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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Functional-Input Gaussian Processes
泛函 输入 高斯过程
2023/4/25
Surrogate modeling based on Gaussian processes (GPs) has received increasing attention in the analysis of complex problems in science and engineering. Despite extensive studies on GP modeling, the dev...
三亚国际数学论坛：Recent Advances in Convex Geometry and Geometric Functional Analysis
三亚国际数学论坛 Convex Geometry Geometric Functional Analysis
2017/11/24
Convexity is omnipresent in mathematics and the mathematical sciences. During the past ten years, there has been intensive research in convex geometry. Methods and techniques from different fields hav...
Rajendra Bhatia has made remarkable contributions to Mathematics research and teaching, and to growth of Mathematics in India. He has been honored with various awards including the Medal for Young Sci...
中山大学岭南学院高级计量经济学课件（I）CH3 Functional Form, Nonlinearity and Specification
中山大学岭南学院 高级计量经济学 课件（I） CH3 Functional Form, Nonlinearity and Specification
2017/6/14
中山大学岭南学院高级计量经济学课件（I）CH3 Functional Form, Nonlinearity and Specification。
Refining network reconstruction based on functional reliability
Directed acyclic graph Discover causes and effects Sequential structural learning
2016/1/25
Given a target variable and observational data, we propose a sequential learning approach for discovering direct cause and effect variables of the target under the causal network frame-work. In the ap...
On the Choice of Functional Form for Hedonic Price Functions
Hedonic Price Functions Choice
2015/9/18
this study examines how errors in measuring
marginal attribute prices vary with the form of the hedonic
price function. In simulations, consumers with known utility
functions bid for houses with ei...
A functional Hungarian construction for the sequential empirical process
functional Hungarian construction sequential empirical process
2015/8/25
We establish a KMT coupling for the sequential empirical process and the KieferMüller process. The processesare indexed by functions f from a Hölder class H, but the supremum over f ∈ H is taken ...
A FUNCTIONAL HUNGARIAN CONSTRUCTION FOR SUMS OF INDEPENDENT RANDOM VARIABLES
Komlos-Major–Tusnády inequality Partial sum process Non-identically distributed variables Function classes Asymptotic equivalence of statistical experiments
2015/8/25
We develop a Hungarian construction for the partial sum process of independent non-identically distributed random variables. The process is indexed by functions f from a class H, but the supremum over...
Principal component models for sparse functional data
Functional data analysis Principal components Mixed effects model Reduced rank estimation Growth curve
2015/8/21
The elements of a multivariate data set are often curves rather than single points. Functional principal components can be used to describe the modes of variation of such curves. If one has complete m...
Functional Linear Discriminant Analysis for Irregularly Sampled Curves
Classification Filtering Functional data Linear discriminant analysis Low dimensional representation Reduced rank Regularized discriminant analysis Sparse curves
2015/8/21
We introduce a technique for extending the classical method of Linear Discriminant Analysis to data sets where the predictor variables are curves or functions. This procedure, which we call functional...
Function-Private Identity-Based Encryption: Hiding the Function in Functional Encryption
Function privacy identity-based encryption functional encryption
2015/8/5
In light of such an inherent difficulty, any meaningful notion of function privacy must be based
on the minimal assumption that, from the adversary's point of view, identities that correspond to...
Adaptive local basis set for Kohn–Sham density functional theory in a discontinuous Galerkin framework I: Total energy calculation
Electronic structure Kohn–Sham density functional theory Discontinuous Galerkin Adaptive local basis set Enrichment functions Eigenvalue problem
2015/7/14
Kohn–Sham density functional theory is one of the most widely used electronic structure theories. In the pseudopotential framework, uniform discretization of the Kohn–Sham Hamiltonian generally result...
Optimized local basis set for Kohn–Sham density functional theory
Electronic structure Kohn–Sham density functional theory Optimized local basis set Discontinuous Galerkin Trace minimization Molecular dynamics Pulay force GMRES Preconditioning
2015/7/14
We develop a technique for generating a set of optimized local basis functions to solve models in the Kohn–Sham density functional theory for both insulating and metallic systems. The optimized local ...
Element orbitals for Kohn-Sham density functional theory
Element orbitals Kohn-Sham density functional theory
2015/7/14
We present a method to discretize the Kohn-Sham Hamiltonian matrix in the pseudopotential framework by a small set of basis functions automatically contracted from a uniform basis set such as plane wa...
Functional relations and Bethe Ansatz for the open XXZ chain
Functional relations Bethe Ansatz XXZ chain
2015/3/19
Functional relations and Bethe Ansatz for the open XXZ chain.