# classification

## The problem

We have 10000 images and 10 classes [ 'T-shirt/top' , 'Trouser' , 'Pullover' , 'Dress' , 'Coat' , 'Sandal' , 'Shirt' , 'Sneaker' , 'Bag' , 'Ankle boot' ].

Our model needs to classify the images based on the classes.

## Needed Libraries

Python
``````# Used for building our Neural Network
import tensorflow as tf
from tensorflow import keras

import numpy as np # Used for advanced maths
import matplotlib.pyplot as plt # Used for drawing charts``````

## Our dataset

The MNIST dataset is composed by:

• TRAIN set: 60000 images + 60000 labels (train_images + train_labels)
• TEST set: 10000 images + 10000 labels (test_images + test_labels)

Python
``````# download datasets
fashion_mnist = keras.datasets.fashion_mnist

(train_images, train_labels), (test_images, test_labels) = fashion_mnist.load_data()``````

Now we have the images! Check the train_images shape!

Python
``train_images.shape # (60'000, 28, 28)``

train_images contains 60'000 images made by 28x28 pixels. Let's print the first image!

Python
``````plt.figure() # create an empty box
plt.imshow(train_images) # add the first image from the dataset
plt.colorbar() # add the color bar
plt.grid(False) # do not display the grid
plt.show() # show everything

# print its class name, in this case 'Ankle boot'
class_names[ train_labels ]``````

We scale the values 0-255 to 0-1. Doing so can make the model converge faster.

Python
``````train_images = train_images / 255.0

test_images = test_images / 255.0``````

## Building The Model

Let's draw our Neural Network! "Sequential()" draws the Neural Network's Layers in the order we declare them!

Python
``````model = keras.Sequential([
keras.layers.Flatten(input_shape=(28, 28)), # Input Layer
keras.layers.Dense(128, activation='relu'), # Hidden Layer
keras.layers.Dense(10) # Output Layer
])``````

The Input Layer gets a "flattened" image of (28x28)pixels. This means that the image 28x28 gets translated into a vector of 784, and then passed as input to our Neural Network.

We create 128 neurons which will be Densely-Connected (or Fully-Connected) to our  previous Input Layer, using Dense(). We apply the Relu Activation Function.

We create another Layer that will have 10 neurons, Fully-Connected to our previous Hidden Layer. This will be our Output Layer, since it is the last.
This is made by 10 neurons since the classes are 10 and at the end the Neural Network gives out a vote: how much an image belongs to a class.

## Compile The Model

In this step, some settings are added: the optimizer, the loss function, the metrics.

Python
``````model.compile(optimizer='adam',
loss=tf.keras.losses.SparseCategoricalCrossentropy(from_logits=True),
metrics=['accuracy'])``````

Oh yes! We can now train our model!
For each train_images, there is a train_labels!
The model observes those associations for 10 epochs (It will go through the entire train dataset for 10 times).
In this way the model understands that "This it's called that", it is training itself!

Python
``model.fit(train_images, train_labels, epochs=10)``

## Evalute Your Model on New Observations

During the training, you can see in the console how the accuracy of the model is growing. The more you train, the stronger you are!
Let's see how does our model perform on new observations

Python
``````test_loss, test_acc = model.evaluate(test_images,  test_labels, verbose=2)

print('\nTest accuracy:', test_acc)``````

The accuracy on new observations is a little bit less.

This means that our model overfitted the training set.

It's like if you solve a maze and you get used to it until you know it, but on a new one, you kind of get lost.

## Predict the Cloth's Class Name

We trained our model, we evaluated its accuracy.
Let's make a prediction on a new observation: we have an image but the model doesn't know its class.

Our model has a 10 neurons ouput. Those neurons' outputs are logits.
Logits are a vector of raw (non-normalized) predictions that a classification model generates.

We apply a softmax function which generates a vector of (normalized) probabilities with one value for each possible class.

Python
``````# apply softmax function to model
probability_model = tf.keras.Sequential([model, tf.keras.layers.Softmax()])``````

Let's predict the labels for each test_images and what the model predicted for the first image:

Python
``````# predict labels for every image in test_images
predictions = probability_model.predict(test_images)
# print the model's first prediction
print(predictions)
np.argmax(predictions)
class_names[np.argmax(predictions)]``````

We compare our prediction with what REALLY the value is:

Python
``````# if np.argmax(predictions) is the same as this, the model is correct
test_labels``````

## Graph The First 15 Predictions

Python
``````def plot_image(i, predictions_array, true_label, img):
predictions_array, true_label, img = predictions_array, true_label[i], img[i]
plt.grid(False)
plt.xticks([])
plt.yticks([]) # remove x,y ticks

plt.imshow(img, cmap=plt.cm.binary) # show image in black and white

predicted_label = np.argmax(predictions_array)
if predicted_label == true_label:
color = 'blue' # if correct prediction, print blue
else:
color = 'red' # if wrong prediction, print red

# label on x axes format: predicted label % (real label)
plt.xlabel("{} {:2.0f}% ({})".format(class_names[predicted_label],
100*np.max(predictions_array),
class_names[true_label]),
color=color)

def plot_value_array(i, predictions_array, true_label):
predictions_array, true_label = predictions_array, true_label[i]
plt.grid(False)
plt.xticks(range(10)) # add ticks from 0 to 9
plt.yticks([]) # no ticks on y axes
thisplot = plt.bar(range(10), predictions_array, color="#777777")
plt.ylim([0, 1]) # set limits of current axes (bottom,top)
predicted_label = np.argmax(predictions_array)

thisplot[predicted_label].set_color('red')
thisplot[true_label].set_color('blue') # overwrites red

num_rows = 5
num_cols = 3
num_images = num_rows*num_cols
plt.figure(figsize=(2*2*num_cols, 2*num_rows))
for i in range(num_images):
plt.subplot(num_rows, 2*num_cols, 2*i+1)
plot_image(i, predictions[i], test_labels, test_images)
plt.subplot(num_rows, 2*num_cols, 2*i+2)
plot_value_array(i, predictions[i], test_labels)
plt.tight_layout() # extra padding around the figure border and between subplots
plt.show()``````

## Make a Single Prediction and Plot it

Let's take image index 1 from test_images, change its shape before inputting into our Neural Network because of format necessity: the model expects an array of matrixes.

Python
``````img = test_images
print(img.shape) # (28,28)

img = (np.expand_dims(img,0))
print(img.shape) # (1,28,28)

# make a single prediction
predictions_single = probability_model.predict(img)
print(predictions_single)``````

We print the model probabilities.

Python
``````# run those together, otherwise you'll encounter problems!

plot_value_array(1, predictions_single, test_labels)
_ = plt.xticks(range(10), class_names, rotation=45)``````

Python
``````# https://www.tensorflow.org/tutorials/keras/classification

# Copyright (c) 2017 François Chollet
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python spyder tensorflow mnist dataset keras 10 classes multiple classes image 