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math.OC2025
History-Aware Adaptive High-Order Tensor Regularization
Chang He, Bo Jiang, Yuntian Jiang +2
In this paper, we develop a new adaptive regularization method for minimizing a composite function, which is the sum of a th-order () Lipschitz continuous function and…
math.OC2025
Accelerating Trust-Region Methods: An Attempt to Balance Global and Local Efficiency
Yuntian Jiang, Chuwen Zhang, Bo Jiang +1
Balancing global efficiency and local convergence remains a central challenge in second-order methods for unconstrained convex optimization problems. Newton's method enjoys fast lo…
math.OC2025
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…