iccv iccv2013 iccv2013-195 knowledge-graph by maker-knowledge-mining

195 iccv-2013-Hidden Factor Analysis for Age Invariant Face Recognition


Source: pdf

Author: Dihong Gong, Zhifeng Li, Dahua Lin, Jianzhuang Liu, Xiaoou Tang

Abstract: Age invariant face recognition has received increasing attention due to its great potential in real world applications. In spite of the great progress in face recognition techniques, reliably recognizingfaces across ages remains a difficult task. The facial appearance of a person changes substantially over time, resulting in significant intra-class variations. Hence, the key to tackle this problem is to separate the variation caused by aging from the person-specific features that are stable. Specifically, we propose a new method, calledHidden FactorAnalysis (HFA). This methodcaptures the intuition above through a probabilistic model with two latent factors: an identity factor that is age-invariant and an age factor affected by the aging process. Then, the observed appearance can be modeled as a combination of the components generated based on these factors. We also develop a learning algorithm that jointly estimates the latent factors and the model parameters using an EM procedure. Extensive experiments on two well-known public domain face aging datasets: MORPH (the largest public face aging database) and FGNET, clearly show that the proposed method achieves notable improvement over state-of-the-art algorithms.

Reference: text


Summary: the most important sentenses genereted by tfidf model

sentIndex sentText sentNum sentScore

1 , China Abstract Age invariant face recognition has received increasing attention due to its great potential in real world applications. [sent-16, score-0.369]

2 In spite of the great progress in face recognition techniques, reliably recognizingfaces across ages remains a difficult task. [sent-17, score-0.395]

3 The facial appearance of a person changes substantially over time, resulting in significant intra-class variations. [sent-18, score-0.135]

4 Hence, the key to tackle this problem is to separate the variation caused by aging from the person-specific features that are stable. [sent-19, score-0.379]

5 This methodcaptures the intuition above through a probabilistic model with two latent factors: an identity factor that is age-invariant and an age factor affected by the aging process. [sent-21, score-1.172]

6 We also develop a learning algorithm that jointly estimates the latent factors and the model parameters using an EM procedure. [sent-23, score-0.136]

7 Extensive experiments on two well-known public domain face aging datasets: MORPH (the largest public face aging database) and FGNET, clearly show that the proposed method achieves notable improvement over state-of-the-art algorithms. [sent-24, score-1.312]

8 Introduction As an emerging research topic, age invariant face recognition has many practical applications. [sent-26, score-0.8]

9 For example, in law enforcement, finding missing children or identifying criminals based on their mug shots on identity requires recognizing photos across ages [3,29]. [sent-27, score-0.224]

10 In spite of the great advancement in face recognition in the past decades, age invariant Figure 1. [sent-28, score-0.844]

11 Example images showing the large intra-class variations due to facial aging for one of the subjects in the FG-NET database [2]. [sent-29, score-0.518]

12 The difficulty of this problem, to a great extent, arises from the fact that the face appearance of a person is subject to remarkable change caused by the aging process over time, as shown in Figure 1. [sent-31, score-0.697]

13 The research on age related face image analysis has only been studied in recent years. [sent-32, score-0.699]

14 Most existing works focus on age estimation [8, 10–12, 17, 18, 24, 28, 37, 40, 4 1] and aging simulation [7, 19, 27, 30, 3 1,35]. [sent-33, score-0.866]

15 However, work that explicitly tackles age invariant face recognition is limited. [sent-34, score-0.8]

16 Existing methods on age invariant face recognition roughly fall into two categories: generative approaches and the discriminative approaches. [sent-35, score-0.828]

17 Generative methods try to synthesis face images that match the target age before recognition [7, 10, 19, 27]. [sent-36, score-0.725]

18 They try to construct a 2-D or 3-D generative model to compensate for the aging process in face matching. [sent-37, score-0.654]

