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Recent advances in symbolic dynamic programming (SDP) combined with the extended algebraic decision diagram (XADD) data structure have provided exact solutions for mixed discrete and continuous (hybrid) MDPs with piecewise linear dynamics…

Artificial Intelligence · Computer Science 2013-09-27 Luis Gustavo Vianna , Scott Sanner , Leliane Nunes de Barros

We find large deviations rates for consensus-based distributed inference for directed networks. When the topology is deterministic, we establish the large deviations principle and find exactly the corresponding rate function, equal at all…

Information Theory · Computer Science 2016-06-29 Dragana Bajović , José M. F. Moura , João Xavier , Bruno Sinopoli

We study properties of strongly separately continuous mappings defined on subsets of products of topological spaces equipped with the topology of pointwise convergence. In particular, we give a necessary and sufficient condition for a…

General Topology · Mathematics 2014-11-26 Olena Karlova , Volodymyr Mykhaylyuk

The problem of function approximation by neural dynamical systems has typically been approached in a top-down manner: Any continuous function can be approximated to an arbitrary accuracy by a sufficiently complex model with a given…

Optimization and Control · Mathematics 2023-09-22 Tanya Veeravalli , Maxim Raginsky

One of the most important problems in the field of distributed optimization is the problem of minimizing a sum of local convex objective functions over a networked system. Most of the existing work in this area focus on developing…

Optimization and Control · Mathematics 2019-01-08 Fatemeh Mansoori , Ermin Wei

Large-scale saddle-point problems arise in such machine learning tasks as GANs and linear models with affine constraints. In this paper, we study distributed saddle-point problems (SPP) with strongly-convex-strongly-concave smooth…

Optimization and Control · Mathematics 2022-10-04 Dmitriy Metelev , Alexander Rogozin , Alexander Gasnikov , Dmitry Kovalev

Algorithms with predictions is a growing area that aims to leverage machine-learned predictions to design faster beyond-worst-case algorithms. In this paper, we use this framework to design a learned data structure for the incremental…

Data Structures and Algorithms · Computer Science 2026-04-30 Ronald Deng , Samuel McCauley , Aidin Niaparast , Helia Niaparast , Bennett Ptak , Shirel Quintanilla , Shikha Singh , Nathan Vosburg

In distributed machine learning, where agents collaboratively learn from diverse private data sets, there is a fundamental tension between consensus and optimality. In this paper, we build on recent algorithmic progresses in distributed…

Machine Learning · Statistics 2018-05-31 Zhanhong Jiang , Aditya Balu , Chinmay Hegde , Soumik Sarkar

Network experiments are essential to network-related scientific research (e.g., congestion control, QoS, network topology design, and traffic engineering). However, (re)configuring various topologies on a real testbed is expensive,…

Networking and Internet Architecture · Computer Science 2023-11-23 Zixuan Chen , Zhigao Zhao , Zijian Li , Jiang Shao , Sen Liu , Yang Xu

The problem Power Dominating Set (PDS) is motivated by the placement of phasor measurement units to monitor electrical networks. It asks for a minimum set of vertices in a graph that observes all remaining vertices by exhaustively applying…

Data Structures and Algorithms · Computer Science 2023-06-19 Thomas Bläsius , Max Göttlicher

Stability of synchronization in delay-coupled networks of identical units generally depends in a complicated way on the coupling topology. We show that for large coupling delays synchronizability relates in a simple way to the spectral…

Chaotic Dynamics · Physics 2010-12-16 V. Flunkert , S. Yanchuk , T. Dahms , E. Schoell

Recent focus on robustness to adversarial attacks for deep neural networks produced a large variety of algorithms for training robust models. Most of the effective algorithms involve solving the min-max optimization problem for training…

Machine Learning · Computer Science 2021-03-03 Yasaman Esfandiari , Aditya Balu , Keivan Ebrahimi , Umesh Vaidya , Nicola Elia , Soumik Sarkar

We present a computer-checked generic implementation for solving finite-horizon sequential decision problems. This is a wide class of problems, including inter-temporal optimizations, knapsack, optimal bracketing, scheduling, etc. The…

Logic in Computer Science · Computer Science 2023-06-22 Nicola Botta , Patrik Jansson , Cezar Ionescu , David R. Christiansen , Edwin Brady

In this paper, we define a new class of distributed tasks, called SOS tasks (for Set of Output Sets tasks), defined by the set $O$ of distinct output sets of values that can be produced. We then demonstrate that this class of tasks is…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-09 Timothé Albouy , Antonio Fernández Anta , Chryssis Georgiou , Nicolas Nicolaou , Junlang Wang

Edge computing promises to offer low-latency and ubiquitous computation to numerous devices at the network edge. For delay-sensitive applications, link delays can have a direct impact on service quality. These delays can fluctuate…

Networking and Internet Architecture · Computer Science 2025-03-04 Jiaming Cheng , Duong Thuy Anh Nguyen , Ni Trieu , Duong Tung Nguyen

There has been recent progress in showing that the exponential dependence on treewidth in dynamic programming algorithms for solving NP-hard problems are optimal under the Strong Exponential Time Hypothesis (SETH). We extend this work to…

Data Structures and Algorithms · Computer Science 2015-02-04 Glencora Borradaile , Hung Le

This paper aims to solve a distributed resource allocation problem with binary local constraints. The problem is formulated as a binary program with a cost function defined by the summation of agent costs plus a global mismatch/penalty…

Optimization and Control · Mathematics 2020-07-29 Tor Anderson , Sonia Martinez

This paper provides an algorithmic framework for obtaining fast distributed algorithms for a highly-dynamic setting, in which *arbitrarily many* edge changes may occur in each round. Our algorithm significantly improves upon prior work in…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-13 Keren Censor-Hillel , Neta Dafni , Victor I. Kolobov , Ami Paz , Gregory Schwartzman

Causal consistency is one of the most adopted consistency criteria for distributed implementations of data structures. It ensures that operations are executed at all sites according to their causal precedence. We address the issue of…

Logic in Computer Science · Computer Science 2016-11-16 Ahmed Bouajjani , Constantin Enea , Rachid Guerraoui , Jad Hamza

In this paper, we present a simple combinatorial algorithm that solves symmetric diagonally dominant (SDD) linear systems in nearly-linear time. It uses very little of the machinery that previously appeared to be necessary for a such an…

Data Structures and Algorithms · Computer Science 2013-01-29 Jonathan A. Kelner , Lorenzo Orecchia , Aaron Sidford , Zeyuan Allen Zhu