From e68ff962d11584a1cb838748d639428160d55bc5 Mon Sep 17 00:00:00 2001 From: Ankush Kamboj Date: Sun, 5 Nov 2017 00:13:42 +0530 Subject: [PATCH 1/8] Nearest Neighbour Classifier *Contains two problems: >1 Classification of points >2 Digit classification --- Lab 1/Nearest Neighbour Classifier.ipynb | 274 +++++++++++++++++++++++ 1 file changed, 274 insertions(+) create mode 100644 Lab 1/Nearest Neighbour Classifier.ipynb diff --git a/Lab 1/Nearest Neighbour Classifier.ipynb b/Lab 1/Nearest Neighbour Classifier.ipynb new file mode 100644 index 0000000..5cf9e73 --- /dev/null +++ b/Lab 1/Nearest Neighbour Classifier.ipynb @@ -0,0 +1,274 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Nearest Neighbour Classifier\n", + "***\n", + "Among the various methods of supervised statistical pattern recognition, the Nearest Neighbour rule achieves consistently high performance, without a-priori assumptions about the distributions from which the training examples are drawn. A new sample is classified by calculating the distance to the nearest training case.\n", + "\n", + "This classifier is very rarely used in practice, but it will allow us to get an idea about the basic approach to an image classification problem.\n", + "\n", + "### Problem 1: Classifying Points\n", + "***\n", + "Given some data points (in 2D space) with their color labels, design a NN classifier to assign a color label to the test point.\n", + "\n", + "Given data points:\n", + "\n", + "|Sno| Coordinates| Color|\n", + "|:---:| :----------: | :----: |\n", + "|1. | (1, 1) | red |\n", + "|2. | (2, 2.5) | red |\n", + "|3. | (3, 1.2) | red |\n", + "|4. | (5.5, 6.3) | blue |\n", + "|5. | (6, 9) | blue |\n", + "|6. | (7, 6) | blue |\n", + "\n", + "Test data:\n", + "\n", + "|Sno| Coordinates| Color| True Value |\n", + "|:---:| :----------: | :----: |:----:|\n", + "|1. | (3, 4) | ? | red|\n", + "\n", + "\n", + "\n", + "\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The test data point belongs to class with color: red\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "# define training data\n", + "training_data = np.array([[1,1], [2,2.5], [3,1.2], [5.5,6.3], [6,9], [7,6]])\n", + "training_labels = ['red', 'red', 'red', 'blue', 'blue', 'blue']\n", + "\n", + "# define test data\n", + "test_data = [3, 4]\n", + "\n", + "# Plot the training and test points\n", + "plt.figure()\n", + "plt.scatter(training_data[:, 0], training_data[:, 1], color = training_labels[:], s = 170)\n", + "plt.scatter(test_data[0], test_data[1], color = 'green', s = 170)\n", + "plt.xlabel('X-axis')\n", + "plt.ylabel('Y-axis')\n", + "plt.title('Data Points')\n", + "plt.show()\n", + "\n", + "# define distance function\n", + "# L2 distance\n", + "def distance(a, b):\n", + " return np.sqrt(np.sum((a - b)**2))\n", + "\n", + "# Calculate the distance of test point from all the given data points\n", + "num = len(training_data)\n", + "dist = np.zeros(num)\n", + "for i in range(num):\n", + " dist[i] = distance(test_data, training_data[i])\n", + "\n", + "# Select the label of data point with minimum distance from test point\n", + "index = np.argmin(distance)\n", + "print('The test data point belongs to class with color: ', training_labels[index])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Problem 2: Classifying Images:\n", + "***\n", + "Design a NN classifier to correctly identify digits from a dataset of tens of thousands of handwritten images.\n", + "Define two cases with different number of data values for training the model and output the accuracy of the model in each case.\n", + "\n", + "**Given**: Use the [Digit dataset](http://scikit-learn.org/stable/auto_examples/datasets/plot_digits_last_image.html) : Sklearn is a Python modules for machine learning. This module comes with a few standard datasets, such as the digits dataset. This dataset is made up of 1797 8x8 images and contains two arrays _digits.images_ and _digits.target_.\n", + "\n", + "Case 1: 100 data vales as training data
\n", + "Case 2: 1000 data values as training data" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "from sklearn import datasets\n", + "digits = datasets.load_digits()\n", + "\n", + "# plot the first digit and print it's target value\n", + "plt.figure()\n", + "plt.imshow(digits.images[0], cmap = plt.cm.gray_r, interpolation = 'nearest')\n", + "plt.show()\n", + "print(digits.target[0])" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# define the distance function\n", + "# L2 distance\n", + "def distance(a, b):\n", + " return np.sqrt(np.sum((a - b)**2))\n", + "\n", + "# define an accuracy function\n", + "def accuracy(e, total = 100):\n", + " return str(100 - ((e / total) * 100)) + ' %'" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Accuracy: 86.0 %\n" + ] + } + ], + "source": [ + "# use first 100 images as training data\n", + "training_data = digits.data[0:100]\n", + "training_labels = digits.target[0:100]\n", + "\n", + "# define a distance vector and error count\n", + "num = len(training_data)\n", + "dist = np.zeros(num)\n", + "errors = 0\n", + "\n", + "# use random 100 values as testing data\n", + "for i in range(1597, 1697):\n", + " test_data = digits.data[i]\n", + " for j in range(num):\n", + " dist[j] = distance(test_data, training_data[j])\n", + " index = np.argmin(dist)\n", + " label = training_labels[index]\n", + " if label != digits.target[i]:\n", + " errors += 1\n", + "\n", + "print('Accuracy: {}'.format(accuracy(errors)))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Increasing the training data set from 100 data values to 1000 data values:" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Accuracy: 91.0 %\n" + ] + } + ], + "source": [ + "# use first 1000 images as training data\n", + "training_data = digits.data[0:1000]\n", + "training_labels = digits.target[0:1000]\n", + "\n", + "# define a distance vector and error count\n", + "num = len(training_data)\n", + "dist = np.zeros(num)\n", + "errors = 0\n", + "\n", + "# use random 100 values as testing data\n", + "for i in range(1597, 1697):\n", + " test_data = digits.data[i]\n", + " for j in range(num):\n", + " dist[j] = distance(test_data, training_data[j])\n", + " index = np.argmin(dist)\n", + " label = training_labels[index]\n", + " if label != digits.target[i]:\n", + " errors += 1\n", + "\n", + "print('Accuracy: {}'.format(accuracy(errors)))" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.5.2" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} From c36530c194b8d8fe5c801a81ac33ee612b2b44f1 Mon Sep 17 00:00:00 2001 From: Ankush Kamboj Date: Sun, 5 Nov 2017 00:46:54 +0530 Subject: [PATCH 2/8] Update README.md --- README.md | 18 ++++++++++++++++-- 1 file changed, 16 insertions(+), 2 deletions(-) diff --git a/README.md b/README.md index 7b7ec3c..91f24c3 100644 --- a/README.md +++ b/README.md @@ -1,5 +1,19 @@ -# Pattern-Recognition-Lab +# Pattern Recognition Lab Code for the PR lab course DTU -Lab 0 : Basic python tutorials +### Lab 0 : +1. [Basic Python tutorial](Lab%200/Python_tutorials.ipynb) +2. [Basic Numpy tutorial](Lab%200/Numpy_tutorial.ipynb) +3. [Basic SciPy functions](Lab%200/Basic%20SciPy%20Functions.ipynb) +4. [Basic Matplotlib tutorial](Lab%200/matplotlib_tutorial.ipynb) +*** +### Lab 1: +1. [Nearest Neighbour Classifier](Lab%201/Nearest%20Neighbour%20Classifier.ipynb) +*** + +## To Do: +- kNN Classifier +- kMeans +- NaiveBayes +- NaiveBayes NLP From c3dae4197bf534208a5f20886bf408422a71a547 Mon Sep 17 00:00:00 2001 From: Ankush Kamboj Date: Sun, 5 Nov 2017 19:15:00 +0530 Subject: [PATCH 3/8] kNN Classifier *Contains 3 problems: > Classifying Points > Digit Classification > Classification of Iris dataset --- Lab 1/Nearest Neighbour Classifier.ipynb | 4 +- Lab 1/images/boundaries.png | Bin 0 -> 1365051 bytes Lab 1/iris.data.csv | 151 +++++++ Lab 1/k-Nearest Neighbour Classifier.ipynb | 460 +++++++++++++++++++++ 4 files changed, 613 insertions(+), 2 deletions(-) create mode 100644 Lab 1/images/boundaries.png create mode 100644 Lab 1/iris.data.csv create mode 100644 Lab 1/k-Nearest Neighbour Classifier.ipynb diff --git a/Lab 1/Nearest Neighbour Classifier.ipynb b/Lab 1/Nearest Neighbour Classifier.ipynb index 5cf9e73..0ebb024 100644 --- a/Lab 1/Nearest Neighbour Classifier.ipynb +++ b/Lab 1/Nearest Neighbour Classifier.ipynb @@ -39,14 +39,14 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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b/Lab 1/k-Nearest Neighbour Classifier.ipynb @@ -0,0 +1,460 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# k-Nearest Neighbour Classifier\n", + "***\n", + "It is strange to only use the label of the nearest image when we wish to make a prediction. Indeed, it is almost always the case that one can do better by using what’s called a k-Nearest Neighbor Classifier. The idea is very simple: instead of finding the single closest image in the training set, we will find the top k closest images, and have them vote on the label of the test image. In particular, when k = 1, we recover the Nearest Neighbor classifier. Intuitively, higher values of k have a smoothing effect that makes the classifier more resistant to outliers:\n", + "![figure 1](./images/boundaries.png)\n", + "\n", + "k-NN is a type of instance-based learning, or lazy learning, where the function is only approximated locally and all computation is deferred until classification. A useful technique can be to assign weight to the contributions of the neighbors, so that the nearer neighbors contribute more to the average than the more distant ones. For example, a common weighting scheme consists in giving each neighbor a weight of 1/d, where d is the distance to the neighbor. A commonly used distance metric for continuous variables is Euclidean distance. For discrete variables, such as for text classification, another metric can be used, such as the overlap metric (or Hamming distance).