Linear regression for non-linear functions

Linear regression for non-linear functions

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Despite its seeming limitations, linear regression allows us to approximate not only linear functions, but also square, cubic and other polynomials. We also can add more functions to the basis and approximate, for example, functions with trigonometric expressions, roots, exponents and so on.

Basis visualization

Polynomial approximation

Sine approximation

Course Content

Linear regression for non-linear functions

Linear regression for non-linear functions

Basis visualization Basis change Polynomial approximation Sine approximation

Polynomial approximation

Task

Complete this gradient descent linear regression code to approximate a small portion of the sine with a cubic function. You have to complete the partial derivative formula and write the gradient descent step

Task

Complete this gradient descent linear regression code to approximate a small portion of the sine with a cubic function. You have to complete the partial derivative formula and write the gradient descent step

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Task

Complete this gradient descent linear regression code to approximate a small portion of the sine with a cubic function. You have to complete the partial derivative formula and write the gradient descent step

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Switch to desktop for real-world practiceContinue from where you are using one of the options below

Section 1. Chapter 3

AVAILABLE TO ULTIMATE ONLY

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