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We study the harmonic map equations for maps of a Riemann surface into a Riemannian symmetric space of compact type from the point of view of soliton theory. There is a well-known dressing action of a...
This is the second of a series of papers which is devoted to a comprehensive theory of maps between orbifolds. In this paper, we develop a basic machinery for studying homotopy classes of such maps. I...
This is the first of a series of papers which is devoted to a comprehensive theory of maps between orbifolds. In this paper, we define the maps in the more general context of orbispaces, and establish...
We study the space of conformal immersions of a 2-torus into the 4-sphere. The moduli space of generalized Darboux transforms of such an immersed torus has the structure of a Riemann surface, the spec...
We establish a link between Fourier optics and a recent construction from the machine learning community termed the kernel mean map. Using the Fraunhofer approximation, it identifies the kernel with t...
Disease maps display the spatial pattern in disease risk, so that high-risk clusters can be identi ed. The spatial structure in the risk map is typically represented by a set of random e ects, which a...
基于“Topic”的语义信息组织与图书馆学的经典Subject理论密不可分,可将其视为较为抽象化的Subject理论在语义Web环境下的一种“演化”和实用化的主题技术。文章首先解读Subject和Topic的概念,并概述两种基于Topic的国际标准技术,即Topic Maps和DITA;其次,简要描述Topic Maps的技术和应用,并重点介绍在图书馆界鲜为人知的DITA技术及其应用;再次,对基于...
We introduce a natural definition of Riesz measures and Wishart laws associated to an $\Omega$-positive (virtual) quadratic map, where $\Omega \subset \real^n$ is a regular open convex cone.
Abstract. We introduce vector di usion maps (VDM), a new mathematical framework for orga-nizing and analyzing massive high dimensional data sets, images and shapes. VDM is a mathematical and algorithm...
Results of neural network learning are always subject to some variability, due to the sensitivity to initial conditions, to convergence to local minima, and, sometimes more dramatically, to sampling v...
Self-organizing maps (SOM) are widely used for their topology preservation property: neighboring input vectors are quantified (or classified) either on the same location or on neighbor ones on a prede...
Jensen's inequality for Schwarz maps in von Neumann algebras
Map positional error refers to the dierence between a feature coordinate pair on a map and the corresponding true, unknown coordinate pair. In a geographic information system (GIS), this error is pro...
A concept map is a data collection tool developed in psychology and education to obtain information about mental representations of concept asso- ciations. This methodology has recently been introdu...
The aim of our paper is to explain a mathematical model as a special case of symbolic knowledge map. Each knowledge mapping is a visualization of knowledge for the purpose of its eliciting, sharing an...

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