diff --git a/MLbyAdeeba.ipynb b/MLbyAdeeba.ipynb new file mode 100644 index 00000000..cdb50b2b --- /dev/null +++ b/MLbyAdeeba.ipynb @@ -0,0 +1,428 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "4afc6c1f", + "metadata": {}, + "source": [ + "# Introduction to Machine learning" + ] + }, + { + "attachments": { + "machine%20learning.png": { + "image/png": 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" + } + }, + "cell_type": "markdown", + "id": "531ab70c", + "metadata": {}, + "source": [ + "Machine learning is a branch of Artificial Intelligence which fouses mainly on the designing of systems,thereby allowing them to learn and make predictions based on some experience. \n", + "\n", + "\n", + "Machine learning is classified into the following types:-\n", + "\n", + "![machine%20learning.png](attachment:machine%20learning.png)\n" + ] + }, + { + "cell_type": "markdown", + "id": "503ddcd0", + "metadata": {}, + "source": [ + "# Supervised learning\n", + "\n", + "Supervised Learning works under supervision.the dataset that you have collected here is labelled and so you know what input needs to be mapped to what output. This helps you correct your program if there is some mistake.\n", + "\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "id": "1c9b9457", + "metadata": {}, + "source": [ + "In supervised learning, you train your model on a labelled dataset that means we have both input data as well as output data. We split our data into a training dataset and test dataset where the training dataset(like If shape of object is rounded and depression at top having color Red then it will be labeled as Apple.) is used to train our network whereas the test dataset acts as new data for predicting output or to see the accuracy of our model." + ] + }, + { + "attachments": { + "supervised%20learning.jpg": { + "image/jpeg": 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" + } + }, + "cell_type": "markdown", + "id": "a7e03dcf", + "metadata": {}, + "source": [ + "![supervised%20learning.jpg](attachment:supervised%20learning.jpg)" + ] + }, + { + "cell_type": "markdown", + "id": "dd959d12", + "metadata": {}, + "source": [ + "In this image above you can see that we are feeding inputs as an image of apples and bananas to the algorithm as a part of the algorithm we have a supervisor who keeps on checking and correcting the machine or who keeps on training the machines or keeps on telling him that yes it is an apple or it is an banana , things like teacher teaches his students because the teacher already knows the results." + ] + }, + { + "cell_type": "markdown", + "id": "f3bb0134", + "metadata": {}, + "source": [ + "# APPLICATION OF SUPERVISED LEARNING\n", + "\n", + "1) ***Spam Filteration*** - In this image above you can see that we are feeding inputs as an image of apples and bananas to the algorithm as a part of the algorithm we have a supervisor who keeps on checking and correcting the machine or who keeps on training the machines or keeps on telling him that yes it is an apple or it is an banana , things like teacher teaches his students because the teacher already knows the results.