Melvin Leok

Melvin Leok

University of California, San Diego

H-index: 33

North America-United States

About Melvin Leok

Melvin Leok, With an exceptional h-index of 33 and a recent h-index of 20 (since 2020), a distinguished researcher at University of California, San Diego, specializes in the field of Geometric Mechanics, Geometric Control Theory, Geometric Integration.

His recent articles reflect a diverse array of research interests and contributions to the field:

On Properties of Adjoint Systems for Evolutionary PDEs

A Structure-Preserving Approach to Maxwell-Vlasov

Geometric methods for adjoint systems

Type II Hamiltonian Lie Group Variational Integrators with Applications to Geometric Adjoint Sensitivity Analysis

Practical perspectives on symplectic accelerated optimization

Lie Group Variational Collision Integrators for a Class of Hybrid Systems

Safe Stabilizing Control for Polygonal Robots in Dynamic Elliptical Environments

Simplifying momentum-based positive-definite submanifold optimization with applications to deep learning

Melvin Leok Information

University

Position

Professor of Mathematics

Citations(all)

5290

Citations(since 2020)

2383

Cited By

3800

hIndex(all)

33

hIndex(since 2020)

20

i10Index(all)

71

i10Index(since 2020)

42

Email

University Profile Page

Google Scholar

Melvin Leok Skills & Research Interests

Geometric Mechanics

Geometric Control Theory

Geometric Integration

Top articles of Melvin Leok

On Properties of Adjoint Systems for Evolutionary PDEs

arXiv preprint arXiv:2404.02320

2024/4/2

Melvin Leok
Melvin Leok

H-Index: 19

A Structure-Preserving Approach to Maxwell-Vlasov

Bulletin of the American Physical Society

2024/3/7

Melvin Leok
Melvin Leok

H-Index: 19

Geometric methods for adjoint systems

Journal of Nonlinear Science

2024/2

Melvin Leok
Melvin Leok

H-Index: 19

Type II Hamiltonian Lie Group Variational Integrators with Applications to Geometric Adjoint Sensitivity Analysis

arXiv preprint arXiv:2311.03527

2023/11/6

Melvin Leok
Melvin Leok

H-Index: 19

Practical perspectives on symplectic accelerated optimization

Optimization Methods and Software

2023/11/2

Melvin Leok
Melvin Leok

H-Index: 19

Lie Group Variational Collision Integrators for a Class of Hybrid Systems

arXiv preprint arXiv:2310.15356

2023/10/23

Melvin Leok
Melvin Leok

H-Index: 19

Safe Stabilizing Control for Polygonal Robots in Dynamic Elliptical Environments

arXiv preprint arXiv:2310.00273

2023/9/30

Melvin Leok
Melvin Leok

H-Index: 19

Simplifying momentum-based positive-definite submanifold optimization with applications to deep learning

2023/7/3

Lie group forced variational integrator networks for learning and control of robot systems

2023/6/6

Melvin Leok
Melvin Leok

H-Index: 19

Nearly Periodic Maps and Geometric Integration of Noncanonical Hamiltonian Systems

Journal of Nonlinear Science

2023/4

Simplifying Momentum-based Riemannian Submanifold Optimization

arXiv preprint arXiv:2302.09738

2023/2

Variational accelerated optimization on Riemannian manifolds

IEICE Proceedings Series

2022/12/12

Melvin Leok
Melvin Leok

H-Index: 19

Practical Structured Riemannian Optimization with Momentum by using Generalized Normal Coordinates

2022/11/7

Accelerated optimization on Riemannian manifolds via discrete constrained variational integrators

Journal of Nonlinear Science

2022/8

Melvin Leok
Melvin Leok

H-Index: 19

Safe control synthesis with uncertain dynamics and constraints

IEEE Robotics and Automation Letters

2022/6/20

Discrete Dirac reduction of implicit Lagrangian systems with abelian symmetry groups

arXiv preprint arXiv:2202.00803

2022/2/1

Melvin Leok
Melvin Leok

H-Index: 19

High-order symplectic Lie group methods on using the polar decomposition

arXiv preprint arXiv:2201.10768

2022/1/26

Melvin Leok
Melvin Leok

H-Index: 19

Time-adaptive Lagrangian variational integrators for accelerated optimization on manifolds

arXiv preprint arXiv:2201.03774

2022/1/11

Melvin Leok
Melvin Leok

H-Index: 19

Multisymplectic Hamiltonian variational integrators

International Journal of Computer Mathematics

2022/1/2

Melvin Leok
Melvin Leok

H-Index: 19

A variational formulation of accelerated optimization on Riemannian manifolds

SIAM Journal on Mathematics of Data Science

2022

Melvin Leok
Melvin Leok

H-Index: 19

See List of Professors in Melvin Leok University(University of California, San Diego)

Co-Authors

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