Digit Classification using Two Layer Neural Network and Back Propagation. Written in Python and depends only on Numpy

These instructions will showcase how to access the data, train and test the model.

1. Download the data in csv format from here :- https://pjreddie.com/projects/mnist-in-csv/.
2. Already downloaded and kept the MNIST test data in the ./data/ folder. Training data size was huge for Github.

1. Python script, dataloader.py helps in converting the data from csv to numpy format.
2. Verify your above steps are correct by running the script
3. The script requires two user inputs i) datapath = path to the data folder inside which the MNIST CSVs files are stored.
   ii) mode = 'train' or 'test' to extract the training or test data
   iii) For example :-
   

       python dataloader.py ./data test
    ```

1. Python Script , nn.py contains all the APIs used for training the model, saving the model and running over the test data

2. The script requires three user inputs
   i) mode = 'train' or 'test'
   ii) datapath = path to the data folder inside which the MNIST CSVs files are stored.
   iii) modelpath = path to store the trained weight or load the weights during the test time
   

   iv) Example:-

    ```python
        python nn.py train ./data ./new_model
    ```
   

   v) Caution:-

    If you see the following exception:- 
            Exception : Not able to parse MNIST Data
    Please download the mnist_train.csv from the above mentioned link.
   

1. I have already provided the trained model inside the model folder and the test data inside the data folder.

2. To get started, use the follwing command.

       python nn.py test ./data ./model_bn

If everything is set-up well, you should see the following results on your console.
Loading Dataset===>
Done!
Loading Trained Weights......
Testing Iteration===>0, Acc ====>0.9766
Testing Iteration===>1, Acc ====>0.9609
Testing Iteration===>2, Acc ====>0.9844
Testing Iteration===>3, Acc ====>0.9766
Testing Iteration===>4, Acc ====>0.9531
Testing Iteration===>5, Acc ====>0.9531
Testing Iteration===>6, Acc ====>0.9453
Testing Iteration===>7, Acc ====>0.9844
Testing Iteration===>8, Acc ====>0.9687
Testing Iteration===>9, Acc ====>0.9609
Testing Iteration===>10, Acc ====>0.9844
Testing Iteration===>11, Acc ====>0.9297
Testing Iteration===>12, Acc ====>0.9531
Testing Iteration===>13, Acc ====>0.9531
Testing Iteration===>14, Acc ====>0.9297
Testing Iteration===>15, Acc ====>0.9453
Testing Iteration===>16, Acc ====>0.9687
Testing Iteration===>17, Acc ====>0.9766
Testing Iteration===>18, Acc ====>0.9531
Testing Iteration===>19, Acc ====>0.9141
Testing Iteration===>20, Acc ====>0.9766
Testing Iteration===>21, Acc ====>0.9922
Testing Iteration===>22, Acc ====>0.9219
Testing Iteration===>23, Acc ====>0.9531
Testing Iteration===>24, Acc ====>0.9922
Testing Iteration===>25, Acc ====>0.9687
Testing Iteration===>26, Acc ====>0.9531
Testing Iteration===>27, Acc ====>0.8984
Testing Iteration===>28, Acc ====>0.9687
Testing Iteration===>29, Acc ====>0.9453
Testing Iteration===>30, Acc ====>0.9453
Testing Iteration===>31, Acc ====>0.9453
Testing Iteration===>32, Acc ====>0.9531
Testing Iteration===>33, Acc ====>0.9687
Testing Iteration===>34, Acc ====>0.9844
Testing Iteration===>35, Acc ====>0.9766
Testing Iteration===>36, Acc ====>0.9766
Testing Iteration===>37, Acc ====>0.9687
Testing Iteration===>38, Acc ====>0.9375
Testing Iteration===>39, Acc ====>0.9687
Testing Iteration===>40, Acc ====>0.9687
Testing Iteration===>41, Acc ====>0.9609
Testing Iteration===>42, Acc ====>0.9844
Testing Iteration===>43, Acc ====>0.9453
Testing Iteration===>44, Acc ====>0.9531
Testing Iteration===>45, Acc ====>0.9687
Testing Iteration===>46, Acc ====>0.9687
Testing Iteration===>47, Acc ====>0.9766
Testing Iteration===>48, Acc ====>0.9609
Testing Iteration===>49, Acc ====>0.9766
Testing Iteration===>50, Acc ====>0.9531
Testing Iteration===>51, Acc ====>0.9922
Testing Iteration===>52, Acc ====>0.9453
Testing Iteration===>53, Acc ====>0.9766
Testing Iteration===>54, Acc ====>0.9531
Testing Iteration===>55, Acc ====>0.9453
Testing Iteration===>56, Acc ====>0.9453
Testing Iteration===>57, Acc ====>0.9453
Testing Iteration===>58, Acc ====>0.9219
Testing Iteration===>59, Acc ====>0.9609
Testing Iteration===>60, Acc ====>0.9531
Testing Iteration===>61, Acc ====>0.9609
Testing Iteration===>62, Acc ====>0.9297
Testing Iteration===>63, Acc ====>0.9687
Testing Iteration===>64, Acc ====>0.9297
Testing Iteration===>65, Acc ====>0.9766
Testing Iteration===>66, Acc ====>0.9687
Testing Iteration===>67, Acc ====>0.9453
Testing Iteration===>68, Acc ====>0.9531
Testing Iteration===>69, Acc ====>0.9219
Testing Iteration===>70, Acc ====>0.9531
Testing Iteration===>71, Acc ====>0.9531
Testing Iteration===>72, Acc ====>0.9531
Testing Iteration===>73, Acc ====>0.9531
Testing Iteration===>74, Acc ====>0.9297
Testing Iteration===>75, Acc ====>0.9531
Testing Iteration===>76, Acc ====>0.9297
Testing Iteration===>77, Acc ====>0.9687

1. I have kept some images from MNIST inside the images folder.
2. To use this code, install opencv to read the image.
3. Run using :-

    python run_on_image.py images/img_4.png ./model_bn/

1. Number of Hidden Layers - 2
2. Hidden Layer Sizes - (1024,2048)
3. Learning Rate - 0.001
4. Batch Size - 128
5. Maximum Iterations for training - 1000000
6. Batch Norm Decay Rate - 0.9

1. Faster Convergence and better accuracy by using Batch Normalization before Relu operation. Please refere to the plots below.
2. Experiments with increasing the hidden layers and size might help us in finding a sweet spot where we are neither underfitting nor overfitting.