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chain_rules [2025/08/04 22:38] hkimscilchain_rules [2025/08/05 00:01] (current) – [e.g.] hkimscil
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 ====== e.g. ====== ====== e.g. ======
-y.hat = a + * x +see [[:gradient descent]] 
 + 
 +y.hat = a + * x 
 a = intercept  a = intercept 
 residuals = (y - y.hat) residuals = (y - y.hat)
 d.sum.of.residuals^2 / d.intercept  d.sum.of.residuals^2 / d.intercept 
 = d.sum.of.residuals^2 / d.sum.of.residuals * d.sum.of.residuals / d.intercept = d.sum.of.residuals^2 / d.sum.of.residuals * d.sum.of.residuals / d.intercept
-= (2 * residual) *  += (2 * residual) *  d(y - y.hat)/d.intercept 
 += (2 * residual) *  d(y - (a + bx)) 
 += (2 * residual) *  d(y - a - bx) 
 += (2 * residual) *  -1 
 += -2 * residual 
 + 
 +y.hat = a + b * x  
 +b = slope 
 +d.sum.of.square.res / d.slope 
 += d.sum.of.square.res / d.sum.of.res * d.sum.of.res / d.slope 
 += d.sum.of.square.res / d.slope 
 += (2 * residual) * d(y - a - bx) 
 += (2 * residual) * - x 
 += - 2 * x * residual 
chain_rules.1754314696.txt.gz · Last modified: 2025/08/04 22:38 by hkimscil

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