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Advances, Systems and Applications

Table 6 Comparison of performance of five models according to five scenarios: The number of data points is increased from 180k up to 1.6 Million. As for Fog computing facility: Intel Core i3-8100 CPU 3.60GHz at 4GB memory, and the OS is Ubuntu 20.04.1 LTS. BOSS VS model shows excellent scalability while keeping the highest accuracy among the other models. N/A denotes that simulation data is unavailable due to computation crashes caused by hardware limitations in this Fog computing facility. The 10-fold cross-validation accuracy is shown in the 95% confidence level

From: Fog computing application of cyber-physical models of IoT devices with symbolic approximation algorithms

Scenario

Data points (data sets)

Model

Time (sec)

Accuracy (non CV)

Cross Validation Accuracy

I

180,000 (300)

WEASEL MUSE

0.39

0.20

\(0.46 \pm 0.17\)

BOSS VS

0.46

1.00

\(0.98 \pm 0.04\)

RF

0.44

0.56

\(0.70 \pm 0.12\)

LR

0.25

0.63

\(0.57 \pm 0.14\)

1-NN DTW

10.40

0.26

\(0.35 \pm 0.06\)

II

540,000 (900)

WEASEL MUSE

1.00

0.33

\(0.49 \pm 0.08\)

BOSS VS

1.42

0.97

\(0.98 \pm 0.02\)

RF

1.16

0.82

\(0.85 \pm 0.06\)

LR

2,700

0.65

\(0.64 \pm 0.06\)

1-NN DTW

89.54

0.37

N/A

III

900,000 (1,500)

WEASEL MUSE

1.810

0.34

\(0.56 \pm 0.08\)

BOSS VS

2.456

0.98

\(0.98 \pm 0.01\)

RF

1.961

0.90

\(0.89 \pm 0.06\)

LR

7.153

0.74

\(0.70 \pm 0.09\)

1-NN DTW

246.794

0.40

N/A

IV

1,080,000 (1,800)

WEASEL MUSE

2.193

0.36

\(0.54 \pm 0.06\)

BOSS VS

2.966

0.98

\(0.98 \pm 0.01\)

RF

2.472

0.87

\(0.89 \pm 0.03\)

LR

12.921

0.76

\(0.70 \pm 0.05\)

1-NN DTW

352.067

0.41

N/A

V

1,620,000 (2,700)

WEASEL MUSE

3.851

0.37

\(0.55 \pm 0.03\)

BOSS VS

8,100

0.98

\(0.98 \pm 0.01\)

RF

3.910

0.92

\(0.91 \pm 0.02\)

LR

32.183

0.71

\(0.73 \pm 0.02\)

1-NN DTW

793.22

0.38

N/A