a t t e r n T h e o r e t i c L e a r n i n g Abstract The goal of learning from sample data is to extract a concept that captures the underlying pattern while still representing it in a way useful to the investigator. A new approach based on function decomposition in the Pattern Theory framework is presented here. The objective of this extended abstract is threefold. The rst is to provide an o...

The pace of modern science is staggering. The quantities of data now flowing from DNA sequencers, fluorescence and electron microscopes, mass spectrometers, and other mind-blowing instruments leave us faced with information overload. This explosion in data has brought on its heels a concomitant need for efforts at the kinds of synthesis and unification we see in theoretical physics. Often in ce...

BACKGROUND Figures are important experimental results that are typically reported in full-text bioscience articles. Bioscience researchers need to access figures to validate research facts and to formulate or to test novel research hypotheses. On the other hand, the sheer volume of bioscience literature has made it difficult to access figures. Therefore, we are developing an intelligent figure ...

An e cient multigrid approach for solving a discretized elliptic equation whose boundary values are determined in part by integral relations is developed, analyzed and tested. The algorithm is implemented on a problem that is solved during integration of the three-dimensional Quasigeostrophic equations, which model large-scale rotating strati ed ows, where the integral constraints represent mas...

This paper focuses on accuracy and other technology trends for inertial sensors, Global Positioning Systems (GPS), and integrated Inertial Navigation System (INS)/GPS systems, including considerations of interference, that will lead to better than 1 meter accuracy navigation systems of the future. For inertial sensors, trend-setting sensor technologies will be described. A vision of the inertia...

A 25 year-old Construction worker underwent neck laceration following penetrating neck trauma in a falling incident. The 3rd tracheal ring was injured which was initially repaired and the patient was discharged in good general condition. (Figure 1 shows the patient’s neck view after discharge from hospital).Two months later the patient was again admitted due to provocative coughing and a metal ...

We develop a new framework for analysing finite connected, oriented graphs of valency four, which admit a vertex-transitive and edge-transitive group of automorphisms preserving the edge orientation. We identify a sub-family of ‘basic’ graphs such that each graph of this type is a normal cover of at least one basic graph. The basic graphs either admit an edge-transitive group of automorphisms t...