Melvin Leok

Melvin Leok

Melvin Leok is a professor of mathematics at the University of California, San Diego, where his research is supported by grants from NSF, AFOSR, and DoD, including the NSF CAREER Award, and the DoD Newton Award for Transformative Ideas. He is a NAS Kavli Frontiers of Science Fellow, a Simons Fellow in Mathematics, and received the SciCADE New Talent Prize, SIAM Student Paper Prize, and Leslie Fox Prize in Numerical Analysis. He gave plenary talks at Foundations of Computational Mathematics, NUMDIFF, and the IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control.

He is affiliated with the Center for Control Systems and Dynamics, the Contextual Robotics Institute, the Halicioglu Data Science Institute, and the NSF AI Institute, TILOS.

Available as a consultant for modeling, simulating, controlling, quantifying uncertainty, machine learning, and optimization for large scale interconnected systems that evolve on nonlinear configuration spaces.

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

1:05:10

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

Жыл бұрын

EM algorithm applied to Gaussian mixtures

20:53

EM algorithm applied to Gaussian mixtures

2 жыл бұрын

Minimizing divergence between a model manifold and a data manifold

34:43

Minimizing divergence between a model manifold and a data manifold

2 жыл бұрын

Boltzmann machine with hidden units

17:51

Boltzmann machine with hidden units

2 жыл бұрын

Gaussian mixture model as a system with hidden variables

10:55

Gaussian mixture model as a system with hidden variables

2 жыл бұрын

Statistical models with hidden variables

28:12

Statistical models with hidden variables

2 жыл бұрын

Asymptotic Theory of Hypothesis Testing

23:16

Asymptotic Theory of Hypothesis Testing

2 жыл бұрын

Higher-order Asymptotic Theory of Estimation

24:01

Higher-order Asymptotic Theory of Estimation

2 жыл бұрын

First-order Asymptotic Theory of Estimation

30:41

First-order Asymptotic Theory of Estimation

2 жыл бұрын

Estimation in a Curved Exponential Family

35:10

Estimation in a Curved Exponential Family

2 жыл бұрын

Estimation in the Exponential Family

14:38

Estimation in the Exponential Family

2 жыл бұрын

Estimation in the context of statistical inference

25:51

Estimation in the context of statistical inference

2 жыл бұрын

Canonical divergence in dually flat manifolds

38:58

Canonical divergence in dually flat manifolds

2 жыл бұрын

Dually Flat Manifolds

16:22

Dually Flat Manifolds

2 жыл бұрын

Metric and Cubic Tensor Derived from Divergence or Convex Functions

20:42

Metric and Cubic Tensor Derived from Divergence or Convex Functions

2 жыл бұрын

Dual affine connections

26:20

Dual affine connections

2 жыл бұрын

Levi-Civita (Riemannian) connection

16:39

Levi-Civita (Riemannian) connection

2 жыл бұрын

Holonomy (Round-the-world transport)

25:31

Holonomy (Round-the-world transport)

2 жыл бұрын

Flat manifolds

8:18

2 жыл бұрын

Parallel transport of a vector

15:12

Parallel transport of a vector

2 жыл бұрын

Geodesics

13:26

2 жыл бұрын

Covariant derivatives using affine connections

23:08

Covariant derivatives using affine connections

2 жыл бұрын

Tensors

26:55

2 жыл бұрын

Affine connections

26:27

Affine connections

2 жыл бұрын

Riemannian metric

20:00

Riemannian metric

2 жыл бұрын

Manifolds and Tangent Spaces

31:11

Manifolds and Tangent Spaces

2 жыл бұрын

Tangent vectors under changes of coordinates

5:41

Tangent vectors under changes of coordinates

2 жыл бұрын

Repeated observations and maximum likelihood estimators

23:01

Repeated observations and maximum likelihood estimators

2 жыл бұрын

Mutual information

13:24

Mutual information

2 жыл бұрын

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