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scientific article; zbMATH DE number 7625190

Language	Label	Description	Also known as
English	No label defined	scientific article; zbMATH DE number 7625190

Statements

scholarly article

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Matteo Pegoraro

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publication date

29 November 2022

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full work available at URL

https://arxiv.org/abs/2101.09039

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https://jmlr.csail.mit.edu/papers/v23/21-0059.html

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zbMATH Keywords

Wasserstein spaces

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Wasserstein metric

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principal component analysis

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Wasserstein regression

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metric projection

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monotonic B-splines

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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Monotone spectral density estimation

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A general asymptotic scheme for inference under order restrictions

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Set-valued analysis

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An Empirical Distribution Function for Sampling with Incomplete Information

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On minimum Kantorovich distance estimators

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On barycenters of probability measures

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On parameter estimation with the Wasserstein distance

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Approximate Bayesian Computation with the Wasserstein Distance

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Active set algorithms for isotonic regression; a unifying framework

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Geodesic PCA in the Wasserstein space by convex PCA

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Prediction in functional linear regression

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Measuring dependence in the Wasserstein distance for Bayesian nonparametric models

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Geodesic PCA versus Log-PCA of Histograms in the Wasserstein Space

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Wasserstein Regression

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Bayesian quantile regression using random B-spline series prior

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Asymptotic theory for the principal component analysis of a vector random function: Some applications to statistical inference

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Splines with Nonnegative B-Spline Coefficients

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Dimensionality reduction when data are density functions

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Best approximation in inner product spaces

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Advances in order restricted statistical inference. Proceedings of the Symposium on Order Restricted Statistical Inference held in Iowa City, Iowa, September 11--13, 1985

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Hilbert space of probability density functions based on Aitchison geometry

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Geodesic regression and the theory of least squares on Riemannian manifolds

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Distribution-on-distribution regression via optimal transport maps

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Simplicial principal component analysis for density functions in Bayes spaces

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Backward nested descriptors asymptotics with inference on stem cell differentiation

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Analysis of principal nested spheres

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Inference for Density Families Using Functional Principal Component Analysis

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Principal component analysis for histogram-valued data

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A Class-Kriging predictor for functional compositions with application to particle-size curves in heterogeneous aquifers

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Advances in neural networks -- ISNN 2007. 4th international symposium on neural networks, ISNN 2007, Nanjing, China, June 3--7, 2007. Proceedings, Part II

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An Invitation to Statistics in Wasserstein Space

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Nonparametric Statistics on Manifolds and Their Applications to Object Data Analysis

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Intrinsic statistics on Riemannian manifolds: Basic tools for geometric measurements

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Barycentric subspace analysis on manifolds

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Interior-point methods

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Shape constrained additive models

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Some theoretical properties of Silverman's method for smoothed functional principal component analysis

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Variational Analysis

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A recursive algorithm for finding the minimum norm point in a polytope and a pair of closest points in two polytopes

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Smoothed functional principal components analysis by choice of norm

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Forecasting at Scale

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Basic statistics for distributional symbolic variables: a new metric-based approach

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On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming

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Wasserstein autoregressive models for density time series

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5054639

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