I have this dataframe:
where:
x: independent variable
y: independent variable
z: dependent variable
How do I find in Python the optimal "a" and "b" parameters , so that I optimize this function:
z = a*sin(x) + b*sin(y)
I know that the optimal solution is:
a = 0
b = 1
But what Python code should I use? I guess I should use scipy optimize, but I am only able to use it with one independent variable.
You might want to consider sklearn:
Assuming your dataframe is called df, first thing you might want to do is create a variable X containing the sin-transform of x,y, e.g.
from math import sin
X = [[sin(x), sin(y)] for x, y in zip(df.x, df.y)]
and then a variable Z which is df.z.
Finally, you can just do a linear regression fit usingsklearn, e.g.
from sklearn.linear_model import LinearRegression
reg = LinearRegression().fit(X, Z)
df.to_records())