Concurrent gradient estimation for multiclass networks via ersatz estimators

2004 ◽  
Author(s):  
F.J. Vazquez-Abad
Keyword(s):  
Gradient Estimation ◽  
Multiclass Networks

scholarly journals Adaptive Gradient Estimation Stochastic Parallel Gradient Descent Algorithm for Laser Beam Cleanup

Photonics ◽  
2021 ◽  
Vol 8 (5) ◽  
pp. 165
Author(s):  
Shiqing Ma ◽  
Ping Yang ◽  
Boheng Lai ◽  
Chunxuan Su ◽  
Wang Zhao ◽  
...  
Keyword(s):  
Solid State ◽  
Adaptive Optics ◽  
Gradient Descent ◽  
Solid State Laser ◽  
Gradient Estimation ◽  
State Laser ◽  
Gradient Descent Algorithm ◽  
Stochastic Parallel Gradient Descent ◽  
High Output ◽  
Improved Algorithm

For a high-power slab solid-state laser, obtaining high output power and high output beam quality are the most important indicators. Adaptive optics systems can significantly improve beam qualities by compensating for the phase distortions of the laser beams. In this paper, we developed an improved algorithm called Adaptive Gradient Estimation Stochastic Parallel Gradient Descent (AGESPGD) algorithm for beam cleanup of a solid-state laser. A second-order gradient of the search point was introduced to modify the gradient estimation, and it was introduced with the adaptive gain coefficient method into the classical Stochastic Parallel Gradient Descent (SPGD) algorithm. The improved algorithm accelerates the search for convergence and prevents it from falling into a local extremum. Simulation and experimental results show that this method reduces the number of iterations by 40%, and the algorithm stability is also improved compared with the original SPGD method.

Extremum seeking control and gradient estimation based on the Super-Twisting algorithm

2021 ◽  
Vol 105 ◽  
pp. 223-235
Author(s):  
Ixbalank Torres-Zúñiga ◽  
Fernando López-Caamal ◽  
Héctor Hernández-Escoto ◽  
Víctor Alcaraz-González
Keyword(s):  
Extremum Seeking ◽  
Gradient Estimation ◽  
Extremum Seeking Control ◽  
Twisting Algorithm
Sign in / Sign up

Export Citation Format

Share Document