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PaperFoundations of Riemannian Geometry for Riemannian Optimization: A Monograph with Detailed DerivationsAuthorship / preprint / 2026PaperOn Manifold Hypothesis: Hypersurface Submanifold Embedding Using Osculating HyperspheresAuthorship / preprint / 2022PaperSpectral, Probabilistic, and Deep Metric Learning: Tutorial and SurveyAuthorship / preprint / 2022PaperFactor Analysis, Probabilistic Principal Component Analysis, Variational Inference, and Variational Autoencoder: Tutorial and SurveyAuthorship / preprint / 2022PaperAffective Manifolds: Modeling Machine's Mind to Like, Dislike, Enjoy, Suffer, Worry, Fear, and Feel Like A HumanAuthorship / preprint / 2022PaperRestricted Boltzmann Machine and Deep Belief Network: Tutorial and SurveyAuthorship / preprint / 2022PaperLaplacian-Based Dimensionality Reduction Including Spectral Clustering, Laplacian Eigenmap, Locality Preserving Projection, Graph Embedding, and Diffusion Map: Tutorial and SurveyAuthorship / preprint / 2022PaperUnified Framework for Spectral Dimensionality Reduction, Maximum Variance Unfolding, and Kernel Learning By Semidefinite Programming: Tutorial and SurveyAuthorship / preprint / 2022 