基于可解释性深度学习的马铃薯叶病害检测

数据集来自kaggle文章,代码较为简单。

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import numpy as np # linear algebra
import pandas as pd # data processing, CSV file I/O (e.g. pd.read_csv)


# Input data files are available in the read-only "../input/" directory
# For example, running this (by clicking run or pressing Shift+Enter) will list all files under the input directory


import os
for dirname, _, filenames in os.walk('/kaggle/input'):
    for filename in filenames:
        print(os.path.join(dirname, filename))

Neural Network Model with TensorFlow and Keras for Classification

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import tensorflow as tf
from tensorflow.keras import models,layers
import matplotlib.pyplot as plt


BATCH_SIZE=32
IMAGE_SIZE=224
CHANNELS=3
EPOCHS=50

Loading Image Dataset for Training

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dataset=tf.keras.preprocessing.image_dataset_from_directory(
    "/kaggle/input/potato-dataset/PlantVillage",
    shuffle=True,
    image_size=(IMAGE_SIZE,IMAGE_SIZE),
    batch_size=BATCH_SIZE
)

Retrieving Class Names from the Dataset

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class_names=dataset.class_names
class_names

Data Visualization

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import os


Potato___Early_blight_dir = '/kaggle/input/potato-dataset/PlantVillage/Potato___Early_blight'
Potato___Late_blight_dir = '/kaggle/input/potato-dataset/PlantVillage/Potato___Late_blight'
Potato___healthy_dir = '/kaggle/input/potato-dataset/PlantVillage/Potato___healthy'
import matplotlib.pyplot as plt


# Define the categories and corresponding counts
categories = ['Early Leaf Blight','Late Leaf Blight','Healthy']
counts = [len(os.listdir(Potato___Early_blight_dir)), len(os.listdir(Potato___Late_blight_dir)), len(os.listdir(Potato___healthy_dir))]


# Create a bar plot to visualize the distribution of images
plt.figure(figsize=(12, 6))
plt.bar(categories, counts, color='skyblue')
plt.xlabel('Categories')
plt.ylabel('Number of Images')
plt.title('Distribution of Images in Different Categories')
plt.show()

Visualizing Sample Images from the Dataset

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plt.figure(figsize=(10,10))
for image_batch, labels_batch in dataset.take(1):
    print(image_batch.shape)
    print(labels_batch.numpy())
    for i in range(12):
        ax=plt.subplot(3,4,i+1)
        plt.imshow(image_batch[i].numpy().astype("uint8"))
        plt.title(class_names[labels_batch[i]])
        plt.axis("off")

Function to Split Dataset into Training and Validation Set

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def get_dataset_partitions_tf(ds, train_split=0.8, val_split=0.2, shuffle=True, shuffle_size=10000):
    assert(train_split+val_split)==1


    ds_size=len(ds)


    if shuffle:
        ds=ds.shuffle(shuffle_size, seed=12)


    train_size=int(train_split*ds_size)
    val_size=int(val_split*ds_size)


    train_ds=ds.take(train_size)
    val_ds=ds.skip(train_size).take(val_size)


    return train_ds, val_ds
train_ds, val_ds =get_dataset_partitions_tf(dataset)

Data Augmentation

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train_ds= train_ds.cache().shuffle(1000).prefetch(buffer_size=tf.data.AUTOTUNE)
val_ds= val_ds.cache().shuffle(1000).prefetch(buffer_size=tf.data.AUTOTUNE)
for image_batch, labels_batch in dataset.take(1):
    print(image_batch[0].numpy()/255)
pip install preprocessing
resize_and_rescale = tf.keras.Sequential([
    layers.Resizing(IMAGE_SIZE, IMAGE_SIZE),
    layers.Rescaling(1./255),
])
data_augmentation=tf.keras.Sequential([
    layers.RandomFlip("horizontal_and_vertical"),
    layers.RandomRotation(0.2),
])
n_classes=3

