1-Bit, color snapping, and pluality vote accuracies
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@ -4,6 +4,7 @@ import torch.nn.functional as F
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import torch.optim as optim
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from torchvision import datasets, transforms
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import numpy as np
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from scipy import stats
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import matplotlib.pyplot as plt
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import cv2
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from mnist import Net
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@ -69,12 +70,14 @@ def test(model, device, test_loader, epsilon):
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# Original dataset correct classifications
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orig_correct = 0
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# Attacked dataset correct classifications
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attacked_correct = 0
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unfiltered_correct = 0
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kuwahara_correct = 0
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bilateral_correct = 0
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gaussian_blur_correct = 0
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random_noise_correct = 0
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attacked_snap_color_correct = 0
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snap_color_correct = 0
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one_bit_correct = 0
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plurality_correct = 0
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adv_examples = []
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@ -111,30 +114,35 @@ def test(model, device, test_loader, epsilon):
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bilateral_data = filtered(perturbed_data_normalized, len(perturbed_data_normalized), filter="bilateral")
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gaussian_blur_data = filtered(perturbed_data_normalized, len(perturbed_data_normalized), filter="gaussian_blur")
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random_noise_data = filtered(perturbed_data_normalized, len(perturbed_data_normalized), filter="noise")
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attacked_snap_color_data = filtered(perturbed_data_normalized, len(perturbed_data_normalized), filter="snap_color")
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snap_color_data = filtered(perturbed_data_normalized, len(perturbed_data_normalized), filter="snap_color")
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one_bit_data = filtered(perturbed_data_normalized, len(perturbed_data_normalized), filter="1-bit")
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# evaluate the model on the attacked and filtered images
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output_attacked = model(perturbed_data_normalized)
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output_unfiltered = model(perturbed_data_normalized)
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output_kuwahara = model(kuwahara_data)
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output_bilateral = model(bilateral_data)
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output_gaussian_blur = model(gaussian_blur_data)
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output_random_noise = model(random_noise_data)
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output_attacked_snap = model(attacked_snap_color_data)
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output_snap_color = model(snap_color_data)
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output_one_bit = model(one_bit_data)
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# Get the predicted class from the model for each case
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attacked_pred = output_attacked.max(1, keepdim=True)[1]
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unfiltered_pred = output_unfiltered.max(1, keepdim=True)[1]
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kuwahara_pred = output_kuwahara.max(1, keepdim=True)[1]
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bilateral_pred = output_bilateral.max(1, keepdim=True)[1]
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gaussian_blur_pred = output_gaussian_blur.max(1, keepdim=True)[1]
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random_noise_pred = output_random_noise.max(1, keepdim=True)[1]
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attacked_snap_color_pred = output_attacked_snap.max(1, keepdim=True)[1]
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snap_color_pred = output_snap_color.max(1, keepdim=True)[1]
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one_bit_pred = output_one_bit.max(1, keepdim=True)[1]
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predictions = [unfiltered_pred.item(), kuwahara_pred.item(), bilateral_pred.item(), gaussian_blur_pred.item(), random_noise_pred.item(), snap_color_pred.item(), one_bit_pred.item()]
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plurality_pred = stats.mode(predictions)[0]
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# Count up correct classifications for each case
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if orig_pred.item() == target.item():
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orig_correct += 1
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if attacked_pred.item() == target.item():
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attacked_correct += 1
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if unfiltered_pred.item() == target.item():
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unfiltered_correct += 1
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if kuwahara_pred.item() == target.item():
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kuwahara_correct += 1
