Course description
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.
Upcoming start dates
Who should attend?
Prerequisites:
- Calculus
- Linear algebra
Training content
- 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
Course delivery details
This course is offered through The Hong Kong Polytechnic University, a partner institute of EdX.
6-10 hours per week
Costs
- Verified Track -$350
- Audit Track - Free
Certification / Credits
What you'll 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
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