iccv iccv2013 iccv2013-81 knowledge-graph by maker-knowledge-mining

81 iccv-2013-Combining the Right Features for Complex Event Recognition


Source: pdf

Author: Kevin Tang, Bangpeng Yao, Li Fei-Fei, Daphne Koller

Abstract: In this paper, we tackle the problem of combining features extracted from video for complex event recognition. Feature combination is an especially relevant task in video data, as there are many features we can extract, ranging from image features computed from individual frames to video features that take temporal information into account. To combine features effectively, we propose a method that is able to be selective of different subsets of features, as some features or feature combinations may be uninformative for certain classes. We introduce a hierarchical method for combining features based on the AND/OR graph structure, where nodes in the graph represent combinations of different sets of features. Our method automatically learns the structure of the AND/OR graph using score-based structure learning, and we introduce an inference procedure that is able to efficiently compute structure scores. We present promising results and analysis on the difficult and large-scale 2011 TRECVID Multimedia Event Detection dataset [17].

Reference: text


Summary: the most important sentenses genereted by tfidf model

sentIndex sentText sentNum sentScore

1 Feature combination is an especially relevant task in video data, as there are many features we can extract, ranging from image features computed from individual frames to video features that take temporal information into account. [sent-2, score-0.354]

2 To combine features effectively, we propose a method that is able to be selective of different subsets of features, as some features or feature combinations may be uninformative for certain classes. [sent-3, score-0.428]

3 We introduce a hierarchical method for combining features based on the AND/OR graph structure, where nodes in the graph represent combinations of different sets of features. [sent-4, score-1.013]

4 Our method automatically learns the structure of the AND/OR graph using score-based structure learning, and we introduce an inference procedure that is able to efficiently compute structure scores. [sent-5, score-0.579]

5 Introduction As recent research in video understanding has shifted to classifying complex events like “Attempting a board trick” [17], it is now very difficult for a single feature to capture the information required to discriminate between different complex event categories. [sent-8, score-0.473]

6 Given these features, the problem we seek to address is finding the optimal way to combine them together for effective complex event recognition. [sent-12, score-0.296]

7 Together, these intuitions can help alleviate the limitations in a conventional feature combination approach where all of the features are combined or considered simultaneously. [sent-27, score-0.373]

8 As shown in Figure 1, standard methods like kernel averaging [5] do not perform feature selection, and methods like Multiple Kernel Learning (MKL) [6] consider all features together in a single combination, making it difficult to discover complementary sets of features. [sent-28, score-0.512]

9 To capture these intuitions, we introduce a novel method for feature combination that represents feature combinations using an AND/OR graph structure, with nodes in the graph representing combinations of different sets of features. [sent-29, score-1.09]

10 The presence of OR nodes allow us to to be selective of the features we want to combine for each class, and the hierarchical structure of the AND/OR graph structure allows us to consider sets of features independently to better discover complementary information. [sent-30, score-1.05]

11 Our method is able to constrain and search the large space of possible AND/OR graph structures for the optimal structure, and we introduce an approximate inference procedure that is able to efficiently compute structure scores. [sent-31, score-0.544]

12 Related Work Many recent works in video understanding have focused on complex event recognition in large-scale datasets [17], which is the focus of this paper. [sent-34, score-0.302]

13 The standard approach to combining features is Multiple Kernel Learning (MKL), which has been used for various tasks in computer vision including object categorization [20], object detection [21], multi-class object classification [5], and complex event recognition [ 14]. [sent-38, score-0.394]

14 In [1], the author considers hierarchical multiple kernel learning using kernels that can be decomposed into a large sum of separate basis kernels. [sent-41, score-0.448]

15 The work of [8] considers semantic kernel forests constructed with human knowledge, and introduces a novel K1K2K3K4K5K6K7K8ALONeRaDKf9n no d ed e Positve ideosExCtormacptufeatuker snferlom atvridceosNegative ideos Figure 2. [sent-43, score-0.291]

16 The LEAF nodes encode the input kernel matrices, which are then combined using AND/OR nodes up to the root node. [sent-45, score-0.815]

