In a regularized regression model (ridge regression), the target function to be minimized is f

computer science

Description

In a regularized regression model (ridge regression), the target function to be minimized is f ( β ) = ∑ i = 1 n ( y i − β x i ) 2 + λ β 2  where x i and  y i are the observed predictor and response values, n is the number of observations, λ is a given hyper-parameter, and β is the target parameter to be estimated. Use the gradient descent method to find β respectively when λ = 1 , 10 , 100 . The observed data are as follows, i.e., n = 6 , x 1 = 10 , y 1 = 32 , x 6 = 22 , y 6 = 72 , etc.

i

x

y

1

10

32

2

13

40

3

17

46

4

18

62

5

20

54

6

22

72

 


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