19 These methods, however, typically suffer from 2872 difficulties in several aspects: strong parametric assumptions that lead to unrealistic synthesis results, high complexity in computation, and reliance on accurate age estimation (which is often not reliable). [sent-38, score-0.452]

20 The method in [22] uses gradient orientation pyramid (GOP) as feature and the support vector machine (SVM) as classifier for face recogni- tion. [sent-40, score-0.273]

21 Some variants of RS-LDA have also been used in [14, 26] for age invariant face recognition. [sent-42, score-0.774]

22 However, the lack of an underlying mechanism to capture facial structure across different ages may limit their generalizing performance. [sent-44, score-0.184]

23 In this paper, we consider a new approach to ageinvariant face recognition. [sent-45, score-0.247]

24 This approach is motivated by the belief that the facial image of a person can be expressed as combination of two components: an identity-specific component that is stable over the aging process, and the other component that reflects the aging effect. [sent-46, score-0.965]

25 In particular, we introduce two latent factors: an identity factor and an age factor, which respectively govern the generation of these two components. [sent-47, score-0.715]

26 Intuitively, each person is associated with a distinct identity factor, which is largely invariant over the aging process and thus can be used as a stable feature for face recognition; while the age factor changes as the person grows. [sent-48, score-1.432]

27 For computational simplicity, we assume a linear model, where the identity components and the age components lie on two different subspaces. [sent-49, score-0.629]

28 In this way, the problem of separating identity and age factors naturally reduces to a problem of learning the basis of these subspaces. [sent-50, score-0.637]

29 As both the subspaces and the latent factors are unknown in the training stage, we derive an algorithm that can jointly estimate both from a set of training image, based on an Expectation-Maximization process. [sent-51, score-0.202]

30 In this process, the latent factors and the model parameters are iteratively updated to maximize a unified objective. [sent-52, score-0.136]

31 In the testing, given a pair of face images with unknown ages, we compute the match score between them by inferring and comparing the posterior mean of their identity factors. [sent-53, score-0.364]

32 Section 3 presents the HFA-based age invariant face recognition framework. [sent-56, score-0.8]

33 Hidden Factor Analysis In this section, we propose a new model, called Hidden Factor Analysis (HFA), to address the problem of age invariant face recognition. [sent-60, score-0.774]

34 Problem Modeling Matching facial images across ages is often necessary in real world applications. [sent-64, score-0.184]

35 On the other hand, facial im- × ages of the same person also contain intrinsic features that are relatively stable across ages. [sent-71, score-0.213]

36 Specifically, we use vectors to represent these latent factors, and call them age factor and identity factor throughout the remaining part of the paper. [sent-73, score-0.793]

37 For simplicity and robustness, we consider a linear generative model, which expresses a facial image as a linear combination of three components: (1) age component, (2) identity component, and (3) a noise term which would allow actual observations to deviate from model space. [sent-74, score-0.703]

38 In particular, the age component and identify component are respectively generated from the underlying age factor and identity factor through linear transformation. [sent-75, score-1.249]

39 is a p 1 vector that represents the latent identity fxac itosr a a w pith × p 1ri ovre cdtoisrtr tihbautti roenp roefs eNn t(s0 ,th hIe). [sent-83, score-0.185]

40 is a q 1vector that represents the latent age factor →β →x →y × wyith is prior d1is vtericbtoutrio thna ot rfe Npr (es0,e Int)s. [sent-85, score-0.598]

41 The basic idea of our approach is to decompose facial features into identity components and age components based on this model, which are respectively generated from the identity factors and age factors. [sent-96, score-1.372]

42 Any face feature consists of three components: the identity component age component and noise component →ε representing noise and other variations in addition to age variations. [sent-98, score-1.402]

43 Through the decomposition based on this model, we can simultaneously attain two goals: U −→x depends only on the subject’s identity, with which we can perform age invariant face recognition, while depends only on the subject’s age, with which we can perform age estimation. [sent-100, score-1.226]

