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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Towards Provably Efficient Quantum Algorithms for Nonlinear Dynamics and Large-scale Machine Learning Models
非线性动力学 机器学习模型 高效量子算法
2023/4/13
Nonlinear dynamics play a prominent role in many domains and are notoriously difficult to solve. Whereas previous quantum algorithms for general nonlinear equations have been severely limited due to t...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Quantum Algorithms for High-Dimensional Sampling Problems
高维采样 量子算法 高维抽样问题
2023/4/14
High-dimensional sampling problems are ubiquitous in statistics, operations research, machine learning, etc. In this talk, I will introduce quantum algorithms for two important problems in high-dimens...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Efficient algorithms for the anisotropic dendritic crystal models
各向异性 树枝状晶体 有效算法
2023/4/14
We consider numerical approximations of the anisotropic phase-field dendritic crystal growth model. This is a highly complex coupled nonlinear system consisting of the anisotropic Allen-Cahn equation,...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Implicit biases of optimization algorithms for neural networks and their effects on generalization
神经网络 优化算法 隐式偏差 泛化的影响
2023/4/26
Modern neural networks are usually over-parameterized—the number of parameters exceeds the number of training data. In this case the loss functions tend to have many (or even infinite) global minima, ...
Algorithms developed in Cornell’s Laboratory for Intelligent Systems and Controls can predict the in-game actions of volleyball players with more than 80% accuracy, and now the lab is collaborating wi...