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We describe an algorithm for fast multiplication of skew polynomials. It is based on fast modular multiplication of such skew polynomials, for which we give an algorithm relying on evaluation and interpolation on normal bases. Our…

Symbolic Computation · Computer Science 2017-02-07 Xavier Caruso , Jérémy Le Borgne

In this work, we propose FastDPM, a unified framework for fast sampling in diffusion probabilistic models. FastDPM generalizes previous methods and gives rise to new algorithms with improved sample quality. We systematically investigate the…

Machine Learning · Computer Science 2021-06-25 Zhifeng Kong , Wei Ping

We consider quantitative analyses of spectral data using laser-induced breakdown spectroscopy. We address the small size of training data available, and the validation of the predictions during inference on unknown data. For the purpose, we…

Many enhanced sampling techniques rely on the identification of a number of collective variables that describe all the slow modes of the system. By constructing a bias potential in this reduced space one is then able to sample efficiently…

Computational Physics · Physics 2019-03-05 Michele Invernizzi , Michele Parrinello

Mesh refinement in pseudospectral (PS) optimal control is embarrassingly easy --- simply increase the order $N$ of the Lagrange interpolating polynomial and the mathematics of convergence automates the distribution of the grid points.…

Optimization and Control · Mathematics 2019-05-01 N. Koeppen , I. M. Ross , L. C. Wilcox , R. J. Proulx

Spectrum sensing and analysis is crucial for a variety of reasons, including regulatory compliance, interference detection and mitigation, and spectrum resource planning and optimization. Effective, real-time spectrum analysis remains a…

Signal Processing · Electrical Eng. & Systems 2026-01-21 Rahil Gandotra , Ruoyu Sun , Mark Poletti , Jiayu Mao , Hao Guo

To obtain reliable results of expertise, which usually use individual and group expert pairwise comparisons, it is important to summarize (aggregate) expert estimates provided that they are sufficiently consistent. There are several ways to…

Methodology · Statistics 2024-10-07 Vitaliy Tsyganok , Andriy Olenko , Pavlo Roik , Oksana Vlasenko

Investment in brighter sources and larger and faster detectors has accelerated the speed of data acquisition at national user facilities. The accelerated data acquisition offers many opportunities for discovery of new materials, but it also…

Materials Science · Physics 2017-09-28 Fang Ren , Ronald Pandolfi , Douglas Van Campen , Alexander Hexemer , Apurva Mehta

In recent years, the advancement of AI technologies has accelerated the development of smart factories. In particular, the automatic monitoring of product assembly progress is crucial for improving operational efficiency, minimizing the…

Computer Vision and Pattern Recognition · Computer Science 2026-01-05 Kazuma Miura , Sarthak Pathak , Kazunori Umeda

Orbital solutions for binary or multiple stellar systems that combine astrometry (e.g., position angles and angular separations) with spectroscopy (radial velocities) have important advantages over astrometric-only or spectroscopic-only…

Astrophysics · Physics 2007-05-23 Guillermo Torres

Producing images from interferometer data requires accurate modeling of the sources in the field of view, which is typically done using the CLEAN algorithm. Given the large number of degrees of freedom in interferometeric images, one…

Instrumentation and Methods for Astrophysics · Physics 2020-01-22 Amanda A. Kepley , Takahiro Tsutsumi , Crystal L. Brogan , Remy Indebetouw , Ilsang Yoon , Brian Mason , Jennifer Donovan Meyer

A trade-off between speed and information controls our understanding of astronomical objects. Fast-to-acquire photometric observations provide global properties, while costly and time-consuming spectroscopic measurements enable a better…

Instrumentation and Methods for Astrophysics · Physics 2022-11-11 Lars Doorenbos , Stefano Cavuoti , Giuseppe Longo , Massimo Brescia , Raphael Sznitman , Pablo Márquez-Neila

Ordinary Differential Equations are generally too complex to be solved analytically. Approximations thereof can be obtained by general purpose numerical methods. However, even though accurate schemes have been developed, they remain…

Numerical Analysis · Mathematics 2023-04-19 Maxime Bouchereau , Philippe Chartier , Mohammed Lemou , Florian Méhats

While variable selection is essential to optimize the learning complexity by prioritizing features, automating the selection process is preferred since it requires laborious efforts with intensive analysis otherwise. However, it is not an…

Machine Learning · Computer Science 2019-10-29 Makiya Nakashima , Alex Sim , Youngsoo Kim , Jonghyun Kim , Jinoh Kim

Optimally selecting a subset of targets from a larger catalog is a common problem in astronomy and cosmology. A specific example is the selection of targets from an imaging survey for multi-object spectrographic follow-up. We present a new…

Astrophysics · Physics 2009-11-11 E. C. Elson , B. A. Bassett , K. van der Heyden , Z. Z. Vilakazi

The determination of chemical mixture components is vital to a multitude of scientific fields. Oftentimes spectroscopic methods are employed to decipher the composition of these mixtures. However, the sheer density of spectral features…

Astrophysics of Galaxies · Physics 2024-08-29 Zachary T. P. Fried , Brett A. McGuire

We report on two distinct computational approaches to self-consistently measure photospheric properties of large samples of stars. Both procedures consist of a set of several semi-integrated tasks based on shell and Python scripts, which…

Solar and Stellar Astrophysics · Physics 2013-09-04 Andre Milone , Ronaldo da Silva , Anne Sansom , Patricia Sanchez-Blazquez

Automatic performance debugging of parallel applications usually involves two steps: automatic detection of performance bottlenecks and uncovering their root causes for performance optimization. Previous work fails to resolve this…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-02-24 Xu Liu , Lin Yuan , Jianfeng Zhan , Bibo Tu , Dan Meng

In this paper we present a methodology for increasing the accuracy and accelerating the convergence of numerical methods for solution of Maxwell's equations in the frequency domain by taking into account the be-havior of the electromagnetic…

Computational Physics · Physics 2021-06-30 Igor Semenikhin

Adaptive gradient methods are typically used for training over-parameterized models. To better understand their behaviour, we study a simplistic setting -- smooth, convex losses with models over-parameterized enough to interpolate the data.…

Machine Learning · Computer Science 2021-02-22 Sharan Vaswani , Issam Laradji , Frederik Kunstner , Si Yi Meng , Mark Schmidt , Simon Lacoste-Julien
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