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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Inverse Problems and Their Applications
逆问题 系统辨识 正问题
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2023/5/12
反问题和正问题是成对出现的。通常，学术界将已知原因（输入）、过程（模型）而探求结果（输出）的一类问题称为正问题。与此相对应，就有了两种反问题：已知模型、输出求未知输入的“溯源”问题和已知输入、输出来反求模型（或模型参数）的系统辨识问题。在现实社会和人类生活中，反问题无处不在；在关系国家命脉的经济生产和国防军事领域中反问题更是随处可见。例如，与人类健康福祉密切相关的无痛无损伤、在体表进行测量的医学诊...
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
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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...
Sumset and Inverse Sumset Inequalities for Differential Entropy and Mutual Information
Shannon entropy differential entropy sumset bounds inequalities submodularity data processing mutual information
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2012/6/19
The sumset and inverse sumset theories of Freiman, Pl\"{u}nnecke and Ruzsa, give bounds connecting the cardinality of the sumset $A+B=\{a+b\;;\;a\in A,\,b\in B\}$ of two discrete sets $A,B$, to the ca...
An Interpretation of the Moore-Penrose Generalized Inverse of a Singular Fisher Information Matrix
Cramer-Rao bound constrained parameters singular Fisher information matrix
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2011/9/1
Abstract: An interpretation of the Moore-Penrose generalized inverse of a singular Fisher information matrix (FIM) is presented in this paper, from the perspective of Cramer-Rao bound (CRB). CRB is a ...