Mathematics of information and coding:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English Japanese |
| Published: |
Providence, RI
AMS
2002
|
| Series: | Translations of mathematical monographs
203 |
| Subjects: | |
| Online Access: | Table of contents Inhaltsverzeichnis |
| Physical Description: | XII, 286 |
| ISBN: | 0821805347 |
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MARC
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Record in the Search Index
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| adam_text | TRANSLATIONS OF MATHEMATICAL MONOGRAPHS VOLUME 203 MATHEMATICS OF
INFORMATION AND CODING TE SUN HAN KINGO KOBAYASHI JFRTT^T^ A 1116 0 *
11 MATHEMATICAL SOCIETY IV MM//! PROVIDENCE, RHODE ISLAND CONTENTS
PREFACE TO THE ENGLISH EDITION XI CHAPTER 1. WHAT IS INFORMATION THEORY?
1 1.1. INTRODUCTION 1 1.2. INFORMATION THEORY SO FAR 2 1.3. BASIC
ELEMENTS AND RELATED FIELDS 6 1.4. ABOUT THIS BOOK 16 19 19 25 31 37 40
41 51 73 73 79 84 86 88 93 95 99 106 109 115 127 127 131 139 142 145 148
151 CHAPTER 5. UNIVERSAL CODING OF INTEGERS 157 5.1. UNIVERSAL CODES OF
INTEGERS 157 CHAPTER 2.1. 2.2. 2.3. 2.4. 2.5. 2.6. 2. BASICS OF
INFORMATION THEORY ENTROPY DIVERGENCE MUTUAL INFORMATION DATA PROCESSING
INEQUALITY FANO S INEQUALITY TYPE OF SEQUENCES, TYPICAL SEQUENCES, AND
AEP EXERCISES CHAPTER 3.1. 3.2. 3.3. 3.4. 3.5. 3.6. 3.7. 3.8. 3.9. 3.10.
3. SOURCE AND CODING VARIOUS INFORMATION SOURCES ENTROPY RATE OF SOURCE
-VARIOUS CODES AEP AND SOURCE CODING THEOREM SEPARABLE CODES AND PREFIX
CODES CONVERSE THEOREM FOR FV CODING DIRECT THEOREM FOR FV CODING
HUFFMAN CODE CODING FOR ARBITRARILY VARYING SOURCES RELIABILITY FUNCTION
FOR SOURCE CODING EXERCISES CHAPTER 4.1. 4.2. 4.3. 4.4. 4.5. 4.6. 4.
ARITHMETIC CODE ELIAS CODE ALGORITHM OF ARITHMETIC CODE ASYMPTOTIC
OPTIMALITY OF ARITHMETIC CODE ARITHMETIC CODE AS NUMBER SYSTEM
ENUMERATIVE CODE ARITHMETIC CODE AS TREE CODE EXERCISES X CONTENTS 5.2.
SEARCH TREE OF BENTLEY-YAO 166 5.3. BOUNDS FOR ELIAS CODEWORD LENGTH
FUNCTIONS 170 5.4. PROPERTIES OF THE LOG-STAR FUNCTION 180 5.5. MODIFIED
LOG-STAR FUNCTIONS 182 EXERCISES 188 CHAPTER 6. UNIVERSAL CODING OF
TEXTS 193 6.1. LEMPEL-ZIV CODE BASED ON INCREMENTAL PARSING 193 6.2.
LEMPEL-ZIV CODE BASED ON RECURRENCE TIME 202 EXERCISES 214 CHAPTER 7.
UNIVERSAL CODING OF COMPOUND SOURCES 219 7.1. COMPOUND SOURCE 219 7.2.
SUB-PROBABILITY AND CODEWORD LENGTH 220 7.3. UNIVERSAL CODE FOR COMPOUND
SOURCE 222 7.4. ESTIMATION OF PROBABILITY DISTRIBUTION 223 7.5.
RISSANEN S TWO-STEP CODING 225 7.6. RISSANEN S PREDICTIVE CODING 231
7.7. STOCHASTIC COMPLEXITY 233 7.8. BAYES CODE 234 7.9. MODEL SELECTION
AND UNIVERSAL CODE 239 7.10. CONSISTENCY OF MODEL SELECTION 242
EXERCISES 248 CHAPTER 8. DATA ANALYSIS AND MDL PRINCIPLE 253 8.1.
FITTING OF EXPERIMENTAL DATA 254 8.2. HISTOGRAM APPROXIMATION FOR
PROBABILITY DENSITY 257 8.3. SELF-ORGANIZATION OF DATA 258 8.4.
SELF-FORMATION OF CATEGORY 262 8.5. CATEGORY CLASSIFICATION BY DECISION
TREE 263 8.6. PROBABILISTIC CATEGORY CLASSIFICATION 266 8.7. ABOUT AIC
CRITERION 269 EXERCISES 273 BIBLIOGRAPHY 277 INDEX 283
|
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| dewey-tens | 000 - Computer science, information, general works |
| discipline | Informatik Mathematik |
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| indexdate | 2024-07-09T18:54:53Z |
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| isbn | 0821805347 |
| language | English Japanese |
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| physical | XII, 286 |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | AMS |
| record_format | marc |
| series | Translations of mathematical monographs |
| series2 | Translations of mathematical monographs |
| spelling | Han, Te Sun 1941- Verfasser (DE-588)124019463 aut Mathematics of information and coding Te Sun Han ; Kingo Kobayashi Providence, RI AMS 2002 XII, 286 txt rdacontent n rdamedia nc rdacarrier Translations of mathematical monographs 203 Codage Information, Théorie de l' Coding theory Information theory Codierungstheorie (DE-588)4139405-7 gnd rswk-swf Informationstheorie (DE-588)4026927-9 gnd rswk-swf Codierungstheorie (DE-588)4139405-7 s Informationstheorie (DE-588)4026927-9 s DE-604 Kobayashi, Kingo 1943- Verfasser (DE-588)113686307 aut Translations of mathematical monographs 203 (DE-604)BV000002394 203 http://www.loc.gov/catdir/toc/fy022/2001041262.html Table of contents GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009543767&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Han, Te Sun 1941- Kobayashi, Kingo 1943- Mathematics of information and coding Translations of mathematical monographs Codage Information, Théorie de l' Coding theory Information theory Codierungstheorie (DE-588)4139405-7 gnd Informationstheorie (DE-588)4026927-9 gnd |
| subject_GND | (DE-588)4139405-7 (DE-588)4026927-9 |
| title | Mathematics of information and coding |
| title_auth | Mathematics of information and coding |
| title_exact_search | Mathematics of information and coding |
| title_full | Mathematics of information and coding Te Sun Han ; Kingo Kobayashi |
| title_fullStr | Mathematics of information and coding Te Sun Han ; Kingo Kobayashi |
| title_full_unstemmed | Mathematics of information and coding Te Sun Han ; Kingo Kobayashi |
| title_short | Mathematics of information and coding |
| title_sort | mathematics of information and coding |
| topic | Codage Information, Théorie de l' Coding theory Information theory Codierungstheorie (DE-588)4139405-7 gnd Informationstheorie (DE-588)4026927-9 gnd |
| topic_facet | Codage Information, Théorie de l' Coding theory Information theory Codierungstheorie Informationstheorie |
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