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We study Probabilistic Group Testing of a set of N items each of which is defective with probability p. We focus on the double limit of small defect probability, p<<1, and large number of variables, N>>1, taking either p->0 after…

Data Structures and Algorithms · Computer Science 2007-11-14 Marc Mezard , Cristina Toninelli

We propose an improvement of the random spreading approach with polar codes for unsourced multiple access. Each user encodes its message by a polar code, and the coded bits are then spread using a random spreading sequence. The proposed…

Information Theory · Computer Science 2021-08-30 Mohammad Javad Ahmadi , Tolga M. Duman

Requirements driven search-based testing (also known as falsification) has proven to be a practical and effective method for discovering erroneous behaviors in Cyber-Physical Systems. Despite the constant improvements on the performance and…

We consider the problem of stragglers in distributed computing systems. Stragglers, which are compute nodes that unpredictably slow down, often increase the completion times of tasks. One common approach to mitigating stragglers is work…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-11-07 Tharindu Adikari , Haider Al-Lawati , Jason Lam , Zhenhua Hu , Stark C. Draper

This paper considers an $N$-server distributed computing setting with $K$ users requesting functions that are arbitrary multivariable polynomial evaluations of $L$ real (potentially non-linear) basis subfunctions, where each function output…

Information Theory · Computer Science 2026-05-01 Ali Khalesi , Ahmad Tanha , Derya Malak , Petros Elia

In this work, we study non-parametric hypothesis testing problem with distribution function constraints. The empirical likelihood ratio test has been widely used in testing problems with moment (in)equality constraints. However, some…

Statistics Theory · Mathematics 2016-05-03 Yingxi Liu , Ahmed Tewfik

We consider the setting of a master server who possesses confidential data (genomic, medical data, etc.) and wants to run intensive computations on it, as part of a machine learning algorithm for example. The master wants to distribute…

Information Theory · Computer Science 2026-01-01 Rawad Bitar , Parimal Parag , Salim El Rouayheb

Offensive security-tests are a common way to pro-actively discover potential vulnerabilities. They are performed by specialists, often called penetration-testers or white-hat hackers. The chronic lack of available white-hat hackers prevents…

Software Engineering · Computer Science 2023-08-24 Andreas Happe , Jürgen Cito

In the context of fault-detection problems, the objective is to identify all defective items among a set of $n$ binary-state items using the minimum number of tests. The {group testing} paradigm, which allows testing a subset of items in a…

Combinatorics · Mathematics 2025-11-18 Jun Wu , Yongxi Cheng , Zhen Yang , Feng Chu , Junkai He

We theoretically analyze the problem of testing for $p$-hacking based on distributions of $p$-values across multiple studies. We provide general results for when such distributions have testable restrictions (are non-increasing) under the…

Econometrics · Economics 2022-05-13 Graham Elliott , Nikolay Kudrin , Kaspar Wuthrich

With the dissemination of affordable parallel and distributed hardware, parallel and distributed constraint solving has lately been the focus of some attention. To effectually apply the power of distributed computational systems, there must…

Programming Languages · Computer Science 2010-09-21 Vasco Pedro , Salvador Abreu

Distributed protocols such as Paxos play an important role in many computer systems. Therefore, a bug in a distributed protocol may have tremendous effects. Accordingly, a lot of effort has been invested in verifying such protocols.…

Programming Languages · Computer Science 2017-10-20 Oded Padon , Giuliano Losa , Mooly Sagiv , Sharon Shoham

A two-terminal distributed binary hypothesis testing problem over a noisy channel is studied. The two terminals, called the observer and the decision maker, each has access to $n$ independent and identically distributed samples, denoted by…

Other Statistics · Statistics 2023-02-07 Sreejith Sreekumar , Deniz Gündüz

Estimating how uncertain an AI system is in its predictions is important to improve the safety of such systems. Uncertainty in predictive can result from uncertainty in model parameters, irreducible data uncertainty and uncertainty due to…

Machine Learning · Statistics 2018-12-03 Andrey Malinin , Mark Gales

Distributed linearly separable computation is a fundamental problem in large-scale distributed systems, requiring the computation of linearly separable functions over different datasets across distributed workers. This paper studies a…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-16 Ziting Zhang , Kai Wan , Minquan Cheng , Shuo Shao , Giuseppe Caire

Gradient descent algorithms are widely used in machine learning. In order to deal with huge volume of data, we consider the implementation of gradient descent algorithms in a distributed computing setting where multiple workers compute the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-01-29 Haozhao Wang , Song Guo , Bin Tang , Ruixuan Li , Chengjie Li

Proof-of-work (PoW) is an algorithmic tool used to secure networks by imposing a computational cost on participating devices. Unfortunately, traditional PoW schemes require that correct devices perform computational work perpetually, even…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-02-20 Diksha Gupta , Jared Saia , Maxwell Young

A hypothesis testing algorithm is replicable if, when run on two different samples from the same distribution, it produces the same output with high probability. This notion, defined by by Impagliazzo, Lei, Pitassi, and Sorell [STOC'22],…

Data Structures and Algorithms · Computer Science 2025-09-05 Anders Aamand , Maryam Aliakbarpour , Justin Y. Chen , Shyam Narayanan , Sandeep Silwal

The distributed matrix multiplication problem with an unknown number of stragglers is considered, where the goal is to efficiently and flexibly obtain the product of two massive matrices by distributing the computation across N servers.…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-23 Weiqi Li , Zhen Chen , Zhiying Wang , Syed A. Jafar , Hamid Jafarkhani

The work considers the $N$-server distributed computing scenario with $K$ users requesting functions that are linearly-decomposable over an arbitrary basis of $L$ real (potentially non-linear) subfunctions. In our problem, the aim is for…

Information Theory · Computer Science 2024-04-23 Ali Khalesi , Petros Elia