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This paper describes the adaptation of a well-scaling parallel algorithm for computing Morse-Smale segmentations based on path compression to a distributed computational setting. Additionally, we extend the algorithm to efficiently compute…

分布式、并行与集群计算 · 计算机科学 2024-09-09 Michael Will , Jonas Lukasczyk , Julien Tierny , Christoph Garth

We introduce a code generator that converts unoptimized C++ code operating on sparse data into vectorized and parallel CPU or GPU kernels. Our approach unrolls the computation into a massive expression graph, performs redundant expression…

编程语言 · 计算机科学 2022-03-15 Philipp Herholz , Xuan Tang , Teseo Schneider , Shoaib Kamil , Daniele Panozzo , Olga Sorkine-Hornung

We consider the massively parallel computation (MPC) model, which is a theoretical abstraction of large-scale parallel processing models such as MapReduce. In this model, assuming the widely believed 1-vs-2-cycles conjecture, solving many…

数据结构与算法 · 计算机科学 2023-10-31 Yi-Jun Chang , Da Wei Zheng

Spectral graph sparsification aims to find ultra-sparse subgraphs whose Laplacian matrix can well approximate the original Laplacian eigenvalues and eigenvectors. In recent years, spectral sparsification techniques have been extensively…

数据结构与算法 · 计算机科学 2020-04-30 Zhuo Feng

Matrix factorization (MF) can extract the low-rank features and integrate the information of the data manifold distribution from high-dimensional data, which can consider the nonlinear neighbourhood information. Thus, MF has drawn wide…

分布式、并行与集群计算 · 计算机科学 2021-11-24 Zixuan Li , Hao Li , Kenli Li , Fan Wu , Lydia Chen , Keqin Li

We present a work-efficient parallel level-synchronous Breadth First Search (BFS) algorithm for shared-memory architectures which achieves the theoretical lower bound on parallel running time. The optimality holds regardless of the shape of…

分布式、并行与集群计算 · 计算机科学 2022-09-20 Jesmin Jahan Tithi , Yonatan Fogel , Rezaul Chowdhury

Processing graphs with temporal information (the temporal graphs) has become increasingly important in the real world. In this paper, we study efficient solutions to temporal graph applications using new algorithms for Incremental Minimum…

数据结构与算法 · 计算机科学 2025-05-13 Xiangyun Ding , Yan Gu , Yihan Sun

Simultaneous Embedding with Fixed Edges (SEFE) is a problem where given $k$ planar graphs we ask whether they can be simultaneously embedded so that the embedding of each graph is planar and common edges are drawn the same. Problems of SEFE…

When using graph transformation rules to implement graph algorithms, a challenge is to match the efficiency of programs in conventional languages. To help overcome that challenge, the graph programming language GP 2 features rooted rules…

编程语言 · 计算机科学 2020-12-07 Brian Courtehoute , Detlef Plump

Two approaches for graph based semi-supervised learning are proposed. The firstapproach is based on iteration of an affine map. A key element of the affine map iteration is sparsematrix-vector multiplication, which has several very…

机器学习 · 计算机科学 2015-09-07 Konstantin Avrachenkov , Vivek Borkar , Krishnakant Saboo

Several algorithmic meta-theorems on kernelization have appeared in the last years, starting with the result of Bodlaender et al. [FOCS 2009] on graphs of bounded genus, then generalized by Fomin et al. [SODA 2010] to graphs excluding a…

数据结构与算法 · 计算机科学 2014-11-21 Valentin Garnero , Christophe Paul , Ignasi Sau , Dimitrios M. Thilikos

The forest-of-octrees approach to parallel adaptive mesh refinement and coarsening (AMR) has recently been demonstrated in the context of a number of large-scale PDE-based applications. Although linear octrees, which store only leaf…

分布式、并行与集群计算 · 计算机科学 2015-11-05 Tobin Isaac , Carsten Burstedde , Lucas C. Wilcox , Omar Ghattas

Subgraph counting aims to count the occurrences of a subgraph template T in a given network G. The basic problem of computing structural properties such as counting triangles and other subgraphs has found applications in diverse domains.…

分布式、并行与集群计算 · 计算机科学 2019-03-12 Langshi Chen , Jiayu Li , Ariful Azad , Lei Jiang , Madhav Marathe , Anil Vullikanti , Andrey Nikolaev , Egor Smirnov , Ruslan Israfilov , Judy Qiu

In this paper, a novel framework of sparse kernel learning for Support Vector Data Description (SVDD) based anomaly detection is presented. In this work, optimal sparse feature selection for anomaly detection is first modeled as a Mixed…

机器学习 · 计算机科学 2015-06-09 Zhimin Peng , Prudhvi Gurram , Heesung Kwon , Wotao Yin

In this paper we consider the problem of computing an mRNA sequence of maximal similarity for a given mRNA of secondary structure constraints, introduced by Backofen et al. in [BNS02] denoted as the MRSO problem. The problem is known to be…

数据结构与算法 · 计算机科学 2007-05-23 Frank Gurski

We propose and analyze a novel framework for learning sparse representations, based on two statistical techniques: kernel smoothing and marginal regression. The proposed approach provides a flexible framework for incorporating feature…

机器学习 · 统计学 2012-10-04 Krishnakumar Balasubramanian , Kai Yu , Guy Lebanon

We parallelize several previously proposed algorithms for the minimum routing cost spanning tree problem and some related problems.

数据结构与算法 · 计算机科学 2007-07-04 Ching-Lueh Chang , Yuh-Dauh Lyuu

In this article, we study the Euclidean minimum spanning tree problem in an imprecise setup. The problem is known as the \emph{Minimum Spanning Tree Problem with Neighborhoods} in the literature. We study the problem where the neighborhoods…

计算几何 · 计算机科学 2021-04-12 Sanjana Dey , Ramesh K. Jallu , Subhas C. Nandy

A general framework of least squares support vector machine with low rank kernels, referred to as LR-LSSVM, is introduced in this paper. The special structure of low rank kernels with a controlled model size brings sparsity as well as…

机器学习 · 计算机科学 2019-10-22 Di Xu , Manjing Fang , Xia Hong , Junbin Gao

Data-intensive, graph-based computations are pervasive in several scientific applications, and are known to to be quite challenging to implement on distributed memory systems. In this work, we explore the design space of parallel algorithms…

分布式、并行与集群计算 · 计算机科学 2011-10-17 Aydin Buluc , Kamesh Madduri