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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...
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...
Some unbounded functions of intermittent maps for which the central limit theorem holds.
Self-organizing maps (SOMs) are a technique that has been used with high-dimensional data vectors to develop an archetypal set of states (nodes) that span, in some sense, the high-dimensional space....

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