Found 226 Documents (Results 1–100)
Nonparametric longitudinal regression model to analyze shape data using the procrustes rotation. (English) Zbl 07858472
MSC:
62G08
Covariance-based soft clustering of functional data based on the Wasserstein-Procrustes metric. (English) Zbl 07846685
MSC:
62-XX
A data-dependent approach for high-dimensional (robust) Wasserstein alignment. (English) Zbl 07887809
MSC:
68Wxx
Aitchison’s compositional data analysis 40 years on: a reappraisal. (English) Zbl 07792873
MSC:
62-XX
Rethinking the Riemannian logarithm on flag manifolds as an orthogonal alignment problem. (English) Zbl 1540.58005
Nielsen, Frank (ed.) et al., Geometric science of information. 6th international conference, GSI 2023, St. Malo, France, August 30 – September 1, 2023. Proceedings. Part I. Cham: Springer. Lect. Notes Comput. Sci. 14071, 375-383 (2023).
Procrustes-based distances for exploring between-matrices similarity. (English) Zbl 07770408
MSC:
62-XX
GPAbin: unifying visualizations of multiple imputations for missing values. (English) Zbl 07714529
MSC:
62-XX
Near-optimal bounds for generalized orthogonal Procrustes problem via generalized power method. (English) Zbl 07714155
Procrustes: a Python library to find transformations that maximize the similarity between matrices. (English) Zbl 1516.65161
MSC:
65Y15
Procrustes analysis with deformations: a closed-form solution by eigenvalue decomposition. (English) Zbl 1490.68244
MSC:
68T45
The geometry of mixed-Euclidean metrics on symmetric positive definite matrices. (English) Zbl 1490.53027
Alpha Procrustes metrics between positive definite operators: a unifying formulation for the Bures-Wasserstein and Log-Euclidean/Log-Hilbert-Schmidt metrics. (English) Zbl 1491.15037
A short history of statistical association: from correlation to correspondence analysis to copulas. (English) Zbl 1493.62354
LDLE: low distortion local eigenmaps. (English) Zbl 07626797
MSC:
68T05
The generalized orthogonal procrustes problem in the high noise regime. (English) Zbl 07446775
MSC:
62Hxx
Orthogonal trace-sum maximization: applications, local algorithms, and global optimality. (English) Zbl 1467.49022
An MM method for solving orthogonal unbalanced Procrustes problem. (Chinese. English summary) Zbl 1474.65004
Linear models for statistical shape analysis based on parametrized closed curves. (English) Zbl 1443.62063
Local extrema for procrustes problems in the set of positive definite matrices. (English) Zbl 1442.42073
A unified formulation for the Bures-Wasserstein and log-Euclidean/log-Hilbert-Schmidt distances between positive definite operators. (English) Zbl 1458.62138
Nielsen, Frank (ed.) et al., Geometric science of information. 4th international conference, GSI 2019, Toulouse, France, August 27–29, 2019. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11712, 475-483 (2019).
The two-to-infinity norm and singular subspace geometry with applications to high-dimensional statistics. (English) Zbl 1470.62065
On procrustes matching of non-negative matrices and an application to random tomography. (English) Zbl 1446.65020
Algorithms for the orthographic-\(n\)-point problem. (English) Zbl 1398.68594
J. Math. Imaging Vis. 60, No. 2, 246-266 (2018); erratum ibid. 60, No. 2, 267 (2018).
A semi-analytical approach for the positive semidefinite Procrustes problem. (English) Zbl 1380.65103
The generalized orthogonal solutions of the matrix inverse problem \(AX = B\) and optimal approximation. (English) Zbl 1499.15059
Subspace Procrustes analysis. (English) Zbl 1458.68245
Uncertainty characterization of the orthogonal Procrustes problem with arbitrary covariance matrices. (English) Zbl 1435.62196
Bayesian comparison of protein structures using partial Procrustes distance. (English) Zbl 1371.92102
A unified approach to PDE-driven morphology for fields of orthogonal and generalized doubly-stochastic matrices. (English) Zbl 1479.94018
Angulo, Jesús (ed.) et al., Mathematical morphology and its applications to signal and image processing. 13th international symposium, ISMM 2017, Fontainebleau, France, May 15–17, 2017. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 10225, 284-295 (2017).
