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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...
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...
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。
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       font style='font-size:12px;'> 2015/7/14
Eigen Analysis for Some Examples of the Metropolis Algorithm.
Spectral Analysis for Discrete Longitudinal Data     Discrete  longitudinal data  spectral analysis       font style='font-size:12px;'> 2015/7/14
Spectral Analysis for Discrete Longitudinal Data.
Symmetry Analysis of Reversible Markov Chains     Theory of markov chain  the tool  orbital diagram  building       font style='font-size:12px;'> 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     Bayesian analysis  markov chain       font style='font-size:12px;'> 2015/7/8
Bayesian analysis for reversible Markov chains
Workshop on Recent Advances in Numerical Analysis     Numerical Analysis  Recent Advances       font style='font-size:12px;'> 2014/11/3
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.
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...
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...
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...
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...
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 ...

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