webgl cube

https://developer.mozilla.org/en-US/docs/Web/API/WebGL_API/Tutorial/Creating_3D_objects_using_WebGL
https://catonif.github.io/cube/
http://www.moj.go.jp/isa/consultation/report/index.html

Learn sin curve

Learn weights from data matrix X and label vector y.

Learn weights from data matrix X and label vector y.

actual: y = (0.1, 0.2, 0.1, 0.3) x + 0~0.3
result:

Learn weights from data matrix X and label vector y

Learn weights from data matrix X and label vector y.

actual: y = 0.2 * x0 + 0.3 + x1 + 0~0.5
result:

Learn a weight and a bias from data vector x and label vector y

Learn a weight from data vector x and label vector y.
y = w * x + b

Learn a weight from a data x and a label y

Learn a weight from a data x and a label y.
y = w * x

Ordinary least squares

Roughly calculation of ordinary least squares of multiple linear regression.

y = X b + e
is a multiple linear regression where
y is a dependent vector,
X is an explanatory matrix and
e is an error vector.

e = y - X b

Multiply both sides with a transposed variable of then self.

eT e
= (y - X b)T (y - X b)
= yT y - 2 bT XT y + bT XT X b

Differentiate by b.
Since the right hand side of previous equation is a squared expression with b,
the differentiation of minimal value of it is 0.

d(eT e) / db = - 2 XT y + 2 XT X b = 0

b = (XT X)^-1 XT y

References:
https://en.wikipedia.org/wiki/Ordinary_least_squares
https://en.wikipedia.org/wiki/Proofs_involving_ordinary_least_squares#Least_squares_estimator_for_.CE.B2