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Table 9 Optimal λ comparison in projection method with considered kernels in leukemia data

From: Optimal projection method determination by Logdet Divergence and perturbed von-Neumann Divergence

  

α=1,β=2

α=1,β=3

α=2,β=3

Cosine

q=1

(λ opt,AUCopt)

(47.3,0.9418)

(47.3,0.9377)

(46.7,0.9365)

(10,0.9469)

 

(λ opt1,AUCopt1)

(26.8,0.9419)

(26.8,0.9377)

(27.8,0.9367)

(16.6,0.9472)

q=2

(λ opt,AUCopt)

(28.3,0.9551)

((28.3,0.9551)

(22.8,0.9582)

(7.4,0.9541)

 

(λ opt1,AUCopt1)

(35.9,0.9550)

(35.9,0.9551)

(29.3,0.9582)

(24.7,0.9555)

q=3

(λ opt,AUCopt)

(46.5,0.9512)

(46.5,0.9540)

(47,0.9500)

(5.42,0.9573)

 

(λ opt1,AUCopt1)

(87.8,0.9512)

(87.8,0.9551)

(88.8,0.9500)

(23.1,0.9593)

q=4

(λ opt,AUCopt)

(1,0.9427)

(1,0.9416)

(1,0.9405)

(3.06,0.9485)

 

(λ opt1,AUCopt1)

(1,0.9427)

(1,0.9416)

(1,0.9405)

(18.6,0.9522)

q=5

(λ opt,AUCopt)

(1,0.9352)

(1,0.9362)

(1,0.9363)

(2.33,0.9175)

 

(λ opt1,AUCopt1)

(1,0.9352)

(1,0.9362)

(1,0.9363)

(11.08,0.9259)

q=6

(λ opt,AUCopt)

(1,0.9310)

(1,0.9319)

(1,0.9311)

(2.39,0.9333)

 

(λ opt1,AUCopt1)

(1,0.9310)

(1,0.9319)

(1,0.9311)

(7.74,0.9337)

q=7

(λ opt,AUCopt)

(100,0.9201)

(100,0.9236)

(1,0.9212)

(2.56,0.8993)

 

(λ opt1,AUCopt1)

(100,0.9201)

(100,0.9236)

(1,0.9212)

(5.03,0.8921)

q=8

(λ opt,AUCopt)

(100,0.9035)

(100,0.9096)

(100,0.9059)

(2.67,0.8795)

 

(λ opt1,AUCopt1)

(100,0.9035)

(100,0.9096)

(100,0.9059)

(3.56,0.8845)

q=9

(λ opt,AUCopt)

(1,0.8936)

(1,0.8915)

(1,0.8899)

(2.98,0.8734)

 

(λ opt1,AUCopt1)

(1,0.8936)

(1,0.8915)

(1,0.8899)

(3.72,0.8735)

  1. The boldface represents best performance detected for projection methods with different optimal λ, and no marks are made if two methods show comparable performance