# Machine Leaning
---
---
## $$ Y = w \times X + b $$
## $$ \hat{Y} $$
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img {
width: 19.1em;
}
</style>
$w=3, b=-1$
---
$w=3, b=-1$
---
## $$ \mathcal{L}( \hat{Y}, Y) = (\hat{Y} - Y) ^ 2 $$
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$$ \mathcal{L}( \hat{Y}, Y) = (\hat{Y} - (w \times X + b)) ^ 2 $$
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$$ \frac{d \mathcal{L}} {dw} $$
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$\mathcal{L}-w$
---
$\mathcal{L}-w$
----
$$ \frac{d \mathcal{L}} {dw} $$
---
$\mathcal{L}-w$
----
$$
w := w
-\alpha
\frac{d \mathcal{L}}{dw}
$$
---
$\mathcal{L}-w$
---
$\mathcal{L}-w$
---
$\mathcal{L}-w$
---
$w=3, b=-1$
----
$w=0.9, b=-1$
----
$$ \frac{d \mathcal{L}} {dw} $$
----
$$ \frac{d \mathcal{L}} {db} $$
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