Figure 1: The proposed method.

Web Figure 1

P Figure 1: Lookup Table Figure 2: Decomposition

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...

Theory in Biology: Figure 1 or Figure 7?

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...

B.3 Dynamic Hashing Figure 6: Rejection Method B.1 Rejection Method

Any single hash function chosen can encounter some bad worst-case inputs that cause linear-time rather than constant-time performance. The remedy devised by Carter and Wegman 2] is to choose a hash function randomly from a good collection H of hash functions and get constant expected performance independent of any particular input sequence. We say that H is c-universal if for every pair of inpu...

Figure Captions. Figure 1. an Example of a Domain

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...