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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A structure-preserving parametric finite element method (PFEM) for geometric PDEs and applications
几何偏微分方程 结构保持 参数有限元
2023/4/17
In this talk, I begin with a review of different geometric flows (PDEs) including mean curvature (curve shortening) flow,surface diffusion flow, Willmore flow, etc., which arise from materials science...
We consider geometric biomembranes governed by an L
2
-gradient flow for bending energy subject to area and volume constraints (Helfrich model). We give
a concise derivation of a novel vector...
ROBUSTNESS OF PARAMETRIC SOURCE DEMIXING IN ECHOIC ENVIRONMENTS
ROBUSTNESS PARAMETRIC SOURCE DEMIXING ECHOIC ENVIRONMENTS
2015/9/29
In this paper we present a robustness study of the two channel echoic parametric demixing problem. More specific, assume an oracle (or a perfect estimator) is providing a truncated estimate of the mix...
Nonlinear parametric excitation of an evolutionary dynamical system
Evolutionary dynamics parametric excitation multiple scale perturbation method
2015/8/27
Nonlinear parametric excitation refers to the nonlinear analysis of a system of ordinary differential equations with periodic coefficients. In contrast to linear parametric excitation, which offers de...
Wavelets and the theory of non-parametric function estimation
Pinsker’s theorem sparsity statistical decision problem
2015/8/20
Non-parametric function estimation aims to estimate or recover or denoise a function
of interest, perhaps a signal, spectrum or image, that is observed in noise and possibly
indirectly after some tr...
Bayesian Inference and the Parametric Bootstrap。
It is shown that robust stability and robust performance questions for control systems with nonparametric uncertainties can be turned into those with a particularly simple parametric description. It i...
On parametric H_infinity optimization
Parameters the transfer matrix the Hamiltonian matrix eigenvalue the implicit function
2015/8/13
The problem of optimizing the H_infinity norm of a rational transfer matrix with respect to a finite number of design parameters is considered. The H_infinity norm is characterized as a value of a par...
Identification of systems with parametric and nonparametric uncertainty
System parameters the parameter uncertainty the uncertainty information
2015/8/12
A method is presented for parameter set estimation for a system which contains both parametric and nonparametric uncertainty. Prior information is available about both types of uncertainty, but only t...
Set-membership identification of systems with parametric and nonparametric uncertainty
Parameters parameter estimation system model the parameter uncertainty
2015/8/12
A method is presented for parameter set estimation where the system model is assumed to contain both parametric and nonparametric uncertainty. In the disturbance-free case, the parameter set estimate ...
Error Analysis of a Dual-parametric Bi-quadratic FEM in Cavitation Computation in Elasticity
error analysis dual-parametric bi-quadratic finite element
2014/12/5
The orientation preserving conditions and approximation errors of a dual-parametric bi-quadratic finite element method for the computation of both
radially symmetric and general nonsymmetric cavity s...
Parametric estimation of the driving Lévy process of multivariate CARMA processes from discrete observations
Parametric estimation the driving Lévy process of multivariate CARMA processes discrete observations
2012/11/23
We consider the parametric estimation of the driving L\'evy process of a multivariate continuous-time autoregressive moving average (MCARMA) process, which is observed on the discrete time grid $(0,h,...
Parametric inference for discretely observed multidimensional diffusions with small diffusion coefficient
Minimum contrast estimators low frequency data high frequency data epidemic data
2012/6/21
We consider a multidimensional diffusion X with drift coefficient b({\alpha},X(t)) and diffusion coefficient {\epsilon}{\sigma}({\beta},X(t)). The diffusion is discretely observed at times t_k=k{\Delt...
Interpolation of Parametric CNC Machining Path Under Confined Jounce
Interpolation velocity planning confined jounce time-optimal parametric curve vibration high-precision CNC machining
2013/9/9
Aiming at reducing the CNC machining vibration and increasing machining quality, an interpolation method for parametric tool paths with confined jounce, jerk, acceleration, and speed is proposed. An a...
A procedure for the change point problem in parametric models based on phi-divergence test-statistics
Change point Information criterion Divergence Wald test-statistic General distributions
2011/8/25
Abstract: This paper studies the change point problem for a general parametric, univariate or multivariate family of distributions. An information theoretic procedure is developed which is based on ge...