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Sparse coding is a core building block in many data analysis and machine learning pipelines. Typically it is solved by relying on generic optimization techniques, such as the Iterative Soft Thresholding Algorithm and its accelerated version…

Machine Learning · Statistics 2017-06-06 Thomas Moreau , Joan Bruna

Historically, programming language semantics has focused on assigning a precise mathematical meaning to programs. That meaning is a function from the program's input domain to its output domain determined solely by its syntactic structure.…

JETSPIN is an open-source computer program specifically designed to simulate the electrospinning process of nanofibers. This manual provides an overview of JETSPIN, focusing primarily on its structure, parallel implementations,…

Soft Condensed Matter · Physics 2015-07-28 Marco Lauricella , Giuseppe Pontrelli , Ivan Coluzza , Dario Pisignano , Sauro Succi

We introduce and analyze different strategies for the parallel-in-time integration method PFASST to recover from hard faults and subsequent data loss. Since PFASST stores solutions at multiple time steps on different processors, information…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-03-21 Robert Speck , Daniel Ruprecht

Program slicing has been mainly studied in the context of imperative languages, where it has been applied to a wide variety of software engineering tasks, like program understanding, maintenance, debugging, testing, code reuse, etc. This…

Programming Languages · Computer Science 2007-05-23 Josep Silva , Germán Vidal

In this paper, we study the nonexpansive properties of a generalized forward-backward splitting (G-FBS) operator, particularly under the setting of degenerate metric, from which follow the convergence results in terms of degenerate metric…

Optimization and Control · Mathematics 2023-02-21 Feng Xue

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

"There and Back Again" (TABA) is a programming pattern where the recursive calls traverse one data structure and the subsequent returns traverse another. This article presents new TABA examples, refines existing ones, and formalizes both…

Programming Languages · Computer Science 2023-06-22 Olivier Danvy

We develop and analyze stochastic variants of ISTA and a full backtracking FISTA algorithms [Beck and Teboulle, 2009, Scheinberg et al., 2014] for composite optimization without the assumption that stochastic gradient is an unbiased…

Optimization and Control · Mathematics 2025-02-14 Lam M. Nguyen , Katya Scheinberg , Trang H. Tran

Spatial-Temporal Graph (STG) forecasting on large-scale networks has garnered significant attention. However, existing models predominantly focus on short-horizon predictions and suffer from notorious computational costs and memory…

Machine Learning · Computer Science 2026-01-09 Yiji Zhao , Zihao Zhong , Ao Wang , Haomin Wen , Ming Jin , Yuxuan Liang , Huaiyu Wan , Hao Wu

A pulsar dynamic spectrum is an inline digital hologram of the interstellar medium; it encodes information on the propagation paths by which signals have travelled from source to telescope. To decode the hologram it is necessary to…

Instrumentation and Methods for Astrophysics · Physics 2022-12-07 Stefan Osłowski , Mark A. Walker

This is the User Manual of the LASPATED library. This library is available on GitHub (at https://github.com/vguigues/LASPATED)) and provides a set of tools to analyze spatiotemporal data. A video tutorial for this library is available on…

Recent developments in the AST library are described, including a Python interface, support for the FITS-WCS "-TAB" system for storing tabular co-ordinate information, and extended support for representing distortions in spatial…

Instrumentation and Methods for Astrophysics · Physics 2012-10-22 David Berry , Tim Jenness

In this paper, we analyze the iteration-complexity of Generalized Forward--Backward (GFB) splitting algorithm, as proposed in \cite{gfb2011}, for minimizing a large class of composite objectives $f + \sum_{i=1}^n h_i$ on a Hilbert space,…

Optimization and Control · Mathematics 2014-02-11 Jingwei Liang , Jalal M. Fadili , Gabriel Peyré

We consider the iterative shrinkage/thresholding algorithm (ISTA) applied to a cost function composed of a data fidelity term and a penalty term. The penalty is non-convex but the concavity of the penalty is accounted for by the data…

Optimization and Control · Mathematics 2016-04-20 Ilker Bayram

This is the user manual for the software package BSEPACK (Bethe--Salpeter Eigenvalue Solver Package).

Mathematical Software · Computer Science 2016-12-26 Meiyue Shao , Chao Yang

TOPCAT and STILTS are related packages for desktop analysis of tabular data, presenting GUI and command-line interfaces respectively to much of the same functionality. This paper presents features in TOPCAT that facilitate use of STILTS.

Instrumentation and Methods for Astrophysics · Physics 2025-01-08 Mark Taylor

We consider a variable metric and inexact version of the FISTA-type algorithm considered in (Chambolle, Pock, 2016, Calatroni, Chambolle, 2019) for the minimization of the sum of two (possibly strongly) convex functions. The proposed…

Optimization and Control · Mathematics 2021-01-12 Simone Rebegoldi , Luca Calatroni

This paper contains details on the algorithms implemented in the TEMPO2 pulsar timing software package and describes how the software is used. Information is given on how to download and install the software, use the various interfaces,…

Instrumentation and Methods for Astrophysics · Physics 2012-05-30 G. Hobbs

This document is designed to give a new ResFrac user the tools that they need to succeed. It describes what ResFrac does and how to use it. We cover much more than just button pressing. Using ResFrac successfully requires high-level…

Geophysics · Physics 2024-05-10 Mark McClure , Garrett Fowler , Chris Hewson , Charles Kang