17 Our method utilizes the AND/OR graph structure as a representation for combining features. [sent-49, score-0.382]

18 The AND/OR graph structure has been used for many different applications in computer vision [2, 3, 7, 24, 25]. [sent-50, score-0.326]

19 In [2], the authors use an AND/OR graph to infer composite cloth templates. [sent-51, score-0.304]

20 In [7], the AND/OR graph is used as a storyline model that encodes storyline variation in videos. [sent-53, score-0.364]

21 ) that defines a measure of similarity between a pair of instances using feature type i, we can compute the kernel function for all pairs of training instances to obtain a training kernel matrix for each feature: K = {K1, K2 , . [sent-58, score-0.577]

22 Our goal is to devise a method to find a combination of these kernel matrices that can perform effective recognition for a particular event class. [sent-64, score-0.6]

23 Because we associate features with kernel matrices, the problem of kernel com2697 bination translates naturally to feature combination. [sent-65, score-0.587]

24 We introduce a method that is selective of these kernel matrices, and simultaneously considers different sets of them independently. [sent-66, score-0.395]

25 Our method uses an AND/OR graph structure to represent the possible combinations, which we describe in detail below. [sent-67, score-0.355]

26 AND/OR model The AND/OR graph structure is represented by a graph G = (V, E), where V and E denote the set of vertices and edges. [sent-70, score-0.562]

27 The edge set E consists of vertical edges that define the topological structure of the graph, connecting nodes between adjacent layers. [sent-72, score-0.3]

28 We define TVi to be the child nodes of node Vi ∈ V . [sent-74, score-0.532]

29 We define Vroot ∈ V to be the root node of the tree. [sent-77, score-0.346]

30 Each node in the AND/OR graph is a variable that encodes a kernel matrix. [sent-79, score-0.703]

31 The LEAF nodes encode the base kernel matrices {K1, K2, . [sent-80, score-0.525]

32 , Km} from our original featkuerrense alt m mthater licoewses {Kt layer of the graph, aronmd t ohuer r ro ooritg innoadle en- codes the final kernel matrix to be used for recognition at the highest layer of the graph. [sent-83, score-0.339]

33 Because each LEAF node is just equal to a kernel matrix for one of our original features, the number of LEAF nodes is equal to m. [sent-84, score-0.677]

34 In our model, there are three types of potentials that define the energy of a particular assignment of kernel matrices v = {v1, v2 , . [sent-85, score-0.394]

35 i nT hthee f graph, efnotriacling the node to average the kernels of its children. [sent-90, score-0.331]

36 (1) The second potential captures the behavior of an OR node in the graph, forcing it to select a single kernel from its children. [sent-95, score-0.552]

37 rength of the root node Vroot in the graph: ψROOT(Vroot = vroot) = S(vroot) (3) where S(u) is a scoring function that uses the kernel defined at node u to compute the cross-validated average precision on the training data using an SVM. [sent-100, score-0.813]

38 The root node Vroot also appears in ψAND or ψOR, depending on its node type. [sent-101, score-0.576]

39 In the bottom-up processing stage, we construct an initial configuration by assigning kernel matrices to each node based only on their children nodes. [sent-105, score-0.783]

40 Combining the potentials, we can define the energy of a particular assignment v of kernel matrices to nodes as: E(v) = ? [sent-107, score-0.576]

41 VOR − ψROOT(Vroot = vroot) (4) Intuitively, if Vi is an AND node in the graph, then it averages the kernels of its children TVi . [sent-111, score-0.483]

42 If Vi is an OR node in the graph, then it selects a kernel amongst its children TVi . [sent-112, score-0.619]

43 Since the behavior of the AND nodes is deterministic, the number of possible configurations is only dependent on the number of OR nodes in the graph. [sent-114, score-0.515]

44 Note that the space of possible assignments v is not actually the space of all kernel matrices, as nodes in the graph are restricted to combinations of the kernel matrices in the LEAF nodes. [sent-115, score-1.14]

45 Thus, a configuration can be seen as a parse of the graph (blue edges in Figure 2), where we can trace the kernels combined for each node down to the LEAF nodes. [sent-116, score-0.726]

