2. How to Use ReNomIMG API

2.1. Graph Comvolution

Graph comvolution is a method of applying CNN to non-image data. For applying CNN to non-image data, you have to convert input data to image like data. In this process, you can use a lot of metrics.

2.2. Convert data

For example, convert data using correlation between variables. At first, you calculate correlation matrix.

Then, get index of sorted correlation, and adopt k variables that is highest correlation per variables. So, convolute k variable that is adoped as one variable. k is hyper parameter.

2.3. Source Code

ReNomRG provide GraphCNN layer and utility functions that is to get index array.

import numpy as np
import matplotlib.pyplot as plt
from sklearn.datasets import load_boston
from sklearn.model_selection import train_test_split

import renom as rm
from renom.optimizer import Adam
from renom_rg.api.regression.gcnn import GraphCNN
from renom_rg.api.utility.feature_graph import get_corr_graph

# load example data
boston = load_boston()
X = boston.data
y = boston.target

# split train & prediction
X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2)

# setting hyper parameters
epoch = 100
batch_size = 16
num_neighbors = 5
channel = 10

# get top k index of sorted correlation.
index_matrix = get_corr_graph(X_train, num_neighbors)

model = rm.Sequential([
    GraphCNN(feature_graph=index_matrix, channel=channel, neighbors=num_neighbors),
    rm.Relu(),
    rm.Flatten(),
    rm.Dense(1)
])

optimizer = Adam()

# training loop
train_loss_list = []
valid_loss_list = []

for e in range(epoch):
    N = X_train.shape[0]
    perm = np.random.permutation(N)
    loss = 0
    total_batch = N // batch_size

    for j in range(total_batch):
        index = perm[j * batch_size: (j + 1) * batch_size]
        train_batch_x = X_train[index].reshape(-1, 1, X_train.shape[1], 1)
        train_batch_y = y_train[index]

        # Loss function
        model.set_models(inference=False)
        with model.train():
            batch_loss = rm.mse(model(train_batch_x), train_batch_y.reshape(-1, 1))

        # Back propagation
        grad = batch_loss.grad()

        # Update
        grad.update(optimizer)
        loss += batch_loss.as_ndarray()

    train_loss = loss / (N // batch_size)
    train_loss_list.append(train_loss)

    # validation
    model.set_models(inference=True)
    N = X_test.shape[0]

    valid_predicted = model(X_test.reshape(-1, 1, X_test.shape[1], 1))
    valid_loss = float(rm.mse(valid_predicted, y_test.reshape(-1, 1)))
    valid_loss_list.append(valid_loss)

    print("epoch: {}, valid_loss: {}".format(e, valid_loss))

plt.figure(figsize=(10, 4))
plt.plot(train_loss_list, label='loss')
plt.plot(valid_loss_list, label='test_loss', alpha=0.6)
plt.title('Learning curve')
plt.xlabel("Epoch")
plt.ylabel("MSE")
plt.legend()
plt.grid()
plt.show()
../_images/learning_curve.png

Graph convolution is a methods of appling convolution to non-image data. ReNomRG provide GraphCNN layer and utility functions that is to get index array.