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

Table 3

The performance of the proposed models through the training phase.

MAE ()
Length of data %	GBR-M1	ELM-M1	GMDHNN-M1	GBR-M2	ELM-M2	GMDHNN-M2	GBR-M3	ELM-M3	GMDHNN-M3
50	7.2799	1.1099	1.1187	7.4488	1.0889	1.1134	6.8659	1.0828	1.1131
55	3.7064	1.0937	1.1008	7.2083	1.0738	1.0966	7.5851	1.0643	1.0936
60	7.5298	1.0721	1.0772	7.5252	1.0525	1.0729	5.9251	1.0480	1.0711
65	7.4281	1.0501	1.0556	4.2015	1.0289	1.0515	7.4239	1.0260	1.0484
70	6.6336	1.0317	1.0365	6.9824	1.0133	1.0333	4.9280	1.0063	1.0293
75	7.5004	1.0206	1.0258	4.2329	1.0040	1.0213	6.8401	1.0085	1.0178
80	7.4874	1.0071	1.0117	7.4851	0.9895	1.0074	6.0359	0.9852	1.0038
85	6.2630	0.9919	0.9954	7.3971	0.9818	0.9985	7.3912	0.9767	0.9936
90	7.3670	0.9916	0.9955	7.3636	0.9760	0.9910	7.3607	0.9710	0.9898
Min	3.7064	0.9916	0.9954	4.2015	0.9760	0.9910	4.9280	0.9710	0.9898
Max	7.5298	1.1099	1.1187	7.5252	1.0889	1.1134	7.5851	1.0828	1.1131
R
50	0.9063	0.9062	0.9057	0.9111	0.9106	0.9071	0.9100	0.9137	0.9076
55	0.9051	0.9063	0.9060	0.9092	0.9111	0.9074	0.9108	0.9145	0.9084
60	0.9072	0.9067	0.9064	0.9145	0.9111	0.9077	0.9083	0.9133	0.9087
65	0.9082	0.9076	0.9073	0.9004	0.9131	0.9087	0.9161	0.9143	0.9096
70	0.9084	0.9085	0.9082	0.9115	0.9126	0.9094	0.9098	0.9158	0.9103
75	0.9100	0.9095	0.9092	0.9100	0.9135	0.9108	0.9133	0.9134	0.9116
80	0.9099	0.9102	0.9099	0.9169	0.9141	0.9113	0.9123	0.9164	0.9121
85	0.9094	0.9110	0.9107	0.9156	0.9146	0.9110	0.9164	0.9162	0.9119
90	0.9113	0.9110	0.9107	0.9170	0.9151	0.9123	0.9168	0.9171	0.9127
Min	0.9051	0.9062	0.9057	0.9004	0.9106	0.9071	0.9083	0.9133	0.9076
Max	0.9113	0.9110	0.9107	0.9170	0.9151	0.9123	0.9168	0.9171	0.9127
RMSE ()
50	9.4115	1.8329	1.8372	9.6029	1.7913	1.8244	8.8518	1.7615	1.8197
55	4.8536	1.8102	1.8138	9.2754	1.7661	1.8003	9.7894	1.7334	1.7916
60	9.6767	1.7786	1.7817	9.6999	1.7378	1.7694	7.6149	1.7179	1.7601
65	9.5495	1.7465	1.7493	5.4772	1.6963	1.7370	9.5644	1.6853	1.7288
70	8.4649	1.7160	1.7186	8.8848	1.6792	1.7077	6.3041	1.6488	1.6994
75	9.5555	1.7032	1.7059	5.4347	1.6674	1.6919	8.6865	1.6676	1.6847
80	9.5271	1.6877	1.6904	9.5254	1.6518	1.6775	7.6736	1.6307	1.6703
85	8.0018	1.6648	1.6671	9.4256	1.6360	1.6683	9.4138	1.6209	1.6602
90	9.3997	1.6648	1.6671	9.4056	1.6275	1.6525	9.3857	1.6088	1.6495
Min	4.8536	1.6648	1.6671	5.4347	1.6275	1.6525	6.3041	1.6088	1.6495
Max	9.6767	1.8329	1.8372	9.6999	1.7913	1.8244	9.7894	1.7615	1.8197
WI
50	0.6463	0.9489	0.9485	0.6413	0.9515	0.9495	0.6650	0.9533	0.9498
55	0.8190	0.9490	0.9488	0.6473	0.9518	0.9496	0.6325	0.9538	0.9502
60	0.6291	0.9492	0.9490	0.6313	0.9518	0.9498	0.6993	0.9531	0.9503
65	0.6296	0.9498	0.9496	0.7813	0.9530	0.9505	0.6323	0.9537	0.9507
70	0.6603	0.9503	0.9502	0.6464	0.9527	0.9509	0.7442	0.9546	0.9515
75	0.6238	0.9509	0.9508	0.7820	0.9532	0.9516	0.6527	0.9532	0.9520
80	0.6228	0.9513	0.9510	0.6253	0.9536	0.9519	0.6870	0.9549	0.9524
85	0.6722	0.9517	0.9516	0.6262	0.9538	0.9518	0.6266	0.9548	0.9522
90	0.6252	0.9517	0.9516	0.6271	0.9541	0.9525	0.6274	0.9553	0.9528
Min	0.6228	0.9489	0.9485	0.6253	0.9515	0.9495	0.6266	0.9531	0.9498
Max	0.8190	0.9517	0.9516	0.7820	0.9541	0.9525	0.7442	0.9553	0.9528
NSE
50	0.6124	0.9409	0.9404	0.6034	0.9420	0.9407	0.6344	0.9423	0.9407
55	0.7981	0.9404	0.9400	0.6073	0.9415	0.9403	0.5867	0.9420	0.9404
60	0.5765	0.9397	0.9394	0.5768	0.9408	0.9397	0.6668	0.9411	0.9398
65	0.5709	0.9393	0.9390	0.7573	0.9406	0.9393	0.5711	0.9407	0.9394
70	0.6066	0.9388	0.9385	0.5859	0.9399	0.9387	0.7077	0.9403	0.9390
75	0.5533	0.9392	0.9389	0.7479	0.9402	0.9392	0.5926	0.9399	0.9394
80	0.5490	0.9393	0.9391	0.5492	0.9404	0.9393	0.6365	0.9407	0.9395
85	0.6155	0.9391	0.9389	0.5480	0.9400	0.9390	0.5484	0.9403	0.9393
90	0.5477	0.9391	0.9389	0.5479	0.9401	0.9392	0.5481	0.9404	0.9392
Min	0.5477	0.9388	0.9385	0.5479	0.9399	0.9387	0.5481	0.9399	0.939
Max	0.7981	0.9409	0.9404	0.7573	0.942	0.9407	0.7077	0.9423	0.9407

Bold values indicate the highest accuracy.