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This paper introduces a parallel implementation in CUDA/C++ of the Gaussian process with a decomposed kernel. This recent formulation, introduced by Joukov and Kuli\'c (2022), is characterized by an approximated -- but much smaller --…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-03-20 Davide Carminati

Sparse tensor algebra is challenging to efficiently parallelize due to the irregular, data-dependent, and potentially skewed structure of sparse computation. We propose the first partitioning algorithm that provably load balances the…

Programming Languages · Computer Science 2026-04-23 Atharva Chougule , Alexander J Root , Rubens Lacouture , Bobby Yan , Rohan Yadav , Fredrik Kjolstad

Large-scale, parallel clusters composed of commodity processors are increasingly available, enabling the use of vast processing capabilities and distributed RAM to solve hard search problems. We investigate Hash-Distributed A* (HDA*), a…

Artificial Intelligence · Computer Science 2015-03-20 Akihiro Kishimoto , Alex Fukunaga , Adi Botea

The growth in the use of computationally intensive statistical procedures, especially with Big Data, has necessitated the usage of parallel computation on diverse platforms such as multicore, GPU, clusters and clouds. However, slowdown due…

Computation · Statistics 2014-09-23 Norman Matloff

The most efficient way to calculate strong bisimilarity is by calculation the relational coarsest partition on a transition system. We provide the first linear time algorithm to calculate strong bisimulation using parallel random access…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-05-26 Jan Martens , Jan Friso Groote , Lars van den Haak , Pieter Hijma , Anton Wijs

This paper proposes the hardware implementation of RSA encryption/decryption algorithm using the algorithms of Ancient Indian Vedic Mathematics that have been modified to improve performance. The recently proposed hierarchical overlay…

Hardware Architecture · Computer Science 2007-05-23 Himanshu Thapliyal , M. B Srinivas

Principal component analysis (PCA) is an essential algorithm for dimensionality reduction in many data science domains. We address the problem of performing a federated PCA on private data distributed among multiple data providers while…

The quantum machine learning model is emerging as a new model that merges quantum computing and machine learning. Simulating very deep quantum machine learning models requires a lot of resources, increasing exponentially based on the number…

Quantum Physics · Physics 2025-02-18 Vu Tuan Hai , Le Vu Trung Duong , Pham Hoai Luan , Yasuhiko Nakashima

We propose new sequential sorting operations by adapting techniques and methods used for designing parallel sorting algorithms. Although the norm is to parallelize a sequential algorithm to improve performance, we adapt a contrarian…

Data Structures and Algorithms · Computer Science 2016-09-01 Alexandros V Gerbessiotis

Scaling the size of language models to tens of billions of parameters has led to impressive performance on a wide range of tasks. At generation, these models are used auto-regressively, requiring a forward pass for each generated token, and…

Computation and Language · Computer Science 2023-11-23 Giovanni Monea , Armand Joulin , Edouard Grave

In the last decade, academic and industrial researchers have focused on persistent memory because of the development of the first practical product, Intel Optane. One of the main challenges of persistent memory programming is to guarantee…

Databases · Computer Science 2024-04-03 Kento Sugiura , Manabu Nishimura , Yoshiharu Ishikawa

In this paper we propose a new iterative algorithm to solve the fair PCA (FPCA) problem. We start with the max-min fair PCA formulation originally proposed in [1] and derive a simple and efficient iterative algorithm which is based on the…

Machine Learning · Statistics 2023-05-11 Prabhu Babu , Petre Stoica

Pseudo-arclength continuation is a well-established method for generating a numerical curve approximating the solution of an underdetermined system of nonlinear equations. It is an inherently sequential predictor-corrector method in which…

Numerical Analysis · Mathematics 2013-12-13 Dhavide Aruliah , Lennaert van Veen , Alex Dubitski

This work aims to improve the sample efficiency of parallel large-scale ranking and selection (R&S) problems by leveraging correlation information. We modify the commonly used "divide and conquer" framework in parallel computing by adding a…

Methodology · Statistics 2026-02-16 Zishi Zhang , Yijie Peng

Primality generation is the cornerstone of several essential cryptographic systems. The problem has been a subject of deep investigations, but there is still a substantial room for improvements. Typically, the algorithms used have two parts…

Cryptography and Security · Computer Science 2022-03-07 Vassil Dimitrov , Luigi Vigneri , Vidal Attias

In this work, we optimize speculative sampling for parallel hardware accelerators to improve sampling speed. We notice that substantial portions of the intermediate matrices necessary for speculative sampling can be computed concurrently.…

Machine Learning · Computer Science 2024-10-04 Dominik Wagner , Seanie Lee , Ilja Baumann , Philipp Seeberger , Korbinian Riedhammer , Tobias Bocklet

DBSCAN is a very classic algorithm for data clus- tering, which is widely used in many fields. However, with the data scale growing much more bigger than before, the traditional serial algorithm can not meet the performance requirement.…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-06-09 Bingchen Wang , Chenglong Zhang , Lei Song , Lianhe Zhao , Yu Dou , Zihao Yu

Neural networks can synchronize by learning from each other. In the case of discrete weights full synchronization is achieved in a finite number of steps. Additional networks can be trained by using the inputs and outputs generated during…

Disordered Systems and Neural Networks · Physics 2007-11-16 Andreas Ruttor

Principal Component Analysis (PCA) is a popular method for dimension reduction and has attracted an unfailing interest for decades. More recently, kernel PCA (KPCA) has emerged as an extension of PCA but, despite its use in practice, a…

Machine Learning · Computer Science 2023-01-25 Maxime Haddouche , Benjamin Guedj , John Shawe-Taylor

Prime factorization has been a buzzing topic in the field of number theory since time unknown. However, in recent years, alternative avenues to tackle this problem are being explored by researchers because of its direct application in the…

General Mathematics · Mathematics 2024-07-09 Mahadee Al Mobin , Md Kamrujjaman
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