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Matrix factorization (MF) discovers latent features from observations, which has shown great promises in the fields of collaborative filtering, data compression, feature extraction, word embedding, etc. While many problem-specific…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-08-14 Wei Tan , Shiyu Chang , Liana Fong , Cheng Li , Zijun Wang , Liangliang Cao

Scientific programmers often turn to vendor-tuned Basic Linear Algebra Subprograms (BLAS) to obtain portable high performance. However, many numerical algorithms require several BLAS calls in sequence, and those successive calls result in…

Mathematical Software · Computer Science 2012-05-09 Geoffrey Belter , Elizabeth Jessup , Thomas Nelson , Boyana Norris , Jeremy G. Siek

LU-factorization of matrices is one of the fundamental algorithms of linear algebra. The widespread use of supercomputers with distributed memory requires a review of traditional algorithms, which were based on the common memory of a…

Symbolic Computation · Computer Science 2020-11-10 Gennadi Malaschonok

The current computer architecture has moved towards the multi/many-core structure. However, the algorithms in the current sequential dense numerical linear algebra libraries (e.g. LAPACK) do not parallelize well on multi/many-core…

Numerical Analysis · Computer Science 2013-03-14 Henricus Bouwmeester

A rising research challenge is running costly machine learning (ML) networks locally on resource-constrained edge devices. ML networks with large convolutional layers can easily exceed available memory, increasing latency due to excessive…

Machine Learning · Computer Science 2023-07-20 Jackson Farley , Andreas Gerstlauer

The rapid growth of large-scale machine learning (ML) models has led numerous commercial companies to utilize ML models for generating predictive results to help business decision-making. As two primary components in traditional predictive…

Performance · Computer Science 2024-01-25 Wenbo Sun , Asterios Katsifodimos , Rihan Hai

Multi-task learning, which optimizes performance across multiple tasks, is inherently a multi-objective optimization problem. Various algorithms are developed to provide discrete trade-off solutions on the Pareto front. Recently, continuous…

Machine Learning · Computer Science 2024-07-31 Weiyu Chen , James T. Kwok

Many tasks in data mining and related fields can be formalized as matching between objects in two heterogeneous domains, including collaborative filtering, link prediction, image tagging, and web search. Machine learning techniques,…

Machine Learning · Computer Science 2014-10-24 Jingbo Shang , Tianqi Chen , Hang Li , Zhengdong Lu , Yong Yu

Incomplete factorization is a powerful preconditioner for Krylov subspace methods for solving large-scale sparse linear systems. Existing incomplete factorization techniques, including incomplete Cholesky and incomplete LU factorizations,…

Numerical Analysis · Mathematics 2024-12-20 Aditi Ghai , Xiangmin Jiao

We present new algorithms to detect and correct errors in the lower-upper factorization of a matrix, or the triangular linear system solution, over an arbitrary field. Our main algorithms do not require any additional information or…

Symbolic Computation · Computer Science 2019-01-31 Jean-Guillaume Dumas , Joris Van Der Hoeven , Clément Pernet , Daniel Roche

Basic Linear Algebra Subprograms (BLAS) are a set of low level linear algebra kernels widely adopted by applications involved with the deep learning and scientific computing. The massive and economic computing power brought forth by the…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-10-20 Linnan Wang , Wei Wu , Jianxiong Xiao , Yi Yang

The pressing demands of improving energy efficiency for high performance scientific computing have motivated a large body of software-controlled hard- ware solutions using Dynamic Voltage and Frequency Scaling (DVFS) that strategically…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-04-03 Li Tan , Zizhong Chen

Shared memory programming models usually provide worksharing and task constructs. The former relies on the efficient fork-join execution model to exploit structured parallelism; while the latter relies on fine-grained synchronization among…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-08 M. Maronas , K. Sala , S. Mateo , E. Ayguadé , V. Beltran Barcelona Supercomputing Center

LU factorization for sparse matrices is the most important computing step for many engineering and scientific computing problems such as circuit simulation. But parallelizing LU factorization with the Graphic Processing Units (GPU) still…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-14 Shaoyi Peng , Sheldon X. -D. Tan

Meshless methods are used to solve partial differential equations by approximating differential operators at a node as a weighted sum of values at its neighbours. One of the algorithms for generating nodes suitable for meshless numerical…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-11 Jon Vehovar , Miha Rot , Matjaž Depolli , Gregor Kosec

Recent advancements in neural network quantisation have yielded remarkable outcomes, with three-bit networks reaching state-of-the-art full-precision accuracy in complex tasks. These achievements present valuable opportunities for…

Hardware Architecture · Computer Science 2024-03-19 Daniel Gerlinghoff , Benjamin Chen Ming Choong , Rick Siow Mong Goh , Weng-Fai Wong , Tao Luo

Cache partitioning techniques have been successfully adopted to mitigate interference among concurrently executing real-time tasks on multi-core processors. Considering that the execution time of a cache-sensitive task strongly depends on…

Hardware Architecture · Computer Science 2023-10-05 Binqi Sun , Debayan Roy , Tomasz Kloda , Andrea Bastoni , Rodolfo Pellizzoni , Marco Caccamo

For many applications, we are unable to take full advantage of the potential massive parallelisation offered by supercomputers or cloud computing because it is too hard to work out how to divide up the computation task between processors in…

Logic in Computer Science · Computer Science 2017-09-08 John C. McCabe-Dansted , Mark Reynolds

In this paper, we present several improvements in the parallelization of the in-place merge algorithm, which merges two contiguous sorted arrays into one with an O(T) space complexity (where T is the number of threads). The approach divides…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-27 Berenger Bramas , Quentin Bramas

Several methods exist today to accelerate Machine Learning(ML) or Deep-Learning(DL) model performance for training and inference. However, modern techniques that rely on various graph and operator parallelism methodologies rely on search…

Machine Learning · Computer Science 2023-08-23 Srinjoy Das , Lawrence Rauchwerger