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» On numbers of Davenport-Schinzel sequences
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TCS
2008
15 years 1 months ago
True-concurrency probabilistic models: Markov nets and a law of large numbers
We introduce the model of Markov nets, a probabilistic extension of safe Petri nets under the true-concurrency semantics--this means that traces, not firing sequences, are given a...
Samy Abbes, Albert Benveniste
TCS
2008
15 years 1 months ago
Real algebraic numbers and polynomial systems of small degree
We present exact and complete algorithms based on precomputed Sturm-Habicht sequences, discriminants and invariants, that classify, isolate with rational points and compare the re...
Ioannis Z. Emiris, Elias P. Tsigaridas
BMCBI
2011
14 years 4 months ago
Inference of Chromosome-Specific Copy Numbers Using Population Haplotypes
Background: Using microarray and sequencing platforms, a large number of copy number variations (CNVs) have been identified in humans. In practice, because our human genome is a d...
Yao-Ting Huang, Min-Han Wu
TYPES
2000
Springer
15 years 4 months ago
A Tour with Constructive Real Numbers
Abstract. The aim of this work is to characterize constructive real numbers through a minimal axiomatization. We introduce, discuss and justify 16 constructive axioms. Then we addr...
Alberto Ciaffaglione, Pietro Di Gianantonio
BMCBI
2010
214views more  BMCBI 2010»
15 years 1 months ago
AutoSOME: a clustering method for identifying gene expression modules without prior knowledge of cluster number
Background: Clustering the information content of large high-dimensional gene expression datasets has widespread application in "omics" biology. Unfortunately, the under...
Aaron M. Newman, James B. Cooper