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@ -148,28 +156,38 @@ def test(model, device, test_loader, epsilon):
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if random_noise_pred.item() == target.item():
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random_noise_correct += 1
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if attacked_snap_color_pred.item() == target.item():
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attacked_snap_color_correct += 1
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if snap_color_pred.item() == target.item():
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snap_color_correct += 1
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if one_bit_pred.item() == target.item():
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one_bit_correct += 1
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if plurality_pred == target.item():
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plurality_correct += 1
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# Calculate the overall accuracy of each case
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orig_acc = orig_correct/float(len(test_loader))
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attacked_acc = attacked_correct/float(len(test_loader))
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unfiltered_acc = unfiltered_correct/float(len(test_loader))
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kuwahara_acc = kuwahara_correct/float(len(test_loader))
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bilateral_acc = bilateral_correct/float(len(test_loader))
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gaussian_blur_acc = gaussian_blur_correct/float(len(test_loader))
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random_noise_acc = random_noise_correct/float(len(test_loader))
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attacked_snap_color_acc = attacked_snap_color_correct/float(len(test_loader))
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snap_color_acc = snap_color_correct/float(len(test_loader))
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one_bit_acc = one_bit_correct/float(len(test_loader))
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plurality_acc = plurality_correct/float(len(test_loader))
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print(f"Epsilon: {epsilon}")
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print(f"====== EPSILON: {epsilon} ======")
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print(f"Clean (No Filter) Accuracy = {orig_correct} / {len(test_loader)} = {orig_acc}")
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print(f"Attacked (No Filter) Accuracy = {attacked_correct} / {len(test_loader)} = {attacked_acc}")
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print(f"Attacked (Kuwahara Filter) Accuracy = {kuwahara_correct} / {len(test_loader)} = {kuwahara_acc}")
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print(f"Attacked (Bilateral Filter) Accuracy = {bilateral_correct} / {len(test_loader)} = {bilateral_acc}")
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print(f"Attacked (Gaussian Blur) Accuracy = {gaussian_blur_correct} / {len(test_loader)} = {gaussian_blur_acc}")
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print(f"Attacked (Random Noise) Accuracy = {random_noise_correct} / {len(test_loader)} = {random_noise_acc}")
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print(f"Attacked (Snapped Color) Accuracy = {attacked_snap_color_correct} / {len(test_loader)} = {attacked_snap_color_acc}")
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print(f"Unfiltered Accuracy = {unfiltered_correct} / {len(test_loader)} = {unfiltered_acc}")
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print(f"Kuwahara Filter Accuracy = {kuwahara_correct} / {len(test_loader)} = {kuwahara_acc}")
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print(f"Bilateral Filter Accuracy = {bilateral_correct} / {len(test_loader)} = {bilateral_acc}")
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print(f"Gaussian Blur Accuracy = {gaussian_blur_correct} / {len(test_loader)} = {gaussian_blur_acc}")
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print(f"Random Noise Accuracy = {random_noise_correct} / {len(test_loader)} = {random_noise_acc}")
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print(f"Snapped Color Accuracy = {snap_color_correct} / {len(test_loader)} = {snap_color_acc}")
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print(f"1 Bit Accuracy = {one_bit_correct} / {len(test_loader)} = {one_bit_acc}")
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print(f"Plurality Vote Accuracy = {plurality_correct} / {len(test_loader)} = {plurality_acc}")
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return attacked_acc, kuwahara_acc, bilateral_acc, gaussian_blur_acc, random_noise_acc, attacked_snap_color_acc
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return unfiltered_acc, kuwahara_acc, bilateral_acc, gaussian_blur_acc, random_noise_acc, snap_color_acc, one_bit_acc, plurality_acc
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def filtered(data, batch_size=64, filter="kuwahara"):
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@ -210,7 +228,7 @@ def filtered(data, batch_size=64, filter="kuwahara"):
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elif filter == "bilateral":
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for i in range(batch_size):
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filtered_images[i] = cv2.bilateralFilter(images[i], 5, 50, 50).reshape(filtered_images[i].shape)
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elif filter == "snap_color":
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elif filter == "1-bit":
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num_colors = 2
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for i in range(batch_size):
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# If the channel contains any negative values, define the lowest negative value as black
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@ -228,36 +246,45 @@ def filtered(data, batch_size=64, filter="kuwahara"):
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filtered_images[i] = filtered_images[i].astype(int).astype(float)/num_colors
