Table 2: Performance of robust methods under the perturbation in the continuous setting.
Methods	β = 0	β = 25	β = 50	β = 75	β = 100
Uti.(%)	Std.	Num.	Uti.(%)	Std.	Num.	Uti.(%)	Std.	Num.	Uti.(%)	Std.	Num.	Uti.(%)	Std.	Num.
PCT	65.4	9.8	24.8	60.6	12.0	23.6	56.4	11.7	22.6	52.4	11.5	21.7	48.6	7.4	21.0
CPPO	65.0	10.7	24.7	60.3	13.2	23.5	56.6	12.3	22.6	52.7	12.6	21.8	47.8	8.8	20.5
RARL	65.7	10.9	25.1	62.1	12.0	24.4	57.4	11.7	23.5	53.7	11.3	22.7	50.8	8.8	22.2
ExactAR2L(0.3)	65.9	8.8	25.3	61.6	10.7	24.2	57.7	10.5	23.3	53.5	11.5	22.4	48.9	7.7	21.3
ExactAR2L(0.5)	66.0	9.0	25.0	61.6	11.3	24.0	56.9	10.7	23.0	53.8	10.5	22.5	49.9	7.2	21.6
ExactAR2L(0.7)	67.0	9.8	25.5	62.4	12.6	24.2	57.8	11.5	23.1	54.7	10.7	22.2	50.1	7.3	21.1
ExactAR2L(1.0)	66.7	9.6	25.4	62.6	11.3	24.6	57.9	10.3	23.6	55.1	10.0	23.1	50.3	6.0	22.1
RfMDP	62.9	10.4	24.0	57.2	13.3	22.7	52.4	12.5	21.6	48.7	12.4	20.9	43.3	8.6	19.7
ApproxAR2L(0.3)	66.3	9.1	25.1	62.5	11.8	24.3	57.3	11.9	23.0	52.5	11.7	22.0	48.2	7.6	21.1
ApproxAR2L(0.5)	67.1	8.5	25.5	62.4	11.6	24.1	58.0	11.4	23.0	53.8	11.4	22.1	49.1	7.6	20.9
ApproxAR2L(0.7)	67.4	8.8	25.6	63.3	10.9	24.6	58.4	11.0	23.5	54.1	11.6	22.5	49.5	8.1	21.2
ApproxAR2L(1.0)	64.3	9.4	24.6	60.7	11.0	23.6	57.2	11.0	22.9	53.4	11.1	22.1	49.7	8.1	21.4
PCT	65.3	9.6	24.8	58.9	15.0	23.4	53.1	15.4	22.2	48.0	15.4	21.2	41.4	9.4	19.7
CPPO	65.5	10.5	24.9	59.0	15.1	23.9	52.3	15.0	22.7	46.1	14.0	21.7	39.9	6.8	20.7
RARL	63.4	9.1	24.1	58.6	12.1	23.6	54.7	12.2	23.3	50.5	11.3	22.9	45.9	7.0	22.5
ExactAR2L(0.3)	65.5	9.5	24.8	58.5	14.1	23.4	52.2	14.3	22.1	46.5	13.3	21.1	40.2	6.7	19.9
ExactAR2L(0.5)	66.5	8.8	25.3	59.5	14.8	23.8	54.1	14.8	22.6	47.9	14.4	21.3	41.1	8.2	19.9
ExactAR2L(0.7)	67.8	9.0	25.8	61.8	13.9	24.7	55.2	15.6	23.2	49.4	14.8	22.0	43.0	9.6	20.7
ExactAR2L(1.0)	65.9	9.5	25.0	60.6	13.1	24.3	54.4	13.3	23.2	50.6	12.6	22.7	45.3	7.9	22.1
RfMDP	62.5	8.7	23.8	55.6	13.5	22.3	50.0	13.4	21.3	45.2	12.9	20.5	39.2	7.9	19.2
ApproxAR2L(0.3)	65.5	10.0	24.9	58.3	15.0	23.5	51.4	14.1	22.0	46.1	12.7	21.1	40.7	7.5	20.2
ApproxAR2L(0.5)	65.8	9.2	24.9	59.9	14.3	23.7	54.1	15.2	22.4	48.2	14.6	21.1	40.8	8.4	19.4
ApproxAR2L(0.7)	66.8	8.1	25.5	59.7	14.2	23.6	53.8	14.9	22.2	48.3	15.3	20.9	42.0	9.9	19.4
