Foundations of Quantization for Probability Distributions
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...
محفوظ في:
| المؤلفون الرئيسيون: | , |
|---|---|
| التنسيق: | Livre numérique |
| اللغة: | Anglais |
| منشور في: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| سلاسل: | Lecture notes in mathematics
1730 |
| الموضوعات: | |
| الوصول للمادة أونلاين: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| ملاحظة: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Foundations of quantization for probability distributions, Siegfried Graf, Harald Luschgy, 2000, Berlin, Springer, 1 vol. (X-230 p.), Lecture notes in mathematics, 3-540-67394-6 • Foundations of Quantization for Probability Distributions, Texte imprimé, 9783662168271 |
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| 008 | 110927q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN155164120 | ||
| 020 | |a 9783540455776 (PDF) | ||
| 041 | 0 | |a eng | |
| 082 | |a 510 | ||
| 100 | 1 | |a Graf, Siegfried, |d 1949- | |
| 245 | 1 | 0 | |a Foundations of Quantization for Probability Distributions |c Siegfried Graf, Harald Luschgy. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1730 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a I. General properties of the quantization for probability distributions: Voronoi partitions. Centers and moments of probability distributions. The quantization problem. Basic properties of optimal quantizers. Uniqueness and optimality in one dimension -- II. Asymptotic quantization for nonsingular probability distributions: Asymptotics for the quantization error. Asymptotically optimal quantizers. Regular quantizers and quantization coefficients. Random quantizers and quantization coefficients. Asymptotics for the covering radius -- III. Asymptotic quantization for singular probability distributions: The quantization dimension. Regular sets and measures of dimension D. Rectifiable curves. Self-similar sets and measures. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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. | ||
| 650 | |a Fractales | ||
| 650 | |a Distribution (théorie des probabilités) | ||
| 650 | |a Classification automatique (statistique) | ||
| 650 | |a Recherche opérationnelle | ||
| 650 | |a Probabilités | ||
| 650 | |a Mathématiques | ||
| 650 | |a Perception des structures | ||
| 650 | |a Méthodes statistiques | ||
| 700 | 1 | |a Luschgy, Harald, |d 1949- |4 aut | |
| 776 | 0 | |0 053603710 |t Foundations of quantization for probability distributions |f Siegfried Graf, Harald Luschgy |d 2000 |c Berlin |n Springer |p 1 vol. (X-230 p.) |s Lecture notes in mathematics |z 3-540-67394-6 | |
| 776 | 0 | |t Foundations of Quantization for Probability Distributions |b Texte imprimé |z 9783662168271 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0103945 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-8G5DMSGM-0 |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:747822271 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/BFb0103945 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:750839090 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/BFb0103945 |z Accès INSA CVL | |
| 997 | |0 943778 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||