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The aim of this article is to introduce a new methodology for constructing morphings between shapes that have identical topology. The morphings are obtained by deforming a reference shape, through the resolution of a sequence of linear…

数值分析 · 数学 2025-02-04 Abbas Kabalan , Fabien Casenave , Felipe Bordeu , Virginie Ehrlacher , Alexandre Ern

Approximating field variables and data vectors from sparse samples is a key challenge in computational science. Widely used methods such as gappy proper orthogonal decomposition and empirical interpolation rely on linear approximation…

数值分析 · 数学 2024-12-16 Paul Schwerdtner , Serkan Gugercin , Benjamin Peherstorfer

We propose a novel type of planar-to-spatial deployable structures that we call elastic geodesic grids. Our approach aims at the approximation of freeform surfaces with spatial grids of bent lamellas which can be deployed from a planar…

图形学 · 计算机科学 2020-07-02 Stefan Pillwein , Kurt Leimer , Michael Birsak , Przemyslaw Musialski

We propose a novel framework for sparse functional clustering that also embeds an alignment step. Sparse functional clustering means finding a grouping structure while jointly detecting the parts of the curves' domains where their grouping…

统计方法学 · 统计学 2019-12-03 Valeria Vitelli

The nonlinear mechanics of a flexible elastic rod constrained at its edges by a pair of sliding sleeves is analyzed. The planar equilibrium configurations of this variable-length elastica are found to have shape defined only by the…

软凝聚态物质 · 物理学 2024-09-19 Alessandro Cazzolli , Francesco Dal Corso

We propose a new approach for metric learning by framing it as learning a sparse combination of locally discriminative metrics that are inexpensive to generate from the training data. This flexible framework allows us to naturally derive…

机器学习 · 计算机科学 2019-01-25 Yuan Shi , Aurélien Bellet , Fei Sha

Functional data analysis deals with data recorded densely over time (or any other continuum) with one or more observed curves per subject. Conceptually, functional data are continuously defined, but in practice, they are usually observed at…

统计方法学 · 统计学 2023-01-20 Chengqian Xian , Camila de Souza , John Jewell , Ronaldo Dias

Smoothing of noisy sample covariances is an important component in functional data analysis. We propose a novel covariance smoothing method based on penalized splines and associated software. The proposed method is a bivariate spline…

统计方法学 · 统计学 2017-04-07 Luo Xiao , Cai Li , William Checkley , Ciprian M. Crainiceanu

This paper presents an optimised algorithm implementing the method of slices for analysing the stability of slopes. The algorithm adopts an improved physically based parameterisation of slip lines according to their geometrical…

计算工程、金融与科学 · 计算机科学 2024-12-03 Leonardo Maria Lalicata , Andrea Bressan , Simone Pittaluga , Lorenzo Tamellini , Domenico Gallipoli

The proliferation and ubiquity of temporal data across many disciplines has sparked interest for similarity, classification and clustering methods specifically designed to handle time series data. A core issue when dealing with time series…

机器学习 · 计算机科学 2023-09-26 Iñigo Martinez

Several experimental measurements are expressed in the form of one-dimensional profiles, for which there is a scarcity of methodologies able to classify the pertinence of a given result to a specific group. The polarization curves that…

计算工程、金融与科学 · 计算机科学 2015-06-15 Ricardo Fabbri , Ivan N. Bastos , Francisco D. Moura Neto , Francisco J. P. Lopes , Wesley N. Goncalves , Odemir M. Bruno

Although many successful ensemble clustering approaches have been developed in recent years, there are still two limitations to most of the existing approaches. First, they mostly overlook the issue of uncertain links, which may mislead the…

机器学习 · 统计学 2016-06-06 Dong Huang , Jian-Huang Lai , Chang-Dong Wang

The sampling of graph signals has recently drawn much attention due to the wide applications of graph signal processing. While a lot of efficient methods and interesting results have been reported to the sampling of band-limited or smooth…

信号处理 · 电气工程与系统科学 2025-01-01 Yingcheng Lai , Li Chai , Jinming Xu

As an effective nonparametric method, empirical likelihood (EL) is appealing in combining estimating equations flexibly and adaptively for incorporating data information. To select important variables and estimating equations in the sparse…

统计方法学 · 统计学 2021-07-02 Jiaqi Li , Liya Fu

We propose and analyze a novel framework for learning sparse representations, based on two statistical techniques: kernel smoothing and marginal regression. The proposed approach provides a flexible framework for incorporating feature…

机器学习 · 统计学 2012-10-04 Krishnakumar Balasubramanian , Kai Yu , Guy Lebanon

Spatio-temporal receptive field (STRF) models are frequently used to approximate the computation implemented by a sensory neuron. Typically, such STRFs are assumed to be smooth and sparse. Current state-of-the-art approaches for estimating…

机器学习 · 计算机科学 2021-08-23 Ziwei Huang , Yanli Ran , Jonathan Oesterle , Thomas Euler , Philipp Berens

Multivariate elliptically-contoured distributions are widely used for modeling correlated and non-Gaussian data. In this work, we study the kurtosis of the elliptical model, which is an important parameter in many statistical analysis.…

统计理论 · 数学 2024-08-23 Bowen Zhou , Peirong Xu , Cheng Wang

For configurations of point-sets that are pairwise constrained by distance intervals, the EASAL software implements a suite of algorithms that characterize the structure and geometric properties of the configuration space. The algorithms…

计算几何 · 计算机科学 2018-06-06 Aysegul Ozkan , Rahul Prabhu , Troy Baker , James Pence , Jorg Peters , Meera Sitharam

Many numerical studies of blood flow impose a rigid wall assumption due to the simplicity of its implementation compared to a full coupling to a solid mechanics model. In this paper, we present a localised method for incorporating the…

流体动力学 · 物理学 2021-08-20 J. W. S. McCullough , P. V. Coveney

We consider the problem of extracting curve skeletons of three-dimensional, elongated objects given a noisy surface, which has applications in agricultural contexts such as extracting the branching structure of plants. We describe an…

计算机视觉与模式识别 · 计算机科学 2018-03-20 Amy Tabb , Henry Medeiros