Outline

  • building block of regression
  • Q1: least squares
  • aside: newton -raphson method
  • Q2: min-norm least squares
  • Q3: intro to softmax

Supervised Learning

ClassificationRegression
Spam/HamHousing prices
Dog/CatStock Returns
One/ Two/ … NineBiophysical Measurements
Red Wine / White Wine

Regression Function: Priors + Structure of Data

  • Linear (y = mx)
  • Polynomial
  • Logistic
  • Neural Net

Loss Functions: Statistical Model (Dis 5 + Lecture )

  • Squared Error
  • absolute error
  • cross entropy

Cost Functions: Statistical Model (Dis 5 + Lecture )

  • Mean / Sum / Max
  • Regularization

Squard Error + Sum / Mean > () Cross Entropy + Sum / Mean (Multinormal and LR test)