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Association rules are statements of the form "for 90 % of the rows of the relation, if the row has value 1 in the columns in set X, then it has 1 also in the columns in set Y ". EEcient methods exist for discovering association rules from large collections of data. The number of discovered rules can, however, be so large that the rules cannot be presented(More)
We introduce a new method for linkage disequilibrium mapping: haplotype pattern mining (HPM). The method, inspired by data mining methods, is based on discovery of recurrent patterns. We define a class of useful haplotype patterns in genetic case-control data and use the algorithm for finding disease-associated haplotypes. The haplotypes are ordered by(More)
A state-space solutionof the H1 control problem for periodic multirate sampled-data systems is presented. The solution is characterized in terms of a pair of discrete algebraic Riccati equations with a set of associated matrix positive deeniteness conditions and coupling criteria. The solution is derived using two diierent approaches. In the rst approach,(More)
We have analyzed a dense set of single-nucleotide polymorphisms (SNPs) and microsatellites spanning the T-helper cytokine gene cluster (interleukins 3, 4, 5, 9, and 13, interferon regulatory factor-1, colony-stimulating factor-2, and T-cell transcription factor-7) on 5q31 and the gene encoding the interleukin-4 receptor (IL4R) on 16p12 among Finnish(More)
A new discretization based solution to the sampled-data H 1 control problem is given. In contrast to previous solution procedures, the method is not based on the lifting technique. Instead, an equivalent nite-dimensional discrete problem representation is derived directly from a description of the sampled-data system. This is achieved via a closed-loop(More)
A state-space solution to the H 1 control problem for periodic multirate systems is presented. The solution is based on the lifting method, where an equivalent time-invariant system description is derived for the original periodic multirate problem. The H 1-optimal controller for the multirate system is expressed in terms of two algebraic Riccati equations.(More)