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We consider the problem of testing independence in mixed-type data that combine count variables with positive, absolutely continuous variables. We first introduce two distinct classes of test statistics in the bivariate setting, designed to…

统计方法学 · 统计学 2025-07-29 Dana Bucalo Jelić , Marija Cuparić , Bojana Milošević

This paper studies distributed binary test of statistical independence under communication (information bits) constraints. While testing independence is very relevant in various applications, distributed independence test is particularly…

统计理论 · 数学 2021-11-29 Sebastian Espinosa , Jorge F. Silva , Pablo Piantanida

In this paper, we address the problem of testing independence between two high-dimensional random vectors. Our approach involves a series of max-sum tests based on three well-known classes of rank-based correlations. These correlation…

统计方法学 · 统计学 2024-04-04 Hongfei Wang , Binghui Liu , Long Feng

This paper investigates the fundamental performance limits of the two-user interference channel in the presence of an external eavesdropper. In this setting, we construct an inner bound, to the secrecy capacity region, based on the idea of…

信息论 · 计算机科学 2015-03-13 O. Ozan Koyluoglu , Hesham El Gamal

We aim to separate the generative factors of data into two latent vectors in a variational autoencoder. One vector captures class factors relevant to target classification tasks, while the other vector captures style factors relevant to the…

机器学习 · 计算机科学 2020-03-17 Bo-Kyeong Kim , Sungjin Park , Geonmin Kim , Soo-Young Lee

Text watermarking plays a crucial role in ensuring the traceability and accountability of large language model (LLM) outputs and mitigating misuse. While promising, most existing methods assume perfect pseudorandomness. In practice,…

统计理论 · 数学 2026-01-21 T. Tony Cai , Xiang Li , Qi Long , Weijie J. Su , Garrett G. Wen

Given a finite alphabet $A$ and a binary relation $\tau\subseteq A^*\times A^*$, a set $X$ is $\tau$-{\it independent} if $ \tau(X)\cap X=\emptyset$. Given a quasi-metric $d$ over $A^*$ (in the meaning of \cite{W31}) and $k\ge 1$, we…

信息论 · 计算机科学 2022-10-07 Jean Néraud

We investigate the problem of jointly testing two hypotheses and estimating a random parameter based on data that is observed sequentially by sensors in a distributed network. In particular, we assume the data to be drawn from a Gaussian…

信号处理 · 电气工程与系统科学 2020-03-04 Dominik Reinhard , Michael Fauß , Abdelhak M. Zoubir

In this paper, we propose a novel Euclidean-distance-based coefficient, named differential distance correlation, to measure the strength of dependence between a random variable $ Y \in \mathbb{R} $ and a random vector $ \boldsymbol{X} \in…

统计方法学 · 统计学 2025-12-16 Yixiao Liu , Pengjian Shang

Motivated by the problem of tracking a direction in a decentralized way, we consider the general problem of cooperative learning in multi-agent systems with time-varying connectivity and intermittent measurements. We propose a distributed…

最优化与控制 · 数学 2014-12-17 Naomi Ehrich Leonard , Alex Olshevsky

This paper focuses on a networked state estimation problem for a spatially large linear system with a distributed array of sensors, each of which offers partial state measurements, and the transmission is lossy. We propose a measurement…

系统与控制 · 计算机科学 2019-05-29 Tianju Sui , Damian Marelli , Ximing Sun , Minyue Fu

We consider the problem of collaborative distributed estimation in a large scale sensor network with statistically dependent sensor observations. In collaborative setup, the aim is to maximize the overall estimation performance by modeling…

信号处理 · 电气工程与系统科学 2022-03-21 Shan Zhang , Pranay Sharma , Baocheng Geng , Pramod K. Varshney

We study a class of binary detection problems involving a single fusion center and a large or countably infinite number of sensors. Each sensor acts under a decentralized information structure, accessing only a local noisy observation…

最优化与控制 · 数学 2025-09-29 Sina Sanjari , Naci Saldi , Sinan Gezici , Serdar Yüksel

Estimating the proportion of signals hidden in a large amount of noise variables is of interest in many scientific inquires. In this paper, we consider realistic but theoretically challenging settings with arbitrary covariance dependence…

统计方法学 · 统计学 2021-04-12 X. Jessie Jeng

This paper studies channel coding for the discrete memoryless multiple-access channel with a given (possibly suboptimal) decoding rule. A multi-letter successive decoding rule depending on an arbitrary non-negative decoding metric is…

信息论 · 计算机科学 2017-12-08 Jonathan Scarlett , Alfonso Martinez , Albert Guillén i Fàbregas

Distance correlation is a measure of dependence between two paired random vectors or matrices of arbitrary, not necessarily equal, dimensions. Unlike Pearson correlation, the population distance correlation coefficient is zero if and only…

统计方法学 · 统计学 2025-06-19 Kontemeniotis Nikolaos , Vargiakakis Rafail , Tsagris Michail

We study an incremental redundancy (IR) cooperative coding scheme for wireless networks. To exploit the spatial diversity benefit we propose a cluster-based collaborating strategy for a quasi-static Rayleigh fading channel model and based…

信息论 · 计算机科学 2007-07-13 Ruoheng Liu , Predrag Spasojevic , Emina Soljanin

We study a class of $K$-encoder hypothesis testing against conditional independence problems. Under the criterion that stipulates minimization of the Type II error subject to a (constant) upper bound $\epsilon$ on the Type I error, we…

信息论 · 计算机科学 2022-07-05 Abdellatif Zaidi

Simple correlation coefficients between two variables have been generalized to measure association between two matrices in many ways. Coefficients such as the RV coefficient, the distance covariance (dCov) coefficient and kernel based…

统计方法学 · 统计学 2014-08-19 Julie Josse , Susan Holmes

Single fault sequential change point problems have become important in modeling for various phenomena in large distributed systems, such as sensor networks. But such systems in many situations present multiple interacting faults. For…

信息论 · 计算机科学 2015-03-17 Ram Rajagopal , XuanLong Nguyen , Sinem Coleri Ergen , Pravin Varaiya