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Mathematical Methods for Data Analysis

Offered By: The Hong Kong University of Science and Technology via edX

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Data Analysis Courses Mathematics Courses Differentiation Courses Vector Spaces Courses Linear Transformations Courses Convergence Courses Hilbert Spaces Courses Linear Functions Courses Inner Products Courses

Course Description

Overview

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.


Syllabus

  • Chapter 1: Introduction to mathematical analysis tools for data analysis
  • Chapter 2: Vector spaces, metics and convergence
  • Chapter 3: Inner product, Hilber space
  • Chapter 4: Linear functions and differentiation
  • Chapter 5: Linear transformations and higher order differentations

Taught by

Jianfeng CAI

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