MSC:
94A08
On the correspondence between Procrustes analysis and bidimensional regression. (English) Zbl 1364.62166
Non-monotone algorithm for minimization on arbitrary domains with applications to large-scale orthogonal Procrustes problem. (English) Zbl 1354.65120
Regularisation, interpolation and visualisation of diffusion tensor images using non-Euclidean statistics. (English) Zbl 1514.62982
MSC:
62-XX
The \(k\)-means algorithm for 3D shapes with an application to apparel design. (English) Zbl 1414.62295
Procrustes problems and inverse eigenproblems for multilevel block \(\alpha\)-circulants. (English) Zbl 1413.15030
Procrustes problems for several special circulant matrices. (Chinese. English summary) Zbl 1363.65072
Structured Procrustes problem. (English) Zbl 1329.15038
A real symmetric five-diagonal matrix Procrustes problem. (Chinese. English summary) Zbl 1340.65078
On matching point configurations. (English) Zbl 1469.65063
Ivanov, Kamen (ed.) et al., Constructive theory of functions. Dedicated to Blagovest Sendov and to the memory of Vasil Popov. Proceedings of the 11th international conference, Sozopol, Bulgaria, June 9–14, 2013. Sofia: Prof. Marin Drinov Academic Publishing House. 141-154 (2014).
Using generalized Procrustes analysis for multiple imputation in principal component analysis. (English) Zbl 1360.62307
Partial Lagrangian relaxation for the unbalanced orthogonal Procrustes problem. (English) Zbl 1291.90163
Constrained principal component analysis and related techniques. (English) Zbl 1282.62150
Monographs on Statistics and Applied Probability 129. Boca Raton, FL: CRC Press (ISBN 978-1-4665-5666-9/hbk; 978-1-4665-5668-3/ebook). xvii, 233 p. (2014).
Reviewer: Yuehua Wu (Toronto)
Multiple factor analysis: principal component analysis for multitable and multiblock data sets. (English) Zbl 1540.62004
MSC:
62-08
A restrained condition number least squares technique with its applications to avoiding rank deficiency. (English) Zbl 1326.65020
MSC:
65C60
65F30
Exploratory factor and principal component analyses: some new aspects. (English) Zbl 1322.62043
MSC:
62-07
62H25
Generalized joint Procrustes analysis. (English) Zbl 1306.65016
MSC:
62-08
Zig-zag exploratory factor analysis with more variables than observations. (English) Zbl 1305.65081
MSC:
62-08
A functional spatio-temporal model for geometric shape analysis. (English) Zbl 1300.62098
Torelli, Nicola (ed.) et al., Advances in theoretical and applied statistics. Selected papers based on the presentations at the 45th meeting of the Italian Statistical Society (SIS), Padua, Italy, June 16–18, 2010. Berlin: Springer (ISBN 978-3-642-35587-5/hbk; 978-3-642-35588-2/ebook). Studies in Theoretical and Applied Statistics. Selected Papers of the Statistical Societies, 75-86 (2013).
Factor uniqueness in the S\(\&\)P 500 universe: can proprietary factors exist? (English) Zbl 1271.91087
Shape spaces via medial axis transforms for segmentation of complex geometry in 3D voxel data. (English) Zbl 06174325
Continuous Procrustes distance between two surfaces. (English) Zbl 1276.68157
Reviewer: Hans-Peter Schröcker (Innsbruck)
Procrustes analysis of truncated least squares multidimensional scaling. (English) Zbl 1413.62087
MSC:
62H35
65C60
Bayesian matching of unlabeled point sets using Procrustes and configuration models. (English) Zbl 1330.62138
Procrustes analysis and the goodness-of-fit of biplots: some thoughts and findings. (English) Zbl 1338.62016
On the meaning of mean shape: manifold stability, locus and the two sample test. (English) Zbl 1440.62201
Nonmonotone algorithm for minimization on closed sets with applications to minimization on Stiefel manifolds. (English) Zbl 1239.65035
Reviewer: Hang Lau (Montréal)
On symmetric and skew-symmetric solutions to a Procrustes problem. (English) Zbl 1251.65052
Van Dooren, Paul (ed.) et al., Numerical linear algebra in signals, systems and control. Selected papers based on the presentations at the international workshop, Kharagpur, India, January 9–11, 2007. In honor of Prof. Biswa Nath Datta. New York, NY: Springer (ISBN 978-94-007-0601-9/hbk; 978-94-007-0602-6/ebook). Lecture Notes in Electrical Engineering 80, 201-215 (2011).
Bayesian matching of unlabeled marked point sets using random fields, with an application to molecular alignment. (English) Zbl 1234.62141
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