Plotting TemplateMarkdownTeXArrays and ObjectsPlotting Method 1Plotting Method 2Plotting Method 3Plotting ExampleHorizontal LinesCars/Horizontal LineSlopeLinesBest Fitting LineParabolaSineExponential FunctionLogarithmic FunctionGrowth RatesSigmoid FunctionDerivative of ParabolaDerivative of SineDerivative of Exponential FunctionDerivative Using Chain RuleBlocks of CodeFor LoopsGradient DescentGradient DescentThe MSEMSE With Just SlopeGradient Descent ProgramClassesRegression ModulePenguinsPenguins ApplicationBaseball ApplicationPlanesParaboloidSine WaveAnother Sine WaveThe GradientGradient Descent with ParaboloidGradient Descent with a Sine WaveGradient Descent with another Sine WaveRegression RevisitedRegression ClassPenguinsRegression Class (with second predictor)Derivative PracticeExam Practice
Minimizing MSE
msePartialw = (w,b) => {
const summand = X.map((x,i) => (Y[i]-w*X[i]-b)*X[i])
return -2*d3.sum(summand)/4
}
msePartialb = (w,b) => {
const summand = X.map((x,i) => (Y[i]-w*X[i]-b))
return -2*d3.sum(summand)/4
}
coordinates = {
const coordinates = []
let w = w0
let b = b0
for(let i = 0; i <= 1000; i = i + 1){
coordinates.push([w,b])
w = w - .01*msePartialw(w,b)
b = b - .01*msePartialb(w,b)
}
return coordinates
}
w = coordinates[step][0]
b = coordinates[step][1]
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