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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
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Stefanos Zafeiriou Machine Learning(395)
Neural Networks – Math. Intro.
•Matrix transposition:
•Dot product:
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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.
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Stefanos Zafeiriou Machine Learning(395)
•Partial derivatives Example 1:
Neural Networks – Math. Intro.
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Stefanos Zafeiriou Machine Learning(395)
•Example 2:
Neural Networks – Math. Intro.
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Stefanos Zafeiriou Machine Learning(395)
•Optimization problem
Compute the partial derivatives
Neural Networks – Math. Intro.