\n", + "\n" + ] + }, + { + "attachments": { + "SPAM.png": { + "image/png": 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" + } + }, + "cell_type": "markdown", + "id": "11549fdb", + "metadata": {}, + "source": [ + "![SPAM.png](attachment:SPAM.png)" + ] + }, + { + "cell_type": "markdown", + "id": "c617b796", + "metadata": {}, + "source": [ + "# Disadvantages of Supervised learning\n", + "\n", + "* Classifying big data is challenging. \n", + "* Training a SL requireds lots of data & lots of time. \n", + "* We required lots of train data for good examples. " + ] + }, + { + "cell_type": "markdown", + "id": "07d3768f", + "metadata": {}, + "source": [ + "# SUPERVISED LEARNING IS CLASSIFIED INTO:-\n", + "\n", + "***REGRESSION AND CLASSIFICATION***\n", + "\n", + "***REGRESSION*** - Regression analysis may be kind of predictive modelling technique which investigates the connection between a dependent and independent variable.\n", + "A regression analysis involves graphing a line over a group of information points that the majority closely fits the general shape of the info or regression showes the changes in variable on y-axis to changes within the variable quantity on the x-axis.\n", + "\n", + "***TYPES :-*** \n", + "* ***LINEAR REGRESSION*** \n", + "* ***LOGISTIC REGRESSION*** \n" + ] + }, + { + "attachments": { + "regression.png": { + "image/png": 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" + } + }, + "cell_type": "markdown", + "id": "14f9f7d5", + "metadata": {}, + "source": [ + "![regression.png](attachment:regression.png)" + ] + }, + { + "cell_type": "markdown", + "id": "96ff3f11", + "metadata": {}, + "source": [ + "* ***LINEAR REGRESSION*** - A Linear Regression is one of the easiest algorithm in ML. is a stastical model that attempts to\n", + "indicate the link between the 2 variable,input(X) & output(Y) with the equation.The Input variable is called the\n", + "Independent Variable and the Output variable is called the Dependent Variable.When unseen data is passed to the algorithm, it uses the function,\n", + "calculates and maps the input to a continuous value for the output.\n", + "\n", + "* ***LOGISTIC REGRESSION*** - Logistic Regression could be a method wont to predict a variable,given a collection of\n", + "independent variables,such that the variable is categorical.It does the prediction by mapping the unseen data to the \n", + "logit function that has been programmed into it. The algorithm predicts the probability of the new data then\n", + "it’s output lies between the range of 0 and 1." + ] + }, + { + "cell_type": "markdown", + "id": "c1b682ad", + "metadata": {}, + "source": [ + "# Classification\n", + "\n", + "* Classification is a process of categorizing a given set of knowledge into classes,,it can be performed on both structured\n", + "or not structured data.The process starts with predicting the class of given data points.The classes are often referred to as target,label or categories.