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math.OC2026
Explicit Convergence Regions of PID-Damped Accelerated Gradient Methods in Nonconvex Optimization
Ailun Jian, Xun Li, Weigang Sun +1
Momentum-based accelerated gradient methods are widely adopted to expedite convergence in nonconvex optimization, but are prone to overshooting and oscillatory behavior. A class of…
math.OC2023
Variable T-Product and Zero-Padding Tensor Completion with Applications
Liqun Qi, Rui Yan, Ziyan Luo +2
The T-product method based upon Discrete Fourier Transformation (DFT) has found wide applications in engineering, in particular, in image processing. In this paper, we propose vari…
math.OC2020
Accelerating Power Methods for Higher-order Markov Chains
Gaohang Yu, Yi Zhou, Laishui Lv
Higher-order Markov chains play a very important role in many fields, ranging from multilinear PageRank to financial modeling. In this paper, we propose three accelerated higher-or…