Все публикации

1:05:10

PIMS Marsden Memorial Lecture by Melvin Leok at UNBC in March 2023

0:20:53

EM algorithm applied to Gaussian mixtures

0:34:43

Minimizing divergence between a model manifold and a data manifold

0:17:51

Boltzmann machine with hidden units

0:10:55

Gaussian mixture model as a system with hidden variables

0:28:12

Statistical models with hidden variables

0:23:16

Asymptotic Theory of Hypothesis Testing

0:24:01

Higher-order Asymptotic Theory of Estimation

0:30:41

First-order Asymptotic Theory of Estimation

0:35:10

Estimation in a Curved Exponential Family

0:14:38

Estimation in the Exponential Family

0:25:51

Estimation in the context of statistical inference

0:38:58

Canonical divergence in dually flat manifolds

0:16:22

Dually Flat Manifolds

0:20:42

Metric and Cubic Tensor Derived from Divergence or Convex Functions

0:26:20

Dual affine connections

0:16:39

Levi-Civita (Riemannian) connection

0:25:31

Holonomy (Round-the-world transport)

0:08:18

Flat manifolds

0:15:12

Parallel transport of a vector

0:13:26

Geodesics

0:23:08

Covariant derivatives using affine connections

0:26:55

Tensors

0:26:27

Affine connections