Our own Convolutional Neural Network (CNN) for Image Classification

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input_shape=(BATCH_SIZE, IMAGE_SIZE,IMAGE_SIZE,CHANNELS)
n_classes=3


model_1= models.Sequential([
    resize_and_rescale,
    data_augmentation,
    layers.Conv2D(32, kernel_size=(3,3), activation='relu', input_shape=input_shape),
    layers.MaxPooling2D((2,2)),
    layers.Conv2D(64, kernel_size=(3,3), activation='relu'),
    layers.MaxPooling2D((2,2)),
    layers.Conv2D(64, kernel_size=(3,3), activation='relu'),
    layers.MaxPooling2D((2,2)),
    layers.Conv2D(64, (3,3), activation='relu'),
    layers.MaxPooling2D((2,2)),
    layers.Conv2D(64, (3,3), activation='relu'),
    layers.MaxPooling2D((2,2)),
    layers.Conv2D(128, (3,3), activation='relu'),
    layers.MaxPooling2D((2,2)),
    layers.Flatten(),
    layers.Dense(256,activation='relu'),
    layers.Dense(n_classes, activation='softmax'),
])
model_1.build(input_shape=input_shape)
model_1.summary()
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model_1.compile(
    optimizer='adam',
    loss=tf.keras.losses.SparseCategoricalCrossentropy(from_logits=False),
    metrics=['accuracy']
)
history=model_1.fit(
    train_ds,
    batch_size=BATCH_SIZE,
    validation_data=val_ds,
    verbose=1,
    epochs=50
)
scores=model_1.evaluate(val_ds)

Training History Metrics Extraction

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acc=history.history['accuracy']
val_acc=history.history['val_accuracy']


loss=history.history['loss']
val_loss=history.history['val_loss']
history.history['accuracy']

Training History Visualization

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EPOCHS=50
plt.figure(figsize=(20,8))
plt.subplot(1,2,1)
plt.plot(range(EPOCHS), acc, label='Training Accuracy')
plt.plot(range(EPOCHS), val_acc, label='Validation Accuracy')
plt.legend(loc='lower right')
plt.title('Training and Validation Accuracy')


plt.subplot(1, 2, 2)
plt.plot(range(EPOCHS), loss, label='Training Loss')
plt.plot(range(EPOCHS), val_loss, label='Validation Loss')
plt.legend(loc='upper right')
plt.title('Training and Validation Loss')
plt.show()

Prediction of Image Labels from Validation Dataset

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import numpy as np
for images_batch, labels_batch in val_ds.take(1):
  first_image=images_batch[0].numpy().astype("uint8")
  print("First image to predict")
  plt.imshow(first_image)
  print("Actual Label:",class_names[labels_batch[0].numpy()])


  batch_prediction = model_1.predict(images_batch)
  print("Predicted Label:",class_names[np.argmax(batch_prediction[0])])
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def predict(model, img):
  img_array=tf.keras.preprocessing.image.img_to_array(images[i].numpy())
  img_array=tf.expand_dims(img_array,0) #create a batch


  predictions=model.predict(img_array)


  predicted_class=class_names[np.argmax(predictions[0])]
  confidence=round(100*(np.max(predictions[0])),2)
  return predicted_class, confidence
plt.figure(figsize=(15,15))
for images, labels in val_ds.take(1):
  for i in range(1):
    ax=plt.subplot(3,3,i+1)
    plt.imshow(images[i].numpy().astype("uint8"))
    predicted_class, confidence=predict(model_1, images[i].numpy())


    actual_class=class_names[labels[i]]
    plt.title(f"Actual: {actual_class}, \n Predicted: {predicted_class}. \n Confidence: {confidence}%")
    plt.axis("off")
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plt.figure(figsize=(15,15))
for images, labels in val_ds.take(1):
  for i in range(9):
    ax=plt.subplot(3,3,i+1)
    plt.imshow(images[i].numpy().astype("uint8"))
    predicted_class, confidence=predict(model_1, images[i].numpy())


    actual_class=class_names[labels[i]]
    plt.title(f"Actual: {actual_class}, \n Predicted: {predicted_class}. \n Confidence: {confidence}%")
    plt.axis("off")

Saving the TensorFlow Model

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from tensorflow.keras.models import save_model


# Save the TensorFlow model in .h5 format


# With this line
model_1.save('/kaggle/working/model_potato_50epochs_99%acc.keras')

Evaluating Model Predictions on Validation Dataset

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# Initialize lists to store the results
y_true = []
y_pred = []


# Iterate over the validation dataset
for images, labels in val_ds:
    # Get the model's predictions
    predictions = model_1.predict(images)


