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A novel heuristic approach is proposed here for time series data analysis, dubbed Generalized weighted permutation entropy, which amalgamates and generalizes beyond their original scope two well established data analysis methods:…

统计力学 · 物理学 2022-10-19 Darko Stosic , Dusan Stosic , Tatijana Stosic , Borko Stosic

We develop an algorithm that finds the consensus of many different clustering solutions of a graph. We formulate the problem as a median set partitioning problem and propose a greedy optimization technique. Unlike other approaches that find…

Multicore parallel programming has some very difficult problems such as deadlocks during synchronizations and race conditions brought by concurrency. Added to the difficulty is the lack of a simple, well-accepted computing model for…

编程语言 · 计算机科学 2010-12-09 Yibing Wang

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

We present a space and time efficient practical parallel algorithm for approximating the diameter of massive weighted undirected graphs on distributed platforms supporting a MapReduce-like abstraction. The core of the algorithm is a…

分布式、并行与集群计算 · 计算机科学 2015-11-10 Matteo Ceccarello , Andrea Pietracaprina , Geppino Pucci , Eli Upfal

Standard Gaussian Process (GP) regression, a powerful machine learning tool, is computationally expensive when it is applied to large datasets, and potentially inaccurate when data points are sparsely distributed in a high-dimensional…

机器学习 · 计算机科学 2016-03-08 Z. Zhang , K. Duraisamy , N. A. Gumerov

While Strassen's matrix multiplication algorithm reduces the complexity of naive matrix multiplication, general-purpose hardware is not suitable for achieving the algorithm's promised theoretical speedups. This leaves the question of if it…

硬件体系结构 · 计算机科学 2025-02-17 Trevor E. Pogue , Nicola Nicolici

The problem of verifying multi-threaded execution against the memory consistency model of a processor is known to be an NP hard problem. However polynomial time algorithms exist that detect almost all failures in such execution. These are…

硬件体系结构 · 计算机科学 2007-05-23 Amitabha Roy , Stephan Zeisset , Charles J. Fleckenstein , John C. Huang

An extremely common bottleneck encountered in statistical learning algorithms is inversion of huge covariance matrices, examples being in evaluating Gaussian likelihoods for a large number of data points. We propose general parallel…

统计方法学 · 统计学 2013-12-09 Anjishnu Banerjee , Joshua Vogelstein , David Dunson

In the realm of big data and machine learning, data-parallel, distributed stochastic algorithms have drawn significant attention in the present days.~While the synchronous versions of these algorithms are well understood in terms of their…

最优化与控制 · 数学 2020-04-07 Atal Narayan Sahu , Aritra Dutta , Aashutosh Tiwari , Peter Richtárik

Stochastic optimization algorithms update models with cheap per-iteration costs sequentially, which makes them amenable for large-scale data analysis. Such algorithms have been widely studied for structured sparse models where the sparsity…

机器学习 · 计算机科学 2019-05-10 Baojian Zhou , Feng Chen , Yiming Ying

Numerical solution of partial differential equations on parallel computers using domain decomposition usually requires synchronization and communication among the processors. These operations often have a significant overhead in terms of…

分布式、并行与集群计算 · 计算机科学 2023-01-11 Soumyadip Ghosh , Jiacai Lu , Vijay Gupta , Gretar Tryggvason

The Massive Parallel Computing (MPC) model gained popularity during the last decade and it is now seen as the standard model for processing large scale data. One significant shortcoming of the model is that it assumes to work on static…

分布式、并行与集群计算 · 计算机科学 2019-05-23 Giuseppe F. Italiano , Silvio Lattanzi , Vahab S. Mirrokni , Nikos Parotsidis

We developed a flexible parallel algorithm for graph summarization based on vertex-centric programming and parameterized message passing. The base algorithm supports infinitely many structural graph summary models defined in a formal…

数据结构与算法 · 计算机科学 2022-11-07 Till Blume , Jannik Rau , David Richerby , Ansgar Scherp

In this paper, we consider the HLS implementation of a three-dimensional systolic array architecture for matrix multiplication that targets specific characteristics of Intel Stratix 10 FPGAs in order to produce designs that achieve a high…

硬件体系结构 · 计算机科学 2021-10-25 Paolo Gorlani , Christian Plessl

Counting triangles in a graph and incident to each vertex is a fundamental and frequently considered task of graph analysis. We consider how to efficiently do this for huge graphs using massively parallel distributed-memory machines.…

分布式、并行与集群计算 · 计算机科学 2023-07-24 Peter Sanders , Tim Niklas Uhl

This paper presents an asynchronous incremental aggregated gradient algorithm and its implementation in a parameter server framework for solving regularized optimization problems. The algorithm can handle both general convex (possibly…

最优化与控制 · 数学 2016-10-19 Arda Aytekin , Hamid Reza Feyzmahdavian , Mikael Johansson

Matrix multiplication is a foundational operation in scientific computing and machine learning, yet its computational complexity makes it a significant bottleneck for large-scale applications. The shift to parallel architectures, primarily…

分布式、并行与集群计算 · 计算机科学 2025-07-30 Mufakir Qamar Ansari , Mudabir Qamar Ansari

The recently developed Hierarchical Poincar\'e-Steklov (HPS) method is a high-order discretization technique that comes with a direct solver. Results from previous papers demonstrate the method's ability to solve Helmholtz problems to high…

数值分析 · 数学 2019-04-29 Natalie Beams , Adrianna Gillman , Russell J. Hewett

We present efficient and scalable parallel algorithms for performing mathematical operations for low-rank tensors represented in the tensor train (TT) format. We consider algorithms for addition, elementwise multiplication, computing norms…

数值分析 · 数学 2021-09-08 Hussam Al Daas , Grey Ballard , Peter Benner