Average MSE (ms²) and MAE (ms) for varying error percentage and duration for the hybrid methods used to treat the time series. (The ||MAE||₂ computation does not include variable duration cases. The table is sorted in descending order by ||MAE||₂)
Methods/Noisy ||MAE||₂ p = 10% p = 20% p = 30%
1s 3s 5s 7s Variable Duration 1s 3s 5s 7s Variable Duration 1s 3s 5s 7s Variable Duration
Average Average Average Average Average Average Average Average Average Average Average Average Average Average Average
MSE MAE MSE MAE MSE MAE MSE MAE MSE MAE MSE MAE MSE MAE MSE MAE MSE MAE MSE MAE MSE MAE MSE MAE MSE MAE MSE MAE MSE MAE
RQ × Brownian 20.07 78.89 2.01 124.28 2.52 154.77 2.82 182.51 3.06 152.31 2.8 166.03 4.13 252.79 5.08 318.22 5.73 361.88 6.13 306.06 5.61 270 6.44 389.21 7.74 484.46 8.64 551.94 9.26 459.28 8.42
RQ × Exp 18.84 61.67 1.73 105.86 2.27 142.31 2.66 179.91 2.99 142.01 2.64 129.76 3.55 217.42 4.61 297.16 5.43 359.23 6.01 286.77 5.32 213.78 5.55 341.27 7.07 456.09 8.22 548.73 9.1 431.6 7.99
RQ + Brownian 18.09 58.01 1.67 99.16 2.2 131.12 2.55 162.67 2.85 129.82 2.53 122.48 3.44 203.55 4.47 272.66 5.21 323.96 5.72 262.51 5.09 203.15 5.39 318.68 6.84 418.83 7.9 494.76 8.67 395.72 7.66
RQ × Periodic 17.96 57.41 1.65 98.52 2.19 128.49 2.53 158.32 2.81 127.29 2.51 122.17 3.42 202.56 4.45 269.36 5.18 316.33 5.65 259.18 5.06 202.8 5.39 316.29 6.82 412.54 7.84 485.2 8.58 389.83 7.6
RQ × RBF 17.93 58.39 1.66 99.14 2.2 128.35 2.53 156.54 2.8 126.89 2.51 123.16 3.43 203.07 4.47 266.74 5.17 311.68 5.62 256.51 5.05 204.16 5.39 316.53 6.84 408.74 7.82 476.66 8.52 386.54 7.59
RQ + Exp 17.82 57.44 1.67 97.4 2.18 126.49 2.52 154.85 2.79 125.28 2.5 120 3.42 198.56 4.42 261.82 5.12 307.34 5.59 252.52 5.02 201.37 5.41 310.42 6.78 402.05 7.76 470.96 8.47 380.81 7.54
RQ + Periodic 17.55 55.59 1.63 94.55 2.16 121.82 2.48 147.37 2.73 120.18 2.45 117.61 3.37 193.93 4.38 252.27 5.05 294.09 5.5 243.51 4.94 194.35 5.29 302.91 6.71 388.57 7.66 449.74 8.32 368.3 7.44
RQ + RBF 17.42 55.71 1.63 94.13 2.14 121.31 2.47 148.41 2.73 120.33 2.45 117.17 3.36 190.98 4.33 249.79 5.01 291.41 5.45 240.84 4.9 193.78 5.27 299.45 6.65 384.2 7.59 444.37 8.25 364.3 7.38