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Lie group collision variational integrator - bouncing cube/dice simulation - Example 5
PIMS Marsden Memorial Lecture by Melvin Leok at UNBC in March 2023
EM algorithm applied to Gaussian mixtures
Minimizing divergence between a model manifold and a data manifold
Boltzmann machine with hidden units
Gaussian mixture model as a system with hidden variables
Statistical models with hidden variables
Asymptotic Theory of Hypothesis Testing
Higher-order Asymptotic Theory of Estimation
First-order Asymptotic Theory of Estimation
Estimation in a Curved Exponential Family
Estimation in the Exponential Family
Estimation in the context of statistical inference
Canonical divergence in dually flat manifolds
Dually Flat Manifolds
Metric and Cubic Tensor Derived from Divergence or Convex Functions
Dual affine connections
Levi-Civita (Riemannian) connection
Holonomy (Round-the-world transport)
Flat manifolds
Parallel transport of a vector
Geodesics
Covariant derivatives using affine connections
Tensors