Handbook of Variational Methods for Nonlinear Geometric Data

Edited by Philipp Grohs (), Martin Holler () and Andreas Weinmann ()

in Springer Books from Springer

Date: 2020
ISBN: 978-3-030-31351-7
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Chapters in this book:

Ch Chapter 1 Geometric Finite Elements

Hanne Hardering and Oliver Sander

Ch Chapter 10 Statistical Methods Generalizing Principal Component Analysis to Non-Euclidean Spaces

Stephan Huckemann and Benjamin Eltzner

Ch Chapter 11 Advances in Geometric Statistics for Manifold Dimension Reduction

Xavier Pennec

Ch Chapter 12 Deep Variational Inference

Iddo Drori

Ch Chapter 13 Shape Analysis of Functional Data

Xiaoyang Guo and Anuj Srivastava

Ch Chapter 14 Statistical Analysis of Trajectories of Multi-Modality Data

Jingyong Su, Mengmeng Guo, Zhipeng Yang and Zhaohua Ding

Ch Chapter 15 Geometric Metrics for Topological Representations

Anirudh Som, Karthikeyan Natesan Ramamurthy and Pavan Turaga

Ch Chapter 16 On Geometric Invariants, Learning, and Recognition of Shapes and Forms

Gautam Pai, Mor Joseph-Rivlin, Ron Kimmel and Nir Sochen

Ch Chapter 17 Sub-Riemannian Methods in Shape Analysis

Laurent Younes, Barbara Gris and Alain Trouvé

Ch Chapter 18 First Order Methods for Optimization on Riemannian Manifolds

Orizon P. Ferreira, Maurício S. Louzeiro and Leandro F. Prudente

Ch Chapter 19 Recent Advances in Stochastic Riemannian Optimization

Reshad Hosseini and Suvrit Sra

Ch Chapter 2 Non-smooth Variational Regularization for Processing Manifold-Valued Data

Martin Holler and Andreas Weinmann

Ch Chapter 20 Averaging Symmetric Positive-Definite Matrices

Xinru Yuan, Wen Huang, Pierre-Antoine Absil and Kyle A. Gallivan

Ch Chapter 21 Rolling Maps and Nonlinear Data

Knut Hüper, Krzysztof A. Krakowski and Fátima Silva Leite

Ch Chapter 22 Manifold-Valued Data in Medical Imaging Applications

Maximilian Baust and Andreas Weinmann

Ch Chapter 23 The Riemannian and Affine Geometry of Facial Expression and Action Recognition

Mohamed Daoudi, Juan-Carlos Alvarez Paiva and Anis Kacem

Ch Chapter 24 Biomedical Applications of Geometric Functional Data Analysis

James Matuk, Shariq Mohammed, Sebastian Kurtek and Karthik Bharath

Ch Chapter 3 Lifting Methods for Manifold-Valued Variational Problems

Thomas Vogt, Evgeny Strekalovskiy, Daniel Cremers and Jan Lellmann

Ch Chapter 4 Geometric Subdivision and Multiscale Transforms

Johannes Wallner

Ch Chapter 5 Variational Methods for Discrete Geometric Functionals

Henrik Schumacher and Max Wardetzky

Ch Chapter 6 Variational Methods for Fluid-Structure Interactions

François Gay-Balmaz and Vakhtang Putkaradze

Ch Chapter 7 Convex Lifting-Type Methods for Curvature Regularization

Ulrich Böttcher and Benedikt Wirth

Ch Chapter 8 Assignment Flows

Christoph Schnörr

Ch Chapter 9 Geometric Methods on Low-Rank Matrix and Tensor Manifolds

André Uschmajew and Bart Vandereycken

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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprbok:978-3-030-31351-7

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DOI: 10.1007/978-3-030-31351-7

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