\n", + "\n", + "## Validation sets for Hyperparameter tuning\n", + "***\n", + "The k-nearest neighbor classifier requires a setting for k. But what number works best? Additionally, we saw that there are many different distance functions we could have used: L1 norm, L2 norm, there are many other choices we didn’t even consider (e.g. dot products). These choices are called **hyperparameters** and they come up very often in the design of many Machine Learning algorithms that learn from data. It’s often not obvious what values/settings one should choose.\n", + "\n", + "We might be tempted to suggest that we should try out many different values and see what works best. But, doing this will result in _overfitting_ the testcase. **We cannot use the test set for the purpose of tweaking hyperparameters.** There is a correct way of tuning the hyperparameters and it does not touch the test set at all. The idea is to split our training set in two: a slightly smaller training set, and what we call a _validation set_.\n", + "***\n", + "\n", + "### Problem 1: Classifying Points\n", + "Given some data points (in 2D space) with their color labels, design a kNN classifier to assign a color label to the test point.\n", + "\n", + "Given data points:\n", + "\n", + "|Sno| Coordinates| Color|\n", + "|:---:| :----------: | :----: |\n", + "|1. | (1, 1) | red |\n", + "|2. | (2, 2.5) | red |\n", + "|3. | (3, 1.2) | red |\n", + "|4. | (5.5, 6.3) | blue |\n", + "|5. | (6, 9) | blue |\n", + "|6. | (7, 6) | blue |\n", + "\n", + "Test data:\n", + "\n", + "|Sno| Coordinates| Color| True Value |\n", + "|:---:| :----------: | :----: |:----:|\n", + "|1. | (3, 4) | ? | red|\n" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The given test point belongs to class with color: red\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "import operator\n", + "import matplotlib.pyplot as plt\n", + "\n", + "# define training data\n", + "training_data = np.array([[1,1], [2,2.5], [3,1.2], [5.5,6.3], [6,9], [7, 6]])\n", + "training_labels = ['red', 'red', 'red', 'blue', 'blue', 'blue']\n", + "\n", + "# define test data\n", + "test_data = [3, 4]\n", + "\n", + "# Plot the training and test points\n", + "plt.figure()\n", + "plt.scatter(training_data[:, 0], training_data[:, 1], color = training_labels[:], s = 170)\n", + "plt.scatter(test_data[0], test_data[1], color = 'green', s = 170)\n", + "plt.xlabel('X-axis')\n", + "plt.ylabel('Y-axis')\n", + "plt.title('Data Points')\n", + "plt.show()\n", + "\n", + "\n", + "# define distance function\n", + "def euclidian_distance(x, y):\n", + " return np.sqrt(np.sum((x - y)**2))\n", + "\n", + "# process of calculating the distance of test instance from all items of training set\n", + "# function that returns k nearest neighbors from the training set for a given test instance\n", + "def getNeighbours(trainingSet, testInstance, k):\n", + " distances = []\n", + " for i in range(len(trainingSet)):\n", + " dist = euclidian_distance(trainingSet[i], testInstance)\n", + " distances.append((trainingSet[i], training_labels[i], dist))\n", + " \n", + " # sort in accending order w.r.t distance\n", + " distances.sort(key = operator.itemgetter(2))\n", + " neighbours = []\n", + " \n", + " for i in range(k):\n", + " neighbours.append((distances[i][1], 1/distances[i][2]))\n", + " return neighbours\n", + "\n", + "\n", + "# Once we have located the most similar neighbors for a test instance, \n", + "# the next task is to devise a predicted response based on those neighbors.\n", + "# We can do this by allowing each neighbor to vote for their class attribute,\n", + "# and take the majority vote as the prediction.\n", + "# value of each vote depends upon its weight (calculated as 1/distance)\n", + "# Below provides a function for getting the majority voted response from a number of neighbors. \n", + "def getResponse(neighbours):\n", + " classVotes = {}\n", + " for x in range(len(neighbours)):\n", + " response = neighbours[x][0]\n", + " if response in classVotes:\n", + " classVotes[response] += 1 * neighbours[x][1]\n", + " else:\n", + " classVotes[response] = 1 * neighbours[x][1]\n", + " # sort the votes in decending order and take the label with maxm votes\n", + " sortedVotes = sorted(classVotes.items(), key=operator.itemgetter(1), reverse=True)\n", + " return sortedVotes[0][0]\n", + "\n", + "# using k = 3\n", + "neighbours = getNeighbours(training_data, test_data, 3)\n", + "print('The given test point belongs to class with color:', getResponse(neighbours))\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Problem 2: Classifying Images:\n", + "***\n", + "Design a kNN classifier to correctly identify digits from a dataset of tens of thousands of handwritten images.