Signal Processing - September 2016 - 91

Compression
Factor

Compressive Recognition

Reconstruct-ThenRecognize (IDT)

Recognition
Rate

Run Time

Recognition
Rate

Run Time

1

81.11%

3.22 seconds

100%

3.1

100

81.11%

3.22 seconds

5.56%

1,520 seconds

200

81.11%

3.07 seconds

10%

1,700 seconds

300

76.66%

3.1 seconds

10%

1,800 seconds

500

78.99%

3.08 seconds

7.77%

2,000 seconds

Figure 7. (a) The spatial localization of actions without reconstruction at a compression ratio of 100 for different actions in the Weizmann data set. (b)
The table compares recognition rates and runtimes for direct recognition in the compressive domain versus reconstruct-then-recognize. Direct recognition
outperforms the reconstruct-then-recognize with IDT method and achieves a recognition rate that is comparable to the recognition rate of 81.11% in the
case of OM [1], [29] and is much faster. (Figure adapted from [22].)

set with scale and viewpoint variations. For testing, we use
leave-one-out cross validation. At the compression ratios of
100 and 300, the recognition rates are 70.67% and 68%,
respectively. The rates obtained are comparable to those
obtained in the OM setup [29] (i.e., 69.2%). Considering the
difficulty of the data set, these results are very encouraging.
Sample results of the spatial localization and confusion
matrix for recognition are shown in Figure 8.

Learning tuned measurement operators for task-specific inference
While the results presented previously indicate that effective recognition of actions is feasible from compressive
imagers without the need for reconstruction, the results
suggest that one can potentially achieve better results with
a task-specific design of measurement matrices. As already
indicated at the beginning of the experiments section, taskspecific design can be achieved in a number of ways using

Action

Golf
Swing

Kicking

Riding
Horse

Run
Side

Golf swing

77.78

16.67

0

0

0

Kicking

0

75

0

5

Riding
Horse

16.67

16.67

41.67

Run Side

0

0

Skateboarding

0

Swing

Skateboarding Swing

Walk

Driving

Lifting

0

5.56

0

0

5

10

5

0

0

8.33

8.33

0

8.33

0

0

0

61.54

7.69

15.38

7.69

7.69

0

8.33

8.33

25

50

0

5

0

0

0

3.03

12.12

0.08

3.03

78.79

3.03

0

0

Walk

0

9.09

4.55

4.55

9.09

9.09

63.63

0

0

Driving

0

0

0

0

7.14

0

0

92.86

0

Lifting

0

0

0

0

0

0

0

16.67

83.33

Figure 8. (a) The reconstruction-free spatial localization of the subject for OM (shown as a yellow box) and spatiotemporal smashed filter (STSF) (shown
as a green box) at a compression ratio of 100 for some correctly classified instances of various actions in the UCF sports data set. (b) The confusion
matrix for UCF sports database at a compression factor of 100. The recognition rate for this scenario is 70.67%, which is comparable to OM [29] (69.2%).
(Figure adapted from [22].)
IEEE SIgnal ProcESSIng MagazInE

