ARISTOTLE UNIVERSITY OF THESSALONIKI

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20/07/2000, Page 1 HYPERGEO 1 st technical verification ARISTOTLE UNIVERSITY OF THESSALONIKI Word Category Map Creation A. Georgakis, C. Kotropoulos, I. Pitas

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ARISTOTLE UNIVERSITY OF THESSALONIKI. Word Category Map Creation A. Georgakis, C. Kotropoulos, I. Pitas. ARISTOTLE UNIVERSITY OF THESSALONIKI. Dimensionality reduction. - PowerPoint PPT Presentation

Transcript of ARISTOTLE UNIVERSITY OF THESSALONIKI

Page 1: ARISTOTLE UNIVERSITY OF THESSALONIKI

20/07/2000, Page 1HYPERGEO 1st technical verification

ARISTOTLE UNIVERSITY OF THESSALONIKI

Word Category Map Creation

A. Georgakis, C. Kotropoulos, I. Pitas

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Due to the size of the feature vectors two techniques were applied in order to reduce the dimensionality of the input space, to increase the overall performance and the speed:

1.1.Random projectionRandom projection:a small fraction of each vector’s co-ordinates is kept for further processing.

Dimensionality reductionDimensionality reduction

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•Fast winner searchFast winner search:from the remaining co-ordinates those with the highest variance were used to determine the “winning” node.

Dimension of the original space: 512Dimension of the sub-space : 256-512

The fast winner algorithm gave as the same winner as in the full search for sub-space dimension detween 350-512.

With the that techique the above timings were achived in finding the “global” and the “tentative” winner.

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-5

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Dime nsion diffe re nce

(Sec

) Fast searchFull searchDifferences

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xi

mi

The ANN we used consited of nearly 650 neurons arranged on a hexagonal lattice. That topology was selected for visualization reasons.

Nearly 6500 feature vectors were clustered in the training phase with the above network.

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MSE

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1 7 13 19 25 31 37 43 49 55 61 67 73 79 85 91 97

Iterations

MSE

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(23,14) nodebackpackborncalahorracitihighlandhuelvamarrimountainnicepseudostudentvictor

(24,15) nodeanayaandovbasqubeautibuilddoricextremadurafugoddessibizamagicmonasteriopulpitstonevisit

(25,15) nodearrebatacapabedroomdancmobilorleanpeplostreettherapeuttornotour

(22,4) nodeartworkimpoverishmuseopersonalisrainerspindleruvtourismverandavouli

(1,13) nodeclarksburgdiversglasgowhumpmonasteripartportugromanromntel

(11,15) nodeabdularcobelmacocremefrescogotgothiclitermasstouristmedievmournpalacriunionruasplendid

(13,14) nodeamericancentralmontrealperchprocessproducraymondromantsciencservtriumphalunusuupgradvenic

(9,13) nodeburjasotcatacombcentrcidcomfortculminhistormissnovembpelagiopiedrapridesilesiastit

Some of the characteristic nodes on the network

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Future objectives

Work done so far