Insights into the Geometry of the Gaussian Kernel and an Application in Geometric Modeling

Master Thesis, Michael Eigensatz, Joachim Giesen, Mark V. Pauly

Type: Article

Publication Date: 2006-01-01

Citations: 12

Similar Works

Action	Title	Year	Authors
+	A geometric approach to the Gaussian law	1995	Wolf‐Dieter Richter
+	Geometric data analysis, beyond convolutions	2020	Jean Feydy
+	A Gentle Introduction to the Kernel Distance	2011	Jeff M. Phillips Suresh Venkatasubramanian
+	On the Geometry of Multivariate Generalized Gaussian Models	2011	Geert Verdoolaege Paul Scheunders
+	Geometric methods in machine learning and data mining	2012	Hal Daumé Arvind Agarwal
+	An efficient Riemannian statistical shape model using differential coordinates	2017	Christoph von Tycowicz Felix Ambellan Anirban Mukhopadhyay Stefan Zachow
+	On the Gaussian representation of intrinsic volumes	2007	R. A. Vitale
+	Geometric Interpretation of a Covariance Matrix	1982	A. Drożyner
+	Non-Gaussian Geometry	2009
+ PDF Chat	The GeometricKernels Package: Heat and Mat\'ern Kernels for Geometric Learning on Manifolds, Meshes, and Graphs	2024	Peter Mostowsky Vincent Dutordoir Iskander Azangulov Noémie Jaquier Michael Hutchinson Aditya Ravuri Leonel Rozo Alexander Terenin Viacheslav Borovitskiy
+	Pattern Learning and Recognition on Statistical Manifolds: An Information-Geometric Review	2013	Frank Nielsen
+	Generalizing the Mahalanobis distance via density kernels	2014	Gabriel Martos Alberto Muñoz Javier González
+ PDF Chat	A k-points-based distance for robust geometric inference	2019	Claire Brécheteau Clément Levrard
+	Nonparametric fisher geometry with application to density estimation	2020	Andrew J. Holbrook Shiwei Lan Jeffrey Streets Babak Shahbaba
+	Statistics on manifolds and landmarks based image analysis: A nonparametric theory with applications	2013	Rabi Bhattacharya Vic Patrangenaru
+ PDF Chat	Analytic methods for geometric modeling via spherical decomposition	2015	Morad Behandish Horea T. Ilieş
+	Geometric morphometrics: An extension of the revolution	1993	Marco Corti
+	Riemannian statistics geometry: A counterpart approach of inference geometry	2011	L. Velázquez
+	Introduction to geometric morphometrics	2013	Gould Francois
+	Geometric Structures on a Statistical Manifold and Geometry of Estimation	2015	K. V. Harsha

Works That Cite This (1)

Action	Title	Year	Authors
+	Kernel Principal Geodesic Analysis	2014	Suyash P. Awate Yen-Yun Yu Ross T. Whitaker

Works Cited by This (1)

Action	Title	Year	Authors
+	Ridges, Ravines and Singularities	1997	Alexander Belyaev Elena Anoshkina T. Kunii