Improving the Solution of Least Squares Support Vector Machines with Application to a Blast Furnace System

Table 2

Experimental results of three methods on Concrete data set.

	Concrete data set, 1030 samples, 8-d inputs, 𝜎^2 equals 8
log2𝐶	Conjugate gradient method			Null space method			MINRES method
	Cond	CPU	MSE	Cond	CPU	MSE	Cond	CPU	MSE
−5	7	2.0781	140.8498	738.137223	3.6719	140.8498	51.5204280	1.6406	140.8498
−4	13	2.3594	111.2384	745.054714	3.6563	111.2384	39.7005872	1.8906	111.2383
−3	25	2.8125	89.3458	796.627246	3.8281	89.3458	31.7895802	2.0938	89.3459
−2	50	2.4844	74.4146	850.938881	3.9688	74.4146	51.4318149	2.0469	74.4146
−1	102	3.0000	60.2984	954.604170	4.3906	60.2984	104.293122	2.2969	60.2984
0	199	3.4219	50.4491	1397.13474	4.8438	50.4491	202.202543	2.8281	50.4490
1	399	4.0625	43.5416	1737.97400	5.7188	43.5416	406.110983	3.2500	43.5416
2	787	4.8750	41.5463	2369.65769	6.4219	41.5463	799.643656	3.8594	41.5463
3	1561	6.3125	36.5797	5375.87469	7.3750	36.5797	1586.70628	4.2500	36.5797
4	3197	8.0000	33.4861	7342.75323	8.7188	33.4861	3247.47638	5.0156	33.4861
5	6411	10.3281	33.1452	18274.6591	10.8438	33.1452	6510.73913	6.2188	33.1452
6	12530	13.8750	33.4936	37192.6189	12.9063	33.4936	12732.7611	8.2813	33.4936
7	25614	18.5781	33.8690	73008.8645	15.8594	33.8690	26010.1838	11.0156	33.8690
8	51260	25.1250	32.6925	126475.189	19.5938	32.6925	52056.7280	14.8906	32.6925
9	101053	33.9531	35.1044	249234.605	25.2969	35.1044	102657.615	19.9219	35.1043
10	199734	46.3125	40.4777	557864.123	32.9219	40.4777	202961.396	27.0625	40.4777