6 citations · 7 across the 10 of their papers we have counts for
6 papers · 1 filter
A Continuous-Time Analysis of Smoothed Matrix-Polar Spectral Gradient Flows for Muon-Type Optimization
Jinlin Liu, Song Chen, Jiaxu Liu +1
This paper studies smoothed matrix-polar spectral gradient flows for unconstrained matrix-valued optimization.The canonical polar-factor map loses smoothness at rank-deficient matr…
A Backstepping Framework for Unconstrained Accelerated Optimization Algorithms
Song Chen, Jiaxu Liu, Chao Xu
This paper introduces a control-theoretic perspective on unconstrained optimization algorithms using the backstepping methods. We model the optimization process as an augmented str…
Accelerated Distributed Aggregative Optimization
Jiaxu Liu, Song Chen, Shengze Cai +2
This paper delves into the investigation of a distributed aggregative optimization problem within a network. In this scenario, each agent possesses its own local cost function, whi…
Accelerated Distributed Aggregative Optimization
Jiaxu Liu, Song Chen, Shengze Cai +1
In this paper, we investigate a distributed aggregative optimization problem in a network, where each agent has its own local cost function which depends not only on the local stat…
The Novel Adaptive Fractional Order Gradient Decent Algorithms Design via Robust Control
Jiaxu Liu, Song Chen, Shengze Cai +1
The vanilla fractional order gradient descent may oscillatively converge to a region around the global minimum instead of converging to the exact minimum point, or even diverge, in…
Neural Observer with Lyapunov Stability Guarantee for Uncertain Nonlinear Systems
Song Chen, Shengze Cai, Tehuan Chen +2
In this paper, we propose a novel nonlinear observer based on neural networks, called neural observer, for observation tasks of linear time-invariant (LTI) systems and uncertain no…