    # Get the indices of the maximum values along an axis using argmax
    pred_labels = np.argmax(predictions, axis=1)


    # Extend the 'y_true' and 'y_pred' lists
    y_true.extend(labels.numpy())
    y_pred.extend(pred_labels)


# Convert lists to numpy arrays
y_true = np.array(y_true)
y_pred = np.array(y_pred)

Evaluation Metrics Calculation

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from sklearn.metrics import accuracy_score, precision_score, recall_score, f1_score


# Calculate metrics
accuracy = accuracy_score(y_true, y_pred)
precision = precision_score(y_true, y_pred, average='weighted')
recall = recall_score(y_true, y_pred, average='weighted')
f1 = f1_score(y_true, y_pred, average='weighted')


print(f'Accuracy: {accuracy}')  # (accuracy = (TP+TN)/(TP+FP+TN+FN))
print(f'Precision: {precision}')  # (precision = TP/(TP+FP))
print(f'Recall: {recall}')  # (recall = TP/(TP+FN))
print(f'F1 Score: {f1}')  # (f1 score = 2/((1/Precision)+(1/Recall)))

Visualization of Confusion Matrix

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import seaborn as sns
from sklearn.metrics import confusion_matrix
import matplotlib.pyplot as plt


# Assuming y_true and y_pred are defined
cm = confusion_matrix(y_true, y_pred)
plt.figure(figsize=(10, 10))
sns.heatmap(cm, annot=True, fmt='d', cmap='Blues')
plt.xlabel('Predicted labels')
plt.ylabel('True labels')
plt.title('Confusion Matrix')
plt.show()

ROC Curve

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from sklearn.metrics import roc_curve, auc
from sklearn.preprocessing import LabelBinarizer
import matplotlib.pyplot as plt


# Binarize the output
lb = LabelBinarizer()
lb.fit(y_true)
y_test = lb.transform(y_true)
y_pred = lb.transform(y_pred)


n_classes = y_test.shape[1]


# Compute ROC curve and ROC area for each class
fpr = dict()
tpr = dict()
roc_auc = dict()
for i in range(n_classes):
    fpr[i], tpr[i], _ = roc_curve(y_test[:, i], y_pred[:, i])
    roc_auc[i] = auc(fpr[i], tpr[i])


# Plot all ROC curves
plt.figure()
for i in range(n_classes):
    plt.plot(fpr[i], tpr[i],
             label='ROC curve of class {0} (area = {1:0.2f})'
             ''.format(i, roc_auc[i]))


plt.plot([0, 1], [0, 1], 'k--')
plt.xlim([0.0, 1.0])
plt.ylim([0.0, 1.05])
plt.xlabel('False Positive Rate')
plt.ylabel('True Positive Rate')
plt.title('Receiver Operating Characteristic to Multi-Class')
plt.legend(loc="lower right")
plt.show()

AUC Score

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from sklearn.metrics import roc_auc_score


# Assuming y_true and y_pred are defined
# 'ovo' stands for One-vs-One
# 'macro' calculates metrics for each label, and finds their unweighted mean
auc = roc_auc_score(y_true, y_pred, multi_class='ovo', average='macro')


print(f'AUC Score: {auc}')  # (AUC Score = Area Under the ROC Curve)

Saving the TensorFlow Model

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from tensorflow.keras.models import save_model


# Save the TensorFlow model in .h5 format


# With this line
model_1.save('/kaggle/working/model_potato_50epochs_99%acc1.keras')

CNN Architecture Specification of the Base Research Paper

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#Proposed Model in Research Paper
# activation units=64,128,256,512,512,4096,4096,1000
# kernel= 3,3
# max pooling =2,2
input_shape=(224,224,3)

Paper-Based CNN Model Architecture

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from tensorflow.keras import Input


model_paper = models.Sequential([
    Input(shape=input_shape),
    resize_and_rescale,
    data_augmentation,
    # conv1
    layers.Conv2D(64, kernel_size=(3,3), activation='relu'),
    layers.MaxPooling2D((2,2)),


    #conv2
    layers.Conv2D(128, kernel_size=(3,3), activation='relu'),
    layers.MaxPooling2D((2,2)),


    #conv3
    layers.Conv2D(256, kernel_size=(3,3), activation='relu'),
    layers.MaxPooling2D((2,2)),


    #conv4
    layers.Conv2D(512, (3,3), activation='relu'),
    layers.MaxPooling2D((2,2)),