\n", + "* The classification predicting modelling is the task of approximating the mapping function from input variables to discrete output variables.The main goal is to identify which class or category the new data will fall into." + ] + }, + { + "attachments": { + "classification.png": { + "image/png": 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" + } + }, + "cell_type": "markdown", + "id": "f5f355b1", + "metadata": {}, + "source": [ + "![classification.png](attachment:classification.png)" + ] + }, + { + "cell_type": "markdown", + "id": "87ab8af7", + "metadata": {}, + "source": [ + "# ALGORITHMS IN CLASSIFICATION\n", + "\n", + "* Decision tree.\n", + "* Logistic Regression.\n", + "* Artificial Neural Network.\n", + "* Random Forest.\n", + "* Stochastic Gradient Descent.\n", + "* Naive Bayes.\n", + "* Support Vector Machine.\n", + "* K-Nearest Neighbor.\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "id": "d0f51e71", + "metadata": {}, + "source": [ + "# UNSUPERVISED LEARNING\n", + "\n", + "The info collected here has no labels and you're undecided about the outputs. So you model your program such it can understand patterns from the input file and provides the desired answer(output)." + ] + }, + { + "cell_type": "markdown", + "id": "16d863e1", + "metadata": {}, + "source": [ + "* Labels are unknown. \n", + "* Finding hidden pattern in unlabeled data. \n", + "* Problem itself is ambiguous. " + ] + }, + { + "attachments": { + "un.jpg": { + "image/jpeg": 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" + } + }, + "cell_type": "markdown", + "id": "5b2b780e", + "metadata": {}, + "source": [ + "![un.jpg](attachment:un.jpg)" + ] + }, + { + "cell_type": "markdown", + "id": "cfc7a5f4", + "metadata": {}, + "source": [ + "So basically unsupervised learning can be taught of as self learning where there is no teacher and the algorithm confined previously unknown\n", + "pattern in dataset that does not have any sort of labels" + ] + }, + { + "cell_type": "markdown", + "id": "afe5960d", + "metadata": {}, + "source": [ + "# UNDERFITTING\n", + "\n", + "Underfitting occurs in data science where a data model is unable to capture the underlying trend of the data. It results in generating a high error rate on both the training set and unseen data. It occurs when a model is very simple(the input features are not expressive enough), which results in model needing more time for training, less regularization and more input features. when a model is underfitted, it will have training errors and poor performance. I" + ] + }, + { + "cell_type": "markdown", + "id": "73aa83f2", + "metadata": {}, + "source": [ + "# UNDERFITTING V/S OVERFITTING\n", + "\n", + "* In simple, overfitting is the opposite of underfitting. It occurs when the model is overtrained or it contains too much complexity, because of this it results in high error rates on test data. Overfitting a model is more common than underfitting one. \n", + "* As mentioned above, the model is underfitting when it performs poorly on the training data. This is because the model is unable to