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Many decision-making problems in engineering applications such as transportation, power system and operations research require repeatedly solving large-scale linear programming problems with a large number of different inputs. For example,…

Optimization and Control · Mathematics 2020-06-11 Yize Chen , Baosen Zhang

Filterless optical transport networks relies on passive optical interconnections between nodes, i.e., on splitters/couplers and amplifiers. While different studies have investigated their design, none of them offer a solution for an optimal…

Networking and Internet Architecture · Computer Science 2021-01-05 Brigitte Jaumard , Yan Wang

We consider the two-sample testing problem for networks, where the goal is to determine whether two sets of networks originated from the same stochastic model. Assuming no vertex correspondence and allowing for different numbers of nodes,…

Statistics Theory · Mathematics 2024-06-11 Chung Kyong Nguen , Oscar Hernan Madrid Padilla , Arash A. Amini

A problem that arises in drawings of transportation networks is to minimize the number of crossings between different transportation lines. While this can be done efficiently under specific constraints, not all solutions are visually…

Data Structures and Algorithms · Computer Science 2013-06-25 Martin Fink , Sergey Pupyrev

MIMO interference network optimization is important for increasingly crowded wireless communication networks. We provide a new algorithm, named Dual Link algorithm, for the classic problem of weighted sum-rate maximization for MIMO…

Information Theory · Computer Science 2016-04-05 Xing Li , Seungil You , Lijun Chen , An Liu , Youjian , Liu

Solving for globally optimal line switching decisions in AC transmission grids can be intractability slow. Machine learning (ML) models, meanwhile, can be trained to predict near-optimal decisions at a fraction of the speed. Verifying the…

Systems and Control · Electrical Eng. & Systems 2025-10-29 Samuel Chevalier , Duncan Starkenburg , Robert Parker , Noah Rhodes

We consider a variety of NP-Complete network connectivity problems. We introduce a novel dual-based approach to approximating network design problems with cut-based linear programming relaxations. This approach gives a $3/2$-approximation…

Data Structures and Algorithms · Computer Science 2017-07-24 Benjamin Grimmer

Exponentially growing subpacketization is known to be a major issue for practical implementation of coded caching, specially in networks with multi-antenna communication setups. We provide a new coded caching scheme for such networks, which…

Information Theory · Computer Science 2019-10-30 MohammadJavad Salehi , Antti Tölli , Seyed Pooya Shariatpanahi

In Index Coding, the goal is to use a broadcast channel as efficiently as possible to communicate information from a source to multiple receivers which can possess some of the information symbols at the source as side-information. In this…

Information Theory · Computer Science 2017-11-20 Ashok Choudhary , Vamsi Krishna Gummadi , Prasad Krishnan

An efficient analog network coding transmission protocol is proposed in this letter for a MIMO two way cellular network. Block signal alignment is first proposed to null the inter-user interference for multi-antenna users, which makes the…

Information Theory · Computer Science 2013-08-19 Ming Gan , Zhiguo Ding , Xuchu Dai

A class of two-bit bit flipping algorithms for decoding low-density parity-check codes over the binary symmetric channel was proposed in [1]. Initial results showed that decoders which employ a group of these algorithms operating in…

Information Theory · Computer Science 2012-05-22 Dung Viet Nguyen , Bane Vasic , Michael W. Marcellin

The coupled problems of selecting control nodes and designing control actions for nonlinear network dynamics are fundamental scientific problems with applications in many diverse fields. These problems are thoroughly studied for linear…

Systems and Control · Electrical Eng. & Systems 2020-08-25 Aleksandar Haber , Sebastian A. Nugroho , Patricio Torres , Ahmad F. Taha

The design of codes for feedback-enabled communications has been a long-standing open problem. Recent research on non-linear, deep learning-based coding schemes have demonstrated significant improvements in communication reliability over…

Information Theory · Computer Science 2023-06-09 Junghoon Kim , Taejoon Kim , David Love , Christopher Brinton

A block decomposition method is proposed for minimizing a (possibly non-convex) continuously differentiable function subject to one linear equality constraint and simple bounds on the variables. The proposed method iteratively selects a…

Optimization and Control · Mathematics 2019-03-06 Andrea Cristofari

The design of deterministic filters can be cast as a problem of minimizing an associated cost function for an optimal control problem. Employing the min-plus linearity property of the dynamic programming operator (associated with the…

Optimization and Control · Mathematics 2012-03-28 Srinivas Sridharan

This paper presents an efficient suboptimal model predictive control (MPC) algorithm for nonlinear switched systems subject to minimum dwell time constraints (MTC). While MTC are required for most physical systems due to stability, power…

Optimization and Control · Mathematics 2022-02-16 Yutao Chen , Mircea Lazar

We study network design problems for nonlinear and nonconvex flow models without controllable elements under load scenario uncertainties, i.e., under uncertain injections and withdrawals. To this end, we apply the concept of adjustable…

Optimization and Control · Mathematics 2025-01-20 Johannes Thürauf , Julia Grübel , Martin Schmidt

We reinterpret some online greedy algorithms for a class of nonlinear "load-balancing" problems as solving a mathematical program online. For example, we consider the problem of assigning jobs to (unrelated) machines to minimize the sum of…

Data Structures and Algorithms · Computer Science 2011-09-28 Anupam Gupta , Ravishankar Krishnaswamy , Kirk Pruhs

We present a formal model to represent and solve the unicast/multicast routing problem in networks with Quality of Service (QoS) requirements. To attain this, first we translate the network adapting it to a weighted graph (unicast) or…

Logic in Computer Science · Computer Science 2009-09-29 Stefano Bistarelli , Ugo Montanari , Francesca Rossi , Francesco Santini

Unlocking the full potential of millimeter-wave and sub-terahertz wireless communication networks hinges on realizing unprecedented low-latency and high-reliability requirements. The challenge in meeting those requirements lies partly in…

Computer Vision and Pattern Recognition · Computer Science 2020-06-19 Gouranga Charan , Muhammad Alrabeiah , Ahmed Alkhateeb