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  • 1
    Online Resource
    Online Resource
    Cambridge, United Kingdom ; : Cambridge University Press,
    UID:
    almahu_9949588295802882
    Format: 1 online resource (xvi, 363 pages) : , digital, PDF file(s).
    ISBN: 9781108565462 (ebook)
    Content: Through information theory, problems of communication and compression can be precisely modeled, formulated, and analyzed, and this information can be transformed by means of algorithms. Also, learning can be viewed as compression with side information. Aimed at students and researchers, this book addresses data compression and redundancy within existing methods and central topics in theoretical data compression, demonstrating how to use tools from analytic combinatorics to discover and analyze precise behavior of source codes. It shows that to present better learnable or extractable information in its shortest description, one must understand what the information is, and then algorithmically extract it in its most compact form via an efficient compression algorithm. Part I covers fixed-to-variable codes such as Shannon and Huffman codes, variable-to-fixed codes such as Tunstall and Khodak codes, and variable-to-variable Khodak codes for known sources. Part II discusses universal source coding for memoryless, Markov, and renewal sources.
    Note: Title from publisher's bibliographic system (viewed on 30 Aug 2023). , Preliminaries -- Shannon and Huffman FV codes -- Tunstall and Khodak VF codes -- Divide-and-conquer VF codes -- Khodak VV codes -- Nonprefix one-to-one codes -- Advanced data structures : tree compression -- Graph and structure compression -- Minimax redundancy and regret -- Redundancy of universal memoryless sources -- Markov types and redundancy for Markov sources -- Non-Markovian sources : redundancy of renewal processes.
    Additional Edition: Print version: ISBN 9781108474443
    Language: English
    URL: Volltext  (URL des Erstveröffentlichers)
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  • 2
    Online Resource
    Online Resource
    Cambridge :Cambridge University Press,
    UID:
    almahu_9948233705902882
    Format: 1 online resource (xxii, 366 pages) : , digital, PDF file(s).
    ISBN: 9780511843204 (ebook)
    Content: How do you distinguish a cat from a dog by their DNA? Did Shakespeare really write all of his plays? Pattern matching techniques can offer answers to these questions and to many others, from molecular biology, to telecommunications, to classifying Twitter content. This book for researchers and graduate students demonstrates the probabilistic approach to pattern matching, which predicts the performance of pattern matching algorithms with very high precision using analytic combinatorics and analytic information theory. Part I compiles known results of pattern matching problems via analytic methods. Part II focuses on applications to various data structures on words, such as digital trees, suffix trees, string complexity and string-based data compression. The authors use results and techniques from Part I and also introduce new methodology such as the Mellin transform and analytic depoissonization. More than 100 end-of-chapter problems help the reader to make the link between theory and practice.
    Note: Title from publisher's bibliographic system (viewed on 05 Oct 2015).
    Additional Edition: Print version: ISBN 9780521876087
    Language: English
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  • 3
    Book
    Book
    New York [u.a.] :Wiley,
    UID:
    almahu_BV013913069
    Format: XXII, 551 S. : graph. Darst.
    ISBN: 0-471-24063-X
    Series Statement: Wiley-Interscience series in discrete mathematics and optimization
    Language: English
    Subjects: Computer Science , Mathematics
    RVK:
    RVK:
    RVK:
    Keywords: Zeichenkette ; Programmanalyse ; Average-case-Komplexität
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  • 4
    UID:
    almahu_9948153767902882
    Format: PDFs (pages 169-256) : , illustrations
    ISBN: 9781611972986
    Content: The fifth Workshop on Analytic Algorithmics and Combinatorics (ANALCO08), will be held in San Francisco on January 19, 2008, at the Holiday Inn Golden Gateway. The aim of the ANALCO workshop is to provide a forum for the presentation of original research in the analysis of algorithms and associated combinatorial structures. We invite both papers that study properties of fundamental combinatorial structures that arise in practical computational applications (such as permutations, trees, strings, tries, and graphs) and papers that address the precise analysis of algorithms for processing such structures, including: average-case analysis; analysis of moments, extrema, and distributions; probabilistic analysis of randomized algorithms, and so on. Submissions that present significant new information about classic algorithms are welcome, as are new analyses of new algorithms that present unique analytic challenges. We also invite submissions that address tools and techniques for the analysis of algorithms and combinatorial structures, both mathematical and computational.