46 After initializing an AND/OR graph structure, we propose a set of potential moves in the space of possible structures. [sent-119, score-0.455]

47 node |Vi | as the number of LEAF nodes that are combined innotdoe eth |eV k|e arsne thl efo nru nmodbeer rV oi. [sent-123, score-0.482]

48 Inference The inference problem seeks to find the assignment of kernel matrices v = {v1, v2 , . [sent-125, score-0.439]

49 S thinacte m tihnei m biezheasv tihoer of the AND nodes is deterministic, our goal in inference is to choose the children nodes that the OR nodes select. [sent-129, score-0.824]

50 However, this is difficult because ψROOT computes a score based on the kernel at the root node, which couples the decisions of all nodes. [sent-130, score-0.422]

51 Thus, the decisions for the OR nodes cannot be made locally as they could affect the kernel combination at the root node in different ways. [sent-131, score-0.89]

52 In order to perform efficient inference, we propose an approach inspired by [2, 3] that combines a bottom-up processing stage that proposes configurations for subtrees with a top-down refinement stage that considers a global set of moves over the entire graph. [sent-132, score-0.325]

53 We start from the nodes in the lowest layer and work our way up to the root node. [sent-134, score-0.377]

54 For each OR node Vi ∈ VOR, we assume that the best kernel assignment vi is the ∈chi Vld u ∈ TVi that achieves the best score: vi= aurg∈TmViaxS(u) (5) With this approximation, we can compute the kernel assignments for the OR nodes locally from their children. [sent-135, score-1.168]

55 Using this approximation, we can build our configuration from the bottom-up to obtain a kernel assignment for the entire AND/OR graph. [sent-137, score-0.405]

56 To limit the space of possible refinements, we only consider changing children of OR nodes for which the local estimates from Equation 5 were close in score. [sent-141, score-0.36]

57 Structure Learning Our goal in structure learning is to find the best AND/OR graph structure and configuration for a particular class, a difficult problem because of the large space of possible graph structures. [sent-143, score-0.798]

58 We use a greedy hill-climbing approach to structure learning, and start by initializing our AND/OR graph structure using a random initialization. [sent-144, score-0.463]

59 To help constrain the space of possible graph structures, we constrain each node to have at most λchild children and λparent parents. [sent-145, score-0.737]

60 By constraining the number of children a node can have, we help regularize our graph structures so that we select the most important kernels. [sent-146, score-0.736]

61 By constraining the number of parents a node can have, we prevent kernels from appearing in large numbers of nodes in the graph, allowing our structure to consider different subsets of kernels. [sent-147, score-0.726]

62 After initializing our graph structure G, we select a random node Vi in the graph and consider the following set of moves: • Add operation. [sent-148, score-0.839]

63 We remove a child node from Vi, wRhemicho corresponds t. [sent-177, score-0.322]

64 We swap one ofthe child nodes from SViw awpit ho one otiof nth. [sent-181, score-0.342]

65 This corresponds to swapping a node from TVi for a node in TVj . [sent-183, score-0.46]

66 Considering each of these moves provides us with a set of potential graph structures {G1, G2 , . [sent-184, score-0.455]

67 Then, we compute the structure score Struct(Gi) using the following equation: Struct(Gi) = S(Gi (Vroot)) − λstruct |Gi (Vroot) | (6) where Gi (Vroot) corresponds to the root node of the potential graph structure Gi. [sent-190, score-0.855]

68 This score is a combination of the score of the root node, combined with a regularization on the number of LEAF nodes selected by the root node to prevent overly complex combinations. [sent-191, score-0.903]

69 Any subtree that remains unchanged by the graph moves does not need to be re-computed, as the optimal bottom-up configuration will remain the same. [sent-198, score-0.441]

70 In practice, we use a hash table to keep track of the scores for all leaf node combinations that have been computed. [sent-199, score-0.507]

71 There are approximately 150 training videos for each event, and in the two testing sets for DEV-T and DEV-O, we are given large databases of videos that consist of both the events in the set as well as null videos that correspond to no event. [sent-203, score-0.33]

