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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Linear Programming on the Stiefel Manifold
Stiefel流形 线性规划 线性函数
2023/12/11
我们研究Stiefel流形上线性规划(LPS)：其目标是线性函数，变量是p个n维空间正交向量（即Stiefel流形约束,p<=n），额外再满足k个线性约束。据我们所知，该模型首次被研究。k=0的(LPS)是一个经典的多项式可解问题。
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Real-time tool path planning using deep learning for subtractive manufacturing
深度学习 减材制造 实时刀具 路径规划
2023/4/25
Tool path planning is a crucial factor of computer-aided design and manufacturing (CAD/CAM). To generate suitable tool paths, the previous methods often transform the problem into local or global opti...
3维O(N)线性sigma模型的大N极限
3维O(N) 线性sigma模型 大N极限
2023/1/5
In this paper we study the large N limit of the O(N)-invariant linear sigma model, which is a vector-valued generalization of the Φ4\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasys...
辨识切换线性系统的持续激励条件
辨识 线性系统 持续激励条件
2023/1/5
This paper investigates the uniqueness of parameters via persistence of excitation for switched linear systems. The main contribution is a much weaker sufficient condition on the regressors to be pers...