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Low-Complexity Coding Techniques for Cloud Radio Access Networks

Submitted by admin on Wed, 10/23/2024 - 01:52

The problem of coding for the uplink and downlink of cloud radio access networks (C-RAN’s) with K users and L relays is considered. It is shown that low-complexity coding schemes that achieve any point in the rate-fronthaul region of joint coding and compression can be constructed starting from at most $4(K+L)-2$ point-to-point codes designed for symmetric channels. This reduces the seemingly hard task of constructing good codes for C-RAN’s to the much better understood task of finding good codes for single-user channels.

Computation of Binary Arithmetic Sum Over an Asymmetric Diamond Network

Submitted by admin on Wed, 10/23/2024 - 01:52
In this paper, the problem of zero-error network function computation is considered, where in a directed acyclic network, a single sink node is required to compute with zero error a function of the source messages that are separately generated by multiple source nodes. From the information-theoretic point of view, we are interested in the fundamental computing capacity, which is defined as the average number of times that the function can be computed with zero error for one use of the network.

Shannon Bounds for Quadratic Rate-Distortion Problems

Submitted by admin on Wed, 10/23/2024 - 01:52

The Shannon lower bound has been the subject of several important contributions by Berger. This paper surveys Shannon bounds on rate-distortion problems under mean-squared error distortion with a particular emphasis on Berger’s techniques. Moreover, as a new result, the Gray-Wyner network is added to the canon of settings for which such bounds are known. In the Shannon bounding technique, elegant lower bounds are expressed in terms of the source entropy power.

Dynamic Group Testing to Control and Monitor Disease Progression in a Population

Submitted by admin on Wed, 10/23/2024 - 01:52

Proactive testing and interventions are crucial for disease containment during a pandemic until widespread vaccination is achieved. However, a key challenge remains: Can we accurately identify all new daily infections with only a fraction of tests needed compared to testing everyone, everyday?

Tightening Continuity Bounds for Entropies and Bounds on Quantum Capacities

Submitted by admin on Wed, 10/23/2024 - 01:52

Uniform continuity bounds on entropies are generally expressed in terms of a single distance measure between probability distributions or quantum states, typically, the total variation-or trace distance. However, if an additional distance measure is known, the continuity bounds can be significantly strengthened. Here, we prove a tight uniform continuity bound for the Shannon entropy in terms of both the local-and total variation distances, sharpening an inequality in I. Sason, Âé¶¹´«Ã½Ó³»­ Trans. Inf. Th., 59, 7118 (2013).

Statistical Inference With Limited Memory: A Survey

Submitted by admin on Wed, 10/23/2024 - 01:52

The problem of statistical inference in its various forms has been the subject of decades-long extensive research. Most of the effort has been focused on characterizing the behavior as a function of the number of available samples, with far less attention given to the effect of memory limitations on performance. Recently, this latter topic has drawn much interest in the engineering and computer science literature.

An Information-Theoretic Approach to Unsupervised Feature Selection for High-Dimensional Data

Submitted by admin on Wed, 10/23/2024 - 01:52

In this paper, we propose an information-theoretic approach to design the functional representations to extract the hidden common structure shared by a set of random variables. The main idea is to measure the common information between the random variables by Watanabe’s total correlation, and then find the hidden attributes of these random variables such that the common information is reduced the most given these attributes.