecture of the detector, the training data…

Cryptography and Security · Computer Science 2019-02-19 Zhipeng Chen , Benedetta Tondi , Xiaolong Li , Rongrong Ni , Yao Zhao , Mauro Barni

We consider the question of Gaussian mean testing, a fundamental task in high-dimensional distribution testing and signal processing, subject to adversarial corruptions of the samples. We focus on the relative power of different…

Data Structures and Algorithms · Computer Science 2023-07-21 Clément L. Canonne , Samuel B. Hopkins , Jerry Li , Allen Liu , Shyam Narayanan

Often the challenge associated with tasks like fraud and spam detection[1] is the lack of all likely patterns needed to train suitable supervised learning models. In order to overcome this limitation, such tasks are attempted as outlier or…

Machine Learning · Computer Science 2018-08-22 Utkarsh Porwal , Smruthi Mukund

Given a heterogeneous Gaussian sequence model with unknown mean $\theta \in \mathbb R^d$ and known covariance matrix $\Sigma = \operatorname{diag}(\sigma_1^2,\dots, \sigma_d^2)$, we study the signal detection problem against sparse…

Statistics Theory · Mathematics 2023-08-03 Julien Chhor , Rajarshi Mukherjee , Subhabrata Sen

In fault-tolerant distance labeling we wish to assign short labels to the vertices of a graph $G$ such that from the labels of any three vertices $u,v,f$ we can infer the $u$-to-$v$ distance in the graph $G\setminus \{f\}$. We show that any…

Data Structures and Algorithms · Computer Science 2021-02-16 Aviv Bar-Natan , Panagiotis Charalampopoulos , Paweł Gawrychowski , Shay Mozes , Oren Weimann

Many approaches focus on detecting dense blocks in the tensor of multimodal data to prevent fraudulent entities (e.g., accounts, links) from retweet boosting, hashtag hijacking, link advertising, etc. However, no existing method is…

Data Structures and Algorithms · Computer Science 2019-02-26 Yikun Ban , Xin Liu , Yitao Duan , Xue Liu , Wei Xu

We study the problem of high-dimensional linear regression in a robust model where an $\epsilon$-fraction of the samples can be adversarially corrupted. We focus on the fundamental setting where the covariates of the uncorrupted samples are…

Machine Learning · Computer Science 2018-06-04 Ilias Diakonikolas , Weihao Kong , Alistair Stewart

This paper investigates a novel offline change-point detection problem from an information-theoretic perspective. In contrast to most related works, we assume that the knowledge of the underlying pre- and post-change distributions are not…

Information Theory · Computer Science 2021-10-05 Haiyun He , Qiaosheng Zhang , Vincent Y. F. Tan

Generative models can synthesize highly realistic content, so-called deepfakes, that are already being misused at scale to undermine digital media authenticity. Current deepfake detection methods are unreliable for two reasons: (i)…

Computer Vision and Pattern Recognition · Computer Science 2025-12-18 Sarim Hashmi , Abdelrahman Elsayed , Mohammed Talha Alam , Samuele Poppi , Nils Lukas

Guaranteeing the security of transactional systems is a crucial priority of all institutions that process transactions, in order to protect their businesses against cyberattacks and fraudulent attempts. Adversarial attacks are novel…

Cryptography and Security · Computer Science 2021-01-21 Francesco Cartella , Orlando Anunciacao , Yuki Funabiki , Daisuke Yamaguchi , Toru Akishita , Olivier Elshocht

A very simple Gaussian model is used to illustrate a new fitting result: a linear growth of the resolution with the number N of detecting layers. This rule is well beyond the well-known rule proportional to $\sqrt{N}$ for the resolution of…

Instrumentation and Detectors · Physics 2019-04-30 Gregorio Landi , Giovanni E. Landi

In the real world, experimental data are rarely, if ever, distributed as a normal (Gaussian) distribution. As an example, a large set of data--such as the cross sections for particle scattering as a function of energy contained in the…

Data Analysis, Statistics and Probability · Physics 2009-11-11 Martin M. Block

We study the problem of reconstructing tabular data from aggregate statistics, in which the attacker aims to identify interesting claims about the sensitive data that can be verified with 100% certainty given the aggregates. Successful…

Machine Learning · Statistics 2025-06-12 Terrance Liu , Eileen Xiao , Adam Smith , Pratiksha Thaker , Zhiwei Steven Wu

The Big Data era features a huge amount of data that are contributed by numerous sources and used by many critical data-driven applications. Due to the varying reliability of sources, it is common to see conflicts among the multi-source…

Databases · Computer Science 2017-08-08 Xiu Susie Fang , Quan Z. Sheng , Xianzhi Wang , Anne H. H. Ngu
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