    Note: On the convergence of upper bound techniques for the average length of longest common subsequences / George S. Lueker -- Markovian embeddings of general random strings / Manuel E. Lladser -- Nearly tight bounds on the encoding length of the Burrows-Wheeler transform / Ankur Gupta, Roberto Grossi, and Jeffrey Scott Vitter -- Bloom maps / David Talbot and John Talbot -- Augmented graph models for small-world analysis with geographical factors / Van Nguyen and Chip Martel -- Exact analysis of the recurrence relations generalized from the Tower of Hanoi / Akihiro Matsuura -- Generating random derangements / Conrado Martínez, Alois Panholzer, and Helmut Prodinger -- On the number of Hamilton cycles in bounded degree graphs / Heidi Gebauer -- Analysis of the expected number of bit comparisons required by Quickselect / James Allen Fill and Takéhiko Nakama. , Mode of access: World Wide Web. , System requirements: Adobe Acrobat Reader.
    Language: English
    Keywords: Konferenzschrift
    URL: SIAM
    URL: Volltext  (URL des Erstveröffentlichers)
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  • 5
    Online Resource
    Online Resource
    New York :John Wiley,
    UID:
    almahu_9948197802602882
    Format: 1 online resource (xxii, 551 pages) : , illustrations
    ISBN: 9781118032770 , 1118032772 , 9781118031025 , 1118031024
    Note: Front Matter -- Problems on Words. Data Structures and Algorithms on Words -- Probabilistic and Analytical Models -- Probabilistic and Combinatorial Techniques. Inclusion-Exclusion Principle -- The First and Second Moment Methods -- Subadditive Ergodic Theorem and Large Deviations -- Elements of Information Theory -- Analytic Techniques. Generating Functions -- Complex Asymptotic Methods -- Mellin Transform and Its Applications -- Analytic Poissonization and Depoissonization -- Bibliography -- Index -- Wiley-Interscience Series in Discrete Mathematics and Optimization. , Data structures and algorithms on words -- Probabilistic and analytical models -- Inclusion-exclusion principle -- First and second moment methods -- Subadditive ergodic theorem and large deviations -- Elements of information theory -- Generating functions -- Complex asymptotic methods -- Mellin transform and its applications -- Analytic poissonization and depoissonization.
    Additional Edition: Print version: Szpankowski, Wojciech, 1952- Average case analysis of algorithms on sequences. New York : John Wiley, ©2001 ISBN 047124063X
    Language: English
    Keywords: Electronic books. ; Electronic books. ; Electronic books.
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  • 6
    UID:
    b3kat_BV047262456
    Format: 1 Online-Ressource (106 Seiten) , Illustrationen
    ISBN: 9781611973037
    Content: The aim of ANALCO is to provide a forum for the presentation of original research in the analysis of algorithms and associated combinatorial structures. We invite both papers that study properties of fundamental combinatorial structures that arise in practical computational applications (such as permutations, trees, strings, tries, and graphs) and papers that address the precise analysis of algorithms for processing such structures, including: average-case analysis; analysis of moments, extrema, and distributions; probabilistic analysis of randomized algorithms, and so on. Submissions that present significant new information about classic algorithms are welcome, as are new analyses of new algorithms that present unique analytic challenges. We also invite submissions that address tools and techniques for the analysis of algorithms and combinatorial structures, both mathematical and computational
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-1-61197-254-2
    Language: English
    Keywords: Konferenzschrift
    URL: Volltext  (URL des Erstveröffentlichers)
    Author information: Nebel, Markus 1969-
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  • 7
    UID:
    almahu_9948153767402882
    Format: PDFs (106 pages) : , illustrations
    ISBN: 9781611973037
    Content: The aim of ANALCO is to provide a forum for the presentation of original research in the analysis of algorithms and associated combinatorial structures. We invite both papers that study properties of fundamental combinatorial structures that arise in practical computational applications (such as permutations, trees, strings, tries, and graphs) and papers that address the precise analysis of algorithms for processing such structures, including: average-case analysis; analysis of moments, extrema, and distributions; probabilistic analysis of randomized algorithms, and so on. Submissions that present significant new information about classic algorithms are welcome, as are new analyses of new algorithms that present unique analytic challenges. We also invite submissions that address tools and techniques for the analysis of algorithms and combinatorial structures, both mathematical and computational.
