Optimization on Manifolds via Graph Gaussian Processes

DOI10.1137/22m1529907arXiv2210.10962OpenAlexW4391476838MaRDI QIDQ6151665

Daniel Sanz-Alonso, Hwanwoo Kim, Ruiyi Yang

Publication date: 12 February 2024

Published in: SIAM Journal on Mathematics of Data Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.10962

zbMATH Keywords

manifold learningBayesian optimizationgraph Gaussian processes

Mathematics Subject Classification ID

Gaussian processes (60G15) Bayesian inference (62F15) Nonconvex programming, global optimization (90C26) Learning and adaptive systems in artificial intelligence (68T05) Graph algorithms (graph-theoretic aspects) (05C85)

Cites Work

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• BART: Bayesian additive regression trees
• An Explicit Link between Gaussian Fields and Gaussian Markov Random Fields: The Stochastic Partial Differential Equation Approach
• The Rational SPDE Approach for Gaussian Random Fields With General Smoothness
• Strictly and non-strictly positive definite functions on spheres
• The SPDE approach to Matérn fields: graph representations
• Optimization on flag manifolds
• Error estimates for spectral convergence of the graph Laplacian on random geometric graphs toward the Laplace-Beltrami operator
• A brief introduction to manifold optimization
• Diffusion maps
• Bound-constrained global optimization of functions with low effective dimensionality using multiple random embeddings
• Bayesian Optimization in a Billion Dimensions via Random Embeddings
• Continuum Limits of Posteriors in Graph Bayesian Inverse Problems
• The Geometry of Algorithms with Orthogonality Constraints
• Gaussian Process Landmarking on Manifolds
• Graph-based prior and forward models for inverse problems on manifolds with boundaries
• An Introduction to Optimization on Smooth Manifolds
• Kernel Methods for Bayesian Elliptic Inverse Problems on Manifolds
• Inconsistent Estimation and Asymptotically Equal Interpolations in Model-Based Geostatistics
• Dispersion on a Sphere
• Graph Based Gaussian Processes on Restricted Domains
• Global optimization using random embeddings

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