Let $alpha$ be an automorphism of a ring $R$. The authors [On skewinverse Laurent-serieswise Armendariz rings, Comm. Algebra 40(1)(2012) 138-156] applied the concept of Armendariz rings to inverseskew Laurent series rings and introduced skew inverseLaurent-serieswise Armendariz rings. In this article, we study on aspecial type of these rings and introduce strongly Armendariz ringsof inverse ske...

This paper addresses the issue of discovering key sequences from time series data for pattern classification. The aim is to find from a symbolic database all sequences that are both indicative and non-redundant. A sequence as such is called a key sequence in the paper. In order to solve this problem we first we establish criteria to evaluate sequences in terms of the measures of evaluation base...

Experimental data show that biological synapses behave quite differently from the symbolic synapses in common artificial neural network models. Biological synapses are dynamic, i.e., their “weight” changes on a short time scale by several hundred percent in dependence of the past input to the synapse. In this article we explore the consequences that these synaptic dynamics entail for the comput...

The heuristics used for planning and search often take the form of pattern databases generated from abstracted versions of the given state space. Pattern databases are typically stored as lookup tables with one entry for each state in the abstract space, which limits the size of the abstract state space and therefore the quality of the heuristic that can be used with a given amount of memory. I...

The Lie Algebra package LieMath written in the Mathematica language constructs the beamline map in a singleexponent Lie generator form. The algorithm (a BCH-based map concatenation) has been recently enhanced with Truncated Power Series Algebra (TPSA) techniques. The polynomials produced by the series expansion of the Hamiltonian are replaced with arrays of coefficients (derivative structures) ...

An important challenge in data mining is in identifying "similar" temporal patterns that may illuminate hidden information in a database of time series. We are actively engaged in the development of a temporal database of several thousand ICU patient records that contains time-varying physiologic measurements recorded over each patient's ICU stay. The discovery of multiparameter temporal patter...