\n", + "Define two cases with different number of data values for training the model and output the accuracy of the model in each case.\n", + "\n", + "**Given**: Use the [Digit dataset](http://scikit-learn.org/stable/auto_examples/datasets/plot_digits_last_image.html) : Sklearn is a Python modules for machine learning. This module comes with a few standard datasets, such as the digits dataset. This dataset is made up of 1797 8x8 images and contains two arrays _digits.images_ and _digits.target_.\n", + "\n", + "Case 1: 100 data vales as training data
    \n", + "Case 2: 1000 data values as training data" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Accuracy for Case 1: 83.0\n", + "Accuracy for Case 2: 90.0\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "import operator\n", + "import matplotlib.pyplot as plt\n", + "\n", + "from sklearn import datasets\n", + "digits = datasets.load_digits()\n", + "\n", + "# Define the distance function:\n", + "def euclidian_distance(x, y):\n", + " return np.sqrt(np.sum((x - y)**2))\n", + "\n", + "# Define the accuracy function:\n", + "def getAccuracy(testInstance, predictions):\n", + " correct = 0\n", + " for i in range(len(testInstance)):\n", + " if str(testInstance[i]) == predictions[i]:\n", + " correct += 1\n", + " return (correct / float(len(testInstance))) * 100.0\n", + "\n", + "# process of calculating the distance of test instance from all items of training set\n", + "# function that returns k nearest neighbors from the training set for a given test instance\n", + "def getNeighbours(training_data, training_labels, testInstance, k):\n", + " distances = []\n", + " for i in range(len(training_data)):\n", + " dist = euclidian_distance(training_data[i], testInstance)\n", + " distances.append((training_data[i], training_labels[i], dist))\n", + " \n", + " # sort in accending order w.r.t distance\n", + " distances.sort(key = operator.itemgetter(2))\n", + " neighbours = []\n", + " \n", + " for i in range(k):\n", + " neighbours.append((distances[i][1], 1/distances[i][2]))\n", + " return neighbours\n", + "\n", + "# Once we have located the most similar neighbors for a test instance, \n", + "# the next task is to devise a predicted response based on those neighbors.\n", + "# We can do this by allowing each neighbor to vote for their class attribute,\n", + "# and take the majority vote as the prediction.\n", + "# value of each vote depends upon its weight (calculated as 1/distance)\n", + "# Below provides a function for getting the majority voted response from a number of neighbors. \n", + "def getResponse(neighbours):\n", + " classVotes = {}\n", + " for x in range(len(neighbours)):\n", + " response = str(neighbours[x][0])\n", + " if response in classVotes:\n", + " classVotes[response] += 1 * neighbours[x][1]\n", + " else:\n", + " classVotes[response] = 1 * neighbours[x][1]\n", + " # sort the votes in decending order and take the label with maxm votes\n", + " sortedVotes = sorted(classVotes.items(), key=operator.itemgetter(1), reverse=True)\n", + " return sortedVotes[0][0]\n", + "\n", + "# use fist 100 images as training data for case 1 and first 1000 images for case 2\n", + "training_data1 = digits.data[0:100]\n", + "training_labels1 = digits.target[0:100]\n", + "training_data2 = digits.data[0:1000]\n", + "training_labels2 = digits.target[0:1000]\n", + "\n", + "\n", + "# use random 100 values as test data\n", + "test_data = digits.data[1597:1697]\n", + "test_labels = digits.target[1597:1697]\n", + "\n", + "# using k = 5\n", + "predictions1 = []\n", + "predictions2 = []\n", + "for i in range(len(test_data)):\n", + " neighbours1 = getNeighbours(training_data1, training_labels1, test_data[i], 5)\n", + " neighbours2 = getNeighbours(training_data2, training_labels2, test_data[i], 5)\n", + " predictions1.append(getResponse(neighbours1))\n", + " predictions2.append(getResponse(neighbours2))\n", + " \n", + "print('Accuracy for Case 1:', getAccuracy(test_labels, predictions1))\n", + "print('Accuracy for Case 2:', getAccuracy(test_labels, predictions2))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Problem 3: Classification of Iris Dataset:\n", + "***\n", + "Fisher’s Iris data base (Fisher, 1936) is perhaps the best known\n", + "database to be found in the pattern recognition literature. The data\n", + "set contains 3 classes of 50 instances each, where each class refers\n", + "to a type of iris plant. One class is linearly separable from the other\n", + "two; the latter are not linearly separable from each other.\n", + "The data base contains the following attributes:
