# Regression

## Changes from beginning to 8e1c340e28cd8d0ec9d3ff801380dc0d165a5594

---
title: Neural Networks for Regression
categories: session
---

# Reading

+ Szeliski 2022 Chapter 5

# Exercise 3. Regression.

One in-house project is to classify images of remote galaxies,
which are often distorted due to the gravity of dark matter.
This effect is known as gravitational lensing.

A sample dataset can be found at
[github](https://github.com/CosmoAI-AES/datasets2022/Exercise2022).
This directory contains

+ A data file, sphere-pm.csv
+ 10000 images of distorted galaxies
+ A python file Dataset.py defining a subclass of Dataset
to manage these data

The CSV file has the form

index,filename,source,lens,chi,x,y,einsteinR,sigma,sigma2,theta,nterms
"00001",image-00001.png,s,p,50,30,40,19,31,0,0,16

The interesting columns are the filename which points to the
input image,  and
the four output variables $x$, $y$, einsteinR, and $\sigma$.
The other columns are associated with more advanced problem instances
and should be ignored.

1.  Study the Dataset class Dataset.py.  How is the dataset managed?
2.  Use this class to test if you can train a network to determine the
four outputs for an image.

# Exercise 4.  Own Data (Optional)

Making your own training data may be difficult, because of the
large quantity of data that you need, but if you want to give it
a try, I would recommend this.

1.  Team up with everybody else who wants to do this problem.
2.  Each team member makes a set of hand-drawn digits, at least
ten versions of each digit each.
3.  Digitise the digits into image files.  Make sure that everybody
uses the same resolution.
+ The resolution must be large enough to make digits recognisable,
but small enough to save computational power.
+ Somewhere between $28\times28$ (same as the MIST dataset)
and $64\times64$ may be considered.
4.  Gather the images into a dataset with their labels (digit value).
You may use Exercise 3 as an example.
5.  Merge and share the dataset.
6.  Train and test a neural network to read the digits.
7.  Try different networks, at least the ones you have used in previous
exercises.