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This paper derives fundamental limits associated with compressive classification of Gaussian mixture source models. In particular, we offer an asymptotic characterization of the behavior of the (upper bound to the) misclassification…

信息论 · 计算机科学 2019-08-15 Hugo Reboredo , Francesco Renna , Robert Calderbank , Miguel R. D. Rodrigues

Modeling latent variables with priors and hyperpriors is an essential problem in variational image compression. Formally, trade-off between rate and distortion is handled well if priors and hyperpriors precisely describe latent variables.…

计算机视觉与模式识别 · 计算机科学 2022-03-23 Xiaosu Zhu , Jingkuan Song , Lianli Gao , Feng Zheng , Heng Tao Shen

We consider the k-encoder source coding problem with a quadratic distortion measure. We show that among all source distributions with a given covariance matrix K, the jointly Gaussian source requires the highest rates in order to meet a…

信息论 · 计算机科学 2016-11-15 Ilan Shomorony , A. Salman Avestimehr , Himanshu Asnani , Tsachy Weissman

Estimation of the mean vector and covariance matrix is of central importance in the analysis of multivariate data. In the framework of generalized linear models, usually the variances are certain functions of the means with the normal…

统计方法学 · 统计学 2023-01-25 Anupam Kundu , Mohsen Pourahmadi

Path planning is an important component of au- tonomous mobile sensing systems. This paper studies upper and lower bounds of communication performance over Gaussian sen- sor networks, to drive power-distortion metrics for path planning…

信息论 · 计算机科学 2016-02-23 Emrah Akyol , Urbashi Mitra

Transmission of a Gaussian source over a time-varying Gaussian channel is studied in the presence of time-varying correlated side information at the receiver. A block fading model is considered for both the channel and the side information,…

信息论 · 计算机科学 2015-05-27 Iñaki Estella Aguerri , Deniz Gündüz

In this paper, we analyze the Gaussian X channel in the mixed interference regime. In this regime, multiple access transmission to one of the receivers is shown to be close to optimal in terms of sum rate. Three upper bounds are derived for…

信息论 · 计算机科学 2015-05-26 Praneeth Kumar , Srikrishna Bhashyam

We consider distributed estimation of a Gaussian vector with a linear observation model in an inhomogeneous wireless sensor network, where a fusion center (FC) reconstructs the unknown vector, using a linear estimator. Sensors employ…

信息论 · 计算机科学 2016-08-24 Alireza Sani , Azadeh Vosoughi

This paper studies fixed-rate randomized vector quantization under the constraint that the quantizer's output has a given fixed probability distribution. A general representation of randomized quantizers that includes the common models in…

信息论 · 计算机科学 2016-11-15 Naci Saldi , Tamás Linder , Serdar Yüksel

A novel distributed source coding model which named semantic-aware multi-terminal (MT) source coding is proposed and investigated in the paper, where multiple agents independently encode an imperceptible semantic source, while both semantic…

信息论 · 计算机科学 2024-04-24 Yuxuan Shi , Shuo Shao , Yongpeng Wu , Jun Chen , Wenjun Zhang

The paper contains results in three areas: First we present a general estimate for tail probabilities of Gaussian quadratic forms with known expectation and variance. Thereafter we analyze the distribution of norms of complex Gaussian…

概率论 · 数学 2019-03-20 Georg Berschneider , Björn Böttcher

Let $X,Y$ be jointly Gaussian vectors, and consider random variables $U,V$ that satisfy the Markov constraint $U-X-Y-V$. We prove an extremal inequality relating the mutual informations between all ${4 \choose 2}$ pairs of random variables…

信息论 · 计算机科学 2014-04-29 Thomas Courtade , Jiantao Jiao

We study multivariate normal models that are described by linear constraints on the inverse of the covariance matrix. Maximum likelihood estimation for such models leads to the problem of maximizing the determinant function over a…

统计理论 · 数学 2009-06-22 Bernd Sturmfels , Caroline Uhler

Mixture models, such as Gaussian mixture models, are widely used in machine learning to represent complex data distributions. A key challenge, especially in high-dimensional settings, is to determine the mixture order and estimate the…

最优化与控制 · 数学 2025-09-30 Srećko Đurašinović , Jean-Bernard Lasserre , Victor Magron

We consider the problem of estimating a signal corrupted by independent interference with the assistance of a cost-constrained helper who knows the interference causally or noncausally. When the interference is known causally, we…

信息论 · 计算机科学 2012-03-21 Yeow-Khiang Chia , Rajiv Soundararajan , Tsachy Weissman

We consider the design of asymmetric multiple description lattice quantizers that cover the entire spectrum of the distortion profile, ranging from symmetric or balanced to successively refinable. We present a solution to a labeling…

组合数学 · 数学 2007-05-23 Suhas N. Diggavi , N. J. A. Sloane , Vinay A. Vaishampayan

A code for communication over the k-receiver additive white Gaussian noise broadcast channel with feedback is presented and analyzed using tools from the theory of linear quadratic Gaussian optimal control. It is shown that the performance…

信息论 · 计算机科学 2011-02-17 Ehsan Ardestanizadeh , Paolo Minero , Massimo Franceschetti

We investigate the optimal performance of dense sensor networks by studying the joint source-channel coding problem. The overall goal of the sensor network is to take measurements from an underlying random process, code and transmit those…

信息论 · 计算机科学 2007-07-13 Nan Liu , Sennur Ulukus

We study the secure lossy transmission of a vector Gaussian source to a legitimate user in the presence of an eavesdropper, where both the legitimate user and the eavesdropper have vector Gaussian side information. The aim of the…

信息论 · 计算机科学 2011-08-18 Ersen Ekrem , Sennur Ulukus

We consider the classical problem of estimating the covariance matrix of a subgaussian distribution from i.i.d. samples in the novel context of coarse quantization, i.e., instead of having full knowledge of the samples, they are quantized…

信息论 · 计算机科学 2022-04-25 Sjoerd Dirksen , Johannes Maly , Holger Rauhut