    #conv5
    layers.Conv2D(512, (3,3), activation='relu'),
    layers.MaxPooling2D((2,2)),


    layers.Flatten(),
    layers.Dense(4096, activation='relu'),
    layers.Dense(4096, activation='relu'),
    layers.Dense(1000, activation='relu'),
    layers.Dense(n_classes, activation='softmax'),
])
model_paper.summary()

Compilation of the Paper-Based CNN Model

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model_paper.compile(
    optimizer='adam',
    loss=tf.keras.losses.SparseCategoricalCrossentropy(from_logits=False),
    metrics=['accuracy']
)

Training the Paper-Based CNN Model

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history_paper=model_paper.fit(
    train_ds,
    batch_size=BATCH_SIZE,
    validation_data=val_ds,
    verbose=1,
    epochs=50
)
scores_paper=model_paper.evaluate(val_ds)
acc=history_paper.history['accuracy']
val_acc=history_paper.history['val_accuracy']


loss=history_paper.history['loss']
val_loss=history_paper.history['val_loss']
history_paper.history['accuracy']

Visualization of Training and Validation Metrics of Base Paper Model

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EPOCHS=50
plt.figure(figsize=(20,8))
plt.subplot(1,2,1)
plt.plot(range(EPOCHS), acc, label='Training Accuracy')
plt.plot(range(EPOCHS), val_acc, label='Validation Accuracy')
plt.legend(loc='lower right')
plt.title('Training and Validation Accuracy')


plt.subplot(1, 2, 2)
plt.plot(range(EPOCHS), loss, label='Training Loss')
plt.plot(range(EPOCHS), val_loss, label='Validation Loss')
plt.legend(loc='upper right')
plt.title('Training and Validation Loss')
plt.show()

Prediction of Image Label from Validation Dataset

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import numpy as np
for images_batch, labels_batch in val_ds.take(1):
  first_image=images_batch[0].numpy().astype("uint8")
  print("First image to predict")
  plt.imshow(first_image)
  print("Actual Label:",class_names[labels_batch[0].numpy()])


  batch_prediction = model_paper.predict(images_batch)
  print("Predicted Label:",class_names[np.argmax(batch_prediction[0])])
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def predict(model, img):
  img_array=tf.keras.preprocessing.image.img_to_array(images[i].numpy())
  img_array=tf.expand_dims(img_array,0) #create a batch


  predictions=model.predict(img_array)


  predicted_class=class_names[np.argmax(predictions[0])]
  confidence=round(100*(np.max(predictions[0])),2)
  return predicted_class, confidence
plt.figure(figsize=(15,15))
for images, labels in val_ds.take(1):
  for i in range(1):
    ax=plt.subplot(3,3,i+1)
    plt.imshow(images[i].numpy().astype("uint8"))
    predicted_class, confidence=predict(model_paper, images[i].numpy())


    actual_class=class_names[labels[i]]
    plt.title(f"Actual: {actual_class}, \n Predicted: {predicted_class}. \n Confidence: {confidence}%")
    plt.axis("off")
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plt.figure(figsize=(15,15))
for images, labels in val_ds.take(1):
  for i in range(9):
    ax=plt.subplot(3,3,i+1)
    plt.imshow(images[i].numpy().astype("uint8"))
    predicted_class, confidence=predict(model_paper, images[i].numpy())


    actual_class=class_names[labels[i]]
    plt.title(f"Actual: {actual_class}, \n Predicted: {predicted_class}. \n Confidence: {confidence}%")
    plt.axis("off")

Saving the Tensorflow model of the base paper

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from tensorflow.keras.models import save_model


# Save the TensorFlow model in .h5 format


# With this line
model_paper.save('/kaggle/working/model_potato_basepaper.keras')
# Initialize lists to store the results
y_true = []
y_pred = []


# Iterate over the validation dataset
for images, labels in val_ds:
    # Get the model's predictions
    predictions = model_paper.predict(images)


    # Get the indices of the maximum values along an axis using argmax
    pred_labels = np.argmax(predictions, axis=1)


    # Extend the 'y_true' and 'y_pred' lists
    y_true.extend(labels.numpy())
    y_pred.extend(pred_labels)


# Convert lists to numpy arrays
y_true = np.array(y_true)
y_pred = np.array(y_pred)

Calculating Classification Metrics

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from sklearn.metrics import accuracy_score, precision_score, recall_score, f1_score


