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Channel charting is a recently proposed framework that applies dimensionality reduction to channel state information (CSI) in wireless systems with the goal of associating a pseudo-position to each mobile user in a low-dimensional space:…

Information Theory · Computer Science 2023-04-18 Paul Ferrand , Maxime Guillaud , Christoph Studer , Olav Tirkkonen

As one of the mainstream models of artificial intelligence, world models allow agents to learn the representation of the environment for efficient prediction and planning. However, classical world models based on flat tensors face several…

Artificial Intelligence · Computer Science 2026-05-01 Jiawei Liu , Senqiao Yang , Mingjun Wang , Yu Wang , Bei Yu

The behavior of complex systems is determined not only by the topological organization of their interconnections but also by the dynamical processes taking place among their constituents. A faithful modeling of the dynamics is essential…

Physics and Society · Physics 2015-05-20 R. Lambiotte , R. Sinatra , J. -C. Delvenne , T. S. Evans , M. Barahona , V. Latora

We study routing for massively dense wireless networks, i.e., wireless networks that contain so many nodes that, in addition to their usual microscopic description, a novel macroscopic description becomes possible. The macroscopic…

Networking and Internet Architecture · Computer Science 2013-10-24 R. Catanuto , S. Toumpis , G. Morabito

Coinductive reasoning about infinitary structures such as streams is widely applicable. However, practical frameworks for developing coinductive proofs and finding reasoning principles that help structure such proofs remain a challenge,…

Programming Languages · Computer Science 2020-01-13 Yannick Zakowski , Paul He , Chung-Kil Hur , Steve Zdancewic

This paper presents a set of new results directly exploring the special characteristics of the wireless channel capacity process. An appealing finding is that, for typical fading channels, their instantaneous capacity and cumulative…

Information Theory · Computer Science 2017-05-11 Fengyou Sun , Yuming Jiang

In the talk at the workshop my aim was to demonstrate the usefulness of graph techniques for tackling problems that have been studied predominantly as problems on the term level: increasing sharing in functional programs, and addressing…

Logic in Computer Science · Computer Science 2019-02-07 Clemens Grabmayer

Graphs can model real-world, complex systems by representing entities and their interactions in terms of nodes and edges. To better exploit the graph structure, graph neural networks have been developed, which learn entity and edge…

Machine Learning · Computer Science 2022-06-06 Tong Liu , Yushan Liu , Marcel Hildebrandt , Mitchell Joblin , Hang Li , Volker Tresp

Quantum networks are often modelled using Schroedinger operators on metric graphs. To give meaning to such models one has to know how to interpret the boundary conditions which match the wave functions at the graph vertices. In this article…

Mathematical Physics · Physics 2009-11-13 Pavel Exner , Olaf Post

The shift toward more renewable energy sources and distributed generation in smart grids has underscored the significance of modeling and analyzing modern power systems as cyber-physical systems (CPS). This transformation has highlighted…

Numerical Analysis · Mathematics 2024-09-10 Khandaker Akramul Haque , Leen Al Homoud , Xin Zhuang , Mariam Elnour , Ana Goulart , Katherine Davis

We prove tight network topology dependent bounds on the round complexity of computing well studied $k$-party functions such as set disjointness and element distinctness. Unlike the usual case in the CONGEST model in distributed computing,…

Computational Complexity · Computer Science 2016-11-02 Arkadev Chattopadhyay , Michael Langberg , Shi Li , Atri Rudra

Empowered by deep learning, semantic communication marks a paradigm shift from transmitting raw data to conveying task-relevant meaning, enabling more efficient and intelligent wireless systems. In this study, we explore a deep…

Information Theory · Computer Science 2026-01-28 Chenyang Wang , Roger Olsson , Stefan Forsström , Qing He

We explore pseudometrics for directed graphs in order to better understand their topological properties. The directed flag complex associated to a directed graph provides a useful bridge between network science and topology. Indeed, it has…

Algebraic Topology · Mathematics 2021-07-26 Ana Lucia Garcia-Pulido , Kathryn Hess , Jane Tan , Katharine Turner , Bei Wang , Naya Yerolemou

We introduce a quantitative measure of network bipartivity as a proportion of even to total number of closed walks in the network. Spectral graph theory is used to quantify how close to bipartite a network is and the extent to which…

Statistical Mechanics · Physics 2009-11-11 Ernesto Estrada , Juan A. Rodriguez-Velazquez

We address the problem of defining graph transformations by the simultaneous application of direct transformations even when these cannot be applied independently of each other. An algebraic approach is adopted, with production rules of the…

Logic in Computer Science · Computer Science 2019-04-19 Thierry Boy de la Tour , Rachid Echahed

Many applications collect a large number of time series, for example, the financial data of companies quoted in a stock exchange, the health care data of all patients that visit the emergency room of a hospital, or the temperature sequences…

Information Theory · Computer Science 2017-02-09 Jonathan Mei , José M. F. Moura

We present a form of algebraic reasoning for computational objects which are expressed as graphs. Edges describe the flow of data between primitive operations which are represented by vertices. These graphs have an interface made of…

Logic in Computer Science · Computer Science 2010-07-23 Lucas Dixon , Ross Duncan , Aleks Kissinger

The Local Computation Algorithms (LCA) model is a computational model aimed at problem instances with huge inputs and output. For graph problems, the input graph is accessed using probes: strong probes (SP) specify a vertex $v$ and receive…

Data Structures and Algorithms · Computer Science 2017-03-23 Uriel Feige , Boaz Patt-Shamir , Shai Vardi

We establish necessary and sufficient conditions for a network configuration to provide utilities that are both fair and efficient in a well-defined sense. To cover as many applications as possible with a unified framework, we consider…

Signal Processing · Electrical Eng. & Systems 2023-11-27 Renato Luis Garrido Cavalcante , Lorenzo Miretti , Slawomir Stanczak

This paper studies causal inference with observational data from a single large network. We consider a nonparametric model with interference in both potential outcomes and selection into treatment. Specifically, both stages may be the…

Econometrics · Economics 2025-12-30 Michael P. Leung , Pantelis Loupos