    \n", + "1. sepal length in cm\n", + "2. sepal width in cm\n", + "3. petal length in cm\n", + "4. petal width in cm\n", + "5. class:\n", + " - Iris Setosa\n", + " - Iris Versicolour\n", + " - Iris Virginica Design\n", + " \n", + "Design a kNN classifier to classify the given test spicies as belonging to one of the class" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Train set: 103\n", + "Test set: 47\n", + "1. predicted='Iris-setosa', actual='Iris-setosa'\n", + "2. predicted='Iris-setosa', actual='Iris-setosa'\n", + "3. predicted='Iris-setosa', actual='Iris-setosa'\n", + "4. predicted='Iris-setosa', actual='Iris-setosa'\n", + "5. predicted='Iris-setosa', actual='Iris-setosa'\n", + "6. predicted='Iris-setosa', actual='Iris-setosa'\n", + "7. predicted='Iris-setosa', actual='Iris-setosa'\n", + "8. predicted='Iris-setosa', actual='Iris-setosa'\n", + "9. predicted='Iris-setosa', actual='Iris-setosa'\n", + "10. predicted='Iris-setosa', actual='Iris-setosa'\n", + "11. predicted='Iris-setosa', actual='Iris-setosa'\n", + "12. predicted='Iris-setosa', actual='Iris-setosa'\n", + "13. predicted='Iris-setosa', actual='Iris-setosa'\n", + "14. predicted='Iris-setosa', actual='Iris-setosa'\n", + "15. predicted='Iris-setosa', actual='Iris-setosa'\n", + "16. predicted='Iris-versicolor', actual='Iris-versicolor'\n", + "17. predicted='Iris-versicolor', actual='Iris-versicolor'\n", + "18. predicted='Iris-versicolor', actual='Iris-versicolor'\n", + "19. predicted='Iris-versicolor', actual='Iris-versicolor'\n", + "20. predicted='Iris-versicolor', actual='Iris-versicolor'\n", + "21. predicted='Iris-virginica', actual='Iris-versicolor'\n", + "22. predicted='Iris-virginica', actual='Iris-versicolor'\n", + "23. predicted='Iris-versicolor', actual='Iris-versicolor'\n", + "24. predicted='Iris-versicolor', actual='Iris-versicolor'\n", + "25. predicted='Iris-virginica', actual='Iris-versicolor'\n", + "26. predicted='Iris-versicolor', actual='Iris-versicolor'\n", + "27. predicted='Iris-versicolor', actual='Iris-versicolor'\n", + "28. predicted='Iris-versicolor', actual='Iris-versicolor'\n", + "29. predicted='Iris-versicolor', actual='Iris-versicolor'\n", + "30. predicted='Iris-versicolor', actual='Iris-versicolor'\n", + "31. predicted='Iris-versicolor', actual='Iris-versicolor'\n", + "32. predicted='Iris-virginica', actual='Iris-virginica'\n", + "33. predicted='Iris-virginica', actual='Iris-virginica'\n", + "34. predicted='Iris-versicolor', actual='Iris-virginica'\n", + "35. predicted='Iris-virginica', actual='Iris-virginica'\n", + "36. predicted='Iris-virginica', actual='Iris-virginica'\n", + "37. predicted='Iris-virginica', actual='Iris-virginica'\n", + "38. predicted='Iris-virginica', actual='Iris-virginica'\n", + "39. predicted='Iris-virginica', actual='Iris-virginica'\n", + "40. predicted='Iris-virginica', actual='Iris-virginica'\n", + "41. predicted='Iris-virginica', actual='Iris-virginica'\n", + "42. predicted='Iris-virginica', actual='Iris-virginica'\n", + "43. predicted='Iris-virginica', actual='Iris-virginica'\n", + "44. predicted='Iris-virginica', actual='Iris-virginica'\n", + "45. predicted='Iris-virginica', actual='Iris-virginica'\n", + "46. predicted='Iris-virginica', actual='Iris-virginica'\n", + "47. predicted='Iris-virginica', actual='Iris-virginica'\n", + "Accuracy: 91.48936170212765%\n" + ] + } + ], + "source": [ + "import csv\n", + "import operator\n", + "import random\n", + "import numpy as np\n", + "\n", + "# Load the IRIS dataset csv file and convert the data into a list of lists (2D array),\n", + "# make sure the data file is in the current working directory\n", + "# Randomly split dataset to training and testing data\n", + "def loadDataset(filename, split, training_set=[], test_set=[]):\n", + " with open(filename, 'rt') as csvfile:\n", + " lines = csv.reader(csvfile)\n", + " dataset = list(lines)\n", + " \n", + " for i in range(len(dataset)-1):\n", + " for j in range(4):\n", + " dataset[i][j] = float(dataset[i][j])\n", + " \n", + " if random.random() < split:\n", + " training_set.append(dataset[i])\n", + " else:\n", + " test_set.append(dataset[i])\n", + " \n", + "# function to calculate euclidian distance between two point;\n", + "# this distance gives a measure of similarity between the two\n", + "def euclidianDistance(x, y):\n", + " return np.sqrt(np.sum((x - y)**2))\n", + "\n", + "# process of calculating the distance of test instance from all items of training set\n", + "# function that returns k nearest neighbors from the training set for a given test instance\n", + "def getNeighbours(training_set, test_instance, k):\n", + " distance = []\n", + " for i in range(len(training_set)):\n", + " dist = euclidianDistance(np.array(training_set[i][:-1]), np.array(test_instance[:-1]))\n", + " if dist == 0:\n", + " dist = 0.000000009\n", + " distance.append((training_set[i], dist))\n", + " \n", + " distance.sort(key=operator.itemgetter(1))\n", + " neighbours = []\n", + " for i in range(len(distance)):\n", + " neighbours.append((distance[i][0], 1/distance[i][1]))\n", + " return neighbours\n", + "\n", + "\n", + "# Once we have located the most similar neighbors for a test instance, \n", + "# the next task is to devise a predicted response based on those neighbors.