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Routing is, arguably, the most fundamental task in computer networking, and the most extensively studied one. A key challenge for routing in real-world environments is the need to contend with uncertainty about future traffic demands. We…

Networking and Internet Architecture · Computer Science 2023-03-07 Yarin Perry , Felipe Vieira Frujeri , Chaim Hoch , Srikanth Kandula , Ishai Menache , Michael Schapira , Aviv Tamar

Real world networks are often subject to severe uncertainties which need to be addressed by any reliable prescriptive model. In the context of the maximum flow problem subject to arc failure, robust models have gained particular attention.…

Discrete Mathematics · Computer Science 2017-05-24 Fabian Mies , Britta Peis , Andreas Wierz

Maximum likelihood estimation is a fundamental optimization problem in statistics. We study this problem on manifolds of matrices with bounded rank. These represent mixtures of distributions of two independent discrete random variables. We…

Algebraic Geometry · Mathematics 2013-03-19 Jonathan Hauenstein , Jose Rodriguez , Bernd Sturmfels

This paper develops upper bounds on the end-to-end transmission capacity of multi-hop wireless networks. Potential source-destination paths are dynamically selected from a pool of randomly located relays, from which a closed-form lower…

Information Theory · Computer Science 2013-02-08 Yuxin Chen , Jeffrey G. Andrews

Disordered complex networks are of fundamental interest as stochastic models for information transmission over wireless networks. Well-known networks based on the Poisson point process model have limitations vis-a-vis network efficiency,…

Signal Processing · Electrical Eng. & Systems 2022-03-14 Subhro Ghosh , Naoto Miyoshi , Tomoyuki Shirai

Failure restoration at the IP layer in IP-over-WDM networks requires to map the IP topology on the WDM topology in such a way that a failure at the WDM layer leaves the IP topology connected. Such a mapping is called $survivable$. As…

Networking and Internet Architecture · Computer Science 2007-05-23 Maciej Kurant , Patrick Thiran

Given a network infrastructure (e.g., data-center or on-chip-network) and a distribution on the source-destination requests, the expected path (route) length is an important measure for the performance, efficiency and power consumption of…

Networking and Internet Architecture · Computer Science 2012-07-06 Chen Avin , Michael Borokhovich , Bernhard Haeupler , Zvi Lotker

We consider the capacity problem (or, the single slot scheduling problem) in wireless networks. Our goal is to maximize the number of successful connections in arbitrary wireless networks where a transmission is successful only if the…

Data Structures and Algorithms · Computer Science 2010-11-23 Eyjólfur Ingi Ásgeirsson , Pradipta Mitra

In this paper, we consider the robustness of a basic model of a dynamical distribution network. In the first problem, i.e., optimal weight allocation, we minimize the H-inf- norm of the dynamical distribution network subject to allocation…

Optimization and Control · Mathematics 2018-05-03 Jieqiang Wei , Alexander Johansson , Henrik Sandberg , Karl H. Johansson , Jie Chen

Max-product "belief propagation" is an iterative, local, message-passing algorithm for finding the maximum a posteriori (MAP) assignment of a discrete probability distribution specified by a graphical model. Despite the spectacular success…

Information Theory · Computer Science 2012-03-06 Mohsen Bayati , Devavrat Shah , Mayank Sharma

We present a novel probabilistic approach for optimal path experimental design. In this approach a discrete path optimization problem is defined on a static navigation mesh, and trajectories are modeled as random variables governed by a…

Optimization and Control · Mathematics 2026-01-19 Ahmed Attia

In dynamic and resource-constrained environments, such as multi-hop wireless mesh networks, traditional routing protocols often falter by relying on predetermined paths that prove ineffective in unpredictable link conditions. Shortest…

Networking and Internet Architecture · Computer Science 2026-02-02 Narjes Nourzad , Bhaskar Krishnamachari

Oblivious routing has a long history in both the theory and practice of networking. In this work we initiate the formal study of oblivious routing in the context of reconfigurable networks, a new architecture that has recently come to the…

Data Structures and Algorithms · Computer Science 2021-11-18 Daniel Amir , Tegan Wilson , Vishal Shrivastav , Hakim Weatherspoon , Robert Kleinberg , Rachit Agarwal

This work concerns the estimation of recursive route choice models in the situation that the trip observations are incomplete, i.e., there are unconnected links (or nodes) in the observations. A direct approach to handle this issue would be…

Econometrics · Economics 2022-04-28 Tien Mai , The Viet Bui , Quoc Phong Nguyen , Tho V. Le

Evaluating the reliability of complex technical networks, such as those in energy distribution, logistics, and transportation systems, is of paramount importance. These networks are often represented as multistate flow networks (MFNs).…

Discrete Mathematics · Computer Science 2023-11-30 Majid Forghani-elahabad

In this paper we consider a network of processors aiming at cooperatively solving linear programming problems subject to uncertainty. Each node only knows a common cost function and its local uncertain constraint set. We propose a…

Optimization and Control · Mathematics 2019-08-27 Mohammadreza Chamanbaz , Giuseppe Notarstefano , Roland Bouffanais

Reinforcement learning is the method of choice to train models in sampling-based setups with binary outcome feedback, such as navigation, code generation, and mathematical problem solving. In such settings, models implicitly induce a…

We study, possibly distributed, robust weight control policies for DC power networks that change link susceptances, or weights in response to balanced disturbances to the supply-demand vector. The margin of robustness for a given control…

Optimization and Control · Mathematics 2016-10-19 Qin Ba , Ketan Savla

A very popular class of models for networks posits that each node is represented by a point in a continuous latent space, and that the probability of an edge between nodes is a decreasing function of the distance between them in this latent…

Statistics Theory · Mathematics 2025-01-07 Cosma Rohilla Shalizi , Dena Marie Asta

In this paper, we study the problem of learning probabilistic logical rules for inductive and interpretable link prediction. Despite the importance of inductive link prediction, most previous works focused on transductive link prediction…

Machine Learning · Computer Science 2019-11-04 Ali Sadeghian , Mohammadreza Armandpour , Patrick Ding , Daisy Zhe Wang