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We consider the problem of optimally allocating a given total storage budget in a distributed storage system. A source has a data object which it can code and store over a set of storage nodes; it is allowed to store any amount of coded…

Information Theory · Computer Science 2016-11-15 Derek Leong , Alexandros G. Dimakis , Tracey Ho

We use queueing networks to present a new approach to solving Laplacian systems. This marks a significant departure from the existing techniques, mostly based on graph-theoretic constructions and sampling. Our distributed solver works for a…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-11 Iqra Altaf Gillani , Amitabha Bagchi

Constrained submodular set function maximization problems often appear in multi-agent decision-making problems with a discrete feasible set. A prominent example is the problem of multi-agent mobile sensor placement over a discrete domain.…

Optimization and Control · Mathematics 2020-12-01 Navid Rezazadeh , Solmaz S. Kia

The concept of bounded highway dimension was developed to capture observed properties of the metrics of road networks. We show that a graph with bounded highway dimension, for any vertex, can be embedded into a a graph of bounded treewidth…

Data Structures and Algorithms · Computer Science 2017-11-15 Amariah Becker , Philip N. Klein , David Saulpic

We introduce and study a discrete multi-period extension of the classical knapsack problem, dubbed generalized incremental knapsack. In this setting, we are given a set of $n$ items, each associated with a non-negative weight, and $T$ time…

Data Structures and Algorithms · Computer Science 2020-09-16 Yuri Faenza , Danny Segev , Lingyi Zhang

In list-decodable subspace recovery, the input is a collection of $n$ points $\alpha n$ (for some $\alpha \ll 1/2$) of which are drawn i.i.d. from a distribution $\mathcal{D}$ with a isotropic rank $r$ covariance $\Pi_*$ (the…

Data Structures and Algorithms · Computer Science 2021-01-08 Ainesh Bakshi , Pravesh K. Kothari

We give an asymptotic approximation scheme (APTAS) for the problem of packing a set of circles into a minimum number of unit square bins. To obtain rational solutions, we use augmented bins of height $1+\gamma$, for some arbitrarily small…

Data Structures and Algorithms · Computer Science 2014-12-16 Flávio K. Miyazawa , Lehilton L. C. Pedrosa , Rafael C. S. Schouery , Maxim Sviridenko , Yoshiko Wakabayashi

In this paper, we consider the problem of distributed optimisation of a separable convex cost function over a graph, where every edge and node in the graph could carry both linear equality and/or inequality constraints. We show how to…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-20 Richard Heusdens , Guoqiang Zhang

In this work, we consider the distributed optimization of non-smooth convex functions using a network of computing units. We investigate this problem under two regularity assumptions: (1) the Lipschitz continuity of the global objective…

Optimization and Control · Mathematics 2018-06-04 Kevin Scaman , Francis Bach , Sébastien Bubeck , Yin Tat Lee , Laurent Massoulié

This paper presents a special type of distributed optimization problems, where the summation of agents' local cost functions (i.e., global cost function) is convex, but each individual can be non-convex. Unlike most distributed optimization…

Optimization and Control · Mathematics 2021-08-16 Yipeng Pang , Guoqiang Hu

In real-time systems, in addition to the functional correctness recurrent tasks must fulfill timing constraints to ensure the correct behavior of the system. Partitioned scheduling is widely used in real-time systems, i.e., the tasks are…

Data Structures and Algorithms · Computer Science 2018-09-13 Jian-Jia Chen , Nikhil Bansal , Samarjit Chakraborty , Georg von der Brüggen

This paper investigates the distributed fixed point seeking problem of sum-separable stochastic operators over the multi-agent network. Based on inexact Krasnosel'ski\u{\i}--Mann iterations, the communication-efficient distributed algorithm…

Optimization and Control · Mathematics 2026-05-22 Fan Li , Lei Xu , Xinlei Yi , Guanghui Wen , Yang Shi , Tao Yang

In this paper, we will find a pseudopolynomial algorithm to solve $Qm \mid \mid L_{\max}$ and then we will prove that it is impossible to get any constant-factor approximation in polynomial time, and thus also impossible to have a PTAS for…

Data Structures and Algorithms · Computer Science 2020-01-23 Elbert Du , Stan Zhang

This paper studies the distributed scheduling of traffic flows with arbitrary deadlines that arrive at their source nodes and are transmitted to different destination nodes via multiple intermediate nodes in a wireless mesh network. When a…

Networking and Internet Architecture · Computer Science 2024-07-16 Xin Wang , Xudong Wang

The problem of minimizing a polynomial over the standard simplex is one of the basic NP-hard nonlinear optimization problems --- it contains the maximum clique problem in graphs as a special case. It is known that the problem allows a…

Optimization and Control · Mathematics 2014-10-29 Etienne de Klerk , Monique Laurent , Zhao Sun

A distributed adaptive algorithm to estimate a time-varying signal, measured by a wireless sensor network, is designed and analyzed. One of the major features of the algorithm is that no central coordination among the nodes needs to be…

Distributed, Parallel, and Cluster Computing · Computer Science 2008-10-22 Carlo Fischione , Alberto Speranzon , Karl H. Johansson , Alberto Sangiovanni-Vincentelli

We revisit various PTAS's (Polynomial Time Approximation Schemes) for minimization versions of dense problems, and show that they can be performed with sublinear query complexity. This means that not only do we obtain a…

Computational Complexity · Computer Science 2012-05-01 Nir Ailon , Zohar Karnin

Inspired by recent advances in distributed algorithms for approximating Wasserstein barycenters, we propose a novel distributed algorithm for this problem. The main novelty is that we consider time-varying computational networks, which are…

Optimization and Control · Mathematics 2023-07-26 Olga Yufereva , Michael Persiianov , Pavel Dvurechensky , Alexander Gasnikov , Dmitry Kovalev

This paper studies the distributed average tracking problem pertaining to a discrete-time linear time-invariant multi-agent network, which is subject to, concurrently, input delays, random packet-drops, and reference noise. The problem…

Systems and Control · Electrical Eng. & Systems 2020-01-23 Fei Chen , Changjiang Chen , Ge Guo , Changchun Hua , Guanrong Chen

r-gathering problem is a variant of facility location problems. In this problem, we are given a set of users and a set of facilities on same metric space. We open some of the facilities and assign each user to an open facility, so that at…

Data Structures and Algorithms · Computer Science 2019-07-10 Soh Kumabe , Takanori Maehara
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