# Calculate metrics
accuracy = accuracy_score(y_true, y_pred)
precision = precision_score(y_true, y_pred, average='weighted')
recall = recall_score(y_true, y_pred, average='weighted')
f1 = f1_score(y_true, y_pred, average='weighted')


print(f'Accuracy: {accuracy}')
print(f'Precision: {precision}')
print(f'Recall: {recall}')
print(f'F1 Score: {f1}')

The provided code segment visualizes the confusion matrix using Seaborn's heatmap function

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import seaborn as sns
from sklearn.metrics import confusion_matrix
import matplotlib.pyplot as plt


# Assuming y_true and y_pred are defined
cm = confusion_matrix(y_true, y_pred)
plt.figure(figsize=(10, 10))
sns.heatmap(cm, annot=True, fmt='d', cmap='Blues')
plt.xlabel('Predicted labels')
plt.ylabel('True labels')
plt.title('Confusion Matrix')
plt.show()
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from sklearn.metrics import roc_curve, auc
from sklearn.preprocessing import LabelBinarizer
import matplotlib.pyplot as plt


# Binarize the output
lb = LabelBinarizer()
lb.fit(y_true)
y_test = lb.transform(y_true)
y_pred = lb.transform(y_pred)


n_classes = y_test.shape[1]


# Compute ROC curve and ROC area for each class
fpr = dict()
tpr = dict()
roc_auc = dict()
for i in range(n_classes):
    fpr[i], tpr[i], _ = roc_curve(y_test[:, i], y_pred[:, i])
    roc_auc[i] = auc(fpr[i], tpr[i])


# Plot all ROC curves
plt.figure()
for i in range(n_classes):
    plt.plot(fpr[i], tpr[i],
             label='ROC curve of class {0} (area = {1:0.2f})'
             ''.format(i, roc_auc[i]))


plt.plot([0, 1], [0, 1], 'k--')
plt.xlim([0.0, 1.0])
plt.ylim([0.0, 1.05])
plt.xlabel('False Positive Rate')
plt.ylabel('True Positive Rate')
plt.title('Receiver Operating Characteristic to Multi-Class')
plt.legend(loc="lower right")
plt.show()
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from sklearn.metrics import roc_auc_score


# Assuming y_true and y_pred are defined
# 'ovo' stands for One-vs-One
# 'macro' calculates metrics for each label, and finds their unweighted mean
auc = roc_auc_score(y_true, y_pred, multi_class='ovo', average='macro')


print(f'AUC Score: {auc}')  # (AUC Score = Area Under the ROC Curve)

Using Explainable AI to explain the predictions of our own CNN model,Taking an image and predicting it's class using our own CNN Model

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import numpy as np
import matplotlib.pyplot as plt


for images_batch, labels_batch in val_ds.take(1):
  first_image = images_batch[0].numpy().astype("uint8")
  print("First image to predict")
  plt.imshow(first_image)
  print("Actual Label:", class_names[labels_batch[0].numpy()])


  batch_prediction = model_1.predict(images_batch)
  top_3_pred_indices = np.argsort(batch_prediction[0])[-3:][::-1]
  top_3_pred_labels = [class_names[index] for index in top_3_pred_indices]
  top_3_pred_values = [batch_prediction[0][index] for index in top_3_pred_indices]
  top_3_pred_percentages = [value * 100 for value in top_3_pred_values]
  print("Top 3 Predicted Labels:", top_3_pred_labels)
  print("Top 3 Predicted Probabilities (%):", top_3_pred_percentages)


  # Plotting the top 3 predictions
  plt.figure(figsize=(6, 3))
  plt.bar(top_3_pred_labels, top_3_pred_percentages)
  plt.title('Top 3 Predictions')
  plt.xlabel('Classes')
  plt.ylabel('Prediction Probabilities (%)')
  plt.show()

Model Explainability with LIME (Local Interpretable Model-Agnostic Explanations)

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pip install lime

Setting up Lime for Image Explanation

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%load_ext autoreload
%autoreload 2
import os,sys
try:
    import lime
except:
    sys.path.append(os.path.join('..', '..')) # add the current directory
    import lime
from lime import lime_image
explainer = lime_image.LimeImageExplainer()
%%time
# Hide color is the color for a superpixel turned OFF. Alternatively, if it is NONE, the superpixel will be replaced by the average of its pixels
explanation = explainer.explain_instance(images_batch[0].numpy().astype('double'), model_1.predict, top_labels=3, hide_color=0, num_samples=1000)
from skimage.segmentation import mark_boundaries

