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The detection of gravitational waves by the LIGO-Virgo-KAGRA collaboration has ushered in a new era of observational astronomy, emphasizing the need for rapid and detailed parameter estimation and population-level analyses. Traditional…

广义相对论与量子宇宙学 · 物理学 2025-07-22 Bo Liang , He Wang

Radio astronomy relies heavily on efficient and accurate processing pipelines to deliver science ready data. With the increasing data flow of modern radio telescopes, manual configuration of such data processing pipelines is infeasible.…

天体物理仪器与方法 · 物理学 2026-03-18 S. Yatawatta , A. Ahmadi , B. Asabere , M. Iacobelli , N. Peters , M. Veldhuis

Derivative-free optimization (DFO) is the mathematical study of the optimization algorithms that do not use derivatives. One branch of DFO focuses on model-based DFO methods, where an approximation of the objective function is used to guide…

数值分析 · 数学 2016-12-16 Warren Hare

This article aims at discovering the unknown variables in the system through data analysis. The main idea is to use the time of data collection as a surrogate variable and try to identify the unknown variables by modeling gradual and sudden…

统计方法学 · 统计学 2023-10-12 V. Roshan Joseph , William E. Lewis , Henry S. Yuchi , Kathryn A. Maupin

We propose a novel framework for fast integral operations by uncovering hidden geometries in the row and column structures of the underlying operators. This is accomplished through the \texttt{Questionnaire} algorithm, an iterative…

数值分析 · 数学 2026-02-27 Pei-Chun Su , Ronald R. Coifman

Combinatorial interaction testing has been addressed as an effective software testing technique recently. It shows its ability to reduce the number of test cases that have to be considered for software-under-test by taking the combinations…

软件工程 · 计算机科学 2019-05-17 Bestoun S. Ahmed

A new approach for uncertainty management for fuzzy, rule based decision support systems is proposed: The domain expert's knowledge is expressed by a set of rules that frequently refer to vague and uncertain propositions. The certainty of…

人工智能 · 计算机科学 2013-04-10 Christoph F. Eick

This article deals with the analysis of high dimensional data that come from multiple sources (experiments) and thus have different possibly correlated responses, but share the same set of predictors. The measurements of the predictors may…

统计方法学 · 统计学 2020-07-01 Guorong Dai , Ursula U. Müller , Raymond J. Carroll

This study aims to comprehensively investigate the deep ensemble approach, an approximate Bayesian inference, in the multi-output regression task for predicting the aerodynamic performance of a missile configuration. To this end, the effect…

机器学习 · 计算机科学 2023-11-27 Sunwoong Yang , Kwanjung Yee

In this article, we explore a series of elementary yet insightful results involving integrals related to Gaussian sums. Using techniques rooted in classical calculus, we derive several identities and evaluate nontrivial definite integrals…

综合数学 · 数学 2025-07-25 Jesus Retamozo

The aim of this paper is to get the boundedness of rough sublinear operators generated by fractional integral operators on vanishing generalized weighted Morrey spaces under generic size conditions which are satisfied by most of the…

泛函分析 · 数学 2018-09-25 Ferit Gürbüz

In this paper, we establish a distributed functional optimization (DFO) theory over time-varying networks. The vast majority of existing distributed optimization theories are developed based on Euclidean decision variables. However, for…

最优化与控制 · 数学 2026-01-01 Zhan Yu , Zhongjie Shi , Deming Yuan , Daniel W. C. Ho

In this paper, we present a generalization of the relational data model based on interval neutrosophic set. Our data model is capable of manipulating incomplete as well as inconsistent information. Fuzzy relation or intuitionistic fuzzy…

数据库 · 计算机科学 2007-10-30 Haibin Wang , Rajshekhar Sunderraman , Florentin Smarandache , Andre Rogatko

Data depth is a well-known and useful nonparametric tool for analyzing functional data. It provides a novel way of ranking a sample of curves from the center outwards and defining robust statistics, such as the median or trimmed means. It…

统计方法学 · 统计学 2020-07-31 Carlo Sguera , Sara López-Pintado

Data-driven models based on deep learning algorithms intend to overcome the limitations of traditional constitutive modelling by directly learning from data. However, the need for extensive data that collate the full state of the material…

材料科学 · 物理学 2023-12-27 Filippo Masi , Itai Einav

Classical deep learning typically operates on individual cases. Despite its success, real-world usage often requires repeated inference to estimate statistical quantities for complex decision-making tasks involving uncertainty or…

机器学习 · 计算机科学 2026-05-13 Daniel Xu , Yuxin Xie , Minghao Guo , Haixu Wu , Wojciech Matusik

In recent years, progress toward the classification of superintegrable systems with higher order integrals of motion has been made. In particular, a complete classification of all exotic potentials with a third or a fourth order integrals,…

数学物理 · 物理学 2020-11-10 Ian Marquette

One of the significant objectives of software engineering community is to use effective and useful models for precise calculation of effort in software cost estimation. The existing techniques cannot handle the dataset having categorical…

软件工程 · 计算机科学 2012-11-07 S. Malathi , S. Sridhar

Aspects of the algebraic structure and representation theory of the quantum affine superalgebras with symmetrizable Cartan matrices are studied. The irreducible integrable highest weight representations are classified, and shown to be…

q-alg · 数学 2009-10-30 R. B. Zhang

We investigate pairs of diagonal cubic equations with integral coefficients. For a class of such Diophantine systems with 11 or more variables, we are able to establish that the number of integral solutions in a large box is at least as…

数论 · 数学 2021-10-12 Joerg Bruedern , Trevor D. Wooley