Comparing methods for dimensionality reduction when data are density functions

Functional Data Analysis (FDA) deals with samples where a whole function is observed for each individual. A particular case of FDA is when the observed functions are density functions, that are also an example of infinite dimensional compositional data. In this work we compare several methods for dimensionality reduction for this particular type of data: functional principal components analysis (PCA) with or without a previous data transformation and multidimensional scaling (MDS) for diferent inter-densities distances, one of them taking into account the compositional nature of density functions. The difeerent methods are applied to both artificial and real data (households income distributions)

Engineering Foundation Year - Sustaining Success - Lecture 1 - slides

These materials are used in student tutorials as part of the routes to success course. The tutorials are typically delivered to a large group (~50) in an interactive manner, with the slides serving as reference/check materials. Some of the questions in the slides can also be used as individual handouts

Prepare for success

You can use these learning activities to prepare yourself for academic life in the UK.

Example General Feedback on Routes to Success Portfolios

This document provides example feedback which has been generated following the marking of a class set of portfolios. It is used as a part of the Routes to Success Module, specifically on the section titled Sustaining Success. Students can read the feedback prior to completing the portfolio to alert them to the possible shortfalls which may occur when they undertake this type of task. The feedback is introduced in the context that the task of completing the portfolio is a developmental one, and that students can expect to learn and improve their performance for this type of task as they develop and refine their skills.

Special Functions

Exam questions and solutions in LaTex

Special Functions pdf

Exam questions and solutions in PDF

Vector functions and curves

Exercises and solutions about vector functions and curves.

Sustaining Success - portfolio questions

A one page version of the portfolio questions used for the routes to success section of the engineering foundation year. This is part three sustaining success

Engineering Foundation Year - Sustaining Success Portfolio Template

Template - word processed document for 'Routes to Success' Coursework 3 'Sustaining Success'

Engineering Foundation Year - Sustaining Success Week 1

Slides for first week of teaching

Engineering Foundation Year - Sustaining Success Week 1

Slides for first week of teaching, PDF 6 up

Engineering Foundation Year - Sustaining Success Week 1

Slides for first week of teaching, PDF

Engineering Foundation Year - sustaining success portfolio summary

single sheet containing all the section headings for the portfolio, providing overview

Collection Engineering Foundation Year, Sustaining Success, Week 1

slides, notes, and background information covered in first week of this six week set of classes