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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。
Sometime in 2019, MIT PhD student Ajay Brahmakshatriya formulated a simple, though still quite challenging, goal. He wanted to make it possible for people who had expertise in a particular domain — su...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A Squared Smoothing Newton Method for Semidefinite Programming
半定规划 平方平滑 牛顿方法
2023/4/14
This paper proposes a squared smoothing Newton method via the Huber smoothing function for solving semidefinite programming problems (SDPs). We first study the fundamental properties of the matrix-val...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Stable commutator length and linear programming
换向器长度 线性规划 曲面 拓扑优化
2023/4/18
Several topological optimization problems involving surfaces can be turned into linear programming problems. In the case of stable commutator length, this was first discovered by Danny Calegari in the...
A Cornell team has created an interface that allows users to handwrite and sketch within computer code – a challenge to conventional coding, which typically relies on typing.
Moore’s Law needs a hug. The days of stuffing transistors on little silicon computer chips are numbered, and their life rafts — hardware accelerators — come with a price.
High-performance computing is needed for an ever-growing number of tasks — such as image processing or various deep learning applications on neural nets — where one must plow through immense piles of ...