2015
DOI: 10.1109/tnnls.2014.2341634
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Nonlinear Topological Component Analysis: Application to Age-Invariant Face Recognition

Abstract: We introduce a novel formalism that performs dimensionality reduction and captures topological features (such as the shape of the observed data) to conduct pattern classification. This mission is achieved by: 1) reducing the dimension of the observed variables through a kernelized radial basis function technique and expressing the latent variables probability distribution in terms of the observed variables; 2) disclosing the data manifold as a 3-D polyhedron via the α -shape constructor and extracting topologi… Show more

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Cited by 33 publications
(8 citation statements)
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References 26 publications
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“…The results are tested on FGNET with 980 images of all 82 subjects, on MORPH (album II) with 1005 (Frontal and Non-frontal) and 2084 (Only Frontal) images. [17] 48.96 Facial Asymmetry [12] 69.40 Graph based view [35] 64.47 NTCA [17] 83.80 MDL [36] 65.2 HFA [38] 91.14 PCA & WLBP [37] 67.30 MDL [36] 91.8 HFA [38] 69.0 CNN [24] 92.2 Facial Asymmetry [12] 69.51 MEFD [39] 92.26 MEFD [37] 76. From the experimentations, it is observed that, a. CNN is better in Rank-1 recognition than available methods with no complicated preprocessing steps like histogram normalization and head pose correction.…”
Section: Overall Comparative Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…The results are tested on FGNET with 980 images of all 82 subjects, on MORPH (album II) with 1005 (Frontal and Non-frontal) and 2084 (Only Frontal) images. [17] 48.96 Facial Asymmetry [12] 69.40 Graph based view [35] 64.47 NTCA [17] 83.80 MDL [36] 65.2 HFA [38] 91.14 PCA & WLBP [37] 67.30 MDL [36] 91.8 HFA [38] 69.0 CNN [24] 92.2 Facial Asymmetry [12] 69.51 MEFD [39] 92.26 MEFD [37] 76. From the experimentations, it is observed that, a. CNN is better in Rank-1 recognition than available methods with no complicated preprocessing steps like histogram normalization and head pose correction.…”
Section: Overall Comparative Discussionmentioning
confidence: 99%
“…They adopted phase congruency feature for shape and LBP variance for texture feature. Bouchaffra [17] introduced a novel framework to reduce dimensionality and extracting topological features such as shape for age invariant face recognition. It is a combination of Kernelized Radial basis function (KRBF) for dimensionality reduction, construction of α-shape for feature extraction and mixture multinomial distributions for object classification.…”
Section: Discriminativemmentioning
confidence: 99%
“…Head-pose estimation is challenging because it must cope with changing illumination conditions, variability in face orientation and appearance, partial occlusions of facial landmarks, as well as bounding-box to-face alignment errors. This regression method [21] learns to map high-dimensional feature vectors (extracted from bounding boxes of faces) onto the joint space of head-pose angles and bounding-box shifts, such that they are robustly predicted in the presence of unobservable phenomena [22][23][24]. The description of the mapping method that combines the merits of unsupervised multiple learning techniques and combinations of regressions.…”
Section: Literature Surveymentioning
confidence: 99%
“…Most recently, Boucha®ra et al 24 introduced a novel formalism that performs dimensionality reduction and captures topological features (such as the shape of the observed data) to conduct pattern classi¯cation. This mission is achieved by: (1) Reducing the dimension of the observed variables through a kernelized radial basis function technique and expressing the latent variables probability distribution in terms of the observed variables; (2) disclosing the data manifold as a 3D polyhedron via the -shape constructor and extracting topological features and (3) classifying a data set using a mixture of multinomial distributions.…”
Section: Introductionmentioning
confidence: 99%