    Note: Extremal parameters in sub-critical graph classes / Michael Drmota and Marc Noy -- The number of ways to assemble a graph / Miklós Bóna and Andrew Vince -- Bootstrap percolation on random geometric graphs (extended abstract) / Milan Bradonjić and Iraj Saniee -- Approximating fault-tolerant domination in general graphs / Klaus-Tycho Foerster -- Analysis of parameters of trees corresponding to huffman codes and sums of unit fractions / Clemens Heuberger, Daniel Krenn, and Stephan Wagner -- The variance of the number of 2-protected nodes in a trie / Jeffrey Gaither and Mark Daniel Ward -- Exact-size sampling for Motzkin trees in linear time via Boltzmann samplers and holonomic specification / A. Bacher, O. Bodini, and A. Jacquot -- Perpetuities in fair leader election algorithms / Ravi Kalpathy and Hosam M. Mahmoud -- Approximate counting of matchings in sparse uniform hypergraphs / Marek Karpinski, Andrzej Rucinski, and Edyta Szymanska -- When is it worthwhile to propagate a constraint? A probabilistic analysis of AllDifferent / Jérémie du Boisberranger, Danièle Gardy, Xavier Lorca, and Charlotte Truchet -- On delta-method of moments and probabilistic sums / Jacek Cichoń, Zbigniew Gołębiewski, Marcin Kardas, and Marek Klonowski -- Unlabeled equivalence for matroids representable over finite fields / S.R. Kingan. , Also available in print version. , Mode of access: World Wide Web. , System requirements: Adobe Acrobat Reader.
    Additional Edition: Print version: ISBN 9781611972542
    Language: English
    URL: SIAM
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  • 8
    Online Resource
    Online Resource
    Cambridge, United Kingdom ; : Cambridge University Press,
    UID:
    almafu_9961221569002883
    Format: 1 online resource (xvi, 363 pages) : , digital, PDF file(s).
    Edition: First edition.
    ISBN: 1-108-64798-7 , 1-108-56546-8
    Content: Through information theory, problems of communication and compression can be precisely modeled, formulated, and analyzed, and this information can be transformed by means of algorithms. Also, learning can be viewed as compression with side information. Aimed at students and researchers, this book addresses data compression and redundancy within existing methods and central topics in theoretical data compression, demonstrating how to use tools from analytic combinatorics to discover and analyze precise behavior of source codes. It shows that to present better learnable or extractable information in its shortest description, one must understand what the information is, and then algorithmically extract it in its most compact form via an efficient compression algorithm. Part I covers fixed-to-variable codes such as Shannon and Huffman codes, variable-to-fixed codes such as Tunstall and Khodak codes, and variable-to-variable Khodak codes for known sources. Part II discusses universal source coding for memoryless, Markov, and renewal sources.
    Note: Title from publisher's bibliographic system (viewed on 30 Aug 2023). , Preliminaries -- Shannon and Huffman FV codes -- Tunstall and Khodak VF codes -- Divide-and-conquer VF codes -- Khodak VV codes -- Nonprefix one-to-one codes -- Advanced data structures : tree compression -- Graph and structure compression -- Minimax redundancy and regret -- Redundancy of universal memoryless sources -- Markov types and redundancy for Markov sources -- Non-Markovian sources : redundancy of renewal processes.
    Additional Edition: ISBN 1-108-47444-6
    Language: English
    Library Location Call Number Volume/Issue/Year Availability
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