4 papers
On Approximation Algorithms for Commutative Quaternion Polynomial Optimization
Chang He, Bo Jiang, Hongye Wang +1
Quaternion optimization has attracted significant interest due to its broad applications, including color face recognition, video compression, and signal processing. Despite the gr…
The Second-Order Tâtonnement: Decentralized Interior-Point Methods for Market Equilibrium
Chuwen Zhang, Chang He, Bo Jiang +1
The tâtonnement process and Smale's process are two classical approaches to compute market equilibrium in exchange economies. While the tâtonnement process can be seen as a first-o…
Federated Learning on Riemannian Manifolds: A Gradient-Free Projection-Based Approach
Hongye Wang, Zhaoye Pan, Chang He +2
Federated learning (FL) has emerged as a powerful paradigm for collaborative model training across distributed clients while preserving data privacy. However, existing FL algorithm…
On Relatively Smooth Optimization over Riemannian Manifolds
Chang He, Jiaxiang Li, Bo Jiang +2
We study optimization over Riemannian embedded submanifolds, where the objective function is relatively smooth in the ambient Euclidean space. Such problems have broad applications…