Kernel methods for pattern analysis:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge [u.a.]
Cambridge Univ. Press
2009
|
| Ausgabe: | 4. print. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Hier auch später erschienene, unveränderte Nachdrucke |
| Beschreibung: | XIV, 462 S. Ill., graph. Darst. |
| ISBN: | 9780521813976 |
Internformat
MARC
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| 100 | 1 | |a Shawe-Taylor, John |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Kernel methods for pattern analysis |c John Shawe-Taylor ; Nello Cristianini |
| 250 | |a 4. print. | ||
| 264 | 1 | |a Cambridge [u.a.] |b Cambridge Univ. Press |c 2009 | |
| 300 | |a XIV, 462 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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| 338 | |b nc |2 rdacarrier | ||
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-018646845 | ||
Datensatz im Suchindex
| DE-BY-863_location | 1000 |
|---|---|
| DE-BY-FWS_call_number | 1000/SK 840 S537 |
| DE-BY-FWS_katkey | 640999 |
| DE-BY-FWS_media_number | 083101350277 |
| _version_ | 1806176763065139200 |
| adam_text | Contents
List of code fragments
page
vin
Preface
xi
Part I Basic concepts
1
1
Pattern analysis
3
1.1
Patterns in data
4
1.2
Pattern analysis algorithms
12
1.3
Exploiting patterns
17
1.4
Summary
22
1.5
Further reading and advanced topics
23
2
Kernel methods: an overview
25
2.1
The overall picture
26
2.2
Linear regression in a feature space
27
2.3
Other examples
36
2.4
The modularity of kernel methods
42
2.5
Roadmap of the book
43
2.6
Summary
44
2.7
Further reading and advanced topics
45
3
Properties of kernels
47
3.1
Inner products and positive semi-definite matrices
48
3.2
Characterisation of kernels
60
3.3
The kernel matrix
68
3.4
Kernel construction
74
3.5
Summary
82
3.6
Further reading and advanced topics
82
4
Detecting stable patterns
85
4.1
Concentration inequalities
86
4.2
Capacity and
régularisation:
Rademacher
theory
93
vi
Contents
4.3
Pattern stability for kernel-based classes
97
4.4
A pragmatic approach
104
4.5
Summary
105
4.6
Further reading and advanced topics
106
Part II Pattern analysis algorithms
109
5
Elementary algorithms in feature space 111
5.1
Means and distances
112
5.2
Computing projections: Gram-Schmidt, QR and Cholesky
122
5.3
Measuring the spread of the data
128
5.4
Fisher discriminant analysis I
132
5.5
Summary
137
5.6
Further reading and advanced topics
138
6
Pattern analysis using eigen-decompositions
140
6.1
Singular value decomposition
141
6.2
Principal components analysis
143
6.3
Directions of maximum covariance
155
6.4
The generalised eigenvector problem
161
6.5
Canonical correlation analysis
164
6.6
Fisher discriminant analysis II
176
6.7
Methods for linear regression
176
6.8
Summary
192
6.9
Further reading and advanced topics
193
7
Pattern analysis using convex optimisation
195
7.1
The smallest enclosing hypersphere
196
7.2
Support vector machines for classification
211
7.3
Support vector machines for regression
230
7.4
On-line classification and regression
241
7.5
Summary
249
7.6
Further reading and advanced topics
250
8
Ranking, clustering and data visualisation
252
8.1
Discovering rank relations
253
8.2
Discovering cluster structure in a feature space
264
8.3
Data visualisation
280
8.4
Summary
286
8.5
Further reading and advanced topics
286
Part III Constructing kernels
289
9
Basic kernels and kernel types
291
9.1
Kernels in closed form
292
Contents
vii
9.2 ANOVA
kernels
297
9.3 Kernels
from graphs
304
9.4
Diffusion kernels on graph nodes
310
9.5
Kernels on sets
314
9.6
Kernels on real numbers
318
9.7
Randomised kernels
320
9.8
Other kernel types
322
9.9
Summary
324
9.10
Further reading and advanced topics
325
10
Kernels for text
327
10.1
From bag of words to semantic space
328
10.2
Vector space kernels
331
10.3
Summary
341
10.4
Further reading and advanced topics
342
11
Kernels for structured data: strings, trees, etc.
344
11.1
Comparing strings and sequences
345
11.2
Spectrum kernels
347
11.3
All-subsequences kernels
351
11.4
Fixed length subsequences kernels
357
11.5
Gap-weighted subsequences kernels
360
11.6
Beyond dynamic programming: trie-based kernels
372
11.7
Kernels for structured data
382
11.8
Summary
395
11.9
Further reading and advanced topics
395
12
Kernels from generative models
397
12.1
P-kernels
398
12.2
Fisher kernels
421
12.3
Summary
435
12.4
Further reading and advanced topics
436
Appendix A Proofs omitted from the main text
437
Appendix
В
Notational conventions
444
Appendix
С
List of pattern analysis methods
446
Appendix
D
List of kernels
448
References
450
Index
460
|
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| author | Shawe-Taylor, John |
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| author_facet | Shawe-Taylor, John |
| author_role | aut |
| author_sort | Shawe-Taylor, John |
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| bvnumber | BV035787449 |
| classification_rvk | SK 840 ST 330 |
| ctrlnum | (OCoLC)601723713 (DE-599)BVBBV035787449 |
| discipline | Informatik Mathematik |
| edition | 4. print. |
| format | Book |
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| id | DE-604.BV035787449 |
| illustrated | Illustrated |
| indexdate | 2024-08-01T11:26:28Z |
| institution | BVB |
| isbn | 9780521813976 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018646845 |
| oclc_num | 601723713 |
| open_access_boolean | |
| owner | DE-83 DE-703 DE-11 DE-B170 DE-863 DE-BY-FWS |
| owner_facet | DE-83 DE-703 DE-11 DE-B170 DE-863 DE-BY-FWS |
| physical | XIV, 462 S. Ill., graph. Darst. |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| spellingShingle | Shawe-Taylor, John Kernel methods for pattern analysis Musteranalyse (DE-588)4226567-8 gnd Kernfunktion (DE-588)4163607-7 gnd |
| subject_GND | (DE-588)4226567-8 (DE-588)4163607-7 |
| title | Kernel methods for pattern analysis |
| title_auth | Kernel methods for pattern analysis |
| title_exact_search | Kernel methods for pattern analysis |
| title_full | Kernel methods for pattern analysis John Shawe-Taylor ; Nello Cristianini |
| title_fullStr | Kernel methods for pattern analysis John Shawe-Taylor ; Nello Cristianini |
| title_full_unstemmed | Kernel methods for pattern analysis John Shawe-Taylor ; Nello Cristianini |
| title_short | Kernel methods for pattern analysis |
| title_sort | kernel methods for pattern analysis |
| topic | Musteranalyse (DE-588)4226567-8 gnd Kernfunktion (DE-588)4163607-7 gnd |
| topic_facet | Musteranalyse Kernfunktion |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018646845&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT shawetaylorjohn kernelmethodsforpatternanalysis AT cristianininello kernelmethodsforpatternanalysis |
Inhaltsverzeichnis
THWS Würzburg Zentralbibliothek Lesesaal
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1000 SK 840 S537 |
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