\n", + "# We can do this by allowing each neighbor to vote for their class attribute,\n", + "# and take the majority vote as the prediction.\n", + "# value of each vote depends upon its weight (calculated as 1/distance)\n", + "# Below provides a function for getting the majority voted response from a number of neighbors. \n", + "def getResponse(neighbours):\n", + " classVotes = {}\n", + " for x in range(len(neighbours)):\n", + " response = neighbours[x][0][-1]\n", + " if response in classVotes:\n", + " classVotes[response] += 1 * neighbours[x][1]\n", + " else:\n", + " classVotes[response] = 1 * neighbours[x][1]\n", + " # sort the votes in decending order and take the label with maxm votes\n", + " sortedVotes = sorted(classVotes.items(), key=operator.itemgetter(1), reverse=True)\n", + " return sortedVotes[0][0]\n", + "\n", + "# Define the accuracy function:\n", + "def getAccuracy(test_set, predictions):\n", + " correct = 0\n", + " for i in range(len(test_set)):\n", + " if test_set[i][-1] == predictions[i]:\n", + " correct += 1\n", + " return (correct / len(test_set)) * 100.0\n", + "\n", + "def main():\n", + " # prepare data\n", + " training_set = []\n", + " test_set = []\n", + " # 2/3 for training and 1/3 for testing\n", + " split = 0.67\n", + " loadDataset('iris.data.csv', split, training_set, test_set)\n", + " print('Train set: ' + repr(len(training_set)))\n", + " print('Test set: ' + repr(len(test_set)))\n", + " # generate predictions\n", + " predictions = []\n", + " k = 3\n", + " for x in range(len(test_set)):\n", + " neighbours = getNeighbours(training_set, test_set[x], k)\n", + " result = getResponse(neighbours)\n", + " predictions.append(result)\n", + " print('{}. predicted='.format(x+1) + repr(result) + ', actual=' + repr(test_set[x][-1]))\n", + " accuracy = getAccuracy(test_set, predictions)\n", + " print('Accuracy: ' + repr(accuracy) + '%')\n", + " \n", + "\n", + "main()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Pros of kNN Classifier:\n", + "***\n", + "- It is very simple to implement and understand\n", + "- The classifier takes no time to train, since all that is required is to store and possibly index the training data\n", + "- Naturally handles multi-class cases. (_KNN works just as easily with multiclass data sets whereas other algorithms are hardcoded for the binary setting._)\n", + "- New training examples can be added easily. \n", + "- The non-parametric nature of KNN gives it an edge in certain settings where the data may be highly “unusual”.\n", + "\n", + "## Cons of kNN Classifier:\n", + "***\n", + "- Comparitively higher computational cost since classifying a test example requires a comparison to every single training example.\n", + "- Not appropriate for high-dimensional objects since distances over high-dimensional spaces can be very counter-intuitive (_The accuracy of KNN can be severely degraded with high-dimension data because there is little difference between the nearest and farthest neighbors._)\n", + "- KNN can suffer from skewed class distributions. For example, if a certain class is very frequent in the training set, it will tend to dominate the majority voting of the new example (large number = more common). " + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.5.2" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} From c536d009fe855f750e2ea57963ef90e4129a99dc Mon Sep 17 00:00:00 2001 From: Ankush Kamboj Date: Sun, 5 Nov 2017 19:21:08 +0530 Subject: [PATCH 4/8] Restuctured Dir --- Lab 0/Basic SciPy Functions.ipynb | 8 ++++---- Lab 0/{ => images}/bajrangbali | Bin Lab 0/{ => images}/bajrangbali_tinted.jpg | Bin Lab 0/matplotlib_tutorial.ipynb | 10 +++++----- 4 files changed, 9 insertions(+), 9 deletions(-) rename Lab 0/{ => images}/bajrangbali (100%) rename Lab 0/{ => images}/bajrangbali_tinted.jpg (100%) diff --git a/Lab 0/Basic SciPy Functions.ipynb b/Lab 0/Basic SciPy Functions.ipynb index 2453e11..0d4fd0a 100644 --- a/Lab 0/Basic SciPy Functions.ipynb +++ b/Lab 0/Basic SciPy Functions.ipynb @@ -34,7 +34,7 @@ "from scipy.misc import imread, imsave, imresize\n", "\n", "# Read an image into a numpy array\n", - "img = imread('bajrangbali')\n", + "img = imread('./images/bajrangbali')\n", "print(img.dtype, img.shape)\n", "\n", "# we can tint the image by by scaling each of the color channels by a different scalar constant.