iccv iccv2013 iccv2013-178 knowledge-graph by maker-knowledge-mining

178 iccv-2013-From Semi-supervised to Transfer Counting of Crowds


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Author: Chen Change Loy, Shaogang Gong, Tao Xiang

Abstract: Regression-based techniques have shown promising results for people counting in crowded scenes. However, most existing techniques require expensive and laborious data annotation for model training. In this study, we propose to address this problem from three perspectives: (1) Instead of exhaustively annotating every single frame, the most informative frames are selected for annotation automatically and actively. (2) Rather than learning from only labelled data, the abundant unlabelled data are exploited. (3) Labelled data from other scenes are employed to further alleviate the burden for data annotation. All three ideas are implemented in a unified active and semi-supervised regression framework with ability to perform transfer learning, by exploiting the underlying geometric structure of crowd patterns via manifold analysis. Extensive experiments validate the effectiveness of our approach.

Reference: text


Summary: the most important sentenses genereted by tfidf model

sentIndex sentText sentNum sentScore

1 uk Abstract Regression-based techniques have shown promising results for people counting in crowded scenes. [sent-8, score-0.364]

2 (2) Rather than learning from only labelled data, the abundant unlabelled data are exploited. [sent-11, score-0.615]

3 All three ideas are implemented in a unified active and semi-supervised regression framework with ability to perform transfer learning, by exploiting the underlying geometric structure of crowd patterns via manifold analysis. [sent-13, score-1.031]

4 Introduction Video-imagery based crowd counting [21] is important for profiling the population movement over time across spaces for establishing global situational awareness. [sent-16, score-0.794]

5 In this study, we aim to learn a regression model for crowd counting by annotating only a handful of frames * Most of the work was done when the first author mantics Ltd, London, UK. [sent-21, score-1.024]

6 The underlying assumption is that if the selected samples are informative and representative, this should have a minimal effect on the learned regression model as compared to learn- ing from all exhaustively labelled frames. [sent-25, score-0.551]

7 (2) For videobased crowd counting, potentially unlimited amount of data can be readily collected. [sent-26, score-0.503]

8 Rather than learning from only labelled data, the abundant unlabelled data are to be exploited. [sent-27, score-0.615]

9 (3) Instead of learning a regression model from scratch in every new scene, the labelled data from other scenes should also be exploited to compensate for the lack of labelled data in the new scene. [sent-29, score-0.822]

10 Although different scenes can be visually very different, the crowd patterns share some common grounds (e. [sent-31, score-0.538]

11 larger crowd leads to large foreground areas) which correspond to transferrable knowledge. [sent-33, score-0.503]

12 In order to realise these three ideas for crowd counting with only a handful of labelled frames in one scene and generalising to other scenes, we develop a unified framework for active and semi-supervised learning of a regression model with transfer learning capability. [sent-34, score-1.567]

13 The framework is formulated based on exploiting the underlying manifold structure of unlabelled crowd data to facilitate counting when the labelled samples are sparse. [sent-35, score-1.54]

14 We observe that crowd pattern data often form a well structured manifold due to the inherent imaging process for generat22225566 Figure1. [sent-37, score-0.657]

15 toaglb feature vector of crowd pattern of a video frame. [sent-72, score-0.476]

16 Every point is encoded by colour so that points with higher crowd density are red and points with fewer people are blue. [sent-73, score-0.575]

17 ing crowd patterns from shared physical spaces subject to social behavioural constraints [15]. [sent-76, score-0.515]

18 Figure 1 shows different examples of manifold embedding of crowd patterns extracted from three different public scenes. [sent-77, score-0.669]

19 It is evident that typically the crowd density (e. [sent-78, score-0.525]

20 This formulation builds on the Laplacian regularised least squares concept [25], but is reformulated carefully to employ Hessian energy [18, 24] for manifold regularisation due to the latter’s superior extrapolation potential for semisupervised learning of a regression function. [sent-82, score-0.619]

21 Modelling the underlying crowd pattern structure also provides a solution to active regression learning. [sent-83, score-0.715]

22 In addition to exploiting intrinsic structures of unlabelled data collected from the same scene for active and semi-supervised regression modelling, we further develop a transfer learning capability to utilise available labelled data from other scenes. [sent-86, score-1.018]

23 In this study, we investigate in particular how manifold regularisation would help in learning a crowd counting model with labelled data collected from a different scene. [sent-89, score-1.522]

