Linear classifiers: prediction equations

Python'da Lineer Sınıflandırıcılar

Michael (Mike) Gelbart

Instructor, The University of British Columbia

Dot Products

x = np.arange(3)
x

array([0, 1, 2])

y = np.arange(3,6)
y

array([3, 4, 5])

x*y

array([0, 4, 10])

np.sum(x*y)

x@y

$\textrm{raw model output} = \textrm{coefficients} \cdot \textrm{features} + \textrm{intercept}$
Linear classifier prediction: compute raw model output, check the sign
- if positive, predict one class
- if negative, predict the other class
This is the same for logistic regression and linear SVM
- fit is different but predict is the same

$\textrm{raw model output} = \textrm{coefficients} \cdot \textrm{features} + \textrm{intercept}$

lr = LogisticRegression()

lr.fit(X,y)

lr.predict(X)[10]

lr.predict(X)[20]

lr.coef_ @ X[10] + lr.intercept_ # raw model output

array([-33.78572166])

lr.coef_ @ X[20] + lr.intercept_ # raw model output

array([ 0.08050621])

Python'da Lineer Sınıflandırıcılar