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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Calculation of high-order harmonic generation of atoms and molecules by combining time series prediction and neural networks
时间序列预测 神经网络计算 原子分子 高阶谐波生成
2023/5/9
High-order harmonic generation (HHG) from the interaction of ultra-intense laser pulses with atoms is an important tabletop short-wave coherent light source. Accurate quantum simulations of it present...
Direct Regression Modelling of High-order Moments in Big Data
Big data Higher-order moment U-statistics Estimating equation Divide-and-conquer
2016/1/26
Big data problems present great challenges to statisti-cal analyses, especially from the computational side. In this paper, we consider regression estimation of high-order mo-ments in big data problem...
3D Flapping Wing Simulation with High Order Spectral Difference Method on Deformable Mesh
3D Flapping Simulation Spectral Diff erence Method Deformable Mesh
2015/7/3
In this paper we carry out computational studies of three-dimensional flow over flapping wings. The problems we have investigated include, firstly, three-dimensonal simulation of ...
A hybrid multilevel method for high-order discretization of the Euler equations on unstructured meshes
Multigrid methods Newton–Krylov methods Euler equations
2015/7/3
Higher order discretization has not been widely successful in industrial applications to compressible flow simulation. Among several reasons for this, one may identify the lack of tailor-suited,...
High-Order Spectral Difference Simulation of Laminar Compressible Flow Over Two Counter-Rotating Cylinders
High-Order Spectral Diff erence Simulation Laminar Compressible Counter-Rotating Cylinders
2015/7/3
Flow past a single rotating cylinder has been studied, both numerically and experimen tally, by many authors. In contrast is the flow past rotating cylinders in a side-by-side arrangement, which...
Efficient Algorithms for High-Order Discretizations of the Euler and Navier-Stokes Equations
Efficient Algorithms High-Order Discretizations Euler Navier-Stokes Equations
2015/7/2
Higher order discretizations have not been widely successful in industrial applications to compressible ow simulation. Among several reasons for this, one may identify the lack of tailor-suited, best-...
High-order-mode soliton structures in two-dimensional lattices with defocusing nonlinearity
Discrete soliton self-focusing defocusing nonlinear dipole the structure of vortex solitons
2014/12/25
While fundamental-mode discrete solitons have been demonstrated with both self-focusing and defocusing nonlinearity, high-order-mode localized states in waveguide lattices have been studied thus far o...
High-order short-time expansions for ATM option prices under a tempered stable Lévy model
Exponential Levy models CGMY and tempered stable models short-time asymptotics at-the-money option pricing implied volatility.
2012/9/14
The short-time asymptotic behavior of option prices for a variety of models with jumps has received much attention in recent years. In the present work, a novel second-order approximation for ATM opti...
Arbitrary Truncated Levy Flight: Asymmetrical Truncation and High-Order Correlations
Financial Stochastic processes Truncated Levy Flights High-Order Correlations NonGaussian Random Walk
2012/6/5
The generalized correlation approach, which has been successfully used in statistical radio physics to describe non-Gaussian random processes, is proposed to describe stochastic financial processes. T...
Tracing the structure of asymmetric molecules from high-order harmonic generation
Tracing the structure asymmetric molecules high-order harmonic generation
2014/5/28
We investigate high-order harmonic generation (HHG) from asymmetric molecules exposed to intense laser fields. We show that the emissions of odd and even harmonics depend differently on the orientatio...
The inefficiency of re-weighted sampling and the curse of system size in high order path integration
statistical sampling re-weighting high-order path integrals
2011/8/3
Abstract: Computing averages over a target probability density by statistical re-weighting of a set of samples with a different distribution is a strategy which is commonly adopted in fields as divers...
Adjusted empirical likelihood with high-order precision
Bartlett correction confidence region Edgeworth expansion
2010/10/14
Empirical likelihood is a popular nonparametric or semi-parametric statistical method with many nice statistical properties. Yet when the sample size is small, or the dimension of the accompanying est...
Exact and high order discretization schemes for Wishart processes and their affine extensions
Wishart processes affine processes exact simulation
2010/10/21
This work deals with the simulation of Wishart processes and affine diffusions on positive semidefinite matrices. To do so, we focus on the splitting of the infinitesimal generator, in order to use co...
Compressing Parameters in Bayesian High-order Models with Application to Logistic Sequence Models
compressing parameters high-ordermodels Markov chain Monte Carlo logistic models interaction
2009/9/22
Bayesian classication and regression with high-order interactions is
largely infeasible because Markov chain Monte Carlo (MCMC) would need to be
applied with a great many parameters, whose number in...
High order discretization schemes for stochastic volatility models
High order discretization schemes stochastic volatility models
2010/11/2
In usual stochastic volatility models, the process driving the volatility of the asset price evolves accord-ing to an autonomous one-dimensional stochastic differential equation. We assume that the co...