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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Robust Generalization Requires Exponentially Large Models
鲁棒泛化 指数级大 模型
2023/5/15
It is well-known that modern neural networks are vulnerable to adversarial examples. To mitigate this problem, a series of robust learning algorithms have been proposed. However, although the robust t...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：含任意未知输入下的状态估计与参数辨识
任意未知输入 状态估计 参数辨识
2023/5/10
现存的含未知输入系统的卡尔曼滤波方法假设噪声协方差矩阵已知而且要求系统强可观。针对实际中广泛存在的不精确知道噪声协方差矩阵或系统非强可观的情况，如何在工程应用如机器人定位中实现卡尔曼滤波是一个重要且亟需解决的难题。本报告中，报告人将探讨含未知输入滤波领域的研究现状，并以基于相关性的方法为典型，讨论含未知输入下噪声协方差矩阵的可辨识性问题。如果时间允许，报告人也将探讨其在机器人智能感知与决策方面的一...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Strichartz estimates for wave equations with a potential in non-trapping exterior domains
斯特里查茨估计 非陷阱外域 波动方程
2023/4/14
Consider the linear wave equations with a potential outside a compact set with a non-trapping boundary condition. Assuming that the potential satisfies an appropriate decreasing condition and that zer...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Recent Advances in L1, L21, L12 Research
鲁棒主成分分析 L21误差函数 异常值正则化
2023/4/17
We report 3 recent works along this direction: (A) The nature of L1, L21 error function robustness, using an outlier regularization framework.（B）Labeled robust principal component analysis (RPCA), by ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Estimation of Common Factors for Microstructure Noise and Effcient Price in a High-frequency Dual Factor Model
高频双因子模型 微结构 噪声公因数 效率价格 估计
2023/4/17
We develop the Double Principal Component Analysis (DPCA) based on a dual factor structure for high-frequency intraday returns contaminated by microstructure noise. The dual factor structure allows a ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Generalization of Graph Neural Networks and Graph Structural Learning for Robust Representation
图神经网络 泛化 图结构学习 鲁棒表示
2023/4/18
This report consists of two parts associated with graph neural networks: generalization and graph structural learning. We first study the Rademacher complexity of GNNs, as one of independent-algorithm...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Robust Formation Control for Multiple Unmanned Aerial Vehicles
无人机 稳健 编队控制
2023/4/21
The formation control problem for a group of unmanned aerial vehicles (UAVs) has attracted significant attention recently in multiple fields, such as robotics, aerospace, and wireless communication. U...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：System Control Schemes based on Actor-Critic Learning Algorithms
Actor-Critic学习算法 系统 控制方案
2023/4/27
System optimization and control have become the key design philosophies in modern control system theories, where reinforcement learning (RL) algorithm has drawn considerable attention in recent litera...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Cost Learning in Autonomous Dynamical Systems: An Inverse Optimal Control Approach
自主动力系统 成本学习 逆优化 控制方法
2023/5/5
Optimal control, reinforcement learning and other optimization-based methods have been widelyapplied to control synthesis for real systems in physics, biology and robotics. However, in many complicate...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Distributed Order Estimation of ARX Model Under Cooperative Excitation Condition
协同 激励条件 ARX模型 分布式阶估计
2023/5/6
This talk considers the distributed estimation problem of a linear stochastic system described by an autoregressive model with exogenous inputs when both the system orders and parameters are unknown. ...