Komet 1915e (Taylor)

Meta Web Search with KOMET

KOMET is a logic-based mediator system that was designed for the knowledge-based integration of heterogeneous information sources CJKS97]. One of the main challenges in using the numerous information sources in the World Wide Web is to cope with their heterogeneity. In this work we demonstrate how popular web search services like Yahoo and AltaVista can be combined in the framework of KOMET to ...

From Taylor Series to Taylor Models

An overview of the background of Taylor series methods and the utilization of the differential algebraic structure is given, and various associated techniques are reviewed. The conventional Taylor methods are extended to allow for a rigorous treatment of bounds for the remainder of the expansion in a similarly universal way. Utilizing differential algebraic and functional analytic arguments on ...

James Taylor

Taylor Expansion for the Entropy Rate of Hidden Markov Chains

We study the entropy rate of a hidden Markov process, defined by observing the output of a symmetric channel whose input is a first order Markov process. Although this definition is very simple, obtaining the exact amount of entropy rate in calculation is an open problem. We introduce some probability matrices based on Markov chain's and channel's parameters. Then, we try to obtain an estimate ...

Gravitationally dressed Parke-Taylor

A generating function for the Parke-Taylor amplitudes with any number of positive helicity gravitons in addition to the positive helicity gluons is obtained using the recently constructed self-dual classical solution of the type of perturbiner in Yang-Mills theory interacting with gravity. Computation of multi-particle amplitudes in gauge theories in the leading and next-to-leading orders has t...