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We study parallel algorithms for the minimisation and equivalence checking of Deterministic Finite Automata (DFAs). Regarding DFA minimisation, we implement four different massively parallel algorithms on Graphics Processing Units~(GPUs).…

Formal Languages and Automata Theory · Computer Science 2025-08-29 Jan Heemstra , Jan Martens , Anton Wijs

Nowadays, the paradigm of parallel computing is changing. CUDA is now a popular programming model for general purpose computations on GPUs and a great number of applications were ported to CUDA obtaining speedups of orders of magnitude…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-02-09 Bogdan Oancea , Tudorel Andrei

Edge computing's growing prominence, due to its ability to reduce communication latency and enable real-time processing, is promoting the rise of high-performance, heterogeneous System-on-Chip solutions. While current approaches often…

Artificial Intelligence · Computer Science 2024-09-24 Rakshith Jayanth , Neelesh Gupta , Viktor Prasanna

Optimization of searching the best possible action depending on various states like state of environment, system goal etc. has been a major area of study in computer systems. In any search algorithm, searching best possible solution from…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-10 Shubhendra Pal Singhal , M. Sridevi

Designing problems using matrices is very important in Computer Science. Fields like graph computer, graphs theory, and machine learning use matrices very often to solve their own problems. The most often matrix operation is the…

Performance · Computer Science 2019-05-10 Andre G. C. Pacheco

Despite the prominence of neural network approaches in the field of recommender systems, simple methods such as matrix factorization with quadratic loss are still used in industry for several reasons. These models can be trained with…

Information Retrieval · Computer Science 2022-05-24 Dmitrii Beloborodov , Andrei Zimovnov , Petr Molodyk , Dmitrii Kirillov

We investigate a parallelization strategy for dense matrix factorization (DMF) algorithms, using OpenMP, that departs from the legacy (or conventional) solution, which simply extracts concurrency from a multithreaded version of BLAS. This…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-04-20 Sandra Catalán , Adrián Castelló , Francisco D. Igual , Rafael Rodríguez-Sánchez , Enrique S. Quintana-Ortí

We provide a preliminary study on utilizing GPU (Graphics Processing Unit) to accelerate computation for three simulation optimization tasks with either first-order or second-order algorithms. Compared to the implementation using only CPU…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-19 Jinghai He , Haoyu Liu , Yuhang Wu , Zeyu Zheng , Tingyu Zhu

Symmetric Nonnegative Matrix Factorization (SymNMF) is a technique in data analysis and machine learning that approximates a symmetric matrix with a product of a nonnegative, low-rank matrix and its transpose. To design faster and more…

Machine Learning · Computer Science 2024-12-02 Koby Hayashi , Sinan G. Aksoy , Grey Ballard , Haesun Park

Data often comes in the form of an array or matrix. Matrix factorization techniques attempt to recover missing or corrupted entries by assuming that the matrix can be written as the product of two low-rank matrices. In other words, matrix…

Machine Learning · Computer Science 2015-12-16 Gintare Karolina Dziugaite , Daniel M. Roy

Constrained low-rank matrix approximations have been known for decades as powerful linear dimensionality reduction techniques to be able to extract the information contained in large data sets in a relevant way. However, such low-rank…

Machine Learning · Computer Science 2021-12-20 Pierre De Handschutter , Nicolas Gillis , Xavier Siebert

Standard rank-revealing factorizations such as the singular value decomposition and column pivoted QR factorization are challenging to implement efficiently on a GPU. A major difficulty in this regard is the inability of standard algorithms…

Numerical Analysis · Mathematics 2023-05-23 Nathan Heavner , Chao Chen , Abinand Gopal , Per-Gunnar Martinsson

An efficient error reconciliation scheme is important for post-processing of quantum key distribution (QKD). Recently, a multi-matrix low-density parity-check codes based reconciliation algorithm which can provide remarkable perspectives…

Quantum Physics · Physics 2020-01-23 Yu Guo , Chaohui Gao , Dong Jiang , Lijun Chen

Matrix multiplication is fundamental in the backpropagation algorithm used to train deep neural network models. Libraries like Intel's MKL or NVIDIA's cuBLAS implemented new and optimized matrix multiplication techniques that increase…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-28 L. A. Torres , Carlos J. Barrios H , Yves Denneulin

As in various fields like scientific research and industrial application, the computation time optimization is becoming a task that is of increasing importance because of its highly parallel architecture. The graphics processing unit is…

Performance · Computer Science 2017-10-18 Huichao Hong , Lixin Zheng , Shuwan Pan

We develop a novel parallel resampling algorithm for fully parallelized particle filters, which is designed with GPUs (graphics processing units) or similar parallel computing devices in mind. With our new algorithm, a full cycle of…

Computation · Statistics 2016-08-17 Kenichiro McAlinn , Teruo Nakatsuma

Maximal Biclique Enumeration (MBE) holds critical importance in graph theory with applications extending across fields such as bioinformatics, social networks, and recommendation systems. However, its computational complexity presents…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-23 Chou-Ying Hsieh , Chia-Ming Chang , Po-Hsiu Cheng , Sy-Yen Kuo

Process mapping asks to assign vertices of a task graph to processing elements of a supercomputer such that the computational workload is balanced while the communication cost is minimized. Motivated by the recent success of GPU-based graph…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-16 Petr Samoldekin , Christian Schulz , Henning Woydt

Multiplication is a core operation in modern neural network (NN) computations, contributing significantly to energy consumption. The linear-complexity multiplication (L-Mul) algorithm is specifically proposed as an approximate…

Hardware Architecture · Computer Science 2024-12-30 Ruiqi Chen , Yangxintong Lyu , Han Bao , Bruno da Silva

Modeling multimetallic systems efficiently enables faster prediction of desirable chemical properties and design of new materials. This work describes an initial implementation for performing multireference wave function method localized…

Computational Physics · Physics 2025-05-08 Valay Agarawal , Rishu Khurana , Cong Liu , Matthew R. Hermes , Christopher Knight , Laura Gagliardi
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