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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Causal Inference based models and their applications in Banking
因果推理 模型 银行业
2023/11/24
Causal inference is a permanent challenge topic in statistics, data science, and many other applied fields. Existing machine learning methods often focus on the correlations in the data and ignore the...
Scoring Bayesian Networks with Informative, Causal and Associative Priors
Scoring Bayesian Networks Informative Causal Associative Priors
2012/9/26
A significant theoretical advantage of search-and-score methods for learning Bayesian Networks is that they can accept informative prior beliefs for each possible network, thus complementing the data....
Causal categories: relativistically interacting processes
Causal categories General Relativity and Quantum Cosmology Category Theory
2011/7/29
Abstract: A symmetric monoidal category naturally arises as the mathematical structure that organizes physical systems, processes, and composition thereof, both sequentially and in parallel. This stru...
On causal properties of symmetric Lorentzian spaces
causal properties symmetric Lorentzian spaces
2010/12/31
The causal properties of Lorentzian symmetric spaces are investigated in the paper. There is proved the global hyperbolicity of the Cahen–Wallach Lorentzian symmetric spaces, corresponding to solvable...
On the Support of Minimizers of Causal Variational Principles
Support of Minimizers Causal Variational Principles
2010/12/31
A class of causal variational principles on a compact manifold is introduced and analyzed both numerically and analytically. It is proved under general assumptions that the support of a minimizing mea...
On sub-ideal causal smoothing filters
smoothing filters casual filters sub-ideal filters Hardy spaces
2010/12/31
Smoothing filters are studied for continuous time processes. The consideration is restricted by the linear causal filters represented as convolution integrals over the historical data. This filters ar...
Gromov, Cauchy and causal boundaries for Riemannian, Finslerian and Lorentzian manifolds
Gromov Cauchy causal boundaries Riemannian
2010/11/1
Recently, the old notion of causal boundary for a spacetime V has been redefined in a consistent way. The computation of this boundary $\partial V$ for a standard conformally stationary spacetime V = ...
State Space Consistency and Differentiability Conditions for a Class of Causal Dynamical Input-Output Systems
State Space Consistency Differentiability Conditions Class of Causal Dynamical Input-Output Systems
2008/1/31
A causal input-output system may be described by a function space for inputs, a function space for outputs, and a causal operator mapping the input space into the output space. A particular representa...