منابع مشابه
Topological entropy of DNA sequences
MOTIVATION Topological entropy has been one of the most difficult to implement of all the entropy-theoretic notions. This is primarily due to finite sample effects and high-dimensionality problems. In particular, topological entropy has been implemented in previous literature to conclude that entropy of exons is higher than of introns, thus implying that exons are more 'random' than introns. ...
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In this paper we introduce the concept of entropy operator for continuous systems of finite topological entropy. It is shown that it generates the Kolmogorov entropy as a special case. If $phi$ is invertible then the entropy operator is bounded with the topological entropy of $phi$ as its norm.
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Topological entropy is one of the most difficult entropies to be used to analyze the DNA sequences, due to the finite sample and high-dimensionality problems. In order to overcome these problems, a generalized topological entropy is introduced. The relationship between the topological entropy and the generalized topological entropy is compared, which shows the topological entropy is a special c...
متن کاملEstimating the entropy of DNA sequences.
The Shannon entropy is a standard measure for the order state of symbol sequences, such as, for example, DNA sequences. In order to incorporate correlations between symbols, the entropy of n-mers (consecutive strands of n symbols) has to be determined. Here, an assay is presented to estimate such higher order entropies (block entropies) for DNA sequences when the actual number of observations i...
متن کاملTopological entropy
1. Definitions and general properties. Let X be a compact topological space. Definition 1. For any open cover 31 of X let N(ñ) denote the number of sets in a subco ver of minimal cardinality. A subco ver of a cover is minimal if no other subcover contains fewer members. Since X is compact and 31 is an open cover, there always exists a finite subcover. To conform with prior work in ergodic theor...
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ژورنال
عنوان ژورنال: Bioinformatics
سال: 2011
ISSN: 1460-2059,1367-4803
DOI: 10.1093/bioinformatics/btr077