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Many problems of interest for cyber-physical network systems can be formulated as Mixed-Integer Linear Programs in which the constraints are distributed among the agents. In this paper we propose a distributed algorithmic framework to solve…

Optimization and Control · Mathematics 2019-06-05 Andrea Testa , Alessandro Rucco , Giuseppe Notarstefano

Today's data centers have an abundance of computing resources, hosting server clusters consisting of as many as tens or hundreds of thousands of machines. To execute a complex computing task over a data center, it is natural to distribute…

Information Theory · Computer Science 2017-02-24 Qian Yu , Songze Li , Mohammad Ali Maddah-Ali , A. Salman Avestimehr

We study optimization algorithms for the finite sum problems frequently arising in machine learning applications. First, we propose novel variants of stochastic gradient descent with a variance reduction property that enables linear…

Machine Learning · Computer Science 2017-07-06 Jakub Konečný

We consider the problem of secure distributed matrix multiplication in which a user wishes to compute the product of two matrices with the assistance of honest but curious servers. We show how to construct polynomial schemes for the outer…

Information Theory · Computer Science 2024-05-13 Ryann Cartor , Rafael G. L. D'Oliveira , Salim El Rouayheb , Daniel Heinlein , David Karpuk , Alex Sprintson

This paper considers the problem of multi-server Private Linear Computation, under the joint and individual privacy guarantees. In this problem, identical copies of a dataset comprised of $K$ messages are stored on $N$ non-colluding…

Information Theory · Computer Science 2021-08-24 Nahid Esmati , Anoosheh Heidarzadeh

We consider the multiuser successive refinement (MSR) problem, where the users are connected to a central server via links with different noiseless capacities, and each user wishes to reconstruct in a successive-refinement fashion. An…

Information Theory · Computer Science 2007-11-13 Chao Tian , Jun Chen , Suhas Diggavi

Multilayer networks are a powerful paradigm to model complex systems, where multiple relations occur between the same entities. Despite the keen interest in a variety of tasks, algorithms, and analyses in this type of network, the problem…

Data Structures and Algorithms · Computer Science 2019-11-18 Edoardo Galimberti , Francesco Bonchi , Francesco Gullo , Tommaso Lanciano

We propose two coded schemes for the distributed computing problem of multiplying a matrix by a set of vectors. The first scheme is based on partitioning the matrix into submatrices and applying maximum distance separable (MDS) codes to…

Information Theory · Computer Science 2018-10-22 Albin Severinson , Alexandre Graell i Amat , Eirik Rosnes

We consider the multi-access coded caching problem, which contains a central server with $N$ files, $K$ caches with $M$ units of memory each and $K$ users where each one is connected to $L (\geq 1)$ consecutive caches, with a cyclic…

Information Theory · Computer Science 2023-05-10 Srinivas Reddy Kota , Nikhil Karamchandani

In contrast to the network coding problem wherein the sinks in a network demand subsets of the source messages, in a network computation problem the sinks demand functions of the source messages. Similarly, in the functional index coding…

Information Theory · Computer Science 2016-03-18 Anindya Gupta , B. Sundar Rajan

In this paper, we study the problem of delay minimization in NFV-based networks. In such systems, the ultimate goal of any request is to compute a sequence of functions in the network, where each function can be computed at only a specific…

Information Theory · Computer Science 2018-09-12 Behrooz Tahmasebi , Mohammad Ali Maddah-Ali , Saeedeh Parsaeefard , Babak Hossein Khalaj

We study distributed low rank approximation in which the matrix to be approximated is only implicitly represented across the different servers. For example, each of $s$ servers may have an $n \times d$ matrix $A^t$, and we may be interested…

Numerical Analysis · Computer Science 2016-01-29 David P. Woodruff , Peilin Zhong

Learning mappings of data on manifolds is an important topic in contemporary machine learning, with applications in astrophysics, geophysics, statistical physics, medical diagnosis, biochemistry, 3D object analysis. This paper studies the…

Numerical Analysis · Mathematics 2020-07-21 Guido Montúfar , Yu Guang Wang

We introduce the new concept of computation coding. Similar to how rate-distortion theory is concerned with the lossy compression of data, computation coding deals with the lossy computation of functions. Particularizing to linear…

Information Theory · Computer Science 2021-02-02 Ralf Müller , Bernhard Gäde , Ali Bereyhi

Internet supercomputing is an approach to solving partitionable, computation-intensive problems by harnessing the power of a vast number of interconnected computers. For the problem of using network supercomputing to perform a large…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-07-04 Seda Davtyan , Kishori M. Konwar , Alexander A. Shvartsman

The problem of computing functions of values at the nodes in a network in a totally distributed manner, where nodes do not have unique identities and make decisions based only on local information, has applications in sensor, peer-to-peer,…

Networking and Internet Architecture · Computer Science 2007-05-23 Damon Mosk-Aoyama , Devavrat Shah

Consider a multi-cell mobile edge computing network, in which each user wishes to compute the product of a user-generated data matrix with a network-stored matrix. This is done through task offloading by means of input uploading,…

Information Theory · Computer Science 2021-01-19 Kuikui Li , Meixia Tao , Jingjing Zhang , Osvaldo Simeone

Among the novel metrics used to study the relative importance of nodes in complex networks, k-core decomposition has found a number of applications in areas as diverse as sociology, proteinomics, graph visualization, and distributed system…

Other Computer Science · Computer Science 2011-03-30 Alberto Montresor , Francesco De Pellegrini , Daniele Miorandi

Quantum bits have technological imperfections. Additionally, the capacity of a component that can be implemented feasibly is limited. Therefore, distributed quantum computation is required to scale up quantum computers. This dissertation…

Quantum Physics · Physics 2017-04-11 Shota Nagayama

This paper deals with a distributed Mixed-Integer Linear Programming (MILP) set-up arising in several control applications. Agents of a network aim to minimize the sum of local linear cost functions subject to both individual constraints…

Optimization and Control · Mathematics 2021-02-12 Andrea Camisa , Ivano Notarnicola , Giuseppe Notarstefano