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if (min_value < 0):
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filtered_images[i] -= min_value
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elif filter == "snap_color":
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for i in range(batch_size):
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filtered_images[i] = (images[i]*4).astype(int).astype(float) / 4
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# Modify the data with the filtered image
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filtered_images = filtered_images.transpose(0,3,1,2)
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return torch.tensor(filtered_images).float()
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attacked_accuracies = []
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unfiltered_accuracies = []
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kuwahara_accuracies = []
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bilateral_accuracies = []
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gaussian_blur_accuracies = []
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random_noise_accuracies = []
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attacked_snap_color_accuracies = []
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snap_color_accuracies = []
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one_bit_accuracies = []
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pluality_vote_accuracies = []
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print(f"Model: {pretrained_model}")
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for eps in epsilons:
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aacc, kacc, bacc, gacc, nacc, sacc = test(model, device, test_loader, eps)
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attacked_accuracies.append(aacc)
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kuwahara_accuracies.append(kacc)
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bilateral_accuracies.append(bacc)
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gaussian_blur_accuracies.append(gacc)
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random_noise_accuracies.append(nacc)
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attacked_snap_color_accuracies.append(sacc)
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unfiltered_acc, kuwahara_acc, bilateral_acc, gaussian_blur_acc, random_noise_acc, snap_color_acc, one_bit_acc, plurality_acc = test(model, device, test_loader, eps)
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unfiltered_accuracies.append(unfiltered_acc)
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kuwahara_accuracies.append(kuwahara_acc)
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bilateral_accuracies.append(bilateral_acc)
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gaussian_blur_accuracies.append(gaussian_blur_acc)
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random_noise_accuracies.append(random_noise_acc)
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snap_color_accuracies.append(snap_color_acc)
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one_bit_accuracies.append(one_bit_acc)
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pluality_vote_accuracies.append(plurality_acc)
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# Plot the results
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plt.plot(epsilons, attacked_accuracies, label="Attacked Accuracy")
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plt.plot(epsilons, unfiltered_accuracies, label="Attacked Accuracy")
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plt.plot(epsilons, kuwahara_accuracies, label="Kuwahara Accuracy")
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plt.plot(epsilons, bilateral_accuracies, label="Bilateral Accuracy")
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plt.plot(epsilons, gaussian_blur_accuracies, label="Gaussian Blur Accuracy")
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plt.plot(epsilons, random_noise_accuracies, label="Random Noise Accuracy")
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plt.plot(epsilons, attacked_snap_color_accuracies, label="Snapped Color Accuracy")
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plt.plot(epsilons, snap_color_accuracies, label="Snapped Color Accuracy")
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plt.plot(epsilons, one_bit_accuracies, label="1-Bit Accuracy")
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plt.plot(epsilons, pluality_vote_accuracies, label="Plurality Vote Accuracy")
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plt.legend()
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plt.show()
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@ -46,64 +46,87 @@
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## Models Defended with Various Filters
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### Tabulated Results
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| $\epsilon$ | FGSM | Kuwahara | Bilateral | Gaussian Blur | Random Noise | Snapped Color |
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|------------|--------|----------|-----------|---------------|--------------|---------------|
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| 0.05 | 0.9600 | 0.8700 | 0.8902 | 0.9271 | 0.9603 | 0.9781 |
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| 0.10 | 0.8753 | 0.8123 | 0.8133 | 0.8516 | 0.8677 | 0.8818 |
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| 0.15 | 0.7229 | 0.7328 | 0.7098 | 0.7415 | 0.7153 | 0.8408 |
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| 0.20 | 0.5008 | 0.6301 | 0.5683 | 0.5983 | 0.4941 | 0.7496 |
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| 0.25 | 0.2922 | 0.5197 | 0.4381 | 0.4591 | 0.2843 | 0.4301 |
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| 0.30 | 0.1599 | 0.3981 | 0.3364 | 0.3481 | 0.1584 | 0.2091 |
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| $\epsilon$ | Unfiltered | Kuwahara | Bilateral | Gaussian Blur | Random Noise | Snapped Color | 1-Bit | Plurality |
