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This paper provides the description of a novel, multi-purpose spline library. In accordance with the increasingly diverse modes of usage of splines, it is multi-purpose in the sense that it supports geometry representation, finite element…

Mathematical Software · Computer Science 2020-02-28 Markus Frings , Norbert Hosters , Corinna Müller , Max Spahn , Christoph Susen , Konstantin Key , Stefanie Elgeti

Integer linear programming (ILP) encompasses a very important class of optimization problems that are of great interest to both academia and industry. Several algorithms are available that attempt to explore the solution space of this class…

Emerging Technologies · Computer Science 2018-08-31 Fabio L. Traversa , Massimiliano Di Ventra

A software platform for global optimisation, called PaGMO, has been developed within the Advanced Concepts Team (ACT) at the European Space Agency, and was recently released as an open-source project. PaGMO is built to tackle…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-04-23 Francesco Biscani , Dario Izzo , Chit Hong Yam

We introduce the Bandicoot C++ library for linear algebra and scientific computing on GPUs, overviewing its user interface and performance characteristics, as well as the technical details of its internal design. Bandicoot is the…

Mathematical Software · Computer Science 2025-09-23 Ryan R. Curtin , Marcus Edel , Conrad Sanderson

As the artificial intelligence community advances into the era of large models with billions of parameters, distributed training and inference have become essential. While various parallelism strategies-data, model, sequence, and…

Machine Learning · Computer Science 2025-03-13 Ruifeng She , Bowen Pang , Kai Li , Zehua Liu , Tao Zhong

Probing in mixed-integer programming (MIP) is a technique of temporarily fixing variables to discover implications that are useful to branch-and-cut solvers. Such fixing is typically performed one variable at a time -- this paper develops…

Optimization and Control · Mathematics 2025-11-11 Yongzheng Dai , Chen Chen

PyArmadillo is a linear algebra library for the Python language, with the aim of closely mirroring the programming interface of the widely used Armadillo C++ library, which in turn is deliberately similar to Matlab. PyArmadillo hence…

Mathematical Software · Computer Science 2021-10-22 Jason Rumengan , Terry Yue Zhuo , Conrad Sanderson

We present Matrix Distributed Processing, a C++ library for fast development of efficient parallel algorithms. MDP is based on MPI and consists of a collection of C++ classes and functions such as lattice, site and field. Once an algorithm…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Massimo Di Pierro

The rapidly evolving landscape of AI and machine learning workloads has widened the gap between high-level domain operations and efficient hardware utilization. Achieving near-peak performance still demands deep hardware expertise-experts…

Machine Learning · Computer Science 2025-11-19 Arun Thangamani , Md Asghar Ahmad Shahid , Adam Siemieniuk , Rolf Morel , Renato Golin , Alexander Heinecke

We present a first look at ProtoX, a code generation framework for stencil and pointwise operations that occur frequently in the numerical solution of partial differential equations. ProtoX has Proto as its library frontend and SPIRAL as…

Mathematical Software · Computer Science 2023-07-18 Het Mankad , Sanil Rao , Brian Van Straalen , Phillip Colella , Franz Franchetti

One way to write fast programs is to explore the potential parallelism and take advantage of the high number of cores available in microprocessors. This can be achieved by manually specifying which code executes on which thread, by using…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-08-23 Alcides Fonseca , Raul Barbosa

Linear operators and optimisation are at the core of many algorithms used in signal and image processing, remote sensing, and inverse problems. For small to medium-scale problems, existing software packages (e.g., MATLAB, Python numpy and…

Mathematical Software · Computer Science 2019-07-30 Matteo Ravasi , Ivan Vasconcelos

High-throughput neural network inference requires coordinating many optimization decisions, including parallel tiling, microkernel selection, and data layout. The product of these decisions forms a search space of programs which is…

Programming Languages · Computer Science 2025-05-06 Samuel J. Kaufman , René Just , Rastislav Bodik

Applications in science and engineering often require huge computational resources for solving problems within a reasonable time frame. Parallel supercomputers provide the computational infrastructure for solving such problems. A…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Rajesh Sudarsan , Calvin J. Ribbens

ILU(k) is a commonly used preconditioner for iterative linear solvers for sparse, non-symmetric systems. It is often preferred for the sake of its stability. We present TPILU(k), the first efficiently parallelized ILU(k) preconditioner that…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-05-13 Xin Dong , Gene Cooperman

The article presents and evaluates a scalable algorithm for validating solutions of linear programming problems on cluster computing systems. The main idea of the method is to generate a regular set of points (validation set) on a…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-11-29 Leonid B. Sokolinsky , Irina M. Sokolinskaya

PyMilo is an open-source Python package that addresses the limitations of existing Machine Learning (ML) model storage formats by providing a transparent, reliable, and safe method for exporting and deploying trained models. Current…

Machine Learning · Computer Science 2025-01-03 AmirHosein Rostami , Sepand Haghighi , Sadra Sabouri , Alireza Zolanvari

Recent research has focused on developing GPU-accelerated first-order solvers for linear programming (LP). This line of work, however, has largely overlooked the role of presolving, and thus prior results do not fully reflect the speedups…

Optimization and Control · Mathematics 2026-04-28 Daniel Cederberg , Stephen Boyd

Parallel I/O refers to the ability of scientific programs to concurrently read/write from/to a single file from multiple processes executing on distributed memory platforms like compute clusters. In the HPC world, I/O becomes a significant…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-15 Muhammad Sohaib Ayub , Muhammad Adnan , Muhammad Yasir Shafi

For an increasing number of data intensive scientific applications, parallel I/O concepts are a major performance issue. Tackling this issue, we develop an input/output system designed for highly efficient, scalable and conveniently usable…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-08-06 Erich Schikuta , Helmut Wanek , Heinz Stockinger , Kurt Stockinger , Thomas Fürle , Oliver Jorns , Christoph Löffelhardt , Peter Brezany , Minh Dang , Thomas Mück