Stefanos Zafeiriou Machine Learning(395) Course 395: Machine Learning – Math. Intro. Brief Intro to Matrices, Vectors and Derivatives: Equality: Two matrices and are equal iff Matrix addition Scalar Multilplication

Stefanos Zafeiriou Machine Learning(395) Neural Networks – Math. Intro. Matrix transposition: Dot product:

Stefanos Zafeiriou Machine Learning(395) Matrix Multiplication: Let two matrices and then : the dot product of the i-th row of and the j-th column of Example: Neural Networks – Math. Intro.

Stefanos Zafeiriou Machine Learning(395) Partial derivatives Example 1: Neural Networks – Math. Intro.

Stefanos Zafeiriou Machine Learning(395) Example 2: Neural Networks – Math. Intro.

Stefanos Zafeiriou Machine Learning(395) Optimization problem Compute the partial derivatives Neural Networks – Math. Intro.