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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Conformally variational Riemannian invariants and their related topics
共形变分 黎曼不变量 主题
2023/4/23
It is well known that scalar curvature plays a fundamental role in general relativity. As its analogue, conformally variational Riemannian invariants (CVIs) is a category of fundamental scalar-type cu...
SPECTRAL-SPATIAL CLASSIFICATION OF HYPERSPECTRAL REMOTE SENSING IMAGES USING VARIATIONAL AUTOENCODER AND CONVOLUTION NEURAL NETWORK
Hyperspectral classification feature extraction spectral channels deep learning
2019/2/28
In this paper, we propose a spectral-spatial feature extraction framework based on deep learning (DL) for hyperspectral image (HSI) classification. In this framework, the variational autoencoder (VAE)...
A Hybrid Variational Front Tracking-Level Set Mesh Generator For Problems Exhibiting Large Deformations and Topological Changes
Front Tracking Arbitrary-Lagrangian-Eulerian Mesh Method
2015/12/11
We present a method for generating 2-D unstructured triangular meshes that undergo large deformations and
topological changes in an automatic way. We employ a method for detecting when topological ch...
A Posteriori Error Analysis for A Class of Integral Equations and Variational Inequalities
Integral Equations Variational Inequalities
2015/12/11
We consider elliptic and parabolic variational equations and inequalities governed by
integro-differential operators of order 2s ∈ (0,2]. Our main motivation is the pricing of European
or Amer...
A POSTERIORI ERROR ANALYSIS FOR PARABOLIC VARIATIONAL INEQUALITIES
variational inequality American option pricing
2015/12/11
Motivated by the pricing of American options for baskets we consider a parabolic variational inequality in a bounded polyhedral domain Ω ⊂ Rd with a continuous piecewise smooth obstacle.
...
Variational problems with linear growth in dimension 1
Variational problems linear growth dimension 1
2015/4/3
Variational problems with linear growth in dimension 1.
New Developments of Variational Method of N-body Problem in Celestial Mechanics
Variational Method N-body Problem Celestial Mechanics
2015/3/18
New Developments of Variational Method of N-bodym Problem in Celestial Mechanics.
Escape, collisions and regularization in the variational approach to the N-body problem
Escape collisions regularization variational approach N-body problem
2015/3/18
Escape, collisions and regularization in the variational approach to the N-body problem.
Development of a variational flux inversion system (INVICAT v1.0) using the TOMCAT chemical transport model
variational fl ux inversion system TOMCAT chemical transport model
2014/12/19
We present a new variational inverse transport
model, named INVICAT (v1.0), which is based on the global
chemical transport model TOMCAT, and a new corresponding adjoint transport model, ATOMCAT. Th...
A variational data assimilation system for soil–atmosphere flux estimates for the Community Land Model (CLM3.5)
data assimilation system soil–atmosphere fl ux estimates
2014/12/18
This paper presents the development and implementation of a spatio-temporal variational data assimilation
system (4D-var) for the soil–vegetation–atmosphere transfer
model “Community Land Model” (CL...
divand-1.0: n-dimensional variational data analysis for ocean observations
dimensional variational data ocean observations
2014/12/18
A tool for multidimensional variational analysis
(divand) is presented. It allows the interpolation and analysis of observations on curvilinear orthogonal grids in an arbitrary high dimensional space...
On the parallelization of atmospheric inversions of CO2 surface fluxes within a variational framework
atmospheric inversions CO2 surface fluxes variational framework
2014/12/12
The variational formulation of Bayes' theorem allows inferring CO2 sources and sinks from atmospheric concentrations at much higher time–space resolution than the ensemble or analytical approaches. Ho...
Variational Iterative Algorithms in Photoacoustic Tomography with Variable Sound Speed
Variational Iterative Algorithms Photoacoustic Tomography
2014/9/26
In this paper, we investigate the adjoint equation in photoacoustic tomography with
variable sound speed, and propose three variational iterative algorithms. The basic
idea of these algorithms is to...
A class of variational functionals in conformal geometry
A class of variational functionals in conformal geometry
2014/4/3
We derive a class of variational functionals which arise naturally in
conformal geometry. In the special case when the Riemannian manifold is locally conformal flat, the functional coincides wi...
Numerical Solution of Generalized Abel’s Integral Equation by Variational Iteration Method
Variational Iteration Method Singular Integral Equation Abel’s Kernel
2013/1/30
In this paper, a user friendly algorithm based on the variational iteration method (VIM) is proposed to solve singular integral equations with generalized Abel’s kernel. It is observed that an approxi...