搜索结果: 1-15 共查到“数学 projection”相关记录26条 . 查询时间(0.087 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Extensions of Projection Theorem in Banach Spaces
投影定理 巴拿赫空间 扩展
2023/5/4
In this talk, we first recall classic projection theorem for closed convex subsets in a Hilbert space. Then we introduce two extensions of the projection theorem in the Banach space where one is estab...
COUNTING FACES OF RANDOMLY-PROJECTED POLYTOPES WHEN THE PROJECTION RADICALLY LOWERS DIMENSION
RANDOMLY-PROJECTED RADICALLY LOWERS DIMENSION
2015/8/21
The modern trend in statistics and probability is to consider the case where both
the number of dimensions d and the sample size n are large [19, 21]. In that case, the
intuition fostered by the cla...
ASYMPTOTICS OF GRAPHICAL PROJECTION PURSUIT
Mathematical tools high-dimensional data planning and design
2015/7/14
Mathematical tools are developed for describing low-dimensional projec-
tions of high-dimensional data. Theorems are given to show that under
suitable conditions, most projections are approximatel...
Projection Pursuit for Discrete Data。
Application for Superconvergence of Finite Element Approximations for the Elliptic Problem by Global and Local L2-Projection Methods
Finite Element Methods Superconvergence L2-Projection Elliptic Problem
2013/1/30
Numerical experiments are given to verify the theoretical results for superconvergence of the elliptic problem by global and local L2-Projection methods.
Level set estimation from projection measurements: Performance guarantees and fast computation
estimation projection measurements Performance guarantees fast computation
2012/11/22
Estimation of the level set of a function (i.e., regions where the function exceeds some value) is an important problem with applications in digital elevation mapping, medical imaging, astronomy, etc....
Real analytic expansion of spectral projection and extension of Hecke-Bochner identity
Coxeter group Hecke-Bochner identity Heisenberg group Laguerre polynomials spherical harmonics twisted convolution
2012/4/16
In this article, we review the Weyl correspondence of bigraded spherical harmonics and use it to extend the Hecke-Bochner identities for the spectral projections $f\times\varphi_k^{n-1}$ for function ...
Two-subspace Projection Method for Coherent Overdetermined Systems (Technical Report)
Two-subspace Projection Method Coherent Overdetermined Systems Technical Report Numerical Analysis
2012/4/17
In this technical report we present a Projection onto Convex Sets (POCS) type algorithm for solving systems of linear equations. POCS methods have found many applications ranging from computer tomogra...
Two-subspace Projection Method for Coherent Overdetermined Systems
Two-subspace Projection Method Coherent Overdetermined Systems Numerical Analysis Probability
2012/4/17
We present a Projection onto Convex Sets (POCS) type algorithm for solving systems of linear equations. POCS methods have found many applications ranging from computer tomography to digital signal and...
A fast alternating projection method for complex frequency estimation
complex frequency estimation Numerical Analysis
2011/9/1
Abstract: The problem of approximating a sampled function using sums of a fixed number of complex exponentials is considered. We use alternating projections between fixed rank matrices and Hankel matr...
Computing material fronts with a Lagrange-Projection approach
Computing material fronts Lagrange-Projection approach
2011/2/24
This paper reports investigations on the computation of mate-rial fronts in multi-fluid models using a Lagrange-Projection ap-proach. Various forms of the Projection step are considered. Par-ticular a...
Order-isomorphism and a projection's diagram of C(X)
Commutative C*-algebras projections order-isomorphism infinite projections clopen subsets
2010/12/21
A mapping between projections of C*-algebras preserving the orthogonality, is called an orthoisomorphism. We define the order-isomorphism mapping on C*-algebras, and using Dye's result, we prove in th...
Rank of Projection-Algebraic Representations of Some Differential Operators
Rank of Projection-Algebraic Differential Operators
2010/11/22
The Lie-algebraic method approximates differential operators that are formal polynomials of {1,x,d/dx} by linear operators acting on a finite dimensional space of polynomials. In this paper we prove ...
Proper asymptotic unitary equivalence in $\KK$-theory and projection lifting from the corona algebra
KK-theory proper asymtotic unitary equivalence ab-sorbing representation
2010/12/6
In this paper we generalize the notion of essential codimension of Brown, Douglas, and Fillmore using KK-theory and prove a result which asserts that there is a unitary of the
form ‘identity + compac...
A Hybrid Projection-Proximal Point Algorithm
Maximal monotone operators proximal point methods projection methods
2009/1/20
We propose a modification of the classical proximal point algorithm for finding zeroes of a maximal monotone operator in a Hilbert space. In particular, an approximate proximal point iteration is used...