44 Instead, we fo- V −→y cus on leveraging this decomposition to improve face recognition. [sent-102, score-0.247]

45 The summation is over all the available samples from different subjects at different age groups. [sent-116, score-0.504]

46 Here, we adopt the coordinate ascent approach, alternately updating model parameters and latent factors with the other fixed. [sent-118, score-0.136]

47 T (10) Σ where = σ2I + UUT + V VT, Ni and Mk are the numbers of training samples for the i-th subject and the k-th age group, respectively (e. [sent-183, score-0.514]

48 if we have 100 training samples fall into the k-th age group, then Mk is 100). [sent-185, score-0.493]

49 (13) 1Proof for Proposition 1 is attached in supplemental materials 2Proof for Proposition 2 is attached in supplemental materials 2874 where A= ? [sent-205, score-0.174]

50 The supervised approach in learning the optimal factor spaces distinguishes our work from [16] [23] [4] that mostly use unsupervised way in factor analysis. [sent-253, score-0.156]

51 Our approach can generalize to other face recognition scenarios. [sent-255, score-0.273]

52 The proposed model in (1) decomposes the original face feature into three components: the common feature component, the variation component, and the noise component. [sent-256, score-0.299]

53 For general applications, such as matching faces in the wild, we can replace the aging variations with other kinds of variations. [sent-258, score-0.444]

54 HFA based Age invariant Face Recognition Framework In this section, we present our age invariant face recognition framework based on the proposed HFA model in Section 2. [sent-260, score-0.875]

55 Local Feature Representation Local facial features have been shown to be more effec- tive than the global facial features in representing face images at various scales and orientations. [sent-265, score-0.459]

56 For any face image, we first divide it into a set of overlapping patches, and then apply the HOG descriptor on each patch to extract the HOG features. [sent-268, score-0.247]

57 Illustration of the HFA based age-invariant face recognition system. [sent-280, score-0.273]

58 At the training stage, the training faces are first grouped according to their identities and ages (corresponding to index iand k in Algorithm 1, respectively), followed by feature extraction (section 3. [sent-281, score-0.187]

59 With each training face represented by HOG feature, we reduce the dimension of these features with slicing (three slices are shown in the figure), PCA and LDA (section 3. [sent-283, score-0.397]

60 The final matching score is given by the cosine distance of the concatenated identity features (section 3. [sent-288, score-0.143]

61 Face Matching After local feature representation and dimension reduction, for each face image we have several compressed slices of smaller feature vectors. [sent-301, score-0.398]

62 In the matching process, for each pair of probe sample and gallery sample, we first compute the predictive distribution of their identity variables, as follows: P ? [sent-303, score-0.319]

63 The matching process of our HFA model does not need any age information of the test images. [sent-338, score-0.478]

64 Database There are two well-known public domain databases for age invariant face recognition: MORPH [13] and FGNET [2]. [sent-343, score-0.804]

65 The MORPH Album 1 only contains 1690 face images from 625 different subjects. [sent-345, score-0.247]

66 The MORPH Album 2 is the largest face aging dataset available in the public domain. [sent-346, score-0.656]

67 This dataset is composed of about 78,000 face images of 20,000 different subjects captured at different ages. [sent-347, score-0.28]

68 Comparing to the MORPH Album 1 dataset, the MORPH Album 2 dataset has two desired attributes: (i) 2876 very large number of subjects, and (ii) large number of face images captured at different ages. [sent-348, score-0.247]

69 The FG-NET dataset consist of 82 different individuals, with each one having multiple images (13 on average) taken at different age levels. [sent-350, score-0.452]

70 Figure 3 shows the age range distribution for these two datasets. [sent-351, score-0.452]

71 To train our HFA model, we first partition the training data set into several age groups. [sent-355, score-0.498]

72 To balance the number of training samples in each age group, we partition the age into 8 groups such that each group has approximately the same number of samples, as shown in Table 2. [sent-356, score-0.969]

