Course

Mathematics for Machine Learning

Imperial College London

Imperial College London's "Mathematics for Machine Learning" specialization offers comprehensive training in the fundamental mathematical concepts essential for understanding and applying machine learning and data science techniques. The courses are designed to equip learners with the necessary mathematical foundation to delve into advanced machine learning modules and pursue a career in this rapidly evolving field.

The specialization consists of three courses, each focusing on a key area of mathematical theory and its application in machine learning:

  1. Linear Algebra: Gain an intuitive understanding of vectors and matrices, including eigenvalues and eigenvectors. Learn to implement these concepts in code and apply them to machine learning problems.
  2. Multivariate Calculus: Explore the multivariate calculus required for building common machine learning techniques. Understand how calculus plays a crucial role in neural networks and linear regression models.
  3. Dimensionality Reduction with Principal Component Analysis (PCA): Implement mathematical concepts using real-world data, derive PCA from a projection perspective, understand orthogonal projections, and master PCA for data compression.

Throughout the specialization, learners will engage with interactive coding exercises using Python and Jupyter notebooks, ensuring a practical understanding of the mathematical concepts in a data-driven context. By the end of the program, participants will possess the prerequisite mathematical knowledge to pursue advanced machine learning and data science courses.

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Mathematics for Machine Learning
Course Modules

The Mathematics for Machine Learning specialization comprises three courses: Linear Algebra, Multivariate Calculus, and PCA. Each course provides a deep understanding of fundamental mathematical concepts and their application in machine learning and data science.

Mathematics for Machine Learning: Linear Algebra

In the "Linear Algebra" course, you will delve into the fundamental concepts of linear algebra, including vectors, matrices, eigenvalues, and eigenvectors. By implementing these concepts in code, you will gain a practical understanding of their application in machine learning problems.

Mathematics for Machine Learning: Multivariate Calculus

The "Multivariate Calculus" course offers a comprehensive overview of the multivariate calculus required for building common machine learning techniques. You will explore how calculus plays a crucial role in neural networks and linear regression models, ensuring a solid foundation for advanced machine learning studies.

Mathematics for Machine Learning: PCA

Through the "Dimensionality Reduction with Principal Component Analysis (PCA)" course, you will implement mathematical concepts using real-world data and master PCA from a projection perspective. This intermediate-level course will equip you with the skills to compress high-dimensional data effectively.

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