%0 Journal Article
%T 基于加权张量Schatten-p范数的鲁棒张量补全<br>Robust Tensor Completion Based on Weighted Tensor Schatten-p Norm
%A 陈梦炜
%J Advances in Applied Mathematics
%P 211-216
%@ 2324-8009
%D 2025
%I Hans Publishing
%R 10.12677/aam.2025.141024
%X 本文提出一种加权张量Schatten-p范数(0 &lt; p &lt; 1)正则化器用于鲁棒张量补全。建立了与增广拉格朗日乘子相关的相应算法。尽管所提加权张量Schatten-p拟范数是非凸的&#65292;但它不仅对奇异值的惩罚较小&#65292;而且能有效捕捉低秩特性。<br>In this paper, we present a weighted tensor Schatten-p norm (0 &lt; p &lt;1) regularizer for robust tensor completion. Corresponding algorithms associated with augmented Lagrangian multipliers are established. Although the proposed weighted tensor Schatten-p quasi-norm is non-convex, it appears not only to less penalize the singular values but also to be effective in capturing the low-rank property.
%K 鲁棒张量补全&#65292
%K 加权张量Schatten-p范数&#65292
%K 非凸&#65292
%K 变换张量奇异值分解<br>Robust Tensor Completion
%K Weighted Tensor Schatten-p Norm
%K Non-Convex
%K Transformed Tensor Singular Value Decomposition
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=106416