There is an equation that describes the cost function of Ridge, where j runs from 0 to p. So if p is 3, it means the lincar model reads y=w0 +wl*xl+w2*x2+w3*x3. w0 is the intercept or rather bias, wl, w2 and w3 makes the slope of the plane. Now, assume p-1, so this turns into your usual single-variate linear model. Work out the gradient descent by hand. Σω-κ-Σ»-Σχο) Σ Σ(u - y) = X Iij + x Cost function for ridge regression
There is an equation that describes the cost function of Ridge, where j runs from 0 to p. So if p is 3, it means the lincar model reads y=w0 +wl*xl+w2*x2+w3*x3. w0 is the intercept or rather bias, wl, w2 and w3 makes the slope of the plane. Now, assume p-1, so this turns into your usual single-variate linear model. Work out the gradient descent by hand. Σω-κ-Σ»-Σχο) Σ Σ(u - y) = X Iij + x Cost function for ridge regression
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:There is an equation that describes the cost function of Ridge, where j runs from 0 to p. So if p is 3, it
means the linear model reads y=w0 + w1*xl+w2*x2 + w3*x3. wo is the intercept or rather bias, wl, w2
and w3 makes the slope of the plane.
Now, assume p= 1, so this turns into your usual single-variate linear model. Work out the gradient
descent by hand.
Σ-²-(--2-----2-
9)
j=0
Cost function for ridge regression
M
With the gradient descent, now please write down update rule
A simple update rule
.
dy = f(x+h)-f(x)
• dy = d.dx
• Then, f(x + h) = x+dx+f(x)
• Or rather, f(x₁) = 2+x+f(x₂)
+ ²
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