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Mathematics for machine learning

Gradient and Jacobian

How frameworks compute and apply derivatives at the vector and matrix level.

5 lessons Follow in order
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Lessons in sequence

Work through these in order—each lesson builds on the previous one.

  1. Lesson 1 of 5

    The gradient vector

    Enroll to open · 7 min read

  2. Lesson 2 of 5

    The Jacobian matrix

    Enroll to open · 8 min read

  3. Lesson 3 of 5

    Computing Jacobians

    Enroll to open · 8 min read

  4. Lesson 4 of 5

    Vector–Jacobian products

    Enroll to open · 8 min read

  5. Lesson 5 of 5

    Backprop as a Jacobian product

    Enroll to open · 8 min read

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