2 papers
math.OC2025
Efficient Implementation of Third-Order Tensor Methods with Adaptive Regularization for Unconstrained Optimization
Coralia Cartis, Raphael Hauser, Yang Liu +2
High-order tensor methods that employ local Taylor models of degree within adaptive regularization frameworks (AR) have recently received significant attention, due to their…
math.OC2025
Local Convergence of Adaptively Regularized Tensor Methods
Karl Welzel, Yang Liu, Raphael A. Hauser +1
Optimization methods that make use of derivatives of the objective function up to order are called tensor methods. Among them, ones that minimize a regularized th-order…