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11 changes: 11 additions & 0 deletions scratch/working_with_data.py
Original file line number Diff line number Diff line change
Expand Up @@ -445,6 +445,17 @@ def project(v: Vector, w: Vector) -> Vector:
projection_length = dot(v, w)
return scalar_multiply(projection_length, w)

data = de_mean(pca_data)
w = first_principal_component(data)
x = [project(v, w) for v in data[:10]]
plt.scatter([v_i[0] for v_i in data], [v_i[1] for v_i in data])
plt.plot([v_i[0] for v_i in x], [v_i[1] for v_i in x], "r")
plt.xlim(-40, 30)
plt.ylim(-30, 30)
#plt.show()
plt.savefig("im/first_principal_component.png")
plt.gca().clear()

from scratch.linear_algebra import subtract

def remove_projection_from_vector(v: Vector, w: Vector) -> Vector:
Expand Down