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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Singleton mesh patterns in multidimensional permutations
多维排列 Singleton网格模式 排列模式
2023/11/13
Permutation patterns is a popular area of research introduced in 1968, but with roots going to the work of Leonhard Euler in 1749.
Compact Central WENO Schemes for MultiDimensional Conservation Laws
hyperbolic systems central difference schemes high-order accuracy nonoscillatory schemes WENO reconstruction CWENO reconstruction
2015/10/8
We present a new third-order central scheme for approximating solutions of systems of conservation laws in one and two space dimensions. In the spirit of Godunov-type schemes, our method is based on r...
MULTIDIMENSIONAL SOFIC SHIFTS WITHOUT SEPARATION AND THEIR FACTORS
MULTIDIMENSIONAL SOFIC SHIFTS WITHOUT SEPARATION THEIR FACTORS
2015/9/29
For d ≥ 2 we exhibit mixing Zd shifts of finite type and sofic shifts with large entropy but poorly separated subsystems (in the sofic examples, the only minimal subsystem is a single point). These ex...
A MULTISCALE BUTTERFLY ALGORITHM FOR MULTIDIMENSIONAL FOURIER INTEGRAL OPERATORS
Fourier integral operators the butterfly algorithm hierarchical decomposition separated representation
2015/7/14
This paper presents an efficient multiscale butterfly algorithm for computing Fourier integral operators (FIOs) of the form (Lf)(x) = Rd a(x, ξ)e2πıΦ(x,ξ)f (ξ)dξ, where Φ(x, ξ) is a phase funct...
HORSESHOES IN MULTIDIMENSIONAL SCALING AND KERNEL METHODS
Horseshoe multidimensional scaling the kernel method
2015/7/8
HORSESHOES IN MULTIDIMENSIONAL SCALING AND KERNEL METHODS。
Scaling Multidimensional Inference for Structured Gaussian Processes
Gaussian Processes Backfitting Projection Pursuit-Reression Kronecker matrices
2012/11/22
Exact Gaussian Process (GP) regression has O(N^3) runtime for data size N, making it intractable for large N. Many algorithms for improving GP scaling approximate the covariance with lower rank matric...
Multidimensional Interleavings and Applications to Topological Inference
Multidimensional Interleavings Topological Inference Algebraic Topology
2012/6/27
This work concerns the theoretical foundations of persistence-based topological data analysis. We develop theory of topological inference in the multidimensional persistence setting, and directly at t...
Parametric inference for discretely observed multidimensional diffusions with small diffusion coefficient
Minimum contrast estimators low frequency data high frequency data epidemic data
2012/6/21
We consider a multidimensional diffusion X with drift coefficient b({\alpha},X(t)) and diffusion coefficient {\epsilon}{\sigma}({\beta},X(t)). The diffusion is discretely observed at times t_k=k{\Delt...
Coupling techniques for nonlinear hyperbolic equations. IV. Multi-component coupling and multidimensional well-balanced schemes
nonlinear hyperbolic equations Multi-component coupling multidimensional well-balanced schemes Analysis of PDEs
2012/6/14
This series of papers is devoted to the formulation and the approximation of coupling problems for nonlinear hyperbolic equations. The coupling across an interface in the physical space is formulated ...
Moving Taylor Bayesian Regression for nonparametric multidimensional function estimation with possibly correlated errors
interpolation irregular sampling numerical differentiation rational function smoothing
2012/4/24
We present a nonparametric method for estimating the value and several derivatives of an unknown, sufficiently smooth real-valued function of real-valued arguments from a finite sample of points, wher...
Multidimensional semicircular limits on the free Wigner chaos
Convergence in Distribution Fourth Moment Condition Free BrownianMotion Free Probability Multidimensional Limit Theorems
2011/9/21
Abstract: We show that, for sequences of vectors of multiple Wigner integrals with respect to a free Brownian motion, componentwise convergence to semicircular is equivalent to joint convergence. This...
Pointwise characteristic factors for the multidimensional return times theorem
Pointwise characteristic factors multidimensional return times theorem
2011/1/21
This paper is an update and extension of a result the authors first proved in 2003. The goal of this paper is to study factors which are known to be L2-characteristic for certain nonconventional avera...
A modification of the method of characteristics: a new class of multidimensional partially integrable nonlinear systems
modification of the method of characteristics new class of multidimensional partially integrable nonlinear systems
2010/12/28
We represent an algorithm reducing a big class of systems of (M + 1)-dimensional scalar nonlinear partial differential equations (PDEs) to the systems ofM-dimensional first order PDEs. Thus, we integr...
Stable comparison of multidimensional persistent homology groups with torsion
Multidimensional persistent homology shape comparison matching distance
2011/2/22
The present lack of a stable method to compare persistent homology groups with torsion
is a relevant problem in current research about Persistent Homology and its applications in Pattern Recognition.
Multidimensional Tauberian theorems for wavelet and non-wavelet transforms
Wavelet transform − transform regularizing transform
2011/2/25
We provide Abelian and Tauberian theorems for regulariza-tion transforms of tempered distributions with values in Banach spaces,that is, transforms of the form Mf '(x, y) = (f 'y)(x), where ' is a t...