|

September 2016

|

91



Table of Contents for the Digital Edition of Signal Processing - September 2016

Signal Processing - September 2016 - Cover1
Signal Processing - September 2016 - Cover2
Signal Processing - September 2016 - 1
Signal Processing - September 2016 - 2
Signal Processing - September 2016 - 3
Signal Processing - September 2016 - 4
Signal Processing - September 2016 - 5
Signal Processing - September 2016 - 6
Signal Processing - September 2016 - 7
Signal Processing - September 2016 - 8
Signal Processing - September 2016 - 9
Signal Processing - September 2016 - 10
Signal Processing - September 2016 - 11
Signal Processing - September 2016 - 12
Signal Processing - September 2016 - 13
Signal Processing - September 2016 - 14
Signal Processing - September 2016 - 15
Signal Processing - September 2016 - 16
Signal Processing - September 2016 - 17
Signal Processing - September 2016 - 18
Signal Processing - September 2016 - 19
Signal Processing - September 2016 - 20
Signal Processing - September 2016 - 21
Signal Processing - September 2016 - 22
Signal Processing - September 2016 - 23
Signal Processing - September 2016 - 24
Signal Processing - September 2016 - 25
Signal Processing - September 2016 - 26
Signal Processing - September 2016 - 27
Signal Processing - September 2016 - 28
Signal Processing - September 2016 - 29
Signal Processing - September 2016 - 30
Signal Processing - September 2016 - 31
Signal Processing - September 2016 - 32
Signal Processing - September 2016 - 33
Signal Processing - September 2016 - 34
Signal Processing - September 2016 - 35
Signal Processing - September 2016 - 36
Signal Processing - September 2016 - 37
Signal Processing - September 2016 - 38
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Signal Processing - September 2016 - 40
Signal Processing - September 2016 - 41
Signal Processing - September 2016 - 42
Signal Processing - September 2016 - 43
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Signal Processing - September 2016 - 47
Signal Processing - September 2016 - 48
Signal Processing - September 2016 - 49
Signal Processing - September 2016 - 50
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Signal Processing - September 2016 - 69
Signal Processing - September 2016 - 70
Signal Processing - September 2016 - 71
Signal Processing - September 2016 - 72
Signal Processing - September 2016 - 73
Signal Processing - September 2016 - 74
Signal Processing - September 2016 - 75
Signal Processing - September 2016 - 76
Signal Processing - September 2016 - 77
Signal Processing - September 2016 - 78
Signal Processing - September 2016 - 79
Signal Processing - September 2016 - 80
Signal Processing - September 2016 - 81
Signal Processing - September 2016 - 82
Signal Processing - September 2016 - 83
Signal Processing - September 2016 - 84
Signal Processing - September 2016 - 85
Signal Processing - September 2016 - 86
Signal Processing - September 2016 - 87
Signal Processing - September 2016 - 88
Signal Processing - September 2016 - 89
Signal Processing - September 2016 - 90
Signal Processing - September 2016 - 91
Signal Processing - September 2016 - 92
Signal Processing - September 2016 - 93
Signal Processing - September 2016 - 94
Signal Processing - September 2016 - 95
Signal Processing - September 2016 - 96
Signal Processing - September 2016 - 97
Signal Processing - September 2016 - 98
Signal Processing - September 2016 - 99
Signal Processing - September 2016 - 100
Signal Processing - September 2016 - 101
Signal Processing - September 2016 - 102
Signal Processing - September 2016 - 103
Signal Processing - September 2016 - 104
Signal Processing - September 2016 - 105
Signal Processing - September 2016 - 106
Signal Processing - September 2016 - 107
Signal Processing - September 2016 - 108
Signal Processing - September 2016 - 109
Signal Processing - September 2016 - 110
Signal Processing - September 2016 - 111
Signal Processing - September 2016 - 112
Signal Processing - September 2016 - 113
Signal Processing - September 2016 - 114
Signal Processing - September 2016 - 115
Signal Processing - September 2016 - 116
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Signal Processing - September 2016 - 118
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Signal Processing - September 2016 - 120
Signal Processing - September 2016 - 121
Signal Processing - September 2016 - 122
Signal Processing - September 2016 - 123
Signal Processing - September 2016 - 124
Signal Processing - September 2016 - 125
Signal Processing - September 2016 - 126
Signal Processing - September 2016 - 127
Signal Processing - September 2016 - 128
Signal Processing - September 2016 - 129
Signal Processing - September 2016 - 130
Signal Processing - September 2016 - 131
Signal Processing - September 2016 - 132
Signal Processing - September 2016 - 133
Signal Processing - September 2016 - 134
Signal Processing - September 2016 - 135
Signal Processing - September 2016 - 136
Signal Processing - September 2016 - 137
Signal Processing - September 2016 - 138
Signal Processing - September 2016 - 139
Signal Processing - September 2016 - 140
Signal Processing - September 2016 - 141
Signal Processing - September 2016 - 142
Signal Processing - September 2016 - 143
Signal Processing - September 2016 - 144
Signal Processing - September 2016 - 145
Signal Processing - September 2016 - 146
Signal Processing - September 2016 - 147
Signal Processing - September 2016 - 148
Signal Processing - September 2016 - 149
Signal Processing - September 2016 - 150
Signal Processing - September 2016 - 151
Signal Processing - September 2016 - 152
Signal Processing - September 2016 - 153
Signal Processing - September 2016 - 154
Signal Processing - September 2016 - 155
Signal Processing - September 2016 - 156
Signal Processing - September 2016 - 157
Signal Processing - September 2016 - 158
Signal Processing - September 2016 - 159
Signal Processing - September 2016 - 160
Signal Processing - September 2016 - 161
Signal Processing - September 2016 - 162
Signal Processing - September 2016 - 163
Signal Processing - September 2016 - 164
Signal Processing - September 2016 - 165
Signal Processing - September 2016 - 166
Signal Processing - September 2016 - 167
Signal Processing - September 2016 - 168
Signal Processing - September 2016 - 169
Signal Processing - September 2016 - 170
Signal Processing - September 2016 - 171
Signal Processing - September 2016 - 172
Signal Processing - September 2016 - 173
Signal Processing - September 2016 - 174
Signal Processing - September 2016 - 175
Signal Processing - September 2016 - 176
Signal Processing - September 2016 - Cover3
Signal Processing - September 2016 - Cover4
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