Welcome back to our tutorial series!
Remember in the previous tutorial, we taught a network how to do XOR operations? In this tutorial we will teach it to predict the house prices of San Francisco.

For predicting the house prices of San Francisco, we need these parameters:

• longitude
• latitude
• housing_median_age
• total_rooms
• total_bedrooms
• population
• households
• median_income
• ocean_proximity

We will be providing these to the network as a dictionary in JavaScript, so the network can easily understand it. A sample house price for a time period would be:

{"inputs":[0.1769999999999996,0.5663157894736844,0.7843137254901961,0.08932295640673484,0.06621146285950755,0.05960555695694012,0.082223318533136,0.5396689655172414,0.75],"target":[0.9022663824066705]

Here we are giving the network the nine parameters and giving a sample target which is the median house price for that time period.

You can access the used dataset here.

What you will need

• Node.js
• A good computer with more than 2 GB of RAM and a good CPU

Getting started!

Setting up the basic components

Environment

First, we need to set up our environment.
First we need to install Dann.js so we can use it in our programs. So run this code in your terminal after switching to the folder:

npm install dannjs

Main file

As you have learnt in the previous tutorial, we start using Dann.js in our JavaScript program by typing:

const Dannjs = require('dannjs');
const Dann = Dannjs.dann;

Now lets initialize the network by typing Dann with the arguments 9,1. Why are we using 9 input neurons and 1 output neuron? Because for the housing status, we are inputting 9 parameters. The output is only one value, so we are requiring only 1 output neuron. So we are assigning only the amount of needed neurons, which are (9,1).

const nn = Dann(9,1);

Setting up the dataset

Download the dataset from github here. Save them in the project directory as dataset.js. We will be using this in our main file.

Import the dataset to the main file:

const dataset = require("./dataset").houses

Setting up the hidden layers

I have found that 3 hidden layers work well. You can experiment with other values:

nn.addHiddenLayer(8,'leakyReLU');
nn.addHiddenLayer(8,'leakyReLU');
nn.addHiddenLayer(6,'tanH');

We are setting the loss function, to mae. MAE loss function is defined as The sum of absolute differences between our target and predicted variables. You can read more about it (here)[https://heartbeat.fritz.ai/5-regression-loss-functions-all-machine-learners-should-know-4fb140e9d4b0].

nn.outputActivation('sigmoid');
nn.setLossFunction('mae');

Now we finally weight the hidden layers:

nn.makeWeights();

Training the model

We are training the model using the dataset using traditional way, aka backPropagation. In this methods, we do a n number of times training through feeding the data manually to the network using the .backPropagate method.

let trainIndex = 0;
function train(epoch = 1) {

  // save dataset length
  let len = houses.data.length;

  // Train multiple epochs
  for (let e = 0; e < epoch; e++) {

    // Log epochs
    if (logs == true) {
      console.log("Epoch " + nn.epoch);
    }

    // Train 1 epoch
    let sum = 0;
    for (let i = 0; i < len; i++) {
      nn.backpropagate(
        houses.data[i].inputs,
        houses.data[i].target
      );
      sum += nn.loss;
    }

    // Save average epoch loss
    losses.push(sum/len);

    // Save epoch's accuracy with testing dataset
    let result = test(logs);
    accuracies.push(result);

    // Increment the Dann model's epoch
    nn.epoch++;
  }
}
train(1000);

Here we are moving away from the out-of-box training and packing the training in a callable function, and calling it.

We are also saving the returned data as we need it to view long series.

Finishing up

Now you can test the model by using .feedForward method.
Happy neural-networking!