chain_rules
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| chain_rules [2025/08/22 12:56] – [E.g] hkimscil | chain_rules [2025/08/22 13:19] (current) – [e.g.] hkimscil | ||
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| ====== e.g. ====== | ====== e.g. ====== | ||
| see [[:gradient descent]] | see [[:gradient descent]] | ||
| + | \begin{eqnarray*} | ||
| + | \because{ \;\; } \text{predicted value } \; \hat{y} & = & a + b x \\ | ||
| + | \text{and }\;\; \text{residual} & = & y - \hat{y} \\ | ||
| + | \therefore{} \;\; \text{residual}^2 & = & (y - (a + b x)) \\ | ||
| + | \therefore{} \sum{\text{residual}^2} & = & \sum{(y - (a + b x))^2} \\ | ||
| + | & = & \text{SSE, | ||
| + | \\ | ||
| + | \dfrac{\text{dSSE}}{\text{da}} & = & \\ | ||
| + | |||
| + | \end{eqnarray*} | ||
| y.hat = a + b * x | y.hat = a + b * x | ||
chain_rules.1755835005.txt.gz · Last modified: by hkimscil