24 Related Work Crowd counting: Various approaches to crowd counting have been proposed [21], including counting-bydetection [20, 39, 12], counting-by-clustering [6, 29], and counting-by-regression [9, 10, 19, 7]. [sent-93, score-0.769]

25 The regression-based techniques are fundamentally supervised methods, which often assume the availability of large amount of labelled data for training. [sent-95, score-0.313]

26 [3 1] relax this assumption by presenting a semi-supervised learning framework, which utilises sequential information in the unlabelled frames to penalise sudden prediction change. [sent-97, score-0.313]

27 high enough video frame rate is required to capture the smoothness in crowd pattern change over time. [sent-100, score-0.525]

28 Our approach relaxes this assumption since our method explores smoothness in intrinsic crowd pattern distribution structure, not only in the video stream temporal space, leading to a more generic/scalable and robust approach to crowd counting estimation (see comparative experiments in Sec. [sent-102, score-1.347]

29 The intuition of incorporating manifold regularisation in semi-supervised learning has also been studied [1, 4, 38, 18], whilst manifold-based transfer learning has been proposed in [34] to transfer knowledge across domains via an aligned man- ifold. [sent-107, score-0.767]

30 However, no crowd counting studies have attempted manifold regularisation for achieving semi-supervised and transfer counting. [sent-108, score-1.299]

31 Although existing work on manifold learning are relevant for our problem, applying them directly for active and semi-supervised regression modelling of crowd count is non-trivial and has not been attempted before. [sent-109, score-0.953]

32 Our contributions are three-fold: (1) To eliminate exhaustive data labelling for learning a regression based crowd counting model, this is the first study to systematically develop a unified active and semi-supervised crowd counting regression model using only a handful of annotations. [sent-118, score-2.094]

33 (2) A concept of transfer counting with practical potential is proposed and a transfer learning model based on crowd data manifold regularisation is formulated to utilise labelled crowd data from other crowd scenes. [sent-119, score-2.766]

34 (3) Extensive comparative evaluations are conducted using two publicly available crowd datasets and a new dataset extracted from the i-LIDS dataset [16] to demonstrate the effectiveness of the proposed approach. [sent-120, score-0.476]

35 Semi-supervised Crowd Counting Counting by regression: Taking a regression approach to crowd counting, one typically extracts a set of perspective normalised low-level features x from each frame, e. [sent-124, score-0.716]

36 foreground segments or an edge map, and subsequently learns a × model to predict the crowd density given the low-level features. [sent-126, score-0.506]

37 Ridge Regression (RR) or its kernelised version, Kernel Ridge Regression (KRR) have shown promising performance for crowd counting regression [10]; it is thus chosen as the regression baseline model in our framework. [sent-127, score-1.049]

38 Formally, given a set of l labelled samples {(xi, of samples xi nfro am se Xt o ⊆f l R ladb wellitedh corresponding lab)e}ls yi in Y ⊆ R, KRfRr oemsti mXat ⊆es Rthe unknown regression function as yi)}il=1, f∗= afrg∈HmKin1l? [sent-128, score-0.555]

39 Semi-supervised regression: A semi-supervised regression method is specifically formulated here to produce accurate person counting given only sparse labelled data. [sent-137, score-0.719]

40 This is made possible by exploiting the underlying geometric structure of abundant unlabelled data and temporal continuity of crowd pattern. [sent-138, score-0.847]

41 A user shall only label a few data points and the }jj==ll++u1, yi)}il=1, rest of the unlabelled training data will be annotated automatically by inference using the model. [sent-140, score-0.34]

42 Our goal is to perform semi-supervised learning to assimilate the vast majority of unlabelled data points U by the lsaimbeil sa toef t thhee v samsta mll minority uLn. [sent-142, score-0.357]

43 aTbheisl eisd computed by a joint regularisation through learning Tthhies c isrow codm pattern yint ari jnoisinct distribution (geometric) structure (p(x)) and imposing temporal smoothness of activity patterns in the scene. [sent-143, score-0.417]

44 In other words, we would like to ensure that the solution is optimal with respect to three considerations: (1) regression in a reduced kernel space (RKHS), (2) the marginal distribution of unlabelled data points p(x), and (3) temporal continuity in the physical space. [sent-144, score-0.48]

45 I2 is a regularisation term to reflect the intrinsic wstrhuecrteu ? [sent-155, score-0.283]

46 Distribution structure regularisation: The underlying distribution structure (geometrical) of crowd patterns can be modelled using a crowd manifold. [sent-164, score-1.02]

