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Tensor sparse modeling as a promising approach, in the whole of science and engineering has been a huge success. As is known to all, various data in practical application are often generated by multiple factors, so the use of tensors to…

计算机视觉与模式识别 · 计算机科学 2022-07-12 Hongbing Zhang , Xinyi Liu , Hongtao Fan , Yajing Li , Yinlin Ye

This work aims at performing Functional Principal Components Analysis (FPCA) with Horvitz-Thompson estimators when the observations are curves collected with survey sampling techniques. One important motivation for this study is that FPCA…

统计理论 · 数学 2009-12-19 Hervé Cardot , Mohamed Chaouch , Camelia Goga , Catherine Labruère

Scanning thermal microscopy is a unique tool for the study of thermal properties at the nanoscale. However, calibration of the method is a crucial problem. When analyzing local thermal conductivity, direct calibration is not possible and…

数据分析、统计与概率 · 物理学 2025-01-16 Anna Charvátová Campbell , Petr Klapetek , Radek Šlesinger , Jan Martinek , Václav Hortvík , Viktor Witkovský , Gejza Wimmer

We present a full-wave Maxwell-density matrix simulation tool including c-number stochastic noise terms for the modeling of the spatiotemporal dynamics in active photonic devices, such as quantum cascade lasers (QCLs) and quantum dot (QD)…

In this paper, a class of deterministic sensing matrices are constructed by selecting rows from Fourier matrices. These matrices have better performance in sparse recovery than random partial Fourier matrices. The coherence and restricted…

信息论 · 计算机科学 2015-09-10 Shan Huang , Hong Sun , Lei Yu , Haijian Zhang

Homogenization is a fundamental technique for estimating the macroscopic properties of materials with microscale heterogeneity. Among Homogenization methods, the FFT-based Homogenization algorithm has become widely used due to its…

材料科学 · 物理学 2025-04-15 Sascha H. Hauck , Matthias Kabel , Mazen Ali , Nicolas R. Gauger

In this paper a new integral equation solution to the elastic-plastic problem of functionally graded bars under torsional loading is presented. The formulation is general in the sense that it can be applied to an arbitrary cross-section…

数值分析 · 数学 2017-05-30 George C. Tsiatas , Nick G. Babouskos

In machine learning practice it is often useful to identify relevant input features. Isolating key input elements, ranked according their respective degree of relevance, can help to elaborate on the process of decision making. Here, we…

机器学习 · 计算机科学 2025-11-24 Lorenzo Chicchi , Lorenzo Buffoni , Diego Febbe , Lorenzo Giambagli , Raffaele Marino , Duccio Fanelli

We propose a novel value function approximation technique for Markov decision processes. We consider the problem of compactly representing the state-action value function using a low-rank and sparse matrix model. The problem is to decompose…

机器学习 · 计算机科学 2015-09-02 Hao Yi Ong

The Gaussian function (GF) is widely used to explain the behavior or statistical distribution of many natural phenomena as well as industrial processes in different disciplines of engineering and applied science. For example, the GF can be…

信号处理 · 电气工程与系统科学 2020-01-08 Ibrahim Al-Nahhal , Octavia A. Dobre , Ertugrul Basar , Cecilia Moloney , Salama Ikki

In this article we present an algorithm to efficiently evaluate the exchange matrix in periodic systems when Gaussian basis set with pseudopotentials are used. The usual algorithm for evaluating exchange matrix scales cubically with the…

强关联电子 · 物理学 2022-11-11 Sandeep Sharma , Alec F. White , Gregory Beylkin

The derivation of the effective temperature of a star is a critical first step in a detailed spectroscopic analysis. Spectroscopic methods suffer from systematic errors related to model simplifications. Photometric methods may be more…

太阳与恒星天体物理 · 物理学 2015-06-15 Julián Muñoz Bermejo , Andrés Asensio Ramos , Carlos Allende Prieto

Tensor decomposition is a fundamental tool for analyzing multi-dimensional data by learning low-rank factors to represent high-order interactions. While recent works on temporal tensor decomposition have made significant progress by…

机器学习 · 计算机科学 2025-09-30 Panqi Chen , Lei Cheng , Jianlong Li , Weichang Li , Weiqing Liu , Jiang Bian , Shikai Fang

The numerical simulation of weakly nonlinear ultrasound is important in treatment planning for focused ultrasound (FUS) therapies. However, the large domain sizes and generation of higher harmonics at the focus make these problems extremely…

Unsupervised integrative analysis of multiple data sources has become common place and scalable algorithms are necessary to accommodate ever increasing availability of data. Only few currently methods have estimation speed as their focus,…

统计方法学 · 统计学 2024-05-17 Felix Held

The fractional quantum Hall effect remains a captivating area in condensed matter physics, characterized by strongly correlated topological order, which manifests as fractionalized excitations and anyonic statistics. Numerical simulations,…

强关联电子 · 物理学 2025-10-27 Yi Yang , Yayun Hu , Zi-Xiang Hu

In a recent paper we have suggested that the finite temperature density matrix can be computed efficiently by a combination of polynomial expansion and iterative inversion techniques. We present here significant improvements over this…

材料科学 · 物理学 2010-10-19 Michele Ceriotti , Thomas D. Kühne , Michele Parrinello

This paper focuses on detection tasks in information extraction, where positive instances are sparsely distributed and models are usually evaluated using F-measure on positive classes. These characteristics often result in deficient…

计算与语言 · 计算机科学 2018-05-29 Hongyu Lin , Yaojie Lu , Xianpei Han , Le Sun

Accurate approximation of a real-valued function depends on two aspects of the available data: the density of inputs within the domain of interest and the variation of the outputs over that domain. There are few methods for assessing…

数值分析 · 数学 2024-11-11 Andrew Gillette , Eugene Kur

We address the problem of estimating a sparse low-rank matrix from its noisy observation. We propose an objective function consisting of a data-fidelity term and two parameterized non-convex penalty functions. Further, we show how to set…

最优化与控制 · 数学 2017-04-13 Ankit Parekh , Ivan W. Selesnick
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