38 3. BAG OF <strong>FACIAL</strong> <strong>SOFT</strong> <strong>BIOMETRICS</strong> FOR HUMAN IDENTIFICATIONIn other words the bound in Lemma 5 implies that, a reduction <strong>of</strong> the relative-throughput fromits maximal value <strong>of</strong> n/ρ ≈ 1 to a sufficiently smaller n/ρ ≈ 1 2, for high enough ρ, results in asubstantial and exponential reduction in the probability <strong>of</strong> interference, from P(h = 1) ≈ ρ −ρɛ toP(h = 1 2 ) ≈ ρ−ρ(5 4 +ɛ 2 ) .We have up to now focused on the interference limited scenario, where errors occur only due tomore than one subject belonging to one category. In the next section 3.5.4 we consider estimationerror and a more pragmatic way to improve the overall reliability <strong>of</strong> a SBS.3.5.4 Estimation reliabilityIn the aforementioned operational setting <strong>of</strong> interest, the reliability <strong>of</strong> an SBS captures theprobability <strong>of</strong> false identification <strong>of</strong> a randomly chosen person out <strong>of</strong> a random set <strong>of</strong> n subjects.In such a setting, the reliability <strong>of</strong> an SBS is generally related to:– the number <strong>of</strong> categories that the system can identify.– the degree with which these features/categories represent the chosen set (<strong>of</strong> subjects) overwhich identification will take place– n, where a higher n corresponds to identifying a person among an increasingly large set <strong>of</strong>possibly similar-looking people– robustness with which these categories can be detectedWe here proceed to study the general SBS error probability, containing inevitably all abovementioned factors including the algorithmic categorization error–probabilities. With other wordswe examine, the re–identification error probability, regardless <strong>of</strong> the underlying source, which canbe both due to misclassifcation or due to interference.Given the knowledge <strong>of</strong> the population statistics and moreover the exact algorithmic reliabilities(true detection rates and additionally the confusion probabilities), we can use a maximum–likelihood (ML) optimizing rule to compute the maximal posterior probability for each category.We note here that the ML optimizing rule for the most probable category in which a chosen subjectbelongs, is given by:ˆφ = argmax φ∈Φ P(φ)·P(y/φ), (3.27)wherey is the observation vector,P(φ) is the pdf <strong>of</strong> the set <strong>of</strong> categories over the given population(note ∑ ρß=1 P(φ i) = 1), and P(y/φ) the probability that y is observed, given that the subjectbelongs in category φ.3.5.4.1 Improving SBS reliabilityIn the most common case <strong>of</strong> a training set, which provides insufficient information on all confusionfactors as <strong>of</strong> all P(y/φ), we can find heuristic rules to combat the overall error probabilityP err . Given the large amount <strong>of</strong> empty categories, see the distribution <strong>of</strong> over-all-categories inthe FERET population in Figure 3.1, and furthermore the above presented correlations betweentraits, certain misclassifications can be identified and reconciled. An example for a heuristic errorconciliation attempt can be the following.Example 6 We take into account the given large FERET population and the SBS presented insection 3.3.1. We simulate again the same identification scenario, where here we simulate an estimationerror <strong>of</strong> 10% for the color s<strong>of</strong>t biometric traits (hair, skin and eye color). When fusing thetraits on decision level (hard fusion) those errors naturally add up. That is why a s<strong>of</strong>t decision,taking into account the confidence levels <strong>of</strong> the extracted features and also the reliability <strong>of</strong> the
39Table 3.4: Example for a heuristic rule. SBS endowed with ρ = 4 categories and a given knownpopulation (distribution in the 4 categories). If our SBS estimates category φ 2 for a subject tobelong into, due to the 0 probability <strong>of</strong> occurrence, the system decides for the next probablecategory, namely φ 1 .Category µ 1 µ 2 Probability for occurrence <strong>of</strong> φ i given nφ 1 0 0 0.5φ 2 0 1 0φ 3 1 0 0.3φ 4 1 1 0.2underlying algorithm is used, since it will discriminate some error cases. In the classificationstep we can easily identify subjects classified into "empty" categories. Since those categories are<strong>of</strong> probability 0 to occur, due to the known population, an intelligent classification system recognizesthese cases and reclassifies those subjects in "similar" categories with higher probabilities<strong>of</strong> occurrence(=non–empty categories). A "similar" category hereby is a category with highestprobability for misclassification, given the wrongly detected category. We here assume that anerror caused by misclassification <strong>of</strong> one trait is more probable than the misclassification <strong>of</strong> twoor more traits. For