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Information entropy as a measure of DEM quality
Computers & Geosciences, 2012The Shannon-Weaver Information statistic has been proposed as a useful measure of the quality of a Digital Elevation Model. However the statistic, usually referred to as entropy, is based purely on the range of values in a dataset and their relative proportion and is not directly related to the accuracy of those values or their spatial arrangement ...
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Cumulative Residual Entropy: A New Measure of Information
IEEE Transactions on Information Theory, 2004In this paper, we use the cumulative distribution of a random variable to define its information content and thereby develop an alternative measure of uncertainty that extends Shannon entropy to random variables with continuous distributions. We call this measure cumulative residual entropy (CRE).
Murali Rao +3 more
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Relative Entropy as a Measure of Diagnostic Information
Medical Decision Making, 1999Relative entropy is a concept within information theory that provides a measure of the distance between two probability distributions. The author proposes that the amount of information gained by performing a diagnostic test can be quantified by calculating the relative entropy between the posttest and pretest probability distributions. This statistic,
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Information‐theoretical entropy as a measure of sequence variability
Proteins: Structure, Function, and Bioinformatics, 1991AbstractWe propose the use of the information‐theoretical entropy, S = −Σpi log2 Pi, as a measure of variability at a given position in a set of aligned sequences. pi stands for the fraction of times the i‐th type appears at a position. For protein sequences, the sum has up to 20 terms, for nucleotide sequences, up to 4 terms, and for codon sequences ...
P S, Shenkin, B, Erman, L D, Mastrandrea
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Generalizations of Entropy and Information Measures
2015This paper presents and discusses two generalized forms of the Shannon entropy, as well as a generalized information measure. These measures are applied on a exponential-power generalization of the usual Normal distribution, emerged from a generalized form of the Fisher’s entropy type information measure, essential to Cryptology.
Thomas L. Toulias, Christos P. Kitsos
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Identification of entropy as an information measure
2005Abstract In this chapter, we will use coding theory to prove that the entropy does indeed represent the information content of a set of messages generated according to a set of prescribed probabilities. We will first do this by showing that the average number of bits used per message is equal to the entropy H , if we use the optimal code
A C C Coolen, R Kühn, P Sollich
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Entropy measures and granularity measures for set-valued information systems
Information Sciences, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jianhua Dai, Haowei Tian
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Measurement of the axial displacement with information entropy
Journal of Optics A: Pure and Applied Optics, 2004For completely describing the movement of a bead in an optical tweezer system, the measurement of the axial movement of the bead is necessary as well as its lateral movement. In order to find a convenient method to measure the axial displacement of the trapped bead, a new method based on Shannon's information entropy is developed. When the bead is in a
J H Bao, Y M Li, L R Lou, Z Wang
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Information and Entropy Measurements on Video Sequences
2005 5th International Conference on Information Communications & Signal Processing, 2006Video compression techniques usually involve lossy compression algorithms, with much of the original image data being discarded because it is not essential for human perception. However, lossy compression not only reduces data volume substantially, it also removes a reference for how well the remaining data has been compressed. Entropy measurements can
K. Kawaharada, K. Ohzeki, U. Speidel
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Measuring Informativeness of Data by Entropy and Variance
1999Measuring informativeness of data or news is particularly important as it quantifies the amount of “learning”. This is central to scientific progress as well as to assessing the direction and value of “information” and technologies. As is the case with all “indices”, the desirability of any measure of information depends on at least two considerations:
Nader Ebrahimi +2 more
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