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Approximating higher-order tensors by the Tucker format has been applied in many fields such as psychometrics, chemometrics, signal processing, pattern classification, and so on. In this paper, we propose some new Tucker-like approximations…

Numerical Analysis · Mathematics 2023-01-18 Ze-Jia Xie , Xiao-Qing Jin , Zhi Zhao

We propose a novel methodology for solving a two-stage adjustable robust convex optimisation problem with a general (proximable) convex objective function and constraints defined by sum-of-squares (SOS) convex polynomials. These problems…

Optimization and Control · Mathematics 2026-02-17 Neil D. Dizon , Bethany I. Caldwell , Vaithilingam Jeyakumar , Guoyin Li

We present a package to perform partial fraction decompositions of multivariate rational functions. The algorithm allows to systematically avoid spurious denominator factors and is capable of producing unique results also when being applied…

Symbolic Computation · Computer Science 2022-01-05 Matthias Heller , Andreas von Manteuffel

Developing modern systems software is a complex task that combines business logic programming and Software Performance Engineering (SPE). The later is an experimental and labor-intensive activity focused on optimizing the system for a given…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-05 Carlo Curino , Neha Godwal , Brian Kroth , Sergiy Kuryata , Greg Lapinski , Siqi Liu , Slava Oks , Olga Poppe , Adam Smiechowski , Ed Thayer , Markus Weimer , Yiwen Zhu

This paper describes a new approach to experimentally estimate the application schedulability for various processor frequencies. We use additional workload generated by an artificial high priority routine to simulate the frequency decrease…

Software Engineering · Computer Science 2007-05-23 Sampsa Fabritius , Raimondas Lencevicius , Edu Metz , Alexander Ran

The singular value decomposition (SVD) of a matrix is a powerful tool for many matrix computation problems. In this paper, we consider generalizing the standard SVD to analyze and compute the regularized solution of linear ill-posed…

Numerical Analysis · Mathematics 2023-12-19 Haibo Li

The condvis package is for interactive visualization of sections in data space, showing fitted models on the section, and observed data near the section. The primary goal is the interpretation of complex models, and showing how the observed…

Other Statistics · Statistics 2016-10-04 Mark O'Connell , Catherine B. Hurley , Katarina Domijan

We present Bill2d, a modern and efficient C++ package for classical simulations of two-dimensional Hamiltonian systems. Bill2d can be used for various billiard and diffusion problems with one or more charged particles with interactions,…

Computational Physics · Physics 2016-02-22 Janne Solanpää , Perttu Luukko , Esa Räsänen

In this article we present some statistical applications of the functional singular value decomposition (FSVD). This tool allows us to decompose the sample mean of a bivariate stochastic process into components that are functions of…

Methodology · Statistics 2012-12-03 Daniel Gervini

There are several factorizations of multi-dimensional tensors into lower-dimensional components, known as `tensor networks'. We consider the popular `tensor-train' (TT) format and ask: How efficiently can we compute a low-rank approximation…

Numerical Analysis · Mathematics 2023-04-18 Melven Röhrig-Zöllner , Jonas Thies , Achim Basermann

This letter introduces the NOnSmooth Numerical Optimal Control (NOSNOC) open-source software package. It is a modular MATLAB tool based on CasADi and IPOPT for numerically solving Optimal Control Problems (OCP) with piecewise smooth systems…

Optimization and Control · Mathematics 2022-08-04 Armin Nurkanović , Moritz Diehl

Singular value decomposition is widely used in modal analysis, such as proper orthogonal decomposition and resolvent analysis, to extract key features from complex problems. SVD derivatives need to be computed efficiently to enable the…

Numerical Analysis · Mathematics 2025-05-29 Rohit Kanchi , Sicheng He

Software vulnerabilities (SVs) have become a common, serious and crucial concern due to the ubiquity of computer software. Many machine learning-based approaches have been proposed to solve the software vulnerability detection (SVD)…

Cryptography and Security · Computer Science 2022-09-22 Van Nguyen , Trung Le , Chakkrit Tantithamthavorn , John Grundy , Hung Nguyen , Dinh Phung

Support vector machines (SVMs) are well-studied supervised learning models for binary classification. In many applications, large amounts of samples can be cheaply and easily obtained. What is often a costly and error-prone process is to…

Optimization and Control · Mathematics 2024-12-20 Veronica Piccialli , Jan Schwiddessen , Antonio M. Sudoso

A large multitude of scientific computing tools is available today. This article gives an overview of available tools and explains the main application fields. In addition basic principles of number representations in computing and the…

Accelerator Physics · Physics 2021-08-31 A. Latina

In this paper I describe some results on the use of virtual processors technology for parallelize some SPMD computational programs. The tested technology is the INTEL Hyper Threading on real processors, and the programs are MATLAB scripts…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Gianluca Argentini

Concerning huge-scale aggregative convex programming of a linear objective subject to the affine constraints of equality and inequality and the quadratic constraints of inequality, convex and aggregatively computable, an algorithm is…

Optimization and Control · Mathematics 2026-05-05 Luoyi Tao

The randomized singular value decomposition (SVD) is a popular and effective algorithm for computing a near-best rank $k$ approximation of a matrix $A$ using matrix-vector products with standard Gaussian vectors. Here, we generalize the…

Numerical Analysis · Mathematics 2022-01-24 Nicolas Boullé , Alex Townsend

The freud Python package is a powerful library for analyzing simulation data. Written with modern simulation and data analysis workflows in mind, freud provides a Python interface to fast, parallelized C++ routines that run efficiently on…

The Singular Value Decomposition (SVD) of matrices is a widely used tool in scientific computing. In many applications of machine learning, data analysis, signal and image processing, the large datasets are structured into tensors, for…

Numerical Analysis · Mathematics 2023-11-07 Anas El Hachimi , Khalide Jbilou , Mustapha Hached , Ahmed Ratnani
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