47 Specifically, Hessian regularisation prefer functions that vary linearly with respect to the geodesics on the data manifold [18]. [sent-175, score-0.434]

48 × The total estimated Hessian energy is a sum over all (l + u) labelled and unlabelled points ? [sent-189, score-0.553]

49 (5) Temporal regularisation: The temporal constraint can be incorporated easily into our framework by assuming that if two observations xi and xj occur close in time, then the crowd density should not differ significantly. [sent-204, score-0.613]

50 By the representer theorem, given an unseen low-level feature vector x∗, the crowd density is estimated as αl+u]T f∗(x∗) = ? [sent-245, score-0.506]

51 Our intuition is that given a fixed number of labelling budget, the most representative frames (in the sense of covering different crowd densities/counts) are the most useful ones to label. [sent-250, score-0.581]

52 To solve this problem, we – propose to discover these representative points (“supporting points”) through clustering in the crowd marginal distribution structure (manifold). [sent-252, score-0.499]

53 Specifically, given a crowd manifold learned from a set of unlabelled data, we perform spectral clustering [26] on the data projected onto the manifold. [sent-253, score-0.901]

54 Each node in the graph corresponds to frame-level global crowd patterns, connected by edges whose weights are defined by the affinity between the patterns. [sent-255, score-0.476]

55 Transfer Counting For transfer learning in general, one considers a given sparse set of labelled target training instances Ltarget = s{p(axrtsaerg este,t ty otfar lgaetb)e}ll. [sent-281, score-0.5]

56 (a)-(b) Performing feature mapping using the corresponding points to align the feature range of ucsd and hallway datasets. [sent-284, score-0.454]

57 (c) The embedding of the cross-domain manifold using the source data ucsd (red dots) and target data hallway (blue dots). [sent-285, score-0.711]

58 In the context of transfer crowd counting, we consider that the most straightforward approach to transferring labelled data from one scene to another is featurerepresentation transfer [28]. [sent-289, score-1.096]

59 Therefore, the step for learning a shared manifold is rather critical in that it allows one to constrain the smoothness of our solution with respect to the intrinsic geometry of the cross-domain data space. [sent-306, score-0.27]

60 Experiments Datasets: Apart from the established UCSD pedestrian dataset (ucsd) [7] and a more recent shopping mall dataset (mall) [10, 9, 21], we introduce a new dataset in this study for comparative evaluation, referred to as the i-LIDs hallway dataset (hallway). [sent-311, score-0.416]

61 The hallway dataset is composed of 2200 frames extracted at 3 frames per second (fps) from the sequence ABTEN201c ofthe i-LIDS dataset [16]. [sent-313, score-0.293]

62 In particular, the perspective distortion, especially in the hallway dataset, is heavier than that in the ucsd dataset, resulting in more severe inter-object occlusion, and larger change in object size and appearance at different depths of the scene. [sent-318, score-0.479]

63 In addition, the mall dataset is challenging in that it covers crowd densities from sparse to crowded, as well as diverse activity patterns (static and moving crowds) under large range of illumination conditions at different time of the day. [sent-319, score-0.701]

64 For both the ucsd and the hallway datasets, scene lighting is stable so we employ a static background subtraction method to extract the foreground segments. [sent-323, score-0.45]

65 Performance comparison between the KRR baseline regression and the proposed semi-supervised regression (SSR) method: with manifold regularisation, temporal regularisation, a combination of two, and finally the automatic labelled data selection. [sent-352, score-0.793]

66 All the above free parameters for each method were optimally estimated by cross validation on the labelled samples. [sent-357, score-0.286]

67 Semi-Supervised Crowd Counting Semi-supervised learning: The goal of this experiment is to evaluate the effectiveness of exploiting unlabelled data distribution structure and temporal regularisations in the semi-supervised regression (SSR) learning framework. [sent-360, score-0.49]

68 Note that we follow [7] and [10] in partitioning the ucsd and mall datasets. [sent-362, score-0.376]

69 A total of 50 samples in the training partition are randomly selected as labelled samples, while the rest of the samples in the training partition (750 in both ucsd and mall, and 450 in hallway) remain unlabelled. [sent-363, score-0.632]

70 We evaluate the transductive learning (tested with unlabelled data in the training partition) and inductive inference (tested with unlabelled data in the test partition) performances of the proposed SSR method with different regularisation terms. [sent-364, score-0.867]

