Mathematical Foundations of Machine Learning

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Mathematical Foundations of Machine Learning

Mathematical Foundations of Machine Learning Course

Essential Linear Algebra and Calculus Hands-On in NumPy, TensorFlow, and PyTorch

This Mathematical Foundations of Machine Learning course is complete, but in the future, we intend on adding extra content from related subjects beyond math, namely: probability, statistics, data structures, algorithms, and optimization. Enrollment now includes free, unlimited access to all of this future course content — over 25 hours in total.

Course Sections

  1. Linear Algebra Data Structures
  2. Tensor Operations
  3. Matrix Properties
  4. Eigenvectors and Eigenvalues
  5. Matrix Operations for Machine Learning
  6. Limits
  7. Derivatives and Differentiation
  8. Automatic Differentiation
  9. Partial-Derivative Calculus
  10. Integral Calculus

Throughout each of the sections, you’ll find plenty of hands-on assignments, Python code demos, and practical exercises to get your math game in top form!

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What you’ll learn

  • Understand the fundamentals of linear algebra and calculus, critical mathematical subjects underlying all of machine learning and data science.
  • Manipulate tensors using all three of the most important Python tensor libraries: NumPy, TensorFlow, and PyTorch
  • How to apply all of the essential vector and matrix operations for machine learning and data science
  • Reduce the dimensionality of complex data to the most informative elements with eigenvectors, SVD, and PCA
  • Solve for unknowns with both simple techniques (e.g., elimination) and advanced techniques (e.g., pseudoinversion)
  • Appreciate how calculus works, from first principles, via interactive code demos in Python.
  • Intimately understand advanced differentiation rules like the chain rule
  • Compute the partial derivatives of machine-learning cost functions by hand as well as with TensorFlow and PyTorch
  • Grasp exactly what gradients are and appreciate why they are essential for enabling ML via gradient descent.
  • Use integral calculus to determine the area under any given curve.
  • Be able to more intimately grasp the details of cutting-edge machine learning papers.
  • Develop an understanding of what’s going on beneath the hood of machine learning algorithms, including those used for deep learning.
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