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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.

Mathematical Methods for Data Analysis
8 weeks
6–10 hours per week
Self-paced
Progress at your own speed
Free
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Starts Nov 8
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Mathematical Methods for Data Analysis

About this course

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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.

At a glance

  • Institution: HKUSTx
  • Subject: Math
  • Level: Intermediate
  • Prerequisites:
    • Calculus
    • Linear algebra
  • Language: English
  • Video Transcript: English
  • Associated programs:
  • Associated skills:Data Analysis, Basic Math, Fourier Analysis, Machine Learning Algorithms, K-Means Clustering

What you'll learn

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  • 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

Syllabus

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  • 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

Who can take this course?

Unfortunately, learners residing in one or more of the following countries or regions will not be able to register for this course: Iran, Cuba and the Crimea region of Ukraine. While edX has sought licenses from the U.S. Office of Foreign Assets Control (OFAC) to offer our courses to learners in these countries and regions, the licenses we have received are not broad enough to allow us to offer this course in all locations. edX truly regrets that U.S. sanctions prevent us from offering all of our courses to everyone, no matter where they live.

This course is part of Big Data Technology MicroMasters Program

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Expert instruction
5 graduate-level courses
Self-paced
Progress at your own speed
9 months
6 - 10 hours per week

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Price

$439 USD

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Expires on Jan 3, 2025

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