ApproxAR2L(1.0)	64.7	7.2	24.6	58.5	12.5	23.7	53.2	13.0	23.1	47.3	12.6	22.3	42.6	7.9	21.9
PCT	65.8	10.1	25.0	57.6	17.4	23.3	50.7	17.5	21.8	42.7	16.4	20.1	35.9	10.8	18.5
CPPO	64.6	10.2	24.6	57.4	17.1	23.1	50.0	17.9	21.2	42.2	17.7	19.5	33.5	10.4	17.6
RARL	62.7	8.7	23.9	57.0	12.7	23.9	51.6	12.7	24.1	46.5	11.6	24.1	41.0	6.2	24.2
ExactAR2L(0.3)	66.3	8.3	25.2	59.1	15.0	23.7	51.6	16.4	22.2	45.1	15.5	20.8	37.2	8.4	19.2
ExactAR2L(0.5)	65.2	8.9	24.8	58.3	15.6	23.6	52.0	16.2	22.5	44.8	16.3	21.0	37.7	11.1	19.7
ExactAR2L(0.7)	65.5	9.4	24.9	58.6	15.1	23.8	52.4	15.3	22.4	45.7	15.6	20.9	39.0	10.7	19.5
ExactAR2L(1.0)	65.7	10.7	25.1	59.5	15.4	24.3	52.4	16.2	23.4	47.2	15.2	22.6	40.7	10.2	21.5
RfMDP	62.8	10.2	23.9	55.3	17.0	22.5	47.9	17.8	20.9	41.4	17.0	19.5	34.5	11.9	17.9
ApproxAR2L(0.3)	65.8	9.3	25.2	58.4	16.5	23.6	50.4	17.1	21.6	44.0	16.2	20.3	36.5	10.2	18.4
ApproxAR2L(0.5)	65.8	8.8	25.0	57.4	16.6	23.6	50.0	17.2	22.4	43.7	15.7	21.5	36.8	9.2	20.2
ApproxAR2L(0.7)	65.8	8.5	24.9	58.6	15.2	23.9	51.6	15.7	22.9	45.1	14.9	22.2	37.7	8.0	21.2
ApproxAR2L(1.0)	65.5	9.3	24.8	58.2	15.2	23.4	51.6	14.9	22.5	45.4	14.8	21.3	38.2	9.8	20.2
PCT	65.8	10.1	25.0	57.6	17.4	23.3	50.7	17.5	21.9	42.8	16.5	20.1	35.9	10.8	18.5
CPPO	64.6	10.3	24.6	57.4	17.1	23.1	50.0	17.9	21.2	42.2	17.7	19.5	33.5	10.4	17.6
RARL	62.7	8.7	23.9	57.0	12.7	23.8	51.6	12.7	24.1	46.5	11.6	24.1	41.0	6.2	24.2
ExactAR2L(0.3)	66.9	7.7	25.3	57.2	17.3	23.2	48.7	18.7	21.6	40.1	16.5	20.0	31.9	8.5	18.5
ExactAR2L(0.5)	65.9	9.3	24.9	57.4	16.6	23.2	50.9	17.1	22.2	43.5	17.0	20.9	35.0	10.4	19.1
ExactAR2L(0.7)	65.0	9.1	24.8	57.7	16.1	23.4	49.9	17.5	21.8	42.9	16.9	20.5	35.3	11.3	18.7
ExactAR2L(1.0)	64.9	9.2	24.5	58.1	15.6	23.6	51.3	17.2	22.4	44.6	16.9	21.3	37.4	12.0	19.9
RfMDP	62.8	10.2	23.9	55.3	17.0	22.5	47.9	17.8	20.9	41.4	17.1	19.5	34.5	11.9	17.9
ApproxAR2L(0.3)	64.9	9.9	24.7	55.6	18.6	22.6	47.2	19.2	20.9	39.8	18.3	19.4	30.9	9.1	17.3
ApproxAR2L(0.5)	65.8	10.8	25.0	57.5	17.9	23.7	49.4	19.0	22.4	41.7	17.8	21.1	32.9	8.9	19.3
ApproxAR2L(0.7)	66.7	7.7	25.3	58.4	16.7	24.2	50.3	18.0	23.0	42.3	17.2	21.9	33.6	7.4	20.3
ApproxAR2L(1.0)	64.8	9.5	24.8	58.3	15.4	24.2	50.1	17.6	23.1	42.5	16.8	21.8	34.5	8.7	20.7