Superpixel for the top most Prediction

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#here hide_rest is True
temp, mask = explanation.get_image_and_mask(explanation.top_labels[0], positive_only=True, num_features=3, hide_rest=True)
plt.imshow(mark_boundaries(temp / 2 + 0.5, mask))
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#here hide_rest is False
temp, mask = explanation.get_image_and_mask(explanation.top_labels[0], positive_only=True, num_features=10, hide_rest=False)
plt.imshow(mark_boundaries(temp / 2 + 0.5, mask))

Visualizing 'pros and cons'

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temp, mask = explanation.get_image_and_mask(explanation.top_labels[0], positive_only=False, num_features=10, hide_rest=False)
plt.imshow(mark_boundaries(temp / 2 + 0.5, mask))
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temp, mask = explanation.get_image_and_mask(explanation.top_labels[0], positive_only=False, num_features=1000, hide_rest=False, min_weight=0.1)
plt.imshow(mark_boundaries(temp / 2 + 0.5, mask))

Explaination Heatmap plot with weights

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#Select the same class explained on the figures above.
ind =  explanation.top_labels[0]


#Map each explanation weight to the corresponding superpixel
dict_heatmap = dict(explanation.local_exp[ind])
heatmap = np.vectorize(dict_heatmap.get)(explanation.segments)


#Plot. The visualization makes more sense if a symmetrical colorbar is used.
plt.imshow(heatmap, cmap = 'RdBu', vmin  = -heatmap.max(), vmax = heatmap.max())
plt.colorbar()

Second Prediction in the List

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temp, mask = explanation.get_image_and_mask(explanation.top_labels[1], positive_only=True, num_features=5, hide_rest=True)
plt.imshow(mark_boundaries(temp / 2 + 0.5, mask))

Rest of the image from the second prediction i.e. top_labels1

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temp, mask = explanation.get_image_and_mask(explanation.top_labels[1], positive_only=True, num_features=5, hide_rest=False)
plt.imshow(mark_boundaries(temp / 2 + 0.5, mask))

Visualizing 'pros and cons'

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temp, mask = explanation.get_image_and_mask(explanation.top_labels[1], positive_only=False, num_features=10, hide_rest=False)
plt.imshow(mark_boundaries(temp / 2 + 0.5, mask))
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temp, mask = explanation.get_image_and_mask(explanation.top_labels[1], positive_only=False, num_features=1000, hide_rest=False, min_weight=0.1)
plt.imshow(mark_boundaries(temp / 2 + 0.5, mask))
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#Select the same class explained on the figures above.
ind =  explanation.top_labels[1]


#Map each explanation weight to the corresponding superpixel
dict_heatmap = dict(explanation.local_exp[ind])
heatmap = np.vectorize(dict_heatmap.get)(explanation.segments)


#Plot. The visualization makes more sense if a symmetrical colorbar is used.
plt.imshow(heatmap, cmap = 'RdBu', vmin  = -heatmap.max(), vmax = heatmap.max())
plt.colorbar()
复制代码
from lime import lime_image
explainer = lime_image.LimeImageExplainer()
explanation = explainer.explain_instance(images_batch[0].numpy().astype('double'), model_1.predict,top_labels=3, hide_color=0, num_samples=1000)
from skimage.segmentation import mark_boundaries


temp_1, mask_1 = explanation.get_image_and_mask(explanation.top_labels[0], positive_only=True, num_features=5, hide_rest=True)
temp_2, mask_2 = explanation.get_image_and_mask(explanation.top_labels[0], positive_only=False, num_features=10, hide_rest=False)


fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(15,15))
ax1.imshow(mark_boundaries(temp_1, mask_1))
ax2.imshow(mark_boundaries(temp_2, mask_2))
ax1.axis('off')
ax2.axis('off')


plt.savefig('mask_default.png')

工学博士,担任《Mechanical System and Signal Processing》《中国电机工程学报》《控制与决策》等期刊审稿专家,擅长领域:现代信号处理,机器学习,深度学习,数字孪生,时间序列分析,设备缺陷检测、设备异常检测、设备智能故障诊断与健康管理PHM等。

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