72 Average Precision (AP) values for datasets using graph structures with different numbers of layers. [sent-216, score-0.345]

73 For all features, we used the Histogram Intersection Kernel for our kernel matrices, normalized using spherical normalization [11], as this kernel provided us with the best individual feature results. [sent-220, score-0.515]

74 For all methods that define a combination of kernels, we train an SVM over the kernel combination, and cross-validate to determine the C parameter. [sent-221, score-0.303]

75 To constrain our search space, we considered 5-layer AND/OR graphs (see Figure 8), with alternating layers of AND nodes and OR nodes. [sent-230, score-0.322]

76 To help alleviate the problem of local optima in our structure search procedure, we considered multiple random initializations, and selected the graph structure whose configuration provided us with the lowest energy. [sent-231, score-0.611]

77 This method iteratively selects the best individual performing feature through cross-validation, and combines this feature with all previously selected features using kernel averaging. [sent-235, score-0.422]

78 Visualizations ofthe feature combinations learned by various methods for each ofthe complex event classes. [sent-241, score-0.42]

79 Visualizations of AND/OR graph structures that are learned by our method for the “Wedding ceremony” and “Changing a vehicle tire” classes. [sent-246, score-0.312]

80 [19] This method uses temporal structure for complex event recognition with only HOG3D features. [sent-254, score-0.356]

81 Although kernel averaging is a special instance of our method where an AND node combines all LEAF nodes, our method sometimes performs worse than averaging. [sent-262, score-0.505]

82 This is because we place several forms of regularization on our model including the λchild and λparent parameters so that our method prefers simpler kernel combinations, and constrains the space of AND/OR graphs we must search over. [sent-263, score-0.313]

83 However, it is possible to search an even larger space of AND/OR graph structures that includes kernel averaging, and that would help improve performance further. [sent-264, score-0.619]

84 The convergence will likely be much slower if we considered more complicated graph structures or additional types of moves. [sent-270, score-0.369]

85 Note that the performance of the initial graph structures are decent, as we perform inference on these structures to obtain their optimal configurations. [sent-273, score-0.461]

86 In Table 3, we also show the performance of graph structures with different numbers of layers. [sent-274, score-0.345]

87 However, because our method considers features independently in a hierarchical setting, it allows us to discover complementary features otherwise missed by MKL L1. [sent-281, score-0.344]

88 We visualize two of the learned graph structures and configurations in Figure 8. [sent-282, score-0.348]

89 The “Changing a vehicle tire” graph visualization shows how our method prefers SIFT image features for this class, possibly because the presence oftires is very indicative. [sent-284, score-0.343]

90 Note that our method is also able to do implicit kernel weighting, as seen in the graph visualization for “Wedding ceremony”, where the HOG3D feature is deemed important and combined twice. [sent-285, score-0.556]

91 Conclusion In conclusion, we have presented a method for combining features that incorporates our intuitions for how features should be combined. [sent-287, score-0.311]

92 Our method uses an AND/OR graph to represent possible feature combinations, and automatically learns the structure of the graph. [sent-288, score-0.396]

93 Using the AND/OR graph structure, our feature combination method is able to be selective of features, consider different subsets of features in a hierarchical manner, and achieve convincing results on the 2011TRECVID MED dataset [17]. [sent-289, score-0.62]

94 Designing efficient methods to utilize additional layers and nodes with non-linear behavior could be a possible direction. [sent-292, score-0.3]

95 In addition, it would be interesting to draw connections between our method and objectives that are optimized by kernel combination techniques such as MKL. [sent-293, score-0.303]

96 Exploring large feature spaces with hierarchical multiple kernel learning. [sent-302, score-0.334]

97 Rapid inference on a novel and/or graph for object detection, segmentation and parsing. [sent-319, score-0.309]

98 Recognizing complex events using large margin joint low-level event model. [sent-355, score-0.349]

99 Evaluation of low-level features and their combinations for complex event detection in open source videos. [sent-424, score-0.451]

100 Learning latent temporal [20] [21] [22] [23] [24] [25] structure for complex event detection. [sent-430, score-0.356]


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