capture the relationship between the input examples and the target values accurately. \n", + "* The model is overfitting your training data when you see that the model performs well on the training data but does not perform well on the evaluation data. This is because the model is unable to generalize to unseen examples and memorizing the data it has seen. \n", + "* Underfitted models are usually easier to identify compared to overfitted ones as their behaviour can be seen while using training data set. " + ] + }, + { + "cell_type": "markdown", + "id": "7bdde568", + "metadata": {}, + "source": [ + "# How to avoid underfitting:-\n", + "\n", + "* Decrease regularization \n", + "* Increase the Duration of the training \n", + "* Feature Selection\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "id": "6a4e096d", + "metadata": {}, + "source": [ + "# OVERFITTING\n", + "\n", + "Over fitting is a term defined in machine learning which is used when a model is trained on a dataset so closely that it negatively impacts the performance of the model on a new dataset. \n", + "In Over fitting we try to train the data so much that it should match every point on the data set and with so much attributes and so much complex training model. So it creates a problem for new data points to fit in the model. The problem is that these concepts do not apply to new data and negatively impact the models ability to generalize." + ] + }, + { + "cell_type": "markdown", + "id": "f8007fe9", + "metadata": {}, + "source": [ + "# How to overcome Overfitting:-\n", + "\n", + "* Methods to overcome Overfitting \n", + "\n", + "* Cross-validation \n", + "* Remove features \n", + "* Early Stopping \n", + "* Regularization \n", + "* Ensembling \n", + "* Hold out \n", + "* Data Augmentation \n", + "* Drop out " + ] + }, + { + "cell_type": "markdown", + "id": "68277046", + "metadata": {}, + "source": [ + "# Consequences\n", + "\n", + "\n", + "\n", + "A function that is overfitted is likely to request more information about each item in the validation dataset than does the optimal function; gathering this additional unneeded data can be expensive or error-prone, especially if each individual piece of information must be gathered by human observation and manual data-entry.\n", + "\n", + "A more complex, overfitted function is likely to be less portable than a simple one. At one extreme, a one-variable linear regression is so portable that, if necessary, it could even be done by hand. At the other extreme are models that can be reproduced only by exactly duplicating the original modeler’s entire setup, making reuse or scientific reproduction difficult." + ] + }, + { + "cell_type": "markdown", + "id": "fdd4c6f2", + "metadata": {}, + "source": [ + "# Classification Problem Evaluation Metrics\n", + "\n", + "***CONFUSION MATRIX*** -\n", + "It can be generally used while dealing with multiclass classification. It is not like any other type of metrics in which we will get an integer to decide how efficient the model is, rather we deal with four set of values