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This project focuses on developing and comparing four different methods for computing feature vectors using HKS, analyzing their advantages and disadvantages, with a special emphasis on ROC curve analysis.
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INFOMR Project Dafne van Kuppevelt ● VikramDoshi● SeçkinSavaşçı Development Review
Feature Vector Calculation • Compute feature vector using HKS • 4 different Methods
First Method • Compute • Use logarithmically scale over a time interval [-4, 2] • Disadvantage: t’s are not fitted to the object
Second Method • Compute by uniformly sampling 100 points in the logarithmically scale over the time interval [tmintmax]
Second Method • (ROC Cuve)
Second Method • Gives much better results • HKSSumt remains almost unchanged for t > tmax as it is mainly determined by the eigenvector 𝛷2.
Third Method • Use only 300 eigenvectors and eigenvalues • Compute by uniformly sampling 100 points in the logarithmically scale over the time interval [tmintmax] • ,
Third Method • (ROC Curve) • Complexity much lower!
Performance Analysis • ROC curve
Performance Analysis • Precision/Recall graph