be shown as in F i g u r e I e x c e p t w i t h BEING-AT r e p l a c i n g S l e e p i n g . Note t h a t o n t h i s p o i n t ou r a n a l y s e s a r e i s o m o r p h i c t o t hose o f Schube r t ( 1 9 7 6 ) . The above does n o t a l l o w f o r one i m p o r t a n t c o n n e c t i o n be tween e v e n t o r s t a t e l o c a t i o n s and o b j e c t l o c a t i o n . For example f r o...

One application of graph theory is to analyze connectivity of neurons and axons in the brain. We begin with basic definitions from graph theory including the Cheeger constant, a measure of connectivity of a graph. In Section 2, we will examine expander graphs, which are very sparse yet highly connected. Surprisingly, not only do expander graphs exist, but most random graphs have the expander pr...

This paper presents an approach to information access based on spatiotemporal indexing. We describe GeoNODE, a “news on demand” system that visualizes news stories and other articles in terms of chronological time lines, geographical maps, and spatiotemporal animations. This spatiotemporal indexing is critically informed by our information extraction system, Alembic. This paper thus covers seve...

Whereas previous research has shown that either tree or spatial representations of dissimilarity judgments may be appropriate, focussing on the comparative fit at the aggregate level, we investigate whether there is heterogeneity among subjects in the extent to which their dissimilarity judgments are better represented by ultrametric tree or spatial multidimensional scaling models. We develop a...

The stability of two entangled spins dressed by electrons is studied by calculating the scattering phase shifts. The interaction between electrons is interpreted by full relativistic QED and the screening effect is also considered phenomecally in terms of the Debye exponential form e−αr. The results show that if the EPR-type states are kept stable under the interaction of QED, the spacial wave ...

The Compact Linear Collider (CLIC) project presents many challenges to its subsystems and the beam diagnostics in particular must perform beyond current limitations. The requirements for the CLIC main beam position monitors foresee a spacial resolution of 50 nm while delivering a 50 ns temporal resolution within the bunch train. We discuss the design of the microwave cavity pick-up and associat...

In this paper we propose KDE model for object segmentation on the basis of graph cut and density estimation. In this approach in the initial phase, the saliency map based graph cut is exploited to obtain an initial segmentation result. In the second phase iterative seed adjustment method results further segmentation and then exploits a balancing update scheme of segment refinement. And also it ...

This paper proposes a novel regularization approach for Extreme Learning Machines. Regularization is performed using a priori spacial information expressed by an affinity matrix. We show that the use of this type of a priori information is similar to perform Tikhonov regularization. Furthermore, if a parameter free affinity matrix is used, like the cosine similarity matrix, regularization is pe...