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UNIVERSITE DE NICE-SOPHIA ANTIPOLIS - UFR SCIENCES Ecole Doctorale des Sciences et Technologies de la Communication

THESE pour obtenir le titre de

Docteur en Sciences de l’UNIVERSITE de Nice-Sophia Antipolis Discipline : Automatique Traitement du signal et des images ´ ´ et soutenue par present ee

AUTEUR Fabio VALENTE

Variational Bayesian Methods for Audio Indexing ` dirigee ´ par Christian WELLEKENS These soutenue le (23-09-2005)

Jury M. Jean-Paul Haton Professeur Rapporteur M. Laface Pietro Professeur Rapporteur ` M. Wellekens Christian Professeur Directeur de these M. Drygajlo Andrzej Docteur Examinateur


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Test Loglikelihood

â&#x2C6;&#x2019;4.8

â&#x2C6;&#x2019;5.4

â&#x2C6;&#x2019;5.6

â&#x2C6;&#x2019;5.8

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â&#x2C6;&#x2019;6

â&#x2C6;&#x2019;6.2

â&#x2C6;&#x2019;6

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400

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1800

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2000

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1200

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 B                  1'2        ( #34    = . 0/ !#" "%$& '( )  '*' + , ' ! "3"%$& 3 * 6   + 7  6- = 5

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â&#x2C6;&#x2019;4.8

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Test Loglikelihood

â&#x2C6;&#x2019;5.2

â&#x2C6;&#x2019;5.4

â&#x2C6;&#x2019;5.6

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â&#x2C6;&#x2019;6.2

â&#x2C6;&#x2019;6

0

200

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800

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1200

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2000

0

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1200

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 B                  1'2        ( #34    = !#" "%$& '( )  '*' + , ' ! "3"%$& 3 * 6   + 7  6- = 5

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â&#x2C6;&#x2019;5.6

â&#x2C6;&#x2019;5.8

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B

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200

400

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800

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1200

1400

1600

1800

2000

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3

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0.24

0.13 MAP ML VB

0.22

0.11

0.18

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Sigma

0.2

0.14

0.08

0.12

0.07

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0.06

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0.12

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200

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400

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600

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1200

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0.13

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0.07

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0

200

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400

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0

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400

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1600

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Test Loglikelihood

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â&#x2C6;&#x2019;4

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â&#x2C6;&#x2019;5.8

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Test Loglikelihood

Test Loglikelihood

â&#x2C6;&#x2019;5.2

â&#x2C6;&#x2019;5.4

â&#x2C6;&#x2019;5.6

â&#x2C6;&#x2019;5.8

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6

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4

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â&#x2C6;&#x2019;6.6 â&#x2C6;&#x2019;6 10


0.35

0.35 MAP ML VB

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0.25

0.25

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0.3

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0.3

0.15

0.15

0.1

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4

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6

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0.2

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â&#x2C6;&#x2019;5.8

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â&#x2C6;&#x2019;6.195

â&#x2C6;&#x2019;6.2

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â&#x2C6;&#x2019;7.2

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Variance

â&#x2C6;&#x2019;7.4

3.5

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