visualization see Table 3.4: if a subject is classified into the category φ 2 , thesystem recognizes thatφ 2 is an empty category and searches for the next probable category, whichin this case would beφ 1 . This simple heuristic rule leads already to a significant reconciliation <strong>of</strong>the added up estimation error <strong>of</strong> the SBS, see Figure 3.7.0.80.7Interference limited errrorCompensated ErrorError due to Interference and estimation reliability0.60.5Perr0.40.30.20.12 4 6 8 10 12 14 16Subjects NFigure 3.7: Errors in a SBS system: interference limited error, estimation reliability error, compensatederror.In the following we outline an additional error, which can be associated to SBSs when used ina scenario, where the traits are re–identified based on a human description.3.5.4.2 Human machine interactionThe immense benefit <strong>of</strong> having human understandable and compliant s<strong>of</strong>t biometric traits overclassical biometrics, enables a computer aided biometric search to have as an input a human description<strong>of</strong> the target subject. The importance <strong>of</strong> related applications becomes evident in cases,such as a loss <strong>of</strong> a child in a mall, where the mother can just provide a description <strong>of</strong> the child andcomputer based search can be performed on available security video material. Along with the benefit<strong>of</strong> human compliance come though additional quantification and human-machine interactionerrors. Such errors can have different causes.
- Page 1: FACIAL SOFT BIOMETRICSMETHODS, APPL
- Page 5: AcknowledgementsThis thesis would n
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89and office lights, daylight, flas
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917.5 SummaryThis chapter presented
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93Chapter 8User acceptance study re
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95Table 8.1: User experience on acc
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97scared of their PIN being spying.
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99Table 8.2: Comparison of existing
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101ConclusionsThis dissertation exp
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103Future WorkIt is becoming appare
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105Appendix AAppendix for Section 3
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107- We are now left withN −F = 2
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109Appendix BAppendix to Section 4B
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111Blue Green Brown BlackBlue 0.75
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113Appendix CAppendix for Section 6
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115Appendix DPublicationsThe featur
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117Bibliography[AAR04] S. Agarwal,
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119[FCB08] L. Franssen, J. E. Coppe
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121[Ley96] M. Leyton. The architect
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123[RN11] D. Reid and M. Nixon. Usi
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125[ZG09] X. Zhang and Y. Gao. Face
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2Rapporteurs:Prof. Dr. Abdenour HAD
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Biométrie faciale douce 2Les terme
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Biométrie faciale douce 4une perso
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Couleur depeauCouleur descheveuxCou
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Biométrie faciale douce 8Nous nous
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Biométrie faciale douce 103. Proba
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Biométrie faciale douce 12l’entr
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Biométrie faciale douce 14Figure 6
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Biométrie faciale douce 16pages 77
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Reviewers:Prof. Dr. Abdenour HADID,
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3hair, skin and clothes. The propos
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person in the red shirt”. Further
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7- Not requiring the individual’s
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9Probability of Collision10.90.80.7
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11the color FERET dataset [Fer11] w
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13Table 2: Table of Facial soft bio
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15Chapter 1PublicationsThe featured
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17Bibliography[ACPR10] D. Adjeroh,
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19[ZESH04] R. Zewail, A. Elsafi, M.