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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：How to capture tourists' search behavior in tourism forecasts？A two-stage feature selection approach
旅游预测 游客 搜索行为 两阶段 特征选择方法
2023/5/16
Search engine data have been widely used and shown to be useful in tourism demand forecasting. However, considering of the vast amounts of search keywords, how to better capture the tourists' attentio...
Assessing the significance of global and local correlations under spatial autocorrelation;a nonparametric approach
Geostatistics Monte-Carlo methods Resampling Spatial autocorrelation Spatial statistics Variogram
2015/8/21
In this paper we present a method to assess the significance of the correlation coefficient when at least one of the variables is spatially autocorrelated. The standard test assumes independence of th...
CATS regression–a model-based approach to studying trait-based community assembly
community composition community-level models fourth corner model generalised linear models maximum entropy Poisson regression
2015/8/21
CATS regression–a model-based approach to studying trait-based community assembly.
In this paper, we introduce a new approach to constructing unbiased estimators when computing expectations of path functionals associated with stochastic differential equations (SDEs). Our randomizati...
Focusing Revisited: an MN-dynamics Approach
Nonlinear Schr odinger equation the dispersion system focusing on NLS equation
2014/12/29
The nonlinear Schr¨odinger (NLS) equation is a ubiquitous example of an envelope wave equation for conservative, dispersive systems. We revisit here the problem of self-similar focusing of waves in th...
Coupling fields and underlying space curvature: An augmented Lagrangian approach
Coupling scalar field space field feedback system model molecular dynamics
2014/12/29
We demonstrate a systematic implementation of coupling between a scalar field and the geometry of the space which carries the field. This naturally gives rise to a feedback mechanism between the field...
Variational approach to the modulational instability
Coupling nonlinear schrodinger equation the coupling disturbance amplitude condensed bose - Einstein
2014/12/29
We study the modulational stability of the nonlinear Schrödinger equation using a time-dependent variational approach. Within this framework, we derive ordinary differential equations (ODE’s) for...
Solitary wave interactions in dispersive equations using Manton’s approach
Invariant to calculate solitary wave dispersion equation solitary wave vries equation and nonlinear schrodinger equation
2014/12/29
We generalize the approach first proposed by Manton [Nucl. Phys. B 150, 397 (1979)] to compute solitary wave interactions in translationally invariant, dispersive equations that support such localized...
Exact static solutions for discrete ϕ4 models free of the Peierls-Nabarro barrier: Discretized first-integral approach
Discrete klein Gordon model the complete solution static static klein Gordon
2014/12/25
We propose a generalization of the discrete Klein-Gordon models free of the Peierls-Nabarro barrier derived in Spreight [Nonlinearity 12, 1373 (1999)] and Barashenkov et al. [Phys. Rev. E 72, 035602(R...
Excited states in the Thomas–Fermi limit: a variational approach
Excited state condensate semi-classical Thomas Fermi extreme exclusion
2014/12/24
Excited states of Bose–Einstein condensates are considered in the semi-classical (Thomas- Fermi) limit of the Gross–Pitaevskii equation with repulsive inter-atomic interactions and a harmonic potentia...
Best-fit quasi-equilibrium ensembles: a general approach to statistical closure of underresolved Hamiltonian dynamics
Reduce model Hamiltonian dynamics system model reduction space
2014/12/24
A new method of deriving reduced models of Hamiltonian dynamical systems is developed using techniques from optimization and statistical estimation. Given a set of resolved variables that define a mod...
A general approach of least squares estimation and optimal filtering
Least squares Optimal filtering Matched filter Noise Optimization Power Spectrum Density
2013/6/17
The least squares method allows fitting parameters of a mathematical model from experimental data. This article proposes a general approach of this method. After introducing the method and giving a fo...
A general approach to the joint asymptotic analysis of statistics from sub-samples
Empirical processes sub-sampling,self-normalization change point weak con-vergence Time series compact differentiability
2013/6/14
In time series analysis, statistics based on collections of estimators computed from sub-samples play a crucial role in an increasing variety of important applications. Proving results about the joint...
Ensemble Copula Coupling as a Multivariate Discrete Copula Approach
multivariate discrete copula stochastic array Sklar’s theorem statistical ensemble postprocessing ensemble copula coupling
2013/6/14
In probability and statistics, copulas play important roles theoretically as well as to address a wide range of problems in various application areas. In this paper, we introduce the concept of multiv...
A New Global Stochastic Search Approach for Inverse Problems: Application to Ultrasound Modulated Optical Tomography
inverse problems global stochastic search discretized Kushner-Stratonovich equation gain-based update ultrasound modulated optical tomography
2013/6/14
A global stochastic search method, which is strictly derivative-free yet directed through a gain-based additive update term, is proposed and applied to the inverse problem of ultrasound modulated opti...