\n", @@ -47,7 +47,7 @@ "img_tinted = imresize(img_tinted, (300,300))\n", "\n", "# write the tinted image back to disc\n", - "imsave('bajrangbali_tinted.jpg', img_tinted)" + "imsave('./images/bajrangbali_tinted.jpg', img_tinted)" ] }, { @@ -56,11 +56,11 @@ "source": [ "### Original image:\n", "***\n", - "![screenshot](./bajrangbali)\n", + "![screenshot](./images/bajrangbali)\n", "***\n", "### Tinted and Resized:\n", "***\n", - "![screenshot2](./bajrangbali_tinted.jpg)\n", + "![screenshot2](./images/bajrangbali_tinted.jpg)\n", "***" ] }, diff --git a/Lab 0/bajrangbali b/Lab 0/images/bajrangbali similarity index 100% rename from Lab 0/bajrangbali rename to Lab 0/images/bajrangbali diff --git a/Lab 0/bajrangbali_tinted.jpg b/Lab 0/images/bajrangbali_tinted.jpg similarity index 100% rename from Lab 0/bajrangbali_tinted.jpg rename to Lab 0/images/bajrangbali_tinted.jpg diff --git a/Lab 0/matplotlib_tutorial.ipynb b/Lab 0/matplotlib_tutorial.ipynb index 32d3f0a..3103352 100644 --- a/Lab 0/matplotlib_tutorial.ipynb +++ b/Lab 0/matplotlib_tutorial.ipynb @@ -22,7 +22,7 @@ "data": { "image/png": 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z7dihttAye7axmWcG3Wt1Z+e5nZy9cdacAR2AdHeVxjyklMzYN4OBD+cxGsMB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\nNI7PkEZDCPILot/cfk6336ENhybXeHl4saDfAt5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ph6OLOKuzzv56hWvvLfPNB4f5k/UdjMUxIpaa1US4RWKlSPGOi86hAJQrMRIq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\ntHXy4L23kremOfa40/nB9bdSnhtjYM2JyMijXq3g2YpUNs3oV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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -152,7 +152,7 @@ "source": [ "from scipy.misc import imread, imresize\n", "\n", - "img = imread('./bajrangbali')\n", + "img = imread('./images/bajrangbali')\n", "img_tinted = img * [1, 0.55, 0.5]\n", "\n", "# show the original image\n", From e59d6f804d84fbc132d56a534a8d06f44de3f447 Mon Sep 17 00:00:00 2001 From: Ankush Kamboj Date: Sun, 5 Nov 2017 19:31:56 +0530 Subject: [PATCH 5/8] Update README.md --- README.md | 15 +++++++++++---- 1 file changed, 11 insertions(+), 4 deletions(-) diff --git a/README.md b/README.md index 91f24c3..e662d81 100644 --- a/README.md +++ b/README.md @@ -2,18 +2,25 @@ Code for the PR lab course DTU -### Lab 0 : +### Lab 0: +*** 1. [Basic Python tutorial](Lab%200/Python_tutorials.ipynb) 2. [Basic Numpy tutorial](Lab%200/Numpy_tutorial.ipynb) 3. [Basic SciPy functions](Lab%200/Basic%20SciPy%20Functions.ipynb) 4. [Basic Matplotlib tutorial](Lab%200/matplotlib_tutorial.ipynb) -*** + ### Lab 1: -1. [Nearest Neighbour Classifier](Lab%201/Nearest%20Neighbour%20Classifier.ipynb) *** +1. [Nearest Neighbour Classifier](Lab%201/Nearest%20Neighbour%20Classifier.ipynb) +2. [k-Nearest Neighbour Classifier](Lab%201/k-Nearest%20Neighbour%20Classifier.ipynb) ## To Do: -- kNN Classifier +- Histogram +- PCA - kMeans - NaiveBayes - NaiveBayes NLP +- Linear Regression +- SVM +- MLP +- Neural Network From 743ef02544056bde4b565e1e74bb0e457ae0705c Mon Sep 17 00:00:00 2001 From: Ankush Kamboj Date: Tue, 7 Nov 2017 18:54:12 +0530 Subject: [PATCH 6/8] Image Histogram: *Plot and analyse image histogram of two images --- Lab 2/Histogram.ipynb | 150 +++++++++++++++++++++++++++++++++++++++ Lab 2/images/bajrangbali | Bin 0 -> 922481 bytes Lab 2/images/stairs.jpg | Bin 0 -> 311380 bytes 3 files changed, 150 insertions(+) create mode 100644 Lab 2/Histogram.ipynb create mode 100644 Lab 2/images/bajrangbali create mode 100644 Lab 2/images/stairs.jpg diff --git a/Lab 2/Histogram.ipynb b/Lab 2/Histogram.ipynb new file mode 100644 index 0000000..34d3434 --- /dev/null +++ b/Lab 2/Histogram.ipynb @@ -0,0 +1,150 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Histogram:\n", + "***\n", + "A histogram is an accurate graphical representation of the distribution of numerical data. It is an estimate of the probability distribution of a continuous variable (quantitative variable) and was first introduced by Karl Pearson. It is a kind of bar graph.\n", + "\n", + "# Image Histogram:\n", + "***\n", + "An image histogram is a type of histogram that acts as a graphical representation of the tonal distribution in a digital image. It plots the number of pixels for each tonal value. By looking at the histogram for a specific image a viewer will be able to judge the entire tonal distribution at a glance.\n", + "\n", + "1. Histogram is a graphical representation of the intensity distribution of an image.\n", + "2. Histogram quantifies the number of pixels for each intensity value.