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In recent years, data have become increasingly higher dimensional and, therefore, an increased need has arisen for dimension reduction techniques for clustering. Although such techniques are firmly established in the literature for…

统计方法学 · 统计学 2019-09-30 Michael P. B. Gallaugher , Paul D. McNicholas

We propose a theoretical framework of multi-way similarity to model real-valued data into hypergraphs for clustering via spectral embedding. For graph cut based spectral clustering, it is common to model real-valued data into graph by…

机器学习 · 计算机科学 2022-08-17 Shota Saito

This paper studies a fundamental algorithmic problem related to the design of demand-aware networks: networks whose topologies adjust toward the traffic patterns they serve, in an online manner. The goal is to strike a tradeoff between the…

数据结构与算法 · 计算机科学 2020-04-07 Chen Avin , Kaushik Mondal , Stefan Schmid

We propose a regularized saddle-point algorithm for convex networked optimization problems with resource allocation constraints. Standard distributed gradient methods suffer from slow convergence and require excessive communication when…

系统与控制 · 计算机科学 2012-08-16 Andrea Simonetto , Tamas Keviczky , Mikael Johansson

The problem of multiway partitioning of an undirected graph is considered. A spectral method is used, where the k > 2 largest eigenvalues of the normalized adjacency matrix (equivalently, the k smallest eigenvalues of the normalized graph…

数值分析 · 数学 2023-02-08 Lars Eldén

Sketching is one of the most fundamental tools in large-scale machine learning. It enables runtime and memory saving via randomly compressing the original large problem into lower dimensions. In this paper, we propose a novel sketching…

机器学习 · 计算机科学 2023-06-08 Zhao Song , Yitan Wang , Zheng Yu , Lichen Zhang

Dynamic adaptation has become an essential technique in accelerating distributed machine learning (ML) training. Recent studies have shown that dynamically adjusting model structure (e.g., lottery ticket hypothesis) or hyperparameters…

分布式、并行与集群计算 · 计算机科学 2022-10-04 Pengfei Zheng , Rui Pan , Tarannum Khan , Shivaram Venkataraman , Aditya Akella

MapReduce has become the de facto standard model for designing distributed algorithms to process big data on a cluster. There has been considerable research on designing efficient MapReduce algorithms for clustering, graph optimization, and…

数据结构与算法 · 计算机科学 2018-06-19 Nicholas J. A. Harvey , Christopher Liaw , Paul Liu

A significant challenge for computation offloading in wireless multi-hop networks is the complex interaction among traffic flows in the presence of interference. Existing approaches often ignore these key effects and/or rely on outdated…

网络与互联网体系结构 · 计算机科学 2025-01-28 Zhongyuan Zhao , Jake Perazzone , Gunjan Verma , Kevin Chan , Ananthram Swami , Santiago Segarra

The extension of persistent homology to multi-parameter setups is an algorithmic challenge. Since most computation tasks scale badly with the size of the input complex, an important pre-processing step consists of simplifying the input…

代数拓扑 · 数学 2019-03-19 Ulderico Fugacci , Michael Kerber

We study shortest-path routing in large weighted, undirected graphs, where expanding search frontiers raise time and memory costs for exact solvers. We propose \emph{SPHERE}, a query-aware partitioning heuristic that adaptively splits the…

分布式、并行与集群计算 · 计算机科学 2026-03-16 Robert Fabian Lindermann , Paul-Niklas Ken Kandora , Simon Caspar Zeller , Adrian Asmund Fessler , Steffen Rebennack

We develop a sketching algorithm to find the point on the convex hull of a dataset, closest to a query point outside it. Studying the convex hull of datasets can provide useful information about their geometric structure and their…

微分几何 · 数学 2022-03-30 Roozbeh Yousefzadeh

In this paper, we study a number of well-known combinatorial optimization problems that fit in the following paradigm: the input is a collection of (potentially inconsistent) local relationships between the elements of a ground set (e.g.,…

数据结构与算法 · 计算机科学 2021-02-24 Vaggos Chatziafratis , Mohammad Mahdian , Sara Ahmadian

We develop a method for improving the parallel scalability of the recently developed parallel selected inversion algorithm [Jacquelin, Lin and Yang 2014], named PSelInv, on massively parallel distributed memory machines. In the PSelInv…

分布式、并行与集群计算 · 计算机科学 2015-04-21 Mathias Jacquelin , Lin Lin , Nathan Wichmann , Chao Yang

Graph clustering aims at discovering a natural grouping of the nodes such that similar nodes are assigned to a common cluster. Many different algorithms have been proposed in the literature: for simple graphs, for graphs with attributes…

机器学习 · 计算机科学 2023-11-06 Ylli Sadikaj , Yllka Velaj , Sahar Behzadi , Claudia Plant

Many high-dimensional optimisation problems exhibit rich geometric structures in their set of minimisers, often forming smooth manifolds due to over-parametrisation or symmetries. When this structure is known, at least locally, it can be…

最优化与控制 · 数学 2025-10-27 Evan Markou , Thalaiyasingam Ajanthan , Stephen Gould

The Burrows-Wheeler transform (BWT) is a well studied text transformation widely used in data compression and text indexing. The BWT of two strings can also provide similarity measures between them, based on the observation that the more…

数据结构与算法 · 计算机科学 2020-09-10 Felipe A. Louza , Guilherme P. Telles , Simon Gog , Liang Zhao

The Join operator, as one of the most expensive and commonly used operators in database systems, plays a substantial role in Database Management System (DBMS) performance. Among the many different Join algorithms studied over the last…

数据库 · 计算机科学 2021-12-07 Shiva Jahangiri , Michael J. Carey , Johann-Christoph Freytag

Large scale clusters leveraging distributed computing frameworks such as MapReduce routinely process data that are on the orders of petabytes or more. The sheer size of the data precludes the processing of the data on a single computer. The…

信息论 · 计算机科学 2018-02-12 Konstantinos Konstantinidis , Aditya Ramamoorthy

Supercomputers getting ever larger and energy-efficient is at odds with the reliability of the used hardware. Thus, the time intervals between component failures are decreasing. Contrarily, the latencies for individual operations of…

分布式、并行与集群计算 · 计算机科学 2024-11-26 Demian Hespe , Lukas Hübner , Charel Mercatoris , Peter Sanders