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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Deep learning of multi-scale PDEs based on data generated from particle methods
粒子方法 数据 多尺度 偏微分方程 深度学习
2023/4/26
Solving multi-scale PDEs is difficult in high-dimensional and/or convection-dominant cases. The interacting particle methods (IPM) are shown to outperform solving PDEs directly. Examples include compu...
Evolution of particle separation in slowly decorrelating velocity fields
particle separation slowly decorrelating velocity fields
2015/7/14
We consider the evolution of the separation distance between two particles advected by a random velocity field with slowly decaying temporal and spatial correlations in the weak coupling regime. It ha...
Hammersley's Interacting Particle Process and Longst Increasing Subsequences
Hammersley interaction the process of particles the Longst increasing subsequences
2015/7/14
Hammersley's Interacting Particle Process and Longst Increasing Subsequences。
Efficient implementation of smo othed particle hydro dynamics (SPH) with plane sweep algorithm
Smoothed particle hydrodynamics Meshfree method Neighbour search Plane sweep algorithm Morton code Segment tree Quadtree Parallelization Dam break
2014/10/10
Neighbour search (NS) is the core of any implementations of smoothed particle hydrodynamics (SPH). In this paper, we present an efficient O( N log N) neighbour search method based on the plane sweep (...
Feature-scale Simulations of Particulate Slurry Flows in Chemical Mechanical Polishing by Smoothed Particle Hydrodynamics
Chemical mechanical polishing smoothed particle hydrodynamics particulate flow rough pad wafer defects abrasive concentration
2014/10/10
In this paper, the mechanisms of material removal in chemical mechanical polishing (CMP) processes are investigated in detail by the smoothed particle hydrodynamics (SPH) method. The feature-scale beh...
Non-Asymptotic Analysis of Adaptive and Annealed Feynman-Kac Particle Models
Feynman-Kacmodels interacting particle systems adaptive models
2012/11/26
Sequential and Quantum Monte Carlo methods, as well as genetic type search algorithms can be interpreted as a mean field and interacting particle approximations of Feynman-Kac models in distribution s...
Semi-Implicit Finite Element Method and its Convergence of Single-Particle Reconstruction Using L2-Gradient Flow
Semi-Implicit Finite Element Method Convergence Single-Particle Reconstruction
2012/8/10
In an earlier paper, we presented an iterative algorithm for reconstructing a three dimensional
density function from a set of two dimensional electron microscopy images. By
minimizing an energy fun...
A Fast Classification Method for Single-Particle Projections with a Translation and Rotation Invariant
Classification Fourier transform Translationand rotation invariant Secondary-class.
2012/8/7
The aim of the electron microscopy image classification is to categorize the projection
images into different classes according to their similarities. Distinguishing images
usually requires that the...
Change of measure in the lookdown particle system
Doob h-transform Fleming Viot process Wright Fisher diffusion Superprocesses Lookdown particle system
2012/4/18
We perform various changes of measure in the lookdown particle system of Donnelly and Kurtz. The first example is a product type h-transform related to conditioning a Generalized Fleming Viot process ...
Quasi-particle fermionic formulas for $(k,3)$-admissible configurations
Quasi-particle fermionic formulas Quantum Algebra
2011/9/15
Abstract: We construct new monomial quasi-particle bases of Feigin-Stoyanovsky's type subspaces for affine Lie algebra $\mathfrak{sl}(3,\mathbb{C})^{\widetilde{}}$ from which the known fermionic-type ...
An Invariance Principle for the Tagged Particle Process in Continuum with Singular Interaction Potential
Diffusion processes interacting continuous particle systems random environment invariance principles
2011/9/1
Abstract: We consider the dynamics of a tagged particle in an infinite particle environment moving according to a stochastic gradient dynamics. For singular interaction potentials this tagged particle...
On the concentration properties of Interacting particle processes
Concentration properties Feynman-Kac particle processes stochastic particle models
2011/9/1
Abstract: These lecture notes present some new concentration inequalities for Feynman-Kac particle processes. We analyze different types of stochastic particle models, including particle profile occup...
Evolution Equations in Functional Derivatives of Many-Particle Systems
BBGKY hierarchy Liouville hierarchy generating functional functional derivative marginal observable
2011/8/25
Abstract: The hierarchies of evolution equations of classical many-particle systems are formulated as evolution equations in functional derivatives. In particular the BBGKY hierarchy for marginal dist...
Classical dynamics and particle transport in kicked billiards
Classical dynamics particle transport kick source momentum
2011/7/6
We study nonlinear dynamics of the kicked particle whose motion is confined by square billiard. The kick source is considered as localized at the center of square with central symmetric spatial distri...
Periodically driven dynamics of a particle moving in the field of Coulomb plus confining potential
Periodically driven dynamics Coulomb plus confining potential
2011/7/7
Periodically driven dynamics of a particle moving in the field Coulomb plus confining potential is treated for one and three dimensional cases. Critical value of the external field strength at which c...