常用公式latex记录

余弦相似度:

c o s ( θ ) = ∑ i = 1 n ( x i × y i ) ∑ i = 1 n ( x i ) 2 × ∑ i = 1 n ( y i ) 2 cos(\theta) = {\sum_{i=1}^{n}{(x_i \times y_i)} \over {\sum_{i=1}^{n}{(x_i)^2} \times \sum_{i=1}^{n}{(y_i)^2}}} cos(θ)=∑i=1n​(xi​)2×∑i=1n​(yi​)2∑i=1n​(xi​×yi​)​
cos(\theta) = {\sum_{i=1}^{n}{(x_i \times y_i)} \over {\sum_{i=1}{n}{(x_i)2} \times \sum_{i=1}{n}{(y_i)2}}}

均方误差:

M S E ( y , y ’ ) = ∑ i = 1 n ( y i − y i ’ ) 2 n MSE(y,y^’) = {\sum_{i=1}^{n}{(y_i-y^’_i)^2} \over n} MSE(y,y’)=n∑i=1n​(yi​−yi’​)2​
MSE(y,y^’) = {\sum_{i=1}{n}{(y_i-y’_i)^2} \over n}