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Minimum Spanning Tree (MST) is an important graph algorithm that has wide ranging applications in the areas of computer networks, VLSI routing, wireless communications among others. Today virtually every computer is built out of multi-core…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-15 Suryanarayana Murthy Durbhakula

Subspace clustering (SC) is a popular method for dimensionality reduction of high-dimensional data, where it generalizes Principal Component Analysis (PCA). Recently, several methods have been proposed to enhance the robustness of PCA and…

Data Structures and Algorithms · Computer Science 2015-06-09 Sanghyuk Chun , Yung-Kyun Noh , Jinwoo Shin

Markov Chain Monte Carlo (MCMC) algorithms are essential tools in computational statistics for sampling from unnormalised probability distributions, but can be fragile when targeting high-dimensional, multimodal, or complex target…

Stochastic differential equation mixed-effects models (SDEMEMs) are flexible hierarchical models that are able to account for random variability inherent in the underlying time-dynamics, as well as the variability between experimental units…

Computation · Statistics 2021-01-22 Samuel Wiqvist , Andrew Golightly , Ashleigh T. McLean , Umberto Picchini

Sorting is one of the most fundamental problems in the field of computer science. With the rapid development of manycore processors, it shows great importance to design efficient parallel sort algorithm on manycore architecture. This paper…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-02-18 Tianyi Yu , Wei Li

This article presents a new high-level parallel computational model named BSF - Bulk Synchronous Farm. The BSF model extends the BSP model to deal with the compute-intensive iterative numerical methods executed on distributed-memory…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-29 Leonid B. Sokolinsky

Stencil computation is essential in high-performance computing, especially for large-scale tasks like liquid simulation and weather forecasting. Optimizing its performance can reduce both energy consumption and computation time, which is…

Performance · Computer Science 2025-03-04 Hongguang Chen

Stochastic differential equations (SDEs) are widely used to model systems affected by random processes. In general, the analysis of an SDE model requires numerical solutions to be generated many times over multiple parameter combinations.…

Mathematical Software · Computer Science 2020-02-19 Eleftherios Avramidis , Marta Lalik , Ozgur E. Akman

Sparse Tucker Decomposition (STD) algorithms learn a core tensor and a group of factor matrices to obtain an optimal low-rank representation feature for the \underline{H}igh-\underline{O}rder, \underline{H}igh-\underline{D}imension, and…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-09 Hao Li , Zixuan Li , Kenli Li , Jan S. Rellermeyer , Lydia Y. Chen , Keqin Li

We engineer algorithms for sorting huge data sets on massively parallel machines. The algorithms are based on the multiway merging paradigm. We first outline an algorithm whose I/O requirement is close to a lower bound. Thus, in contrast to…

Data Structures and Algorithms · Computer Science 2009-10-15 Mirko Rahn , Peter Sanders , Johannes Singler

Major chip manufacturers have all introduced multicore microprocessors. Multi-socket systems built from these processors are routinely used for running various server applications. Depending on the application that is run on the system,…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-09-25 Murthy Durbhakula

We consider the design of efficient algorithms for a multicore computing environment with a global shared memory and p cores, each having a cache of size M, and with data organized in blocks of size B. We characterize the class of…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-03-22 Richard Cole , Vijaya Ramachandran

We present and analyze a new space-time parallel multigrid method for parabolic equations. The method is based on arbitrarily high order discontinuous Galerkin discretizations in time, and a finite element discretization in space. The key…

Numerical Analysis · Mathematics 2014-11-04 Martin J. Gander , Martin Neumüller

Numerical investigation of compressible flows faces two main challenges. In order to accurately describe the flow characteristics, high-resolution nonlinear numerical schemes are needed to capture discontinuities and resolve wide…

Computational Physics · Physics 2020-12-09 Nils Hoppe , Stefan Adami , Nikolaus A. Adams

The implementation of a vast majority of machine learning (ML) algorithms boils down to solving a numerical optimization problem. In this context, Stochastic Gradient Descent (SGD) methods have long proven to provide good results, both in…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-10-06 Janis Keuper , Franz-Josef Pfreundt

Multicore architectures dominate today's processor market. Even though the number of cores and threads are pretty high and continues to grow, inherently serial algorithms do not benefit from the abundance of cores and threads. In this…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-21 Mohammad Bakhshalipour , Hamid Sarbazi-Azad

The key common bottleneck in most stencil codes is data movement, and prior research has shown that improving data locality through optimisations that schedule across loops do particularly well. However, in many large PDE applications it is…

Performance · Computer Science 2017-11-30 Istvan Z Reguly , Gihan R Mudalige , Mike B Giles

Conventional cache models are not suited for real-time parallel processing because tasks may flush each other's data out of the cache in an unpredictable manner. In this way the system is not compositional so the overall performance is…

Hardware Architecture · Computer Science 2011-11-09 A. M. Molnos , M. J. M. Heijligers , S. D. Cotofana , J. T. J. Van Eijndhoven

Stencil codes are performance-critical in many compute-intensive applications, but suffer from significant address calculation and irregular memory access overheads. This work presents SARIS, a general and highly flexible methodology for…

Mathematical Software · Computer Science 2024-04-09 Paul Scheffler , Luca Colagrande , Luca Benini

Efficient sampling of many-dimensional and multimodal density functions is a task of great interest in many research fields. We describe an algorithm that allows parallelizing inherently serial Markov chain Monte Carlo (MCMC) sampling by…

Computation · Statistics 2020-08-10 Vasyl Hafych , Philipp Eller , Oliver Schulz , Allen Caldwell