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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Analysis of score-based generative models
分数 生成 模型分析
2023/4/21
Score-based generative modeling (SGM) is a highly successful approach for learning a probability distribution from data and generating further samples, based on learning the score function (gradient o...
Gender Differences in Growth in Mathematical Skills During Secondary Grades: A Growth Model Analysis
Mathematical Skills Growth
2015/9/28
The purpose of this study was to examine differences in the rate at which males and females acquired mathematical skills during secondary grades and to determine the relationship between their rates o...
MULTISCALE MAXIMUM LIKELIHOOD ANALYSIS OF A SEMIPARAMETRIC MODEL, WITH APPLICATIONS
LIKELIHOOD ANALYSIS SEMIPARAMETRIC MODEL WITH APPLICATIONS
2015/8/20
A special semiparametric model for a univariate density is introduced
that allows analyzing a number of problems via appropriate transformations. Two problems treated in some detail are testing for t...
Theorise of Data Analysis:From Magical Thinking Through Classical Statistics
Establish theory data analysis the classical statistics magical thinking
2015/7/14
Theorise of Data Analysis:From Magical Thinking Through Classical Statistics。
THE 1987 WALD MEMORIAL LECTURES A GENERALIZATION OF SPECTRAL ANALYSIS WITH APPLICATION TO RANKED DATA
Spectral analysis the simulation data the space
2015/7/14
An analog of the spectral analysis of time series is developed for data in
general spaces. This is applied to data from an election in which 5738 people
rank ordered five candidates. Group theoret...
Eigen Analysis for Some Examples of the Metropolis Algorithm
Analysis the metropolis algorithm example
2015/7/14
Eigen Analysis for Some Examples of the Metropolis Algorithm.
Spectral Analysis for Discrete Longitudinal Data
Discrete longitudinal data spectral analysis
2015/7/14
Spectral Analysis for Discrete Longitudinal Data.
Symmetry Analysis of Reversible Markov Chains
Theory of markov chain the tool orbital diagram building
2015/7/8
We show how to use subgroups of the symmetry group of a reversible Markov chain to give useful bounds on eigenvalues and their multiplicity. We supplement classical representation theoretic tools invo...
Bayesian analysis for reversible Markov chains。
The Workshop on Recent Advances in Numerical Analysis will be held from Nov 15 to Nov 16, in the Department of Mathematics, Shanghai Jiao University, Shanghai, China.
Numerical analysis of minimal beta-sequences associated with a family of entire functions
Numerical analysis Entire functions Pochhammer polynomials Riemann Xi-function
2011/9/22
Abstract: The Riemann Xi-function Xi(t)=xi(1/2+it) is a particularly interesting member of a broad family of entire functions which can be expanded in terms of symmetrized Pochhammer polynomials depen...
Asymptotic and bifurcation analysis of wave-pinning in a reaction-diffusion model for cell polarization
wave-pinning bistable reaction-diffusion system mass conservation stationary front
2011/3/1
We describe and analyze a bistable reaction-diffusion (RD) model for two interconverting chemical species that exhibits a phenomenon of wave-pinning: a wave of activation of one of the species is init...
Linearization effect in multifractal analysis: Insights from Random Energy Model analysis
Multifractal analysis linearization effect compound Poisson motion
2011/3/3
The analysis of the linearization effect in multifractal analysis, and hence of the estimation of moments for multifractal processes, is revisited borrowing concepts from the statistical physics of di...
On the dynamical analysis of evolution equations via generalized models
Generalized models evolution equations bifurcations scaling transformation
2010/12/28
The analysis of evolution equations such as ordinary or partial differential equations
often splits into two different directions. One either makes minimal assumptions about
their structure and trie...
On the dynamical analysis of evolution equations via generalized models
Generalized models evolution equations bifurcations scaling transformation
2011/2/24
The analysis of evolution equations such as ordinary or partial differential equations often splits into two different directions. One either makes minimal assumptions about their structure and tries ...