Skip to main content

Table 1 The MAPEs and RMSEs of the testing set for all methods applied on fs1: time series and fs2: \(53- weeks-before\_52-first-order-differences\) and fs3: \(n-years-before\_m-weeks-around\) feature space

From: A comparative study on predicting influenza outbreaks using different feature spaces: application of influenza-like illness data from Early Warning Alert and Response System in Syria

(a) The MAPEs%

Models

Average

Naïve

Seasonal naïve

Drift

STL

DHR

TBATS

Features:fs1

11.31

5.69

7.9

5.7

5.72

5.12

4.66

Models

GLM

SVR

GB

RF

3-Layers-LSTM

4-Layers-LSTM

 

Features:fs2

6.16

5.83

5.94

5.89

4.72

4.9

 

Models

GLM

SVR

GB

RF

3-Layers-LSTM

4-Layers-LSTM

 

Features:fs3

Y0W1

5.69

5.68

6.75

6.86

5.66

5.67

 

Y0W2

5.76

5.72

7.1

6.3

5.34

5.38

 

Y0W3

5.73

5.73

6.69

6.29

5.36

5.27

 

Y0W4

5.49

5.61

6.92

6.19

5.44

5.3

 

Y0W5

5.68

5.71

7.29

5.91

5.47

5.39

 

Y1W0

6.48

6.72

6.89

9.27

4.5

4.12

 

Y2W0

6.17

5.85

6.47

8.91

4.67

4.6

 

Y3W0

5.96

6.4

8.37

9.08

4.82

4.69

 

Y1W1

5.12

5.23

6.36

6.94

3.94

4.8

 

Y1W2

5.61

5

5.26

6.48

4.09

4.09

 

Y1W3

6.22

5.27

6.22

6.89

3.97

3.63

 

Y1W4

6.22

5.3

5.7

7.11

3.89

3.52

 

Y1W5

6.08

5.23

6.98

6.18

4.46

3.54

 

Y2W1

5.26

5.32

5.56

7.22

4.44

4.03

 

Y2W2

6.01

5.08

4.24

5.78

4.22

4.3

 

Y2W3

7.43

5.68

6.19

6.17

4.43

3.99

 

Y2W4

7.33

5.4

6.71

6.36

4.81

4.39

 

Y2W5

7.23

5.34

5.53

6.44

4.61

4.71

 

Y3W1

6.01

5.43

6.65

6.9

4.72

4.37

 

Y3W2

6.86

5.49

5.75

6.22

5.5

4.74

 

Y3W3

7.74

5.76

6.18

6.34

6.21

5.42

 

Y3W4

8.24

5.92

6.97

6.24

6.43

5.92

 

Y3W5

8.56

6.14

6.24

6.48

6.78

6.13

 

(b) The RMSEs

Models

Average

Naïve

Seasonal naïve

Drift

STL

DHR

TBATS

Features:fs1

0.05796

0.03925

0.04454

0.03931

0.03672

0.03179

0.03096

Models

GLM

SVR

GB

RF

3-Layers-LSTM

4-Layers-LSTM

 

Features:fs2

0.03743

0.03643

0.03687

0.03699

0.02294

0.0237

 

Models

GLM

SVR

GB

RF

3-Layers-LSTM

4-Layers-LSTM

 

Features:fs3

Y0W1

0.03852

0.03866

0.04389

0.04245

0.02744

0.02767

 

Y0W2

0.03933

0.03923

0.04525

0.03868

0.02598

0.02593

 

Y0W3

0.03754

0.03861

0.04286

0.03915

0.02631

0.02549

 

Y0W4

0.03689

0.03755

0.04355

0.0392

0.02666

0.02566

 

Y0W5

0.03686

0.03798

0.04528

0.03825

0.02611

0.02565

 

Y1W0

0.03781

0.03874

0.04163

0.04927

0.02113

0.01985

 

Y2W0

0.03685

0.03534

0.04096

0.04761

0.02252

0.02189

 

Y3W0

0.03629

0.03965

0.04526

0.05006

0.02312

0.02323

 

Y1W1

0.03341

0.03361

0.03851

0.0396

0.01929

0.02296

 

Y1W2

0.03654

0.03272

0.02968

0.03826

0.01938

0.0198

 

Y1W3

0.03742

0.03309

0.03434

0.03768

0.01873

0.01763

 

Y1W4

0.03745

0.03265

0.03369

0.03851

0.01825

0.01662

 

Y1W5

0.03652

0.03175

0.04083

0.0335

0.02139

0.01682

 

Y2W1

0.03472

0.034

0.03515

0.04029

0.02108

0.01984

 

Y2W2

0.03886

0.03352

0.0248

0.03327

0.01994

0.02276

 

Y2W3

0.04222

0.03381

0.03401

0.03705

0.02094

0.01926

 

Y2W4

0.04159

0.03249

0.03787

0.03909

0.02288

0.02122

 

Y2W5

0.04276

0.03291

0.03502

0.03929

0.02148

0.02276

 

Y3W1

0.0362

0.03305

0.03476

0.03988

0.02253

0.02121

 

Y3W2

0.04038

0.03156

0.03382

0.03729

0.02659

0.02319

 

Y3W3

0.04366

0.03357

0.03517

0.03822

0.0313

0.02588

 

Y3W4

0.04539

0.03405

0.04228

0.03822

0.03226

0.02919

 

Y3W5

0.05098

0.03592

0.03747

0.03928

0.03388

0.03064

 
  1. Italics number indicate best result