# 大数据：数学建模

## Big Data: Mathematical Modelling

Learn how to apply selected mathematical modelling methods to analyse big data in this free online course.

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FutureLearn
• 完成时间大约为 3
• 初级
• 英语

### 你将学到什么

Identify big data application areas

Explore big data frameworks

Model and analyse data by applying selected techniques

Demonstrate an integrated approach to big data

Develop an awareness of how to participate effectively in a team working with big data experts

### 课程概况

Learn how mathematics underpins big data analysis and develop your skills.

Mathematics is everywhere, and with the rise of big data it becomes a useful tool when extracting information and analysing large datasets. We begin by explaining how maths underpins many of the tools that are used to manage and analyse big data. We show how very different applied problems can have common mathematical aims, and therefore can be addressed using similar mathematical tools. We then introduce three such tools, based on a linear algebra framework: eigenvalues and eigenvectors for ranking; graph Laplacian for clustering; and singular value decomposition for data compression.

### 课程大纲

Introduction to key mathematical concepts in big data analytics: eigenvalues and eigenvectors, principal component analysis (PCA), the graph Laplacian, and singular value decomposition (SVD)
Application of eigenvalues and eigenvectors to investigate prototypical problems of ranking big data
Application of the graph Laplacian to investigate prototypical problems of clustering big data
Application of PCA and SVD to investigate prototypical problems of big data compression

### 面向人群

This course is designed for anyone looking to add mathematical methods for data analytics to their skill set. We provide a multi-layered approach, so you can learn about the methods even if you don’t have a strong maths background, but we provide further information for those with a sound knowledge of undergraduate mathematics. We will assume basic MATLAB (or other) programming skills for some of the practical exercises.

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