which are True Positive (TP), True Negative (TN), False Positive (FP), False Negative (FN)." + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "id": "c620c6ff", + "metadata": {}, + "source": [ + "Consider a dataset of pregnancy tests of a woman in which there are two classes : pregnant or not pregnant\n", + "\n", + "* TP - It indicates that the woman is actually pregnant and the model also predicts it correctly. \n", + "* FP - It indicates that the woman is actually not pregnant but the model predicts as pregnant. \n", + "* FN - It indicates that the woman is acutally pregnant but the model predicts as not pregnant. \n", + "* TN - It indicates that the woman is not pregnant and the model predicts it correctly as not pregnant. " + ] + }, + { + "attachments": { + "ll.png": { + "image/png": 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qRC8QeoGk9QLB2NQG9AKhF0haLxCJW16PXiD0AknrBYKpC2vRC4ReIGm9QDA3+Sl6gdALZC0vUMbipVU+eoHIkik16AVCL5ClvEBFg47O2eCjF4ikxlajFwi9QJbyAu1IchVeJKTu/HdHR3vzApGvxzxBLxB6gSzlBZoRPXnGPSBFs0Z+8ZI3LxDsHlaJXiD0AlnKCzRr+LWto4E0P8i9meTNC0QO9qtALxB6gSzlBdob67zyto9eIPi+dzl6gdALZCkvUO24z/sc9dELBBfeKUUvEHqBLOUFgqqycpuPXiCS9XoJeoHQCyStFwju/7UIvUDoBZLWC0TK/vgIvUDoBZLWC0TqfpuPXiD0AknrBQLnMzdd6AVCL5C0XiD48wUneoHQC2ROL5A2sMmWKGjCoMA5IQDI6xkO8WsQ4oWzczVGmGIwd3sq+Ipti3Pgu8Lpx0nIFWZ+oJbOukdMHSeA22xC1RO7Sww+2G93D6PU0RQh6vPpcfdLAdvIbjRnGjvVXIUUnO0IpXOSMnJFd4U8oKwQoo5eau/232rj/A983b8OF6XXgISCswNDOkZrZU6PdUEnYCAZVzwmAYQnAPDFcGT06ma24J42T+hzKkqvDlzZ7IBRnNPFAVsxY1UOvJyM0NZKOblCdUiBpoML2odAdHcRK1xo37OJCxpFlRK+fE9EupRQcIk3oKri6YJBKbnibWcxYiw+Jdzx14KkBjrQSsUcwRPXqa8mIeCi0hAAUW7CUhxFQNpaIJHmgU6gaN2gwJ8AkDq2Xp3iqqU2tIhFjxOmQ0sYbjKEcxWA7uuEtbn0eV8iKIYjhBKH0NYQxg6tjqWooWTnsGrnwFpCV9RRERdPnH4WQg27QsC15fLAF09bkgMfAgM6VCcjV/SdWETYFC+6YRz96CnoDLE9c1Vjw1XYGc/5SyJ7U7Ao18kHycwVjTKOa6bWVyOqFUIXX68G1rvLiKT1uHCeCkBCwdUwAOGChBbmIlMG6Bg0ZOEK0IcD2y3jLoemDJ+88bzt8Lrz/BN2bC+sxtLjGrV3SLhAmiAB510RoLGdycYV4lEOqq0FEoUTH/+6gjESaENuQu7hVY3mXJmQqGbGqhx7wVg9uqdaf20USBAGBUJa/jOPrrGhi0U9cSZCRNucQsA1q+EAYxCxJtf0RjFRETm5Qgh7rDIitc5EGCuaJVxnCYE/XHERel0Z/r4r5uyaJdzoyFgephtP2Dk3/eJ6tWXkviXCPHuBCHnjmFM80QbigQsliiQkXF2zjDAJJItzzHwJEmHEc5GCTi0QGwnqs90hkB9qpFwc5+39rNTSWE6diLSz2tqcKZLlu+Qk5QphFTLM+nWgngBq8Q+z+kLHgTV2uZ1LLhGBmJDnoFO9GQIurE0CkIPLOv4TcsXbXvHiBWo/MZKntgj63omg3Ac4VR9TsSJq3zaI8zFhvWXSrMVxzCMaAoHwbOkMnPLFcKAthgOydoQNtNF94Icf+pyL1BrPgauJAPbcsCjXDAmIzlBBHq4wS9bxy6pQUSChZKrzaNrXq1k0zgEiHv9QvWECbXoouM5aB2BxLh4YgMxc8VYkL8oDaJ7xwktNoJWTqYtT6XEAXmHL2YuM4qwrkC4XsjLHAY/+EIjNElOJxPYTgK1m5iuboeDXjcwazayaTI8TVqBLv67RnM2R8RUbVuXAmClFnhz5uAJUkzq9kmbnf521QFwbMBUPIgSa/rkSmHXICLM+vQ5nROkaf4ShnGjXvAG+DtaCnKmIZlXSsnJF0AnM1JCoZjjW58NGdn6bJVARgqhAhefs64Km5tooLvAoy8AxD6CZBAfBCwTkH0fQC4ReIGm9QACD1qEXCL1A0nqBCEydil4g9AJJ6wUCsm4geoHQCyStF4iQY6+iFwi9QNJ6gQBy/9OFXiD0AsnqBSKk7p9q0QuEXiBZvUCEkN/cRC8QeoFk9QIRQt7ah14g9AKZ3gvU0Oi4ffkp+OsFam2JWYheIPQCmd0LdG/h8WtJg1ZX+esFIoSsGIZeIPQCmd0LtH7IhQWTU9/N9dcLRAj57mX0AqEXyOxeoOSZD4anFb923V8vEAA8/KUDvUDoBTK5F2jLpwOGnUnpdttfLxAhpOWXj9ALhF4gk3uByr6Z/X3+sv31fnuBAMhLGegFQi+Qyb1AUJRXm7nhoctvLxAQGLYCvUDoBTK5F+jKoK0ZUd3jSv32AhFClo5ALxB6gUzuBUqZmJe0+HT3m357gYDAdy+hFwi9QCb3AiUn3xl8sLw9CuSXF4gQKPnXBvQCoRfI3F6gvT2eH3F+TPd7fnuBCJDG566iFwi9QOb2ArVc2nanZPNNu99eICBg6/8VeoHQC2RuLxDYG0oqm5zgtxcICNgXTUAvEHqBzO0FerL8j//2izcybH57gQgB57HXAL1A6AUytRfoq0EZtvqVPe/57wUiBAp/U4VeIPQCmdoLNHtBA4En3W747wUiQKq7nUIvEHqBTO0F2jDxh6LCvX3u+u8FAkLqY1LQC4ReIFN7gR4k9p0U/d6WOv+9QATA9vXn6AVCL5C5vUC157btyilq8d8LRACcV/9ch14g9AKZ3gvUvKjQfy9Q61bS7SJ6gdALZHovUP2LP/rvBWrdqqJXoBcIvUCm9wK5TwB/vECtfzRu7u9CLxB6gUzrBXI0tW2PX/gxAC9Q6yTg0quP0QuEXiDTeoHOJbVtcf/2YwBeoFb88OMT6AVCL5BpvUAXpndsJQF4gVp/8GRmMnqB0AtkWi+Qs6VjcwXgBWrdmvd91IReIPQCmdcLRG9Pk/3yArWdEDc+yEIvEHqBzOsFog+bNb/2ywvUthXFpKIXCL1A5vUCUePEvKg/+uUFaqP1mwba0QuEXiDTeoHSBrRuw2K3VjkmfP9XQkjVt5vW9/XNC9T6jetcr1z0AqEXyLReoJOfjNq4pmfC1rFTd8yr/SsQUro0Ib6bb16gNpoXvQm9QOgFMq0XKHXug/rarMFZ9/8W1Wfk/5pOwF5e9DDZNy9Q22FVt26oHb1A6AUyqxdo4cxKQvK6/1T5bE7h3edK/PICtf3Elfl5FnqB0AtkVi/QuT5RqUu7Tbz48YQG4irzzwvUDvImrUYvEHqBzOoFst9dMyZ6V3lRRpX/XqD2Hd60aVA9eoHQC2RSLxBxtVTU2AGc4L8XqOMU+2HoKfQCoRfIpF6gmpXP/NPPXs1sCcQL1DFFLpk504VeIPQCmdML9PWA47a6Zb3uBeIF6gg9u9IG3UMvEHqBzOkFSl7QSKCqXYvitxeo44DLjtnsQi8QeoFM6QVaG3u5vOzQx3cC8gJ1PHvjynFP0AuEXiBTeoHyYj6ZNOHNjbUBeYE60dkxh9ALhF4gU3qByNMzm7ffLLEH5AXqHNE8SZ5Wi14g9AKZ0gvUutmWPQrIC+T2/xwemYleIPQCmdYL1GqFCMgL1Pl9yeSFdegFQi+QdF4g9/wgbdQF9AKhF8h0XqAOLUrlCwF6gdx/PYpbVoteIPQCmc0LdGl22zbt3wP0ArmHRq7drbcA9AKhF8hcXqCzcR1bUYBeIPdPSmKXVqMXCL1AJvMCUVqUwLxAasYhffgZF3qB0AtkLi8QM04MxAukju2fTJpXhl4g9AKZ2QvU+Rh/vEDqTzIHHrWjFwi9QCb2AvFhUF+8QOosu2FOfD56gdALZF4vkLv/3R8vEFVqdqf/tgb0AqEXyFxeINEe1KsFEnmBqC/Htn5ZLvQCoRfIVF4gUZGCTi2Q2AtEzXZrxsx6jF4g9AKZyguklg6r1/iOE8A3LxA9Nch6+6ANvUDoBTKTF0j0KL+8QPRtwrHho/voBUIvkJm8QII4sp9eIBo1DJtUg14g9AKZyAvEZcwD8AIxR1z+X/e0oBcIvUAm8gIJNv+8QGyW7cgfbqMXCL1A5vECMVXzgXmBWP9Pcrca9AKhF8g0XiCguxwD8wKx/p+WnhNs6AVCL5BZvEB0wXOgXiC2/bb02Y0t6AVCL5BJvEDszTMwLxC3u688c8KBXiD0ApnDC0T5egL3AnH+n+1/u+JCLxB6gczhBeKCRQF5gTj/j33BeznoBUIvkHm8QFwlpf9eIM7/Uxc/4C6gFwi9QGbxAgF1oQ7IC8QnHMrHjs5DLxB6gcziBdJpiPHdC8T7f1wPRsU+QC8QeoEi3QskzBgH4gXi/T/OWyMnP0AvEHqBItwLpM5hu+gF0nDHjdFT8tALhF6gyPYCiWwNgXmBNNx+bVzSHfQCoRcoor1A4nrogLxAGm6/Gh2fjV4g9AJJ4gXS+n/sN+Kjr7rQC4ReIDm8QFruyJk66gcHeoHQCySFF0jAnffnDjnajF4g9AJJ4QUScChe2X9HLXqB0AskgxdIyCu3f76sAr1A6AWSwQsk5HXf9Y/PRy8QeoEk8AKJuS1rdL8rdvQCoRfI+l4gMXcWz/tHWhN6gdALZH0vkJhD3bcvT60G9AKhF8jqXiA93nKr91s5LvQCoRfI6l4gPe5qmPerTegFQi+Q9b1AuvzKs30KHegFQi+Qxb1A+rx+wu931LnQC4ReIGt7gfS58/jLw35qQC8QeoGs7QXS51Ce+EpqUQt6gdALZGkvkAdu+/6TwccqnOgFQi+Qhb1AHnnF0g9mXaoB9AKhFyh8XiBgOqZVRUrHYdJ+AtBjauBDK5R3hi5x8M4JsV+f+Nma7Aa6spo+sQzjHgQtVubaj0z67xVK0kmFgdTAAX0HAD68QKfOgG0s84G3fVN7YNjI7fdtbA2psIEtqBwI3cPJBKosztlOPK4+WD6uaLup6VsCQKcYCzRN5epMgfHwcONQz7z1J8XrhsSlFdo1XQLaIq7gcmACwkzPs1U5HxghOgEiibhCF0IwveMdh3xHIkzTXMML+Ni2G994xxty5i4enrS/xEkVR7DvMvicDdJqx0hW5fy4lOiMY+XhCj1F0lw7qTAoldCiq9wA2GJzWrTonXdGJlt+nDNianqFiy7HJqxsNLhc84sC4U0SVuTaMnWQnSsCbwR1fDJuUEERsZeOYs+cbpppPJc8KnH/Y5e2mQZ0mmy6xEWpD9BOF63Jqaw8COrb5eIKl6IF1jGpngDAiaDpJAuh1XGEE5/rc3Y0VX9mzuiJaY+BH2WBsMG5qxy8+MCsy0FTGSQ1V/huKS7X5VYjEjaDBExdPVNNROUhvXN6XlJ/duGYkTvKiEDoxXSqBYdrBDqSfI8bYTvCWKUqK08n3BCIDurzenTxOeaJa2tXGi6uGBu17kEoamPkLIrn2qORE4Vrh+m4QDtS584pbBfbdpRDMwNrIHROjC785