GAN idea 至此可以很自然引入接下来的Optimal Transport Theorem!核心思路就是找到一个可以处理non-overlapping情况的probability measures! OT theory involved Optimal Transport OT可以刻画分布之间很自然的变化过程,进而能给出衡量各种分布类型之间距离的度量(定义研究对象的distance,OT自动给出研究对象分布的distance)。比如...
Course Description:formulation of the optimal transport problem, Kantorovich duality theory, existence and uniqueness theory, c-monotonicity and structure of solutions, discrete optimal transport. Economic applications including: transferable utility models in matching theory, hedonic and discrete choice models ...
3 Applications In this section, we describe in detail two applications of multi-marginal optimal transport; hedonic matching for teams in economics, and density functional theory in physics. In both cases, we first describe the application in some detail, and explain how multi-marginal optimal ...
Foundation of Quantum Optimal Transport and ApplicationsQuantum optimal transportationMonge-Kantorovich problemQuantum game theoryFolk theoremRepeated quantum gameQuantum automataQuantum optimal transportation seeks an operator which minimizes the total cost of transporting a quantum state to another state, under ...
Multi-marginal optimal transport: theory and applications Over the past five years, multi-marginal optimal transport, a generalization of the well known optimal transport problem of Monge and Kantorovich, has begu... Pass,Brendan - 《Esaim Mathematical Modelling & Numerical Analysis》 被引量: 60发表...
Journal of Optimization Theory and Applications, Vol. 36, pp. 419-431.Conditions for characterizing the structure of optimal strategies in infinite-horizon ... E Porteus - 《Journal of Optimization Theory & Applications》 被引量: 170发表: 1982年 Adaptive control of constrained Markov chains: Crite...
当当网图书频道在线销售正版《【预订】Optimal Control An Introduction to the Theory and Its Applications》,作者:Athans,出版社:Dover Publications。最新《【预订】Optimal Control An Introduction to the Theory and Its Applications》简介、书评、试读、价格
identify the number of conserved quantities and extract their values. Using tools from optimal transport theory and manifold learning, our proposed method provides a direct geometric approach to identifying conservation laws that is both robust and interpretable without requiring an explicit model of the...
optimalcontrolapplicationstheoryliberzon控制理论 18879C:SpecialTopicsinSystemsandControl:OptimalControl2013OptimalControl-TheoryandApplicationsCourse#:18879C/96840SVSemester:Fall2013BreadthArea:ArtificialIntelligence,RoboticsandControlInstructorDr.AbrahamIshiharaPhone:650335-2818Email:abe.ishihara@west.cmu.edu;Officehours...
Then we recall the dual formulation of the optimal transport problem when the marginals are Radon measures, following [29] (see also [48] for the analysis of optimal transport problem in a very general setup). Section 3 contains basic and already well-established results of the metric theory,...