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|------------|------------|----------|-----------|---------------|--------------|---------------|--------|-----------|
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| 0.00 | 0.992 | 0.9066 | 0.9391 | 0.9682 | 0.9911 | 0.9913 | 0.9722 | 0.9889 |
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| 0.05 | 0.9600 | 0.8700 | 0.8902 | 0.9271 | 0.9603 | 0.9781 | 0.8409 | 0.9600 |
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| 0.10 | 0.8753 | 0.8123 | 0.8133 | 0.8516 | 0.8677 | 0.8818 | 0.7919 | 0.8799 |
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| 0.15 | 0.7229 | 0.7328 | 0.7098 | 0.7415 | 0.7153 | 0.8408 | 0.7329 | 0.7879 |
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| 0.20 | 0.5008 | 0.6301 | 0.5683 | 0.5983 | 0.4941 | 0.7496 | 0.6794 | 0.6467 |
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| 0.25 | 0.2922 | 0.5197 | 0.4381 | 0.4591 | 0.2843 | 0.4301 | 0.6233 | 0.4721 |
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| 0.30 | 0.1599 | 0.3981 | 0.3364 | 0.3481 | 0.1584 | 0.2091 | 0. | |
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### Plotted Results
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![]()
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### Raw Program Output
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Epsilon: 0.05
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====== EPSILON: 0.0 ======
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Clean (No Filter) Accuracy = 9920 / 10000 = 0.992
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Attacked (No Filter) Accuracy = 9600 / 10000 = 0.96
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Attacked (Kuwahara Filter) Accuracy = 8700 / 10000 = 0.87
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Attacked (Bilateral Filter) Accuracy = 8902 / 10000 = 0.8902
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Attacked (Gaussian Blur) Accuracy = 9271 / 10000 = 0.9271
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Attacked (Random Noise) Accuracy = 9603 / 10000 = 0.9603
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Attacked (Snapped Color) Accuracy = 9781 / 10000 = 0.9781
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Epsilon: 0.1
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Unfiltered Accuracy = 9920 / 10000 = 0.992
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Kuwahara Filter Accuracy = 9066 / 10000 = 0.9066
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Bilateral Filter Accuracy = 9391 / 10000 = 0.9391
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Gaussian Blur Accuracy = 9682 / 10000 = 0.9682
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Random Noise Accuracy = 9911 / 10000 = 0.9911
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Snapped Color Accuracy = 9913 / 10000 = 0.9913
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1 Bit Accuracy = 9722 / 10000 = 0.9722
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Plurality Vote Accuracy = 9889 / 10000 = 0.9889
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====== EPSILON: 0.05 ======
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Clean (No Filter) Accuracy = 9920 / 10000 = 0.992
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Attacked (No Filter) Accuracy = 8753 / 10000 = 0.8753
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Attacked (Kuwahara Filter) Accuracy = 8123 / 10000 = 0.8123
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Attacked (Bilateral Filter) Accuracy = 8133 / 10000 = 0.8133
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Attacked (Gaussian Blur) Accuracy = 8516 / 10000 = 0.8516
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Attacked (Random Noise) Accuracy = 8677 / 10000 = 0.8677
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Attacked (Snapped Color) Accuracy = 8818 / 10000 = 0.8818
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Epsilon: 0.15000000000000002
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Unfiltered Accuracy = 9600 / 10000 = 0.96
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Kuwahara Filter Accuracy = 8700 / 10000 = 0.87
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Bilateral Filter Accuracy = 8902 / 10000 = 0.8902
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Gaussian Blur Accuracy = 9271 / 10000 = 0.9271
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Random Noise Accuracy = 9587 / 10000 = 0.9587
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Snapped Color Accuracy = 9781 / 10000 = 0.9781
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1 Bit Accuracy = 8409 / 10000 = 0.8409
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Plurality Vote Accuracy = 9600 / 10000 = 0.96
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====== EPSILON: 0.1 ======
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Clean (No Filter) Accuracy = 9920 / 10000 = 0.992
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Attacked (No Filter) Accuracy = 7229 / 10000 = 0.7229
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Attacked (Kuwahara Filter) Accuracy = 7328 / 10000 = 0.7328
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Attacked (Bilateral Filter) Accuracy = 7098 / 10000 = 0.7098
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Attacked (Gaussian Blur) Accuracy = 7415 / 10000 = 0.7415
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Attacked (Random Noise) Accuracy = 7153 / 10000 = 0.7153
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Attacked (Snapped Color) Accuracy = 8408 / 10000 = 0.8408
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Epsilon: 0.2
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Unfiltered Accuracy = 8753 / 10000 = 0.8753
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Kuwahara Filter Accuracy = 8123 / 10000 = 0.8123
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Bilateral Filter Accuracy = 8133 / 10000 = 0.8133
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Gaussian Blur Accuracy = 8516 / 10000 = 0.8516
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Random Noise Accuracy = 8696 / 10000 = 0.8696
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Snapped Color Accuracy = 8818 / 10000 = 0.8818