71 (ESM)egarvA150 #1La0bel20d4 80 40 #20U1n0la5b0el25d (a) ucsd (b) mall (c) hallway Figure 3. [sent-368, score-0.597]

72 It is evident from Table 2 that semi-supervised learning improves remarkably the crowd counting performance with the help of unlabelled data, i. [sent-370, score-1.065]

73 an average of 18% reduction in MSE over KRR when we apply labelled data selection. [sent-372, score-0.332]

74 the ucsd with 10 fps and the hallway with 3fps, slightly better results were obtained using the temporal smoothness constraint in comparison to manifold regularisation. [sent-375, score-0.678]

75 We further examine the effect of labelled and unlabelled data, by measuring the MSE performances on labelled set {5, 10, 20, 40, 80} given unlabelled set {o2n5, l 50, 100, 200, {450,01}0. [sent-378, score-1.06]

76 Figure 38 0sh}ow gsiv clearly athbeatl adding more 0u,nl1a0b0e,l2le0d0 ,d4a0ta0 improved 3th seh counting performance. [sent-379, score-0.293]

77 For instance, given 80 labelled data, the MSE in the ucsd, mall, and hallway datasets were reduced by nearly 7%, 22%, and 19% respectively, when we increased the unlabelled data size from 25 to 400. [sent-380, score-0.778]

78 Active learning for labelled points selection: In this experiment we compare our manifold-based “supporting point” selection method (m-landmark) (see Sec. [sent-381, score-0.371]

79 For instance, our method constantly outperforms RAND by around 7%-9% reduction in MSE on the ucsd and hallway datasets. [sent-385, score-0.45]

80 The result also shows that compared to [3 1], our method gains better performance on the ucsd and mall datasets, and more stable performance overall (see the standard deviation plots in Fig. [sent-387, score-0.376]

81 Active semi-supervised learning: Figure 5 shows a comparison of the actual counting performance between KRR (without semi-supervised learning) and our full active semisupervised regression method. [sent-389, score-0.523]

82 Count estimation performance using three different labelled data selection methods. [sent-394, score-0.342]

83 Comparison of counting performance between the KRR and our semi-supervised method SSR on the hallway dataset. [sent-410, score-0.514]

84 our method achieved 20% reduction in mean squared error with just 10% of labelled samples as compared to the KRR. [sent-411, score-0.358]

85 The proposed SSR approach not only consistently outperforms existing methods given sparse labelled samples (50 samples), but also performs comparatively to GPR and CA-RR that learn from full training set. [sent-414, score-0.336]

86 Transfer Crowd Counting In this experiment we evaluate the proposed transfer counting method (Sec. [sent-423, score-0.416]

87 We randomly selected 100 random labelled samples from the source data to be transferred for target model learning. [sent-426, score-0.416]

88 In addition, a total of 50 random labelled data in the target scene are chosen for bootstrapping, 25 of which have corresponding labels with the source labelled set. [sent-427, score-0.69]

89 ples are employed to learn a mapping function for aligning the source labelled set. [sent-438, score-0.339]

90 The ucsd and hallway datasets are selected in this experiment. [sent-439, score-0.431]

91 Table 4 summarises the transfer counting results averaged over 10 trials. [sent-440, score-0.416]

92 using the 50 labelled data in the target scene for model learning. [sent-443, score-0.371]

93 In the bottom half of the table, we show the transfer learning results on both models, of which training are conducted using the target scene data as well as 100 labelled data from the source domain. [sent-444, score-0.606]

94 It is evident that transferring the data without learning a cross-domain manifold (i. [sent-445, score-0.275]

95 However, when those source data are embedded in a shared cross-domain manifold together with the target data, they can effectively help in filling the ‘gap’ not captured in the target labelled data, leading to a more accurate estimation. [sent-450, score-0.578]

96 We demonstrated that the lack of labelled data in a new scene can be helped by knowledge transferred from other scenes in minimising the effort required for bootstrapping crowd counting at the new scene. [sent-454, score-1.124]

97 In the current transfer counting method, we imposed an assumption that the source and target data sharing a similar manifold representation. [sent-456, score-0.669]

98 Cumulative attribute space for age and crowd density estimation. [sent-510, score-0.506]

99 A geometric framework for transfer learning using manifold alignment. [sent-628, score-0.31]

100 Visual knowledge transfer among multiple cameras for people counting with oc- [1 0]la37HKotec. [sent-645, score-0.439]


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