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HKUSTx: Mathematical Methods for Data Analysis
Learn mathematical methods for data analysis including mathematical formulations and computational methods. Some well-known machine learning algorithms such as k-means are introduced in the examples.
This Course Includes
edx
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8 weeks at 6-10 hours per week
english
Online - Self Paced
course
HKUSTx
About HKUSTx: Mathematical Methods for Data Analysis
Mathematics has been playing an important role in data analysis from the very beginning; for example, Fourier analysis is one of the main tools in the analysis of image and signal data. This course is to introduce some mathematical methods for data analysis. It will cover mathematical formulations and computational methods to exploit specific structures contained in the data. Some special machine learning algorithms are introduced in case studies.
What You Will Learn?
- Vector spaces, metrics and convergence.
- Case study: Clustering, k-means, k-medians.
- Inner product, Hilbert space.
- Case study: Kernel trick, kernel k-means; metrics learning.
- Linear functions and differentiation.
- Case study: Regression and classification; optimality and gradient descent.