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1 Bit Accuracy = 7919 / 10000 = 0.7919
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Plurality Vote Accuracy = 8799 / 10000 = 0.8799
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====== EPSILON: 0.15000000000000002 ======
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Clean (No Filter) Accuracy = 9920 / 10000 = 0.992
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Attacked (No Filter) Accuracy = 5008 / 10000 = 0.5008
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Attacked (Kuwahara Filter) Accuracy = 6301 / 10000 = 0.6301
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Attacked (Bilateral Filter) Accuracy = 5683 / 10000 = 0.5683
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Attacked (Gaussian Blur) Accuracy = 5983 / 10000 = 0.5983
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Attacked (Random Noise) Accuracy = 4941 / 10000 = 0.4941
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Attacked (Snapped Color) Accuracy = 7496 / 10000 = 0.7496
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Epsilon: 0.25
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Unfiltered Accuracy = 7229 / 10000 = 0.7229
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Kuwahara Filter Accuracy = 7328 / 10000 = 0.7328
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Bilateral Filter Accuracy = 7098 / 10000 = 0.7098
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Gaussian Blur Accuracy = 7415 / 10000 = 0.7415
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Random Noise Accuracy = 7119 / 10000 = 0.7119
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Snapped Color Accuracy = 8408 / 10000 = 0.8408
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1 Bit Accuracy = 7329 / 10000 = 0.7329
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Plurality Vote Accuracy = 7879 / 10000 = 0.7879
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====== EPSILON: 0.2 ======
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Clean (No Filter) Accuracy = 9920 / 10000 = 0.992
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Attacked (No Filter) Accuracy = 2922 / 10000 = 0.2922
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Attacked (Kuwahara Filter) Accuracy = 5197 / 10000 = 0.5197
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Attacked (Bilateral Filter) Accuracy = 4381 / 10000 = 0.4381
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Attacked (Gaussian Blur) Accuracy = 4591 / 10000 = 0.4591
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Attacked (Random Noise) Accuracy = 2843 / 10000 = 0.2843
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Attacked (Snapped Color) Accuracy = 4301 / 10000 = 0.4301
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Epsilon: 0.3
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Unfiltered Accuracy = 5008 / 10000 = 0.5008
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Kuwahara Filter Accuracy = 6301 / 10000 = 0.6301
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Bilateral Filter Accuracy = 5683 / 10000 = 0.5683
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Gaussian Blur Accuracy = 5983 / 10000 = 0.5983
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Random Noise Accuracy = 4933 / 10000 = 0.4933
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Snapped Color Accuracy = 7496 / 10000 = 0.7496
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1 Bit Accuracy = 6794 / 10000 = 0.6794
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Plurality Vote Accuracy = 6467 / 10000 = 0.6467
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====== EPSILON: 0.25 ======
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Clean (No Filter) Accuracy = 9920 / 10000 = 0.992
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Attacked (No Filter) Accuracy = 1599 / 10000 = 0.1599
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Attacked (Kuwahara Filter) Accuracy = 3981 / 10000 = 0.3981
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Attacked (Bilateral Filter) Accuracy = 3364 / 10000 = 0.3364
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Attacked (Gaussian Blur) Accuracy = 3481 / 10000 = 0.3481
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Attacked (Random Noise) Accuracy = 1584 / 10000 = 0.1584
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Attacked (Snapped Color) Accuracy = 2091 / 10000 = 0.2091
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Unfiltered Accuracy = 2922 / 10000 = 0.2922
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Kuwahara Filter Accuracy = 5197 / 10000 = 0.5197
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Bilateral Filter Accuracy = 4381 / 10000 = 0.4381
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Gaussian Blur Accuracy = 4591 / 10000 = 0.4591
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Random Noise Accuracy = 2876 / 10000 = 0.2876
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Snapped Color Accuracy = 4301 / 10000 = 0.4301
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1 Bit Accuracy = 6233 / 10000 = 0.6233
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Plurality Vote Accuracy = 4721 / 10000 = 0.4721
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====== EPSILON: 0.30000000000000004 ======
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Clean (No Filter) Accuracy = 9920 / 10000 = 0.992
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Unfiltered Accuracy = 1599 / 10000 = 0.1599
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Kuwahara Filter Accuracy = 3981 / 10000 = 0.3981
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Bilateral Filter Accuracy = 3364 / 10000 = 0.3364
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Gaussian Blur Accuracy = 3481 / 10000 = 0.3481
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Random Noise Accuracy = 1560 / 10000 = 0.156
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Snapped Color Accuracy = 2091 / 10000 = 0.2091
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1 Bit Accuracy = 5462 / 10000 = 0.5462
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Plurality Vote Accuracy = 3312 / 10000 = 0.3312
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