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This paper details an extensible OpenCL framework that allows Stan to utilize heterogeneous compute devices. It includes GPU-optimized routines for the Cholesky decomposition, its derivative, other matrix algebra primitives and some…

Mathematical Software · Computer Science 2020-05-19 Rok Češnovar , Steve Bronder , Davor Sluga , Jure Demšar , Tadej Ciglarič , Sean Talts , Erik Štrumbelj

Parallel computing is a standard approach to achieving high-performance computing (HPC). Three commonly used methods to implement parallel computing include: 1) applying multithreading technology on single-core or multi-core CPUs; 2)…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-09-18 Xinyao Yi

Since the first idea of using GPU to general purpose computing, things have evolved over the years and now there are several approaches to GPU programming. GPU computing practically began with the introduction of CUDA (Compute Unified…

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

Contemporary GPUs allow concurrent execution of small computational kernels in order to prevent idling of GPU resources. Despite the potential concurrency between independent kernels, the order in which kernels are issued to the GPU will…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-11-26 Teng Li , Vikram K. Narayana , Tarek El-Ghazawi

We present a case-study on the utility of graphics cards to perform massively parallel simulation of advanced Monte Carlo methods. Graphics cards, containing multiple Graphics Processing Units (GPUs), are self-contained parallel…

Computation · Statistics 2015-05-05 Anthony Lee , Christopher Yau , Michael B. Giles , Arnaud Doucet , Christopher C. Holmes

In this work, we present an extension of Gaussian process (GP) models with sophisticated parallelization and GPU acceleration. The parallelization scheme arises naturally from the modular computational structure w.r.t. datapoints in the…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-10-21 Zhenwen Dai , Andreas Damianou , James Hensman , Neil Lawrence

We present a simple and robust construction of a real-time quantum random number generator (QRNG). Our minimalist approach ensures stable operation of the device as well as its simple and straightforward hardware implementation as a…

Quantum Physics · Physics 2023-07-19 K. S. Kravtsov , I. V. Radchenko , S. P. Kulik , S. N. Molotkov

Even though in recent years the scale of statistical analysis problems has increased tremendously, many statistical software tools are still limited to single-node computations. However, statistical analyses are largely based on dense…

Computation · Statistics 2016-11-01 Rodrigo Canales , Elmar Peise , Paolo Bientinesi

This paper has a practical aim. For a long time, implementations of pseudorandom number generators in standard libraries of programming languages had poor quality. The situation started to improve only recently. Up to now, a large number of…

Mathematical Software · Computer Science 2020-04-21 Migran N. Gevorkyan , Dmitry S. Kulyabov , Anastasia V. Demidova , Anna V. Korolkova

True random number generator (TRNG) plays a vital role in a variety of security applications and protocols. The security and privacy of an asset rely on the encryption, which solely depends on the quality of random numbers. Memory chips are…

Cryptography and Security · Computer Science 2019-03-27 B. M. S. Bahar Talukder , Joseph Kerns , Biswajit Ray , Thomas Morris , Md Tauhidur Rahman

Quantum computing enables parallelism through superposition and entanglement and offers advantages over classical computing architectures. However, due to the limitations of current quantum hardware in the noisy intermediate-scale quantum…

Quantum Physics · Physics 2025-09-09 Guolong Zhong , Yi Fan , Zhenyu Li

We present a new adaptive parallel algorithm for the challenging problem of multi-dimensional numerical integration on massively parallel architectures. Adaptive algorithms have demonstrated the best performance, but efficient many-core…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-24 Ioannis Sakiotis , Kamesh Arumugam , Marc Paterno , Desh Ranjan , Balša Terzić , Mohammad Zubair

A novel Mathematical Random Number Generator (MRNG) is presented here. In this case, "mathematical" refers to the fact that to construct that generator it is not necessary to resort to a physical phenomenon, such as the thermal noise of an…

Numerical Analysis · Computer Science 2012-11-22 Osvaldo Skliar , Ricardo E. Monge , Sherry Gapper , Guillermo Oviedo

Linear Programming (LP) is a foundational optimization technique with widespread applications in finance, energy trading, and supply chain logistics. However, traditional Central Processing Unit (CPU)-based LP solvers often struggle to meet…

Optimization and Control · Mathematics 2025-08-26 Xiyan Hu , Titus Parker , Connor Phillips , Yifa Yu

Random number generators (RNGs) are notoriously challenging to build and test, especially for cryptographic applications. While statistical tests cannot definitively guarantee an RNG's output quality, they are a powerful verification tool…

Cryptography and Security · Computer Science 2025-01-10 Cameron Foreman , Richie Yeung , Florian J. Curchod

Many techniques in program synthesis, superoptimization, and array programming require parallel rollouts of general-purpose programs. GPUs, while capable targets for domain-specific parallelism, are traditionally underutilized by such…

Programming Languages · Computer Science 2026-04-15 Breandan Considine

We present a new version of TRQS package for Mathematica computing system. The package allows harnessing quantum random number generators (QRNG) for investigating the statistical properties of quantum states. It implements a number of…

Computational Physics · Physics 2012-10-15 J. A. Miszczak

Pseudo-Random Numbers Generators (PRNGs) are algorithms produced to generate long sequences of statistically uncorrelated numbers, i.e. Pseudo-Random Numbers (PRNs). These numbers are widely employed in mid-level cryptography and in…

Cryptography and Security · Computer Science 2019-12-30 Luca Pasqualini , Maurizio Parton

Random numbers are essential for our modern information based society e.g. in cryptography. Unlike frequently used pseudo-random generators, physical random number generators do not depend on complex algorithms but rather on a physical…

Quantum Physics · Physics 2015-06-11 Mario Stipčević , Rupert Ursin

It is time-consuming and error-prone to implement inference procedures for each new probabilistic model. Probabilistic programming addresses this problem by allowing a user to specify the model and having a compiler automatically generate…

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