\n", + "\n", + "We can consider histogram as a graph or plot, which gives you an overall idea about the intensity distribution of an image. It is a plot with pixel values (ranging from 0 to 255, not always) in X-axis and corresponding number of pixels in the image on Y-axis.\n", + "\n", + "It is just another way of understanding the image. By looking at the histogram of an image, we get intuition about contrast, brightness, intensity distribution etc of that image. Almost all image processing tools today, provides features on histogram. \n", + "\n", + "Both [_OpenCV_](https://docs.opencv.org/3.2.0/index.html) and [_Numpy_](http://www.numpy.org/) come with in-built function to find histograms. Before using those functions, we need to understand some terminologies related with histograms.\n", + "\n", + "\n", + "**Bins**: To construct a histogram, the first step is to \"bin\" the range of values—that is, divide the entire range of values into a series of intervals.\n", + "\n", + "**Dims**: It is the number of parameters for which we collect the data. \n", + "\n", + "**Range** : It is the range of intensity values you want to measure. Normally, it is [0,256], ie all intensity values.\n", + "\n", + "## Problem 1: \n", + "**Aim**: To get the histogram of an image using matplotlib.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Min: 0\n", + "Max: 255\n", + "Mean: 148.39576\n" + ] + }, + { + "data": { + "image/png": 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+5cDRicOHRrZyoCTL/noj7XNyd3ggB1BSUkJJciIG7SsguQhPMMxm8GDzVHLl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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from scipy import misc\n", + "from scipy import ndimage\n", + "\n", + "# mode can be one of the following strings:\n", + "# ‘L’ (8-bit pixels, black and white)\n", + "# ‘P’ (8-bit pixels, mapped to any other mode using a color palette)\n", + "# ‘RGB’ (3x8-bit pixels, true color)\n", + "# ‘RGBA’ (4x8-bit pixels, true color with transparency mask)\n", + "# ‘CMYK’ (4x8-bit pixels, color separation)\n", + "# ‘YCbCr’ (3x8-bit pixels, color video format)\n", + "# ‘I’ (32-bit signed integer pixels)\n", + "# ‘F’ (32-bit floating point pixels)\n", + "\n", + "image_1 = misc.imread('./images/stairs.jpg', mode='L')\n", + "image_2 = misc.imread('./images/bajrangbali', mode='L')\n", + "\n", + "hist_1, bin_edges_1 = np.histogram(image_1, bins='auto')\n", + "hist_2, bin_edges_2 = np.histogram(image_2, bins='auto')\n", + "bin_centers_1 = 0.5*(bin_edges_1[:1] + bin_edges_1[1:])\n", + "bin_centers_2 = 0.5*(bin_edges_2[:1] + bin_edges_2[1:])\n", + "\n", + "im_min_1 = image_1.min()\n", + "im_max_1 = image_1.max()\n", + "im_mean_1 = image_1.mean()\n", + "\n", + "print(\"Min: {}\".format(im_min_1))\n", + "print(\"Max: {}\".format(im_max_1))\n", + "print(\"Mean: {}\".format(im_mean_1))\n", + "\n", + "plt.plot(bin_centers_1, hist_1)\n", + "plt.show()\n", + "\n", + "im_min_2 = image_2.min()\n", + "im_max_2 = image_2.max()\n", + "im_mean_2 = image_2.mean()\n", + "\n", + "print(\"Min: {}\".format(im_min_2))\n", + "print(\"Max: {}\".format(im_max_2))\n", + "print(\"Mean: {}\".format(im_mean_2))\n", + "\n", + "plt.plot(bin_centers_2, hist_2)\n", + "plt.show()" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": 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2001 From: Ankush Kamboj Date: Tue, 7 Nov 2017 19:02:08 +0530 Subject: [PATCH 7/8] Update README.md --- README.md | 7 +++++-- 1 file changed, 5 insertions(+), 2 deletions(-) diff --git a/README.md b/README.md index e662d81..ac84a2b 100644 --- a/README.md +++ b/README.md @@ -1,6 +1,6 @@ # Pattern Recognition Lab -Code for the PR lab course DTU +Code for the PR lab course of DTU ### Lab 0: *** @@ -14,8 +14,11 @@ Code for the PR lab course DTU 1. [Nearest Neighbour Classifier](Lab%201/Nearest%20Neighbour%20Classifier.ipynb) 2. [k-Nearest Neighbour Classifier](Lab%201/k-Nearest%20Neighbour%20Classifier.ipynb) +### Lab 2: +*** +1. [Image Histogram](Lab%202/Histogram.ipynb) + ## To Do: -- Histogram - PCA - kMeans - NaiveBayes From 3e9720e1e4deb04cc399179682a6b4eaa927831f Mon Sep 17 00:00:00 2001 From: Ankush Kamboj Date: Tue, 7 Nov 2017 19:08:05 +0530 Subject: [PATCH 8/8] Added image preview --- Lab 2/Histogram.ipynb | 8 +++++++- 1 file changed, 7 insertions(+), 1 deletion(-) diff --git a/Lab 2/Histogram.ipynb b/Lab 2/Histogram.ipynb index 34d3434..973ddd6 100644 --- a/Lab 2/Histogram.ipynb +++ b/Lab 2/Histogram.ipynb @@ -29,7 +29,13 @@ "**Range** : It is the range of intensity values you want to measure. Normally, it is [0,256], ie all intensity values.\n", "\n", "## Problem 1: \n", - "**Aim**: To get the histogram of an image using matplotlib.\n" + "**Aim**: To get the histogram of an image using matplotlib.\n", + "\n", + "**Gven:**
    \n", + "Image 1:
    \n", + "![Image1](./images/stairs.jpg)
    \n", + "Image 2:
    \n", + "![Image2](./images/bajrangbali)" ] }, {