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We study a hypothesis testing problem in which data is compressed distributively and sent to a detector that seeks to decide between two possible distributions for the data. The aim is to characterize all achievable encoding rates and…

Information Theory · Computer Science 2011-02-01 Md. Saifur Rahman , Aaron B. Wagner

Blockchain technology offers a decentralized and secure method for storing and authenticating data, rendering it well-suited for various applications such as digital currencies, supply chain management, and voting systems. However, the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-25 Mohammad R. Shakournia , Pooya Jamshidi , Hamid Reza Faragardi , Nasser Yazdani

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

The problem of robust binary hypothesis testing is studied. Under both hypotheses, the data-generating distributions are assumed to belong to uncertainty sets constructed through moments; in particular, the sets contain distributions whose…

Statistics Theory · Mathematics 2024-01-09 Akshayaa Magesh , Zhongchang Sun , Venugopal V. Veeravalli , Shaofeng Zou

We study the problem of mismatched binary hypothesis testing between i.i.d. distributions. We analyze the tradeoff between the pairwise error probability exponents when the actual distributions generating the observation are different from…

Information Theory · Computer Science 2022-04-28 Parham Boroumand , Albert Guillén i Fàbregas

We study finite-sample inference for the trade-off function of two unknown probability distributions, the function that traces the optimal type I/type II error frontier in binary testing. Given samples from distributions $P$ and $Q$, we…

Statistics Theory · Mathematics 2026-05-12 Kaining Shi , Qiaosen Wang , Cong Ma

The ordered transmission (OT) scheme reduces the number of transmissions needed in the network to make the final decision, while it maintains the same probability of error as the system without using OT scheme. In this paper, we investigate…

Signal Processing · Electrical Eng. & Systems 2022-01-24 Chen Quan , Saikiran Bulusu , Baocheng Geng , Pramod K. Varshney

We formulate a passive quantum detector based on a quantum hypothesis testing framework under the setting of finite sample size. In particular, we exploit the fundamental limits of performance of the passive quantum detector asymptotically.…

Quantum Physics · Physics 2022-12-06 Yinan Hu , Quanyan Zhu

Strong replica consistency is often achieved by writing deterministic applications, or by using a variety of mechanisms to render replicas deterministic. There exists a large body of work on how to render replicas deterministic under the…

Distributed, Parallel, and Cluster Computing · Computer Science 2008-03-12 Wenbing Zhao

Consider a linear time-invariant (LTI) dynamical system monitored by a network of sensors, modeled as nodes of an underlying directed communication graph. We study the problem of collaboratively estimating the state of the system when…

Systems and Control · Computer Science 2018-10-09 Aritra Mitra , Shreyas Sundaram

Consider the problem where a statistician in a two-node system receives rate-limited information from a transmitter about marginal observations of a memoryless process generated from two possible distributions. Using its own observations,…

Information Theory · Computer Science 2017-03-02 Gil Katz , Pablo Piantanida , Mérouane Debbah

In large-scale networks, communication links between nodes are easily injected with false data by adversaries. This paper proposes a novel security defense strategy from the perspective of attack detection scheduling to ensure the security…

Systems and Control · Electrical Eng. & Systems 2023-12-19 Yuhan Suo , Senchun Chai , Runqi Chai , Zhong-Hua Pang , Yuanqing Xia , Guo-Ping Liu

We consider the problem of decentralized hypothesis testing under communication constraints in a topology where several peripheral nodes are arranged in tandem. Each node receives an observation and transmits a message to its successor, and…

Information Theory · Computer Science 2015-06-19 Alla Tarighati , Joakim Jalden

We study the adversarial binary hypothesis testing problem in the sequential setting. Associated with each hypothesis is a closed, convex set of distributions. Given the hypothesis, each observation is generated according to a distribution…

Information Theory · Computer Science 2025-11-14 Eeshan Modak , Mayank Bakshi , Bikash Kumar Dey , Vinod M. Prabhakaran

Motivated by the need to secure cyber-physical systems against attacks, we consider the problem of estimating the state of a noisy linear dynamical system when a subset of sensors is arbitrarily corrupted by an adversary. We propose a…

Optimization and Control · Mathematics 2015-04-24 Shaunak Mishra , Yasser Shoukry , Nikhil Karamchandani , Suhas Diggavi , Paulo Tabuada

We suggest a type of attack on quantum cryptosystems that exploits variations in detector efficiency as a function of a control parameter accessible to an eavesdropper. With gated single-photon detectors, this control parameter can be the…

Quantum Physics · Physics 2007-05-23 Vadim Makarov , Andrey Anisimov , Johannes Skaar

Binary classification is a task that involves the classification of data into one of two distinct classes. It is widely utilized in various fields. However, conventional classifiers tend to make overconfident predictions for data that…

Machine Learning · Computer Science 2025-03-13 Shoma Yokura , Akihisa Ichiki

Robust distributed learning algorithms aim to maintain reliable performance despite the presence of misbehaving workers. Such misbehaviors are commonly modeled as Byzantine failures, allowing arbitrarily corrupted communication, or as data…

Machine Learning · Computer Science 2025-10-17 Thomas Boudou , Batiste Le Bars , Nirupam Gupta , Aurélien Bellet

Binary classification is a fundamental task in machine learning, with applications spanning various scientific domains. Whether scientists are conducting fundamental research or refining practical applications, they typically assess and…

Machine Learning · Computer Science 2023-10-20 Attila Fazekas , György Kovács

A distributed binary hypothesis testing (HT) problem involving two parties, one referred to as the observer and the other as the detector is studied. The observer observes a discrete memoryless source (DMS) and communicates its observations…

Information Theory · Computer Science 2019-12-04 Sreejith Sreekumar , Deniz Gündüz