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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On strongly quasiconvex functions: existence results and proximal point algorithms
强准孔函数 存在结果 近端点算法
2023/5/4
The class of strongly quasiconvex functions was introduced in the famous paper of B.T. Polyak in 1966. It is the natural extension of the class of strongly convex functions, its applications emcompass...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Some Exact Formulas of the KPZ Fixed Point and Directed Landscape
KPZ不动点 定向景观 精确公式
2023/4/18
In the past twenty years, there have been huge developments in the study of the Kardar-Parisi-Zhang (KPZ) universality class, which is a broad class of physical and probabilistic models including one-...
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...
昆明理工大学理学院概率论与数理统计课件Chapter 7 Estimation Problems--Point Estimation
昆明理工大学理学院 概率论与数理统计 课件 Chapter 7 Estimation Problems Point Estimation
2017/4/17
昆明理工大学理学院概率论与数理统计课件Chapter 7 Estimation Problems--Point Estimation.
Motivic complexes over finite fields and the ring of correspondences at the generic point
fi nite fi elds generic point
2015/12/10
Already in the 1960s Grothendieck understood that one could obtain an almost
entirely satisfactory theory of motives over a finite field when one assumes the Tate
conjecture. In this not...
Computing bounds for the structured singular value via an interior point algorithm
Calculation structure singular value the interior point algorithm
2015/8/12
We describe an interior point algorithm for computing the upper bound for the structured singular value described in the paper by Fan, Tits and Doyle, IEEE Trans AC, Jan. 1991. We demonstrate the perf...
THE GROMOV-WITTEN POTENTIAL OF A POINT, HURWITZ NUMBERS, AND HODGE INTEGRALS
Hurwitz numbers Gromov-Witten potential moduli space
2015/7/14
It is the Deligne-Mumford compacti cation of the moduli space Mg;n of smooth
n-pointed genus g curves. It has n natural line bundles Li (roughly, the cotangent
space to the ith marked point) and a n...
Research on Algorithm of the Point Set in the Plane Based on Delaunay Triangulation
Point-Set in the Plane Delaunay Triangulation Removing Circle Finite Element Mesh
2013/1/30
In the paper, an improved algorithm is presented for Delaunay triangulation of the point-set in the plain. Based on the original algorithm, we propose the notion of removing circle. During the process...
On the Complexity of 2D Discrete Fixed Point Problem
Complexity 2D Discrete Fixed Point Problem
2012/12/3
While the 3-dimensional analogue of Sperner’s problem in the plane was known to be complete in class PPAD, the complexity of 2D-SPERNER itself is not known to be PPAD-complete or not. In this paper, w...
The Issue-Adjusted Ideal Point Model
Item response theory Probabilistic topic model Variational inference Legislative voting
2012/11/23
We develop a model of issue-specific voting behavior. This model can be used to explore lawmakers' personal voting patterns of voting by issue area, providing an exploratory window into how the langua...
Solving Two-Point Boundary Value Problems of Fractional Differential Equations by Spline Collocation Methods
Caputo抯 derivatives Collocation methods Cubic spline functions Riemann-Liouvillefractional derivative
2012/8/10
We use collocation methods to solve fractional boundary value problems. Analytically, we study the
existence and uniquenes theorem of the collocation solutions, and discuss some error estimates. We
...
Solving Two-Point Boundary Value Problems of Fractional Differential Equations
Caputo抯 derivatives Riemann-Liouville Derivatives Fractional differential equation Twopointboundary value problem Existence and uniqueness Single shooting method
2012/8/8
We solve four kinds of two-point boundary value problems of fractional differential equations with
Caputo抯 derivatives or Riemann-Liouville Derivatives. Analytically, we introduce the fractional Gree...
Inexact Solvers for Saddle-point System Arising from Domain Decomposition of Linear Elasticity Problems in Three Dimensions
Domain decompostion geometrically non-conforming Lagrange multiplier saddle-point system preconditioners conditionnumber
2012/8/8
In this paper, a domain decomposition method with lagrange mul-
tipliers based on geometrically non-conforming subdomain partitions
for three dimensional linear elasticity is considered. Because of ...
A Discrete Weighted Helmholtz Decomposition and Applications to Non-overlapping Domain Decomposition for Saddle-point Maxwell Systems with Jumps in Coefficients
Maxwell's equations N秂d秂lec 痭ite elements weighted Helmholtz decom-position domain decomposition saddle-point system, preconditioners, condition number
2012/8/8
We shall establish a discrete weighted Helmholtz decomposition in edge element
spaces, which is stable uniformly with respect to the jumps in the discontinuous weight
function. The stable decomposit...
Inexact Barzilai-Borwein Method for Saddle Point Problems
Saddle point problem, Uzawa algorithm, Barzilai-
2012/8/8
This paper considers the inexact Barzilai-Borwein algorithm applied
to saddle point problems. To this aim, we study the convergence
properties of the inexact Barzilai-Borwein algorithm for symmetric...