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We tensorize the Faber spline system from [14] to prove sequence space isomorphisms for multivariate function spaces with higher mixed regularity. The respective basis coefficients are local linear combinations of discrete function values…

Functional Analysis · Mathematics 2020-04-08 Nadiia Derevianko , Tino Ullrich

Functional Data Analysis (FDA) is an extension of traditional data analysis to functional data, for example spectra, temporal series, spatio-temporal images, gesture recognition data, etc. Functional data are rarely known in practice;…

Neural and Evolutionary Computing · Computer Science 2007-09-25 Fabrice Rossi , Nicolas Delannay , Brieuc Conan-Guez , Michel Verleysen

This paper proposes a new approach to estimating the distribution of a response variable conditioned on observing some factors. The proposed approach possesses desirable properties of flexibility, interpretability, tractability and…

Methodology · Statistics 2023-03-16 Cheng Peng , Stanislav Uryasev

In many longitudinal settings, time-varying covariates may not be measured at the same time as responses and are often prone to measurement error. Naive last-observation-carried-forward methods incur estimation biases, and existing…

Methodology · Statistics 2023-03-10 Xinyue Chang , Yehua Li , Yi Li

We present reslr, an R package to perform Bayesian modelling of relative sea level data. We include a variety of different statistical models previously proposed in the literature, with a unifying framework for loading data, fitting models,…

Applications · Statistics 2025-09-26 Maeve Upton , Andrew Parnell , Niamh Cahill

Functional integrals are central to modern theories ranging from quantum mechanics and statistical thermodynamics to biology, chemistry, and finance. In this work we present a new method for calculating functional integrals based on a…

Mathematical Physics · Physics 2023-09-22 Amos A. Hari , Sefi Givli

Non-probability sampling is prevailing in survey sampling, but ignoring its selection bias leads to erroneous inferences. We offer a unified nonparametric calibration method to estimate the sampling weights for a non-probability sample by…

Methodology · Statistics 2022-04-21 Zhonglei Wang , Xiaojun Mao , Jae Kwang Kim

Using representations of functional data can be more convenient and beneficial in subsequent statistical models than direct observations. These representations, in a lower-dimensional space, extract and compress information from individual…

Machine Learning · Statistics 2022-06-24 Haixu Wang , Jiguo Cao

Motif discovery is gaining increasing attention in the domain of functional data analysis. Functional motifs are typical "shapes" or "patterns" that recur multiple times in different portions of a single curve and/or in misaligned portions…

Methodology · Statistics 2023-06-08 Jacopo Di Iorio , Marzia A. Cremona , Francesca Chiaromonte

The problem of estimating missing fragments of curves from a functional sample has been widely considered in the literature. However, a majority of the reconstruction methods rely on estimating the covariance matrix or the components of its…

Methodology · Statistics 2021-08-26 Antonio Elías , Raúl Jiménez , Hanlin Shang

This article introduces a non parametric warping model for functional data. When the outcome of an experiment is a sample of curves, data can be seen as realizations of a stochastic process, which takes into account the small variations…

Statistics Theory · Mathematics 2008-12-18 Jean-François Dupuy , Jean-Michel Loubes , Elie Maza

The analysis of longitudinal data gives the chance to observe how unit behaviors change over time, but it also poses a series of issues. These have been the focus of an extensive literature in the context of linear and generalized linear…

Computation · Statistics 2025-10-20 Marco Alfó , Maria Francesca Marino , Maria Giovanna Ranalli , Nicola Salvati

This paper introduces a novel mixture model-based approach for simultaneous clustering and optimal segmentation of functional data which are curves presenting regime changes. The proposed model consists in a finite mixture of piecewise…

Methodology · Statistics 2014-05-02 Faicel Chamroukhi

One of the significant problems associated with imbalanced data classification is the lack of reliable metrics. This runs primarily from the fact that for most real-life (as well as commonly used benchmark) problems, we do not have…

Machine Learning · Computer Science 2024-04-16 Szymon Wojciechowski , Michał Woźniak

Functional data analysis tools, such as function-on-function regression models, have received considerable attention in various scientific fields because of their observed high-dimensional and complex data structures. Several statistical…

Methodology · Statistics 2020-09-22 Ufuk Beyaztas , Han Lin Shang

In the context of macroeconomic/financial time series, the FARS package provides a comprehensive framework in R for the construction of conditional densities of the variable of interest based on the factor-augmented quantile regressions…

Statistical analysis of functional data is challenging due to their complex patterns, for which functional depth provides an effective means of reflecting their ordering structure. In this work, we investigate practical aspects of the…

Methodology · Statistics 2026-02-27 Filip Bočinec , Stanislav Nagy , Hyemin Yeon

We present csSampling, an R package for estimation of Bayesian models for data collected from complex survey samples. csSampling combines functionality from the probabilistic programming language Stan (via the rstan and brms R packages) and…

Computation · Statistics 2023-08-15 Ryan Hornby , Matthew R. Williams , Terrance D. Savitsky , Mahmoud Elkasabi

The R package merlin performs flexible joint modelling of hierarchical multi-outcome data. Increasingly, multiple longitudinal biomarker measurements, possibly censored time-to-event outcomes and baseline characteristics are available.…

Computation · Statistics 2020-07-29 Emma C. Martin , Alessandro Gasparini , Michael J. Crowther

Identifying a reduced set of collective variables is critical for understanding atomistic simulations and accelerating them through enhanced sampling techniques. Recently, several methods have been proposed to learn these variables directly…

Computational Physics · Physics 2023-07-19 Luigi Bonati , Enrico Trizio , Andrea Rizzi , Michele Parrinello