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We present a distributed-memory library for computations with dense structured matrices. A matrix is considered structured if its off-diagonal blocks can be approximated by a rank-deficient matrix with low numerical rank. Here, we use…

Mathematical Software · Computer Science 2015-06-29 François-Henry Rouet , Xiaoye S. Li , Pieter Ghysels , Artem Napov

We give the first polynomial-time approximation scheme (PTAS) for the Steiner forest problem on planar graphs and, more generally, on graphs of bounded genus. As a first step, we show how to build a Steiner forest spanner for such graphs.…

Data Structures and Algorithms · Computer Science 2009-11-30 MohammadHossein Bateni , MohammadTaghi Hajiaghayi , Dániel Marx

The linear model, in which a set of observations is assumed to be given by a linear combination of columns of a matrix, has long been the mainstay of the statistics and signal processing literature. One particular challenge for inference…

Statistics Theory · Mathematics 2018-03-06 Waheed U. Bajwa , Marco F. Duarte , Robert Calderbank

To accommodate the needs of large-scale distributed P2P systems, scalable data management strategies are required, allowing applications to efficiently cope with continuously growing, highly dis tributed data. This paper addresses the…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-09-30 Bogdan Nicolae , Gabriel Antoniu , Luc Bougé

This research concerns Learned Data Structures, a recent area that has emerged at the crossroad of Machine Learning and Classic Data Structures. It is methodologically important and with a high practical impact. We focus on Learned Indexes,…

Data Structures and Algorithms · Computer Science 2023-09-06 Domenico Amato , Giosué Lo Bosco , Raffaele Giancarlo

Data availability is one of the most important features in distributed storage systems, made possible by data replication. Nowadays data are generated rapidly and the goal to develop efficient, scalable and reliable storage systems has…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-02-01 Chryssis Georgiou , Nicolas Nicolaou , Andria Trigeorgi

In a realistic distributed storage environment, storage nodes are usually placed in racks, a metallic support designed to accommodate electronic equipment. It is known that the communication (bandwidth) cost between nodes which are in the…

Information Theory · Computer Science 2013-02-25 Bernat Gastón , Jaume Pujol , Mercè Villanueva

Several methods for generating random Steiner triple systems (STSs) have been proposed in the literature, such as Stinson's hill-climbing algorithm and Cameron's algorithm, but these are not yet completely understood. Those algorithms, as…

Combinatorics · Mathematics 2023-05-09 Daniel Heinlein , Patric R. J. Östergård

Trades, introduced by Hedayat, are two sets of blocks of elements which may be exchanged (traded) without altering the counts of certain subcollections of elements within their constituent blocks. They are of importance in applications…

Combinatorics · Mathematics 2022-05-17 Chao Pan , Ryan Gabrys , Xujun Liu , Charles Colbourn , Olgica Milenkovic

A primary challenge in metagenomics is reconstructing individual microbial genomes from the mixture of short fragments created by sequencing. Recent work leverages the sparsity of the assembly graph to find $r$-dominating sets which enable…

Data Structures and Algorithms · Computer Science 2023-01-24 Yosuke Mizutani , Annie Staker , Blair D. Sullivan

We study the task of maximizing rewards from recommending items (actions) to users sequentially interacting with a recommender system. Users are modeled as latent mixtures of C many representative user classes, where each class specifies a…

Machine Learning · Computer Science 2016-09-07 Aditya Gopalan , Odalric-Ambrym Maillard , Mohammadi Zaki

In the present paper we study a sparse stochastic network enabled with a block structure. The popular Stochastic Block Model (SBM) and the Degree Corrected Block Model (DCBM) address sparsity by placing an upper bound on the maximum…

Machine Learning · Statistics 2021-10-08 Majid Noroozi , Marianna Pensky , Ramchandra Rimal

Software-defined networking (SDN) and software-defined flash (SDF) have been serving as the backbone of modern data centers. They are managed separately to handle I/O requests. At first glance, this is a reasonable design by following the…

Operating Systems · Computer Science 2023-09-14 Benjamin Reidys , Yuqi Xue , Daixuan Li , Bharat Sukhwani , Wen-mei Hwu , Deming Chen , Sameh Asaad , Jian Huang

A scalable algorithm for solving compact banded linear systems on distributed memory architectures is presented. The proposed method factorizes the original system into two levels of memory hierarchies, and solves it using parallel cyclic…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-05 Hang Song , Kristen V. Matsuno , Jacob R. West , Akshay Subramaniam , Aditya S. Ghate , Sanjiva K. Lele

The exponential growth of data necessitates distributed storage models, such as peer-to-peer systems and data federations. While distributed storage can reduce costs and increase reliability, the heterogeneity in storage capacity, I/O…

Regenerating codes allow distributed storage systems to recover from the loss of a storage node while transmitting the minimum possible amount of data across the network. We present a systematic computer search for optimal systematic…

Information Theory · Computer Science 2009-10-14 Daniel Cullina , Alexandros G. Dimakis , Tracey Ho

Bundling, the practice of jointly selling two or more products at a discount, is a widely used strategy in industry and a well examined concept in academia. Historically, the focus has been on theoretical studies in the context of…

Machine Learning · Computer Science 2020-02-04 Madhav Kumar , Dean Eckles , Sinan Aral

In multi-label classification, where a single example may be associated with several class labels at the same time, the ability to model dependencies between labels is considered crucial to effectively optimize non-decomposable evaluation…

Machine Learning · Computer Science 2021-06-23 Michael Rapp , Eneldo Loza Mencía , Johannes Fürnkranz , Eyke Hüllermeier

In this article, we construct a Steiner system with the parameters $S(3,6,42)$, settling one of the smallest open parameter sets of Steiner $3$-designs. Furthermore, we establish the existence of rotational Steiner quadruple systems on $46$…

Combinatorics · Mathematics 2025-09-30 Michael Kiermaier , Vedran Krčadinac , Alfred Wassermann

Peer-to-peer distributed storage systems provide reliable access to data through redundancy spread over nodes across the Internet. A key goal is to minimize the amount of bandwidth used to maintain that redundancy. Storing a file using an…

Information Theory · Computer Science 2007-07-13 Alexandros G. Dimakis , P. Brighten Godfrey , Martin J. Wainwright , Kannan Ramchandran