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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Convergence analysis of one-point large deviations rate functions of numerical methods for stochastic wave equations with small noise
小噪声 随机波动方程 数值方法 单点大偏差率 函数收敛分析
2023/4/21
In this talk, we present the pointwise convergence of one-point large deviations rate functions (LDRFs) of the spatial finite difference method and further the fully discrete method based on the tempo...
15 Years of Reproducible Research in Computational Harmonic Analysis
Computational Harmonic Analysis 15 Years
2015/8/21
Scientific Computation is emerging as absolutely central to the scientific method. Unfortunately, it is error-prone and currently immature: traditional scientific publication is
inc...
Constrained ordination analysis with flexible response functions
Canonical correspondence analysis Density estimation
2015/8/20
Canonical correspondence analysis (CCA) is perhaps the most popular multivariate technique used by environmental ecologists
for constrained ordination; it is an approximation to the maximum likelihoo...
Analysis of linear systems with saturation using convex optimization
Linear matrix inequality linear system the lyapunov function space area half plan
2015/8/11
We show how linear matrix inequalities (LMI) can be used to perform local stability and performance analysis of linear systems with saturating elements. This leads to conservative information on stabi...
Pattern Recognition with Slow Feature Analysis
Characteristic analysis nonlinear function the input data the function of learning
2015/7/31
Slow feature analysis (SFA) is a new unsupervised algorithm to learn nonlinear functions that extract slowly varying signals out of the input data. In this paper we describe its application to pattern...
Morphological Terrain Classification and Analysis Using Geostatistical Techniques
Spatial Information Systems DEM/DTM Geomorphology
2015/7/6
Nowadays there is a wide range of systems that provide an efficient and fast data capture for the DEM generation and the spread of
the computer systems has allowed the use of DEM to a high number of ...
Analysis of the Time Reversible Born-Oppenheimer Molecular Dynamics
Ab initio molecular dynamics self-consistent field iteration time reversibility
2014/9/26
We analyze the time reversible Born-Oppenheimer molecular dynamics
(TRBOMD) scheme, which preserves the time reversibility of the Born-Oppenheimer
molecular dynamics even with non-convergent self-co...
Asymptotic and bifurcation analysis of wave-pinning in a reaction-diffusion model for cell polarization
wave-pinning bistable reaction-diffusion system mass conservation
2010/12/28
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...
Finite-SNR Diversity-Multiplexing Tradeoff via Asymptotic Analysis of Large MIMO Systems
Diversity-multiplexing tradeoff outage probability
2010/12/9
Diversity–multiplexing tradeoff (DMT) was characterized asymptotically (SNR-> infinity) for i.i.d. Rayleigh fading channel by Zheng and Tse [1].
Periodic orbit analysis at the onset of the unstable dimension variability and at the blowout bifurcation
Periodic orbit analysis blowout bifurcation unstable dimension variability
2010/4/7
Many chaotic dynamical systems of physical interest present a strong form of nonhyperbolicity called unstable dimension variability (UDV), for which the chaotic invariant set contains periodic orbits ...
We continue the analysis in [F. Hansen, and J. Tomiyama, Differential analysis of matrix convex functions. Linear Algebra Appl., 420:102--116, 2007] of matrix convex functions of a fixed order defined...
Asymptotic Analysis to a Phase-Field Model with a Nonsmooth Memory Kernel
Asymptotic Analysis Phase-Field Model Nonsmooth Memory Kernel
2009/1/20
A phase-field model based on the Gurtin-Pipkin heat flux law is considered. The resulting system has been investigated by Colli and Laurencot who proved existence and uniqueness results, when the time...
A New Subdifferential in Quasiconvex Analysis
Greenberg-Pierskalla quasi-subdifferential Frechet subdifferential quasiconvexity
2009/1/19
We introduce a new notion of subdifferential, which we call Q-subdifferential, for functions defined on subsets of normed spaces. The Q-subdifferential is a subset of the Greenbeg-Pierskalla quasi-sub...