The Influence of Data Length on the Performance of Artificial Intelligence Models in Predicting Air Pollution

Table 4

The performance of the proposed models through the testing phase.

MAE
Length of data %	GBR-M1	ELM-M1	GMDHNN-M1	GBR-M2	ELM-M2	GMDHNN-M2	GBR-M3	ELM-M3	GMDHNN-M3
50	0.8557	0.8585	0.8688	0.8516	0.8500	0.8753	0.8739	0.8578	0.8754
45	1.5797	0.8500	0.8592	0.8415	0.8439	0.8633	0.8636	0.8473	0.8647
40	0.8550	0.8521	0.8599	0.8520	0.8434	0.8623	0.9790	0.8472	0.8649
35	0.8594	0.8565	0.8660	1.4210	0.8466	0.8678	0.8551	0.8491	0.8666
30	0.8901	0.8698	0.8774	0.8610	0.8597	0.8771	1.2031	0.8583	0.8767
25	0.8709	0.8707	0.8775	1.3650	0.8610	0.8773	0.8659	0.8681	0.8752
20	0.8889	0.8848	0.8879	0.8733	0.8697	0.8884	0.9516	0.8670	0.8863
15	0.9316	0.8882	0.8925	0.8797	0.8742	0.8923	0.8787	0.8713	0.8877
10	0.8879	0.8890	0.8947	0.8797	0.8785	0.8927	0.8873	0.8769	0.8904
Min	0.8550	0.8500	0.8592	0.8415	0.8434	0.8623	0.8551	0.8472	0.8647
Max	1.5797	0.8890	0.8947	1.4210	0.8785	0.8927	1.2031	0.8769	0.8904
R
50	0.9153	0.9153	0.9156	0.9168	0.9191	0.9157	0.9169	0.9184	0.9162
45	0.9143	0.9161	0.9163	0.9169	0.9200	0.9173	0.9160	0.9190	0.9175
40	0.9164	0.9167	0.9168	0.9169	0.9207	0.9179	0.9174	0.9206	0.9182
35	0.9158	0.9161	0.9161	0.9078	0.9198	0.9172	0.9166	0.9204	0.9174
30	0.9143	0.9144	0.9144	0.9164	0.9187	0.9157	0.9150	0.9181	0.9162
25	0.9113	0.9115	0.9115	0.9113	0.9145	0.9128	0.9129	0.9145	0.9130
20	0.9076	0.9083	0.9086	0.9101	0.9122	0.9100	0.9087	0.9141	0.9103
15	0.9098	0.9110	0.9112	0.9128	0.9151	0.9123	0.9138	0.9162	0.9124
10	0.9000	0.9001	0.9004	0.9022	0.9042	0.9018	0.9006	0.9048	0.9022
Min	0.9000	0.9001	0.9004	0.9022	0.9042	0.9018	0.9006	0.9048	0.9022
Max	0.9164	0.9167	0.9168	0.9169	0.9207	0.9179	0.9174	0.9206	0.9182
RMSE
50	1.4567	1.4499	1.4481	1.4386	1.4191	1.4473	1.4741	1.4258	1.4439
45	2.2999	1.4361	1.4350	1.4373	1.4049	1.4274	1.4374	1.4136	1.4264
40	1.4444	1.4420	1.4415	1.4407	1.4084	1.4329	1.6126	1.4097	1.4306
35	1.4633	1.4607	1.4606	2.1625	1.4291	1.4516	1.4570	1.4243	1.4497
30	1.5409	1.4926	1.4925	1.4915	1.4558	1.4814	1.9040	1.4610	1.4781
25	1.4906	1.4884	1.4886	2.0958	1.4641	1.4787	1.5030	1.4641	1.4764
20	1.5073	1.5015	1.4996	1.4875	1.4708	1.4886	1.6200	1.4555	1.4863
15	1.5949	1.4979	1.4966	1.4840	1.4650	1.4882	1.4753	1.4558	1.4871
10	1.5338	1.5327	1.5305	1.5183	1.5022	1.5206	1.5284	1.4974	1.5175
Min	1.4444	1.4361	1.4350	1.4373	1.4049	1.4274	1.4374	1.4097	1.4264
Max	2.2999	1.5327	1.5305	2.1625	1.5022	1.5206	1.9040	1.4974	1.5175
WI
50	0.9527	0.9543	0.9541	0.9544	0.9564	0.9543	0.9499	0.9560	0.9545
45	0.8508	0.9547	0.9546	0.9533	0.9568	0.9551	0.9549	0.9564	0.9551
40	0.9549	0.9550	0.9548	0.9556	0.9573	0.9555	0.9366	0.9571	0.9555
35	0.9546	0.9547	0.9545	0.8763	0.9569	0.9552	0.9554	0.9571	0.9551
30	0.9473	0.9537	0.9536	0.9519	0.9561	0.9543	0.9094	0.9559	0.9546
25	0.9522	0.9522	0.9521	0.8812	0.9539	0.9527	0.9485	0.9536	0.9528
20	0.9502	0.9505	0.9505	0.9516	0.9527	0.9513	0.9355	0.9535	0.9514
15	0.9404	0.9520	0.9520	0.9530	0.9543	0.9525	0.9534	0.9546	0.9524
10	0.9461	0.9461	0.9462	0.9474	0.9483	0.9468	0.9461	0.9484	0.9471
Min	0.8508	0.9461	0.9462	0.8763	0.9483	0.9468	0.9094	0.9484	0.9471
Max	0.9549	0.9550	0.9548	0.9556	0.9573	0.9555	0.9554	0.9571	0.9555
NSE
50	0.9340	0.9338	0.9330	0.9343	0.9344	0.9325	0.9326	0.9338	0.9325
45	0.8769	0.9338	0.9330	0.9344	0.9342	0.9327	0.9327	0.9340	0.9326
40	0.9343	0.9346	0.9340	0.9346	0.9371	0.9338	0.9248	0.9349	0.9336
35	0.9352	0.9354	0.9347	0.8929	0.9362	0.9346	0.9355	0.9360	0.9347
30	0.9345	0.9360	0.9354	0.9366	0.9367	0.9354	0.9115	0.9368	0.9355
25	0.9335	0.9335	0.9330	0.8957	0.9342	0.9330	0.9339	0.9337	0.9332
20	0.9310	0.9313	0.9310	0.9322	0.9325	0.9310	0.9261	0.9327	0.9312
15	0.9294	0.9327	0.9323	0.9333	0.9337	0.9324	0.9334	0.9340	0.9327
10	0.9282	0.9281	0.9276	0.9288	0.9289	0.9278	0.9282	0.9291	0.9280
Min	0.8769	0.9281	0.9276	0.8929	0.9289	0.9278	0.9115	0.9291	0.928
Max	0.9352	0.936	0.9354	0.9366	0.9371	0.9354	0.9355	0.9368	0.9355

Bold values indicate best MAE value.