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Full-Text Articles in Physical Sciences and Mathematics

Data Mining With Newton's Method., James Dale Cloyd Dec 2002

Data Mining With Newton's Method., James Dale Cloyd

Electronic Theses and Dissertations

Capable and well-organized data mining algorithms are essential and fundamental to helpful, useful, and successful knowledge discovery in databases. We discuss several data mining algorithms including genetic algorithms (GAs). In addition, we propose a modified multivariate Newton's method (NM) approach to data mining of technical data. Several strategies are employed to stabilize Newton's method to pathological function behavior. NM is compared to GAs and to the simplex evolutionary operation algorithm (EVOP). We find that GAs, NM, and EVOP all perform efficiently for well-behaved global optimization functions with NM providing an exponential improvement in convergence rate. For local optimization problems, we …


Data Mining Feature Subset Weighting And Selection Using Genetic Algorithms, Okan Yilmaz Mar 2002

Data Mining Feature Subset Weighting And Selection Using Genetic Algorithms, Okan Yilmaz

Theses and Dissertations

We present a simple genetic algorithm (sGA), which is developed under Genetic Rule and Classifier Construction Environment (GRaCCE) to solve feature subset selection and weighting problem to have better classification accuracy on k-nearest neighborhood (KNN) algorithm. Our hypotheses are that weighting the features will affect the performance of the KNN algorithm and will cause better classification accuracy rate than that of binary classification. The weighted-sGA algorithm uses real-value chromosomes to find the weights for features and binary-sGA uses integer-value chromosomes to select the subset of features from original feature set. A Repair algorithm is developed for weighted-sGA algorithm to guarantee …


Group Properties Of Crossover And Mutation, Jonathan E. Rowe, Michael D. Vose, Alden H. Wright Jan 2002

Group Properties Of Crossover And Mutation, Jonathan E. Rowe, Michael D. Vose, Alden H. Wright

Computer Science Faculty Publications

It is supposed that the finite search space Ω has certain symmetries that can be described in terms of a group of permutations acting upon it. If crossover and mutation respect these symmetries, then these operators can be described in terms of a mixing matrix and a group of permutation matrices. Conditions under which certain subsets of Ω are invariant under crossover are investigated, leading to a generalization of the term schema. Finally, it is sometimes possible for the group acting on Ω to induce a group structure on Ω itself.


The Single Row Routing Problem Revisited: A Solution Based On Genetic Algorithms, Albert Y. Zomaya, Roger Karpin, Stephan Olariu Jan 2002

The Single Row Routing Problem Revisited: A Solution Based On Genetic Algorithms, Albert Y. Zomaya, Roger Karpin, Stephan Olariu

Computer Science Faculty Publications

With the advent of VLSI technology, circuits with more than one million transistors have been integrated onto a single chip. As the complexity of ICs grows, the time and money spent on designing the circuits become more important. A large, often dominant, part of the cost and time required to design an IC is consumed in the routing operation. The routing of carriers, such as in IC chips and printed circuit boards, is a classical problem in Computer Aided Design. With the complexity inherent in VLSI circuits, high performance routers are necessary. In this paper, a crucial step in the …