English
Related papers

Related papers: The Linear Information Coupling Problems

200 papers

It is widely accepted in the mode connectivity literature that when two neural networks are trained similarly on the same data, they are connected by a path through parameter space over which test set accuracy is maintained. Under some…

Machine Learning · Computer Science 2023-01-24 Jeevesh Juneja , Rachit Bansal , Kyunghyun Cho , João Sedoc , Naomi Saphra

This paper introduces a multi-round interaction problem with privacy constraints between two agents that observe correlated data. The agents alternately share data with one another for a total of K rounds such that each agent initiates…

Information Theory · Computer Science 2016-10-04 Bahman Moraffah , Lalitha Sankar

In order to study the fundamental limits of network densification, we look at the spatial spectral efficiency gain achieved when densely deployed communication devices embedded in the $d$-dimensional Euclidean space are optimally `matched'…

Disordered Systems and Neural Networks · Physics 2019-11-14 Alexander P. Kartun-Giles , Suhanya Jayaprakasam , Sunwoo Kim

Since its introduction, the partial information decomposition (PID) has emerged as a powerful, information-theoretic technique useful for studying the structure of (potentially higher-order) interactions in complex systems. Despite its…

Information Theory · Computer Science 2023-12-11 Thomas F. Varley

We take a unified view of network coding and decentralized control. Precisely speaking, we consider both as linear time-invariant systems by appropriately restricting channels and coding schemes of network coding to be linear…

Optimization and Control · Mathematics 2013-08-26 Se Yong Park , Anant Sahai

In the information exchange problem, k packets that are initially maintained by k nodes need to be disseminated to the whole network as quickly as possible. We consider this problem in single-hop multi- channel networks of n nodes, and…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-18 Li Ning , Dongxiao Yu , Yong Zhang , Yuexuan Wang , Francis C. M. Lau , Shenzhong Feng

This tutorial paper focuses on the variants of the bottleneck problem taking an information theoretic perspective and discusses practical methods to solve it, as well as its connection to coding and learning aspects. The intimate…

Information Theory · Computer Science 2020-02-19 Abdellatif Zaidi , Inaki Estella Aguerri , Shlomo Shamai

Many problems of interest for cyber-physical network systems can be formulated as Mixed Integer Linear Programs in which the constraints are distributed among the agents. In this paper we propose a distributed algorithm to solve this class…

Optimization and Control · Mathematics 2017-12-06 Andrea Testa , Alessandro Rucco , Giuseppe Notarstefano

The heterogeneity-gap between different modalities brings a significant challenge to multimedia information retrieval. Some studies formalize the cross-modal retrieval tasks as a ranking problem and learn a shared multi-modal embedding…

Machine Learning · Computer Science 2017-07-11 Minnan Luo , Xiaojun Chang , Zhihui Li , Liqiang Nie , Alexander G. Hauptmann , Qinghua Zheng

Multiplex networks are collections of networks with identical nodes but distinct layers of edges. They are genuine representations for a large variety of real systems whose elements interact in multiple fashions or flavors. However,…

Physics and Society · Physics 2024-02-27 Daniel Kaiser , Siddharth Patwardhan , Minsuk Kim , Filippo Radicchi

This paper lays the foundations for a unified framework for numerically and computationally applying methods drawn from a range of currently distinct geometrical approaches to statistical modelling. In so doing, it extends information…

Statistics Theory · Mathematics 2012-09-11 Karim Anaya-Izquierdo , Frank Critchley , Paul Marriott , Paul W. Vos

Algebraic connectivity, the second eigenvalue of the Laplacian matrix, is a measure of node and link connectivity on networks. When studying interconnected networks it is useful to consider a multiplex model, where the component networks…

Physics and Society · Physics 2016-03-30 Heman Shakeri , Nathan Albin , Faryad Darabi Sahneh , Pietro Poggi-Corradini , Caterina Scoglio

Hinging on ideas from physical-layer network coding, some promising proposals of coded random access systems seek to improve system performance (while preserving low complexity) by means of packet repetitions and decoding of linear…

Information Theory · Computer Science 2018-05-30 Adriano Pastore , Paul de Kerret , Monica Navarro , David Gregoratti , David Gesbert

Resource allocation is a fundamental problem in Industrial Internet of Things (IIoT) systems, in which devices work together under limited communication bandwidth to complete diverse tasks. This paper proposes a communication-efficient…

Optimization and Control · Mathematics 2026-05-26 Yuzhu Duan , Ziwen Yang , Xiaoming Duan , Shanying Zhu

We consider the problem of transmission of several distributed sources over a multiple access channel (MAC) with side information at the sources and the decoder. Source-channel separation does not hold for this channel. Sufficient…

Information Theory · Computer Science 2008-03-11 R. Rajesh , Vinod Sharma

Extension of point-to-point communication model to the realm of multi-node configurations finds a plethora of applications in internet and telecommunication networks. Here, we establish a novel advantage of quantum communication in a…

This paper gives a fresh look at network synchronization. Here we no longer analyze it from the view of mathematics, such as graph theory, while we probe into one from control theory. First, we analyze the synchronization region using the…

Systems and Control · Electrical Eng. & Systems 2026-05-05 Jilie Zhang

We address the problem of merging graph and feature-space information while learning a metric from structured data. Existing algorithms tackle the problem in an asymmetric way, by either extracting vectorized summaries of the graph…

Machine Learning · Computer Science 2020-02-17 Nicolo Colombo

Linear Programming (LP) relaxations have become powerful tools for finding the most probable (MAP) configuration in graphical models. These relaxations can be solved efficiently using message-passing algorithms such as belief propagation…

Data Structures and Algorithms · Computer Science 2012-06-18 David Sontag , Talya Meltzer , Amir Globerson , Tommi S. Jaakkola , Yair Weiss

Social media has brought a revolution on how people are consuming news. Beyond the undoubtedly large number of advantages brought by social-media platforms, a point of criticism has been the creation of echo chambers and filter bubbles,…

Social and Information Networks · Computer Science 2018-01-08 Kiran Garimella , Aristides Gionis , Nikos Parotsidis , Nikolaj Tatti