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The large quantity and high quality of modern radio and infrared line observations require efficient modeling techniques to infer physical and chemical parameters such as temperature, density, and molecular abundances. We present a computer…

MultiPrecisionArrays.jl is a Julia package. This package provides data structures and solvers for several variants of iterative refinement. It will become much more useful when half precision (aka Float16) is fully supported in LAPACK/BLAS.…

Numerical Analysis · Mathematics 2025-08-11 C. T. Kelley

This paper describes a new MATLAB software package of iterative regularization methods and test problems for large-scale linear inverse problems. The software package, called IR Tools, serves two related purposes: we provide implementations…

Numerical Analysis · Mathematics 2018-07-03 Silvia Gazzola , Per Christian Hansen , James G. Nagy

This article develops iterative machine learning (IML) for output tracking. The input-output data generated during iterations to develop the model used in the iterative update. The main contribution of this article to propose the use of…

Systems and Control · Computer Science 2018-01-04 Santosh Devasia

The Clair library is intended to simplify a number of generic tasks in Natural Language Processing (NLP), Information Retrieval (IR), and Network Analysis. Its architecture also allows for external software to be plugged in with very little…

Information Retrieval · Computer Science 2007-12-21 Dragomir Radev , Mark Hodges , Anthony Fader , Mark Joseph , Joshua Gerrish , Mark Schaller , Jonathan dePeri , Bryan Gibson

{\sc SigSpec} computes the spectral significance levels for the DFT amplitude spectrum of a time series at arbitrarily given sampling. It is based on the analytical solution for the Probability Density Function (PDF) of an amplitude level,…

Instrumentation and Methods for Astrophysics · Physics 2010-06-29 Piet Reegen

Deep Learning (DL) models can be used to tackle time series analysis tasks with great success. However, the performance of DL models can degenerate rapidly if the data are not appropriately normalized. This issue is even more apparent when…

Computational Finance · Quantitative Finance 2019-09-24 Nikolaos Passalis , Anastasios Tefas , Juho Kanniainen , Moncef Gabbouj , Alexandros Iosifidis

We describe the computer algebra software package SpectralSequences for the computer algebra system Macaulay2. This package implements many data types, objects and algorithms which pertain to, among other things, filtered complexes,…

Commutative Algebra · Mathematics 2016-10-19 Adam Boocher , Nathan Grieve , Eloísa Grifo

This chapter reviews the fundamentals of continuous and discrete Linear Time-Invariant (LTI) systems with Single Input-Single Output (SISO). We start from the general notions of signals and systems, the signal representation problem and the…

Optimization and Control · Mathematics 2022-08-26 Miguel A. Mendez

Cyclic spectral analysis is a signal processing technique designed to deal with stochastic signals whose statistics vary periodically with time. Pulsar radio emission is a textbook example of this signal class, known as cyclostationary…

Instrumentation and Methods for Astrophysics · Physics 2015-05-28 Paul Demorest

Verification of temporal logic properties plays a crucial role in proving the desired behaviors of hybrid systems. In this paper, we propose an interval method for verifying the properties described by a bounded linear temporal logic. We…

Logic in Computer Science · Computer Science 2015-07-15 Daisuke Ishii , Naoki Yonezaki , Alexandre Goldsztejn

Here we define a procedure for evaluating KL-projections (I- and rI-projections) of channels. These can be useful in the decomposition of mutual information between input and outputs, e.g. to quantify synergies and interactions of different…

Information Theory · Computer Science 2016-09-20 Paolo Perrone , Nihat Ay

Parallel application I/O performance often does not meet user expectations. Additionally, slight access pattern modifications may lead to significant changes in performance due to complex interactions between hardware and software. These…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-19 Julian M. Kunkel , Eugen Betke , Matt Bryson , Philip Carns , Rosemary Francis , Wolfgang Frings , Roland Laifer , Sandra Mendez

We consider large linear and nonlinear fixed point problems, and solution with proximal algorithms. We show that there is a close connection between two seemingly different types of methods from distinct fields: 1) Proximal iterations for…

Numerical Analysis · Computer Science 2019-09-05 Dimitri P. Bertsekas

We consider interpolation inequalities for imbeddings of the $l^2$-sequence spaces over $d$-dimensional lattices into the $l^\infty_0$ spaces written as interpolation inequality between the $l^2$-norm of a sequence and its difference. A…

Analysis of PDEs · Mathematics 2014-07-03 Alexei Ilyin , Ari Laptev , Sergey Zelik

Predicting the number of clock cycles a processor takes to execute a block of assembly instructions in steady state (the throughput) is important for both compiler designers and performance engineers. Building an analytical model to do so…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-31 Charith Mendis , Alex Renda , Saman Amarasinghe , Michael Carbin

Time series analysis is crucial in fields like finance, economics, environmental science, and biomedical engineering, aiding in forecasting, pattern identification, and understanding underlying mechanisms. While traditional time-domain…

Methodology · Statistics 2024-08-21 Jonathan de Souza Matias , Valderio Anselmo Reisen

This paper presents a method for modeling biological systems which combines formal techniques on intervals, numerical simulations and satisfaction of Signal Temporal Logic (STL) formulas. The main modeling challenge addressed by this…

Computational Engineering, Finance, and Science · Computer Science 2013-09-05 Nicolas Mobilia , Alexandre Donzé , Jean Marc Moulis , Éric Fanchon

Trajectory data represent a trace of an object that changes its position in space over time. This kind of data is complex to handle and analyze, since it is generally produced in huge quantities, often prone to errors generated by the…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-31 Salman Haidri , Yaksh J. Haranwala , Vania Bogorny , Chiara Renso , Vinicius Prado da Fonseca , Amilcar Soares

We present an open source Python 3 library aimed at practitioners of molecular simulation, especially Monte Carlo simulation. The aims of the library are to facilitate the generation of simulation data for a wide range of problems; and to…