Foundations of Quantization for Probability Distributions (Lecture Notes in Mathematics)
by Siegfried Graf and Harald Luschgy
Due to the rapidly increasing need for methods of data compression, quantization has become a flourishing field in signal and image processing and information theory. The same techniques are also used in statistics (cluster analysis), pattern recognition, and operations research (optimal location of service centers). The book gives the first mathematically rigorous account of the fundamental theory underlying these applications. The emphasis is on the asymptotics of quantization errors for absolutely continuous and special classes of singular probabilities (surface measures, self-similar measures) presenting some new results for the first time. Written for researchers and graduate students in probability theory the monograph is of potential interest to all people working in the disciplines mentioned above.
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Subjects
Cluster analysis, Distribution (Probability theory), Coding theory, Fractals, Beste Approximation, Fractales, Distribution (Theorie des probabilites), Codage, Waarschijnlijkheidsverdelingen, Classification automatique (Statistique), Quantisierung, Wahrscheinlichkeitsverteilung, Mathematics, Optical pattern recognition, Mathematical statistics, Telecommunication| Edition | Availability |
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1
Foundations of Quantization for Probability Distributions
2007, Springer London, Limited
in English
3540455779 9783540455776
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2
Foundations of Quantization for Probability Distributions (Lecture Notes in Mathematics)
June 16, 2000, Springer
Paperback
in English
- 1 edition
3540673946 9783540673941
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Book Details
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"The term "quantization" in the title originates in the theory of signal processing."
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