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A distributed binary hypothesis testing problem, in which multiple observers transmit their observations to a detector over noisy channels, is studied. Given its own side information, the goal of the detector is to decide between two…

Information Theory · Computer Science 2017-04-06 Sreejith Sreekumar , Deniz Gündüz

In this study, I present a theoretical social learning model to investigate how confirmation bias affects opinions when agents exchange information over a social network. Hence, besides exchanging opinions with friends, agents observe a…

Theoretical Economics · Economics 2023-02-27 Marcos R. Fernandes

Interpreting the inference-time behavior of deep neural networks remains a challenging problem. Existing approaches to counterfactual explanation typically ask: What is the closest alternative input that would alter the model's prediction…

Machine Learning · Computer Science 2026-02-12 Brian Hyeongseok Kim , Jacqueline L. Mitchell , Chao Wang

We consider the decentralized binary hypothesis testing problem on trees of bounded degree and increasing depth. For a regular tree of depth t and branching factor k>=2, we assume that the leaves have access to independent and identically…

Multiagent Systems · Computer Science 2011-04-18 Yashodhan Kanoria , Andrea Montanari

To infer a diffusion network based on observations from historical diffusion processes, existing approaches assume that observation data contain exact occurrence time of each node infection, or at least the eventual infection statuses of…

Social and Information Networks · Computer Science 2023-12-14 Hao Huang , Qian Yan , Keqi Han , Ting Gan , Jiawei Jiang , Quanqing Xu , Chuanhui Yan

We study the binary hypothesis testing problem where an adversary may potentially corrupt a fraction of the samples. The detector is, however, permitted to abstain from making a decision if (and only if) the adversary is present. We…

Information Theory · Computer Science 2025-01-24 Malhar A. Managoli , K. R. Sahasranand , Vinod M. Prabhakaran

Two-sample hypothesis testing for network comparison presents many significant challenges, including: leveraging repeated network observations and known node registration, but without requiring them to operate; relaxing strong structural…

Methodology · Statistics 2024-02-05 Meijia Shao , Dong Xia , Yuan Zhang , Qiong Wu , Shuo Chen

We propose an information propagation model that captures important temporal aspects that have been well observed in the dynamics of fake news diffusion, in contrast with the diffusion of truth. The model accounts for differential…

Social and Information Networks · Computer Science 2022-06-24 Michael Simpson , Farnoosh Hashemi , Laks V. S. Lakshmanan

Feedforward neural networks (FNNs) can be viewed as non-linear regression models, where covariates enter the model through a combination of weighted summations and non-linear functions. Although these models have some similarities to the…

Methodology · Statistics 2024-05-02 Andrew McInerney , Kevin Burke

In this paper, we consider the federated learning (FL) problem in the presence of communication errors. We model the link between the devices and the central node (CN) by a packet erasure channel, where the local parameters from devices are…

Machine Learning · Computer Science 2022-04-13 Mahyar Shirvanimoghaddam , Ayoob Salari , Yifeng Gao , Aradhika Guha

A common assumption in the social learning literature is that agents exchange information in an unselfish manner. In this work, we consider the scenario where a subset of agents aims at deceiving the network, meaning they aim at driving the…

Systems and Control · Electrical Eng. & Systems 2021-03-30 Konstantinos Ntemos , Virginia Bordignon , Stefan Vlaski , Ali H. Sayed

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

This letter studies distributed opportunistic channel access in a wireless network with decode-and-forward relays. All the sources use channel contention to get transmission opportunity. If a source wins the contention, the channel state…

Information Theory · Computer Science 2015-02-24 Zhou Zhang , Shuai Zhou , Hai Jiang

Testing deep learning-based systems is crucial but challenging due to the required time and labor for labeling collected raw data. To alleviate the labeling effort, multiple test selection methods have been proposed where only a subset of…

Machine Learning · Computer Science 2023-08-03 Qiang Hu , Yuejun Guo , Xiaofei Xie , Maxime Cordy , Wei Ma , Mike Papadakis , Yves Le Traon

We study the Chernoff-Stein exponent of the following binary hypothesis testing problem: Associated with each hypothesis is a set of channels. A transmitter, without knowledge of the hypothesis, chooses the vector of inputs to the channel.…

Information Theory · Computer Science 2025-06-19 Eeshan Modak , Neha Sangwan , Mayank Bakshi , Bikash Kumar Dey , Vinod M. Prabhakaran

We prove a fundamental impossibility theorem: neural networks cannot simultaneously learn well-calibrated confidence estimates with meaningful diversity when trained using binary correct/incorrect supervision. Through rigorous mathematical…

Machine Learning · Computer Science 2025-09-19 Arjun S. Nair , Kristina P. Sinaga

When a network is reconstructed from data, two types of errors can occur: false positive and false negative errors about the presence or absence of links. In this paper, the vertex degree distribution of the true underlying network is…

Data Analysis, Statistics and Probability · Physics 2020-04-30 Gloria Cecchini , Bjoern Schelter

Recurrent neural network architectures can have useful computational properties, with complex temporal dynamics and input-sensitive attractor states. However, evaluation of recurrent dynamic architectures requires solution of systems of…

Neural and Evolutionary Computing · Computer Science 2019-11-18 Dylan Richard Muir

We address the problem of reliable data transmission within a finite time horizon $T$ over a binary erasure channel with unknown erasure probability. We consider a feedback model wherein the transmitter can query the receiver infrequently…

Information Theory · Computer Science 2026-05-11 Haricharan Balasundaram , Krishna Jagannathan

Many studies that gather social network data use survey methods that lead to censored, missing or otherwise incomplete information. For example, the popular fixed rank nomination (FRN) scheme, often used in studies of schools and…

Methodology · Statistics 2012-12-27 Peter Hoff , Bailey Fosdick , Alex Volfovsky , Katherine Stovel