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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Shape-on-Scalar Regression Models: Going Beyond Prealigned Non-Euclidean Responses
标量 形状回归模型 超越预先对齐 非欧几里得
2023/5/5
The problem of using covariates to predict shapes of objects in a regression setting is important in many fields. A formal statistical approach, termed geodesic regression model, is commonly used for ...
Discrete Gradient Flows for Shape Optimization and Applications
Shape optimization scalar product gradient flow
2015/12/11
We present a variational framework for shape optimization problems
that establishes clear and explicit connections among the continuous formulation, its full discretization and the resulting linear a...
A Limit Shape Theorem for Periodic Stochastic Dispersion
Periodic Stochastic Dispersion Shape
2015/9/29
We consider the evolution of a connected set on the plane carried by a space
periodic incompressible stochastic flow. While for almost every realization of
the stochastic flow at time t ...
A Limit Shape Theorem for Periodic Stochastic Dispersion
Space is periodic random flow order and an infinite linear speed
2015/9/28
We consider the evolution of a connected set on the plane carried by a space periodic incompressible stochastic flow. While for almost every realization of the stochastic flow at time t mo...
In the two-dimensional rotor-router walk (defined by Jim Propp and presented beautifully in [4]), the first time a particle leaves a site x it departs east; the next time this or another particle leav...
We present a novel method for texture synthesis on surfaces from examples. We consider a very general type of textures, including color, transparency and displacements. Our method synthesizes the text...
Algorithmic shape modeling with subdivision surfaces
Procedural models Multi-scale surfaces Catmull–Clark subdivision Shape blending Warping and morphing Fractals Signal mesh processing
2015/7/15
We present methods for synthesizing 3D shape features on subdivision surfaces using multi-scale procedural techniques. Multi-scale synthesis is a powerful approach for creating surfaces with different...
Evaluating the geometric shape of a flying paraglider
Paraglider close-range photogrammetry geometric shape data acquisition in flight
2014/7/30
This paper describes the photogrammetric approach to find the geometric shape of a paraglider. As its geometry is only available during the flight this had to be done under special conditions. The lay...
Abstract: Motivated by positivity-, monotonicity-, and convexity preserving differential equations, we introduce a definition of shape preserving operator semigroups and analyze their fundamental prop...
On the enumeration of three-rowed standard Young tableaux of skew shape in terms of Motzkin numbers
three-rowed standard Young tableaux Combinatorics
2011/9/15
Abstract: The enumeration of standard Young tableaux (SYTs) of shape {\lambda} can be easily computed by the hook-length formula. In 1981, Amitai Regev proved that the number of SYTs having at most th...
The asymptotic shape, large deviations and dynamical stability in first-passage percolation on cones
The asymptotic shape dynamical stability cones Probability
2011/9/2
Abstract: In this paper we consider first-passage percolation on certain subgraphs of the $\Z^d$ nearest neighbour graph. We present a three-fold extension of the Shape Theorem. Firstly, we show that ...
Multiscale Methods for Shape Constraints in Deconvolution
Brownian motion convexity differential inequalities ill-posed problems mode detection monotonicity multiscale statistics
2011/8/29
Abstract: We derive multiscale statistics for deconvolution in order to detect qualitative features of the unknown density. An important example covered within this framework is to test for local mono...
Semianalytic theory of self-similar optical propagation and mode locking using a shape-adaptive model pulse
adaptive model pulse Semianalytic theory self-similar optical propagation mode locking
2011/7/7
A semianalytic theory for the pulse dynamics in similariton amplifiers and lasers is presented, based on a model pulse with adaptive shape. By changing a single parameter, this test function can be co...
Shape theory via affine transformation: Some generalisations
Jacobians Jack polynomials generalised hypergeometric functions
2011/2/28
This work sets the statistical affine shape theory in the context of real normed divi-sion algebras. The general densities apply for every field: real, complex, quaternion,octonion, and for any noncen...
CR submanifolds of maximal CR dimension of a complex space form with recurrent shape operator
Complex space form CR submanifold of maximal CR dimension
2011/2/28
Let M be a CR submanifold of maximal CR dimension of a complex space form M. The shape operator A of the distinguished vector field is recurrent if there exists a 1-form v such that ∇A = A X...