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Fourier-Information Duality in the Identity Management Problem
Published on 2011-10-032792 Views
We compare two recently proposed approaches for representing probability distributions over the space of permutations in the context of multi-target tracking. We show that these two representations,
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Presentation
Fourier-Information Duality in the Identity Management Problem00:00
Problem in Identity Management [Shin et. al. 2003]00:00
Problem in Identity Management01:00
Reasoning over Permutation Group01:41
Contributions02:32
Fourier Approach03:14
Fourier Approach - High Order Generalizations04:18
Information Approach05:28
Information Approach - High Order Generalizations06:16
Two Forms of Representation06:16
Markov Model for Identity Management06:51
Mixing Model (1)07:46
Mixing Model (2)08:30
Mixing Model (3)09:16
Mixing Model - Fourier and Information Form10:20
Observation Model10:40
Observation Model - Fourier and Information Form11:18
Normalization and Maximization11:54
Comparison of the Two Forms12:43
Both Forms are Low-Dimensional Projections13:10
Pythagorean Theorem14:04
Hybrid Approach (1)14:33
Hybrid Approach (2)15:57
Real Camera Data from Simulation18:48
Running Time19:21
Accuracy20:29
Errors in Distribution21:07
More Experiments21:57
Adaptive. vs Nonadaptive22:27
Conclusions22:44