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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

Quantum algorithms for computational linear algebra promise up to exponential speedups for applications such as simulation and regression, making them prime candidates for hardware realization. But these algorithms execute in a model that…

Programming Languages · Computer Science 2026-05-14 Charles Yuan

We discuss the opportunities for parallelization in the recently proposed QPALM-OCP algorithm, a solver tailored to quadratic programs arising in optimal control. A significant part of the computational work can be carried out independently…

Optimization and Control · Mathematics 2026-03-13 Pieter Pas , Kristoffer Fink Løwenstein , Daniele Bernardini , Panagiotis Patrinos

Knowledge graph embedding aims at translating the knowledge graph into numerical representations by transforming the entities and relations into continuous low-dimensional vectors. Recently, many methods [1, 5, 3, 2, 6] have been proposed…

Artificial Intelligence · Computer Science 2017-04-06 Xiao-Fan Niu , Wu-Jun Li

Quantum circuit execution is the central task in quantum computation. Due to inherent quantum-mechanical constraints, quantum computing workflows often involve a considerable number of independent measurements over a large set of slightly…

Quantum Physics · Physics 2024-06-06 Daniel Claudino , Dmitry I. Lyakh , Alexander J. McCaskey

Group invariants are used in high energy physics to define quantum field theory interactions. In this paper, we are presenting the parallel algebraic computation of special invariants called symplectic and even focusing on one particular…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-03-03 Joseph Ben Geloun , Camille Coti , Allen D. Malony

We explain how the popular, highly abstract MapReduce model of parallel computation (MRC) can be rooted in reality by explaining how it can be simulated on realistic distributed-memory parallel machine models like BSP. We first refine the…

Data Structures and Algorithms · Computer Science 2020-02-19 Peter Sanders

Based on the previously developed Energy Conserving Semi Implicit Method (ECsim) code, we present its cylindrical implementation, called ECsim-CYL, to be used for axially symmetric problems. The main motivation for the development of the…

Computational Physics · Physics 2019-02-20 Diego Gonzalez-Herrero , Alfredo Micera , Elisabetta Boella , Jaeyoung Park , Giovanni Lapenta

The efficient deployment of large language models (LLMs) is hindered by memory architecture heterogeneity, where traditional compilers suffer from fragmented workflows and high adaptation costs. We present nncase, an open-source, end-to-end…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-29 Hui Guo , Qihang Zheng , Chenghai Huo , Dongliang Guo , Haoqi Yang , Yang Zhang

Kernel methods in machine learning use a kernel function that takes two data points as input and returns their inner product after mapping them to a Hilbert space, implicitly and without actually computing the mapping. For many kernel…

Machine Learning · Computer Science 2024-10-17 Kamaledin Ghiasi-Shirazi , Mohammadreza Qaraei

Stochastic differential equations (SDEs) are widely used to model systems affected by random processes. In general, the analysis of an SDE model requires numerical solutions to be generated many times over multiple parameter combinations.…

Mathematical Software · Computer Science 2020-02-19 Eleftherios Avramidis , Marta Lalik , Ozgur E. Akman

In resent years, the software ecosystem for numerical simulation still remains fragmented, with different algorithms and discretization methods often implemented in isolation, each with distinct data structures and programming conventions.…

Numerical Analysis · Mathematics 2026-03-10 Yangyang Zheng , Huayi Wei , Yunqing Huang , Chunyu Chen , Tian Tian , Hanbin Liu , Wenbin Wang , Liang He

We present Calyx, a new intermediate language (IL) for compiling high-level programs into hardware designs. Calyx combines a hardware-like structural language with a software-like control flow representation with loops and conditionals.…

Programming Languages · Computer Science 2021-11-17 Rachit Nigam , Samuel Thomas , Zhijing Li , Adrian Sampson

The overall problem addressed in this paper is the long-standing problem of program correctness, and in particular programs that describe systems of parallel executing processes. We propose a new method for proving correctness of parallel…

Programming Languages · Computer Science 2023-02-10 Frank S. de Boer , Einar Broch Johnsen , Violet Ka I Pun , Silvia Lizeth Tapia Tarifa

Heterogeneous systems have become one of the most common architectures today, thanks to their excellent performance and energy consumption. However, due to their heterogeneity they are very complex to program and even more to achieve…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-26 Raúl Nozal , Jose Luis Bosque , Ramón Beivide

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…

Data Structures and Algorithms · Computer Science 2022-11-07 Till Blume , Jannik Rau , David Richerby , Ansgar Scherp

This work explores an unexpected application of Implicit Computational Complexity (ICC) to parallelize loops in imperative programs. Thanks to a lightweight dependency analysis, our algorithm allows splitting a loop into multiple loops that…

Programming Languages · Computer Science 2022-06-20 Clément Aubert , Thomas Rubiano , Neea Rusch , Thomas Seiller

The family of Multiscale Hybrid-Mixed (MHM) finite element methods has received considerable attention from the mathematics and engineering community in the last few years. The MHM methods allow solving highly heterogeneous problems on…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-03-31 Antonio Tadeu A. Gomes , Weslley S. Pereira , Frederic Valentin , Diego Paredes

We present a neural program synthesis approach integrating components which write, execute, and assess code to navigate the search space of possible programs. We equip the search process with an interpreter or a read-eval-print-loop (REPL),…

Programming Languages · Computer Science 2019-06-12 Kevin Ellis , Maxwell Nye , Yewen Pu , Felix Sosa , Josh Tenenbaum , Armando Solar-Lezama

Achieving high efficiency with numerical kernels for sparse matrices is of utmost importance, since they are part of many simulation codes and tend to use most of the available compute time and resources. In addition, especially in large…

Performance · Computer Science 2013-05-07 Tobias Scharpff , Klaus Iglberger , Georg Hager , Ulrich Ruede
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