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 |