73 Parameter Settings The HFA model has some free parameters: d (the dimension of the feature vector fed into the model), p (the dimension the identity factor), and q (the dimension ofthe age factor). [sent-362, score-0.724]

74 2), as well as the size of the normalized face images (see section 3. [sent-365, score-0.247]

75 Experiment on the MORPH Ablum 2 dataset The MORPH Album 2 dataset is the largest publicly available face aging dataset. [sent-372, score-0.626]

76 We partition the MORPH album 2 dataset into a training set and an independent test set. [sent-375, score-0.256]

77 The training data consists of 20,000 face images from 10,000 subjects, with each subject having two images with the largest age gap. [sent-376, score-0.742]

78 The test data is composed of a gallery set and a probe set from the remaining 10,000 subjects. [sent-377, score-0.156]

79 The gallery set is composed of 10,000 face images corresponding to the youngest age of these 10,000 subjects. [sent-378, score-0.755]

80 The probe set is composed of 10,000 face images corresponding to the oldest age of these 10,000 subjects. [sent-379, score-0.799]

81 We compare our HFA model against several state-of-theart methods for age invariant face recognition on MORPH Album 2. [sent-380, score-0.8]

82 They include (i) FaceVACS, a leading commercial face recognition engine [5], (ii) several newly developed generative methods [7, 27] for face aging, and (iii) several newly developed discriminative methods [14,2 1,26] for direct age invariant face recognition. [sent-381, score-1.322]

83 To our best knowledge, this is the best identification rank-1 result on such a large-scale matching scenario (using 10,000 face images as the gallery set and another 10,000 face images as the probe set from 10,000 different persons) in the MORPH Album 2 dataset. [sent-390, score-0.708]

84 Finally, we show some examples of failed retrievals in Figure 4. [sent-391, score-0.113]

85 While the rank-1 retrievals are not correct in these cases, the probe images appear to be more similar to the incorrect rank-1 matched images than the true images. [sent-392, score-0.203]

86 Some examples of failed retrievals in MORPH Album 2. [sent-399, score-0.113]

87 The first row presents the probe faces, the second row is the incorrect rank-1 matching results using our approach, and the bottom row shows the corresponding ground-truth faces for the probes. [sent-400, score-0.191]

88 The first row presents the probe faces, the second row is the incorrect rank1 matching results using our approach, and the bottom row shows the corresponding ground-truth faces for the probes. [sent-416, score-0.191]

89 ure 4: The rank-1 retrieved images appeared highly similar to the probe images in the incorrect matchings. [sent-417, score-0.126]

90 Conclusion In this paper, we have proposed a hidden factor analysis (HFA) approach to address the challenging problem of age invariant face recognition. [sent-419, score-0.88]

91 The basic idea of the HFA model is to separate the aging variations from the personspecific features for pursuing the robust age-invariant face features. [sent-420, score-0.657]

92 Extensive experiments conducted on two public domain face aging datasets (MORPH Album 2 and FGNET) convincingly demonstrate the superiority of our HFA model over the state-of-the-art algorithms. [sent-421, score-0.656]

93 A review of the literature on the aging adult skull and face: implications for forensic science research and applications. [sent-432, score-0.461]

94 Face aging simulation based on NMF algorithm with sparseness constraints. [sent-469, score-0.414]

95 Human age estimation with regression on discriminative aging manifold. [sent-475, score-0.831]

96 Image-based human age estimation by manifold learning and locally adjusted robust regression. [sent-500, score-0.452]

97 Acquiring linear subspaces for face recognition under variable lighting. [sent-539, score-0.295]

98 Toward automatic [20] [21] [22] [23] [24] [25] [26] [27] [28] [29] simulation of aging effects on face images. [sent-563, score-0.661]

99 Learning long term face aging patterns from partially dense aging databases. [sent-656, score-1.005]

100 Frame synchronization and multi-level subspace analysis for video based face recognition. [sent-679, score-0.292]


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