Ht9vXBN22Tz1U3R/RfccGraKUH8+AC5njLE8lztagJhDaR0XOFjxu1HzbkhmWsSVTs08I1FQNVX04ktwrSNeePauTUA2G6lJX4ed7qB50Tn8QFxcYJUL3FqIQ56zd2ycoV2YqlT2wtHXFc/AkEUiNXLAGhjTUC04gU9LowTQUvBiXl9B31T7n9cyXcuHJiB1bluXZS8XFHLBemJQH3jT4O3EyhbOW1Kj9aeYO6gp2ob1DkB0/riGxcFatrGXRVX1g/6aMEtO8f1Hu8314uLW5wLLeByc4XwHpH2s2Ft/yN1BCo2L174oWqFYDzovP+TGneAj1xUr9cxOXbV3Tsw8c3hx55yXO/xfnKu80Enbm41zl8UgS5WkZQrmtqetq/vBz+wESDO2urHC+ghENFJhAU0LBEvqOGeXNgqrix7562UBw6W6z3ePw6iNwMW59wqkpyuQE6u0GN79eqc8Lu33onTzwTTi01QEwFgs87eONeqQ9gOslaLVn3RgS+eG3ioAfgFOMSP950TQiRUokn1y/rIFW3lZOsj6quqq+vUMChVVQPcjZabC1BDHq8cxMZqhtvr7ix/+Y9Tclwc13u8j1y4T0BnX1mIg250VFau0D5VT6UQlHGGDQqJpHE+cj5Lpa1ZbVtrvumHcf/+93WVPj7eJy4Ym+kt/2Ehrqe1lJkrahOw2qzr9ueo/QBqXzm9WAC3NAbwM10v3PcFLpv39fyXT3ZV2pwQnIUyRWFz0AmnW4nTg2Bg05SScoUAYQsduBYiVYvCPR9dEk11ntKzDG+cMjByHVsCXrbmzd+OPFhWbwffHu+Zq4tmsx2eluZEtIKIOEUgDVfUiz3h6yEoLxAT+GeHE8K1qHzkhFvQinG5arjj9sJ//CXmcEG1DXx6vE+c3zPW5ijE1XSEgTZMxPQIa+YAfHEl03YC2vVY9LnagczaWz3w5utzur8+Kf12RZPLp8frc81VgVP5WpQDdxcmfIeUbFyhpYG0N65zOOS2Q4vMiXQLsXpQcw3p+pwZkKkCFc+88cq8996O33XtUZ3Lp8cLOWG6g9jOKetyAFFpEC8TkosrjDaTCxkALcflOHBNZsAHfLxzjaIEmOWI9XnT1SW934/ecPbuE2eAzyPxJnnpA8/D7AUK2PPTkr0+6sMxSw9dK7ahF8hnTtAFFHFeoMA9P6683bE9hydvOX272oVeIPQCmdYL1BXPz+OMBQOHTFqSduFhE3qB0AtkUi9Q1zw/jde+mjRkwvRVB65VONALhF4gU3qBuuj5cTz67suYsfEz1hzJqXWhF4igF8h8XqCu+n+gPvvbBbET46anHr/TCOgFIugF8o1Hjheo6/4fZ8WlnfMTYqMT1xy/34JeIB2OXiCGR5IXKBj+H1vhuZ0Lk2LGTFh57L4NvUDivkjc6GrQSPICBcf/01xwPm3ZtOjhoxYfyG1ALxBBL5D/XiD1Ah1iL1Cw/D/NBZfSU5OjBw+esfNaDaAXCL1A/nmBVP1PyL1AQfP/QFPRjRNbF8YO6DMh9XSpA71ABL1A2n/peIHUTGrovUDB5GArv30hfVXSoHf7JafdatarCyfoBUIvEJsOdkdu2qtBQ+wFCi631xTezNwxb+Q73UasOFmOXiAsgvPuBVIH7VQiLJReoGBzV+Pj/OwT6yZ98kKPuK9/rCXoBUIvkCcvkHqQ8w0xIfMCGcDtdRUPcw6mjPjHs+8nfZPTqHkz6AWSj+t4gdTZazi9QEZwaKl7Upy9d3bfP/3+gym7c5v0s9TW40SmX7ZrXiD1EAqzF8gQDq6WxtrH2bun9fzdb3ok7Mix6QTR0QuEXqDwe4EM4a3/uRwtzfV30qZ+8Kt/eXnshqtN6AWSkZvECxRszobHi4/N//x3P3t+0OJjBY3NLQ4XoBcIvUAR5wUKLtf6c6rOrhn1yn/8vtfkLZeKq+uaWlzoBUIvUGR5gQzhbMikMXvPrM+e/7/dRizae72wvKre5kIvEHqBIsgLFDzuwZ/jLD2zIf6jZ//6cczyfVfvP6p42uxCLxB6gSLFCxQUTrx7dWx5x1ZHf/Df3QYmrth7PjuvuKrR6fHx6AVCL1CovEBd5z5vTbcOr5zY69X3hyQu3X7iSvaDslq7yWvr0QvEcLN6gbrIRUkRfe6qu3V0bVL/d3oOjZ+/7tuTl3MeVjaZ0i9E0AVkIS9Ql3gAXh2ov3dq67zRH38yJHrGkg3pJy/nPqpuQS+QybnJvUBd4QH6dmxFl/evmTb00yHjEmcv3bj3xMVbRU8d6AVCL1C4vEAB8a77dqpyT32zPPGLoWNikmYtSt155Fx24VMn+P886AUKL7eEF8h/rvlFA/Tt2EqyMnZ+OXXcmOi4ydOSl27ed+p6frUTvUDoBfKFB9ML5CcXNYkE7tuBhqIb3+9eMzsuJi4+ITFp9qodRy/eLm+GYD1/kDlBL5DKreQF8ocb4uFpKM4+k755yfTJCZPiY2MmzUvdnXE1v8YZtOcPCkcvEMOt5gXynYt6BoPyPTSX37n83Z4Ni5OnTY6fOG507Ny1aSezihrRCxSJmxW9QD5x3SFZ0Li9ujD7/PE9G5fOmzk5ZszwIROS1+xpPRHA4Nf1xNELxHOreoG8cBI6Pw80Pc6/eeHEvi0rF81MGD+8f7+RU5dvP371YYPL2NfV6wRBLxCRxAvkiYfBz+NqqCjIuZJ5dPf6ZbMTx0b1+aj/xLnr9/9wt9pl7Ovq3SLQC+S+A1jYC6TLw+fncTZUFt376VLm4R1rFk4ZN7h39/eiJqVsOXatsBG9QOgFMsQLJOB6cfEQcldzTXnh3ZtXzh7YuiI5dmjvN199Lypx6bYTWaUtgF4g9AIZy0nkeHvA3lBd/igvN+vcwS3Lpo3r986Lf+4+MG7RtuNZJS3oBTKcS+UFou9BojcTXm+Pq6WhprK08MGdK8e2Lp82ss/rzz3z8sdjZ284cKmgAYLyuugFQi8QcKErDyXzYeMue1N9zZPyksKcU7tXzRj9yWv/7//8oXv/+JQdGTkV0JXnj8RfNtxcSi+QTqQk4nw+reKWxrqn1U8Krx75akFMv+5/+MUv//j24KTluzPv1rgCeX70AqEXiKjlf+K4UARycDkd9hZbc1NjwaV9a6eP+OCF//jZP/9X94EJS3dl3nnq8vV50AuEXiChF0h0aYh0biu+emhD8uiPXvzV//z5M699On7upoM/PqxrbGq2tdgdThegF8g3jl4gE3t+2v9oKbvx3dbFcf26/+Fff/H7V3qPmPrl9u+uPXxcVVNb39hsszsBvUDoBfLRC2Ry7qzKPbs3NXnsZ2/8169+9+K7AyfMWrn96OV7j0rKH1c9rW+0OVzoBUIvkHcvkBV4U/FPJ3etTh7b963nfvf8Gz2jYmYt/2r/qet38gqKSh9X1zbanOgFIugFIub2/PjEobHoxqm9a+fHDfnwlf9+sXvvqPFTFqZuSz997adb9/KLyiqfNtic6AVCL5AUW1Np7vlDW1fMHD/og1f+/lavgaPjZyxO3frtiXOXr2ffzS8qr6prdqIXCL1AluXUR+aqLrhxev9XX86Mjur1Vo+efYeOS5ixYMWGHeknMi9cvXn7QVF5dYMd0AuEXiCrcYEnx1b54HrmwW2r5iWO7vfhh58O/GJ8/LQ5i1eu37b3cMbZS9dv3S8sr2l0EPQCoRfI5NwHT4696mH2ueN7Ni2fHT9ywGf9okaOi0mcNnvhslUbd357JOPslZ/uFJRWNTjQCyS7F8ic3D9/jrO+7N71s0f3bF4xb/K4oVHDRo2NjkucOnPOgpSVG7alHcr44crNu4UVT22AXiBZvUAm413x6thriu/dOHf8261rlyQnjBs1Znx0bHzC5KnTZ86etyz1q13pxzMv/3S3sKK2BQJ7fvQCmdcLZDJOuu7VsdeWPci+fPpI2ta1S+YkxcbGxsVPmpSQOHny5Ckz5i9ft2XPoe/PX8stKHPfHYL0usHn6AXSqb2xLA++b8fVVFV8/+blzGP7dmxcuXjW1KSkyYkJCZPi4+JiY+KnzVu2dkva4ZMXbtx59LjBiV4g63uBIvx7ozdHw5PivJyr574/vHf7xtUpc5JnTp+alBgfO3HCuNGjxifMWrx6866DGeev33lU2egMf2oEvUCaTKGVecg9PM6mmvKHd2/+eO7k0f27tqxfvnjB3FnTkxJio8eO+mJI1BcTJs9ekrol7WjmlZz88joHeoEs6AWKLB5mD4+9vqrs4b2c65fOZhzZv3vr+lXLFs2dNTUhZvyoYYP7fdZ36LjE5CWpW/ceO/Nj7sPKRlf4vECur2ak1KMXyHo8ovw8rV3QFcX5d3OuXz536rvD+3ZsSv0yZd6MpNjxI4cM+LTnB736j4idvmDl5t2HTl3KKXjc4AydF+inwRfnb0cvkNW4oGQigrw94Giqq6oofng/9+a1y+cyM46kbd+4eun8mUkxY4YN6PPh22/26DVgZNzMRau/Tjt65vqdomqbcV6g1TOdJwehF8hq3FzFa2Bvrq+pLCsquH8nJ+vqpfOnj+zdsWlVypypcWOH9e/9breXX3rj/b7DJ06dv2LznqNnrt5+VGMHv19Xxws0ZRvkv0mgMKFf3z+hF8gq3OQ+H3DYGutqKstLHhXk3c3Nzrp6/kT6N5tWp8yeMnHEoD7vv/nS88+92K33waB4geaucF37EEj14R1bB6IXyCrcap4fl8PWVF9b/eRxWcmjh/n37+ZeO3s8PTcoXqDjwxzbZxJw2Zrql6AXyCrc8r+sy2m3Ofx7Hh0vkC26/+Bi9AJZjqMXyFcvUEuzDb1AVuPoBUIvkGW8QIFx9AKhF8hyXiDfOXqB0AtkaS+Qd45eIPQCyeEF0uPS+n/QCySrF4hOw0vs/0EvEHqBIr30ISwcvUCeYuRW48T6nh9/v0cvEHqBiMwcvUB8mlByL5BsHL1A6AWSmnv3Am16d8lS3HCzyvb1Xf+8QK6bc2M8biP/d/+YSN/e+8vASH+LE157PuJ34/A/9Yj49zj6f4z3/IAFN5jRsFcvUGtJtMft0SsXmyJ92z7pWqS/xaeLxkX8brw/cWPEv8fSn9d4foDNyUTDvHqBgFUKaL1Aj1+7HvFeoD1J2ZHuBbItmxia1+rCVhS/JeLTHNU/b/br8V69QMDVQWi8QFUDc/XbzCPEC3Rs2b1I9wK1fD0/BK/bNa9O2eL0oDyPkfzpi7bgeoG4hJfWC9RytS7ivUDlefWR7gVyFd4Nxet2yavTfK/Ur8eHg9sznX49XscLpDYiA1PGjF4gk/OI8gJFAtfxAtGZVK4LHr1A5uWCkokI8gKFhet4gYDR+Qu9QHBtZsx3NiCuPZPiCp2romfURqAXKH9uzM4mAGd63IijdZMGDf7aEXFeoIaU6CX1hLiO9x0853bGlNhrDuNeN9AiMtfaiUm1hFStHjy4f+rBvoPn34/EYrdDJ5o792fb5+7T8+h4gQh7OIm8QBWpqQeW3CRwOy5z7dIfBuambIw8L1Dt7tknl2QC5CZ/mzHu1NjMW6UR5wVynh51LWU3IfU7F93Kz52XtmNpceR5ga4PzUlJJcRedOv84lVfL79V0BjY8xjJXQufWdXQsT83tn3uXfEC8Y3kgq8b804XzzxMyO65pTkfJ89xnunn77DEeP/Po3lpT1avIST/XEXZF+s+Hjo+zxVpXiD7/BVN6RMJlMz7aOzeA3Nv5o2+GXleoDVz7Bd6tyWFLi68PqvX2AMNkecLguJpXzWQ9v35cfvn3gUvED171aaK23bs+fk/Nc/aQ8ia9VV1b4zcAQ+7RZ4XKG/6uZYtCwAcLQUxKd9vfZA+zBZpXqCWmIPOSwMJqTh48kryiC8LGoZcNex1A36SGdsc5X9vywRsPFWSnnlxxqnw7jRhkAtWb2vo2J8vtX3uPj2PjheIP7QEXqArc88/npFOYEtKRf57CctdP/aMPC9QQfLh2rXLAeDIwA2P7TZX81+aIs0L1DJ9s+34yFZTssO+qM/C28Vf3Ig8L1DKMvvNt1v/eTG+qfWNztoV2PMYy9tPgNb9+Xbb594lL5BaCsHnwjrho2V7shZeJPBjTP6hyQcHO7bMiTwvUNXm5flfpgNkTc6ww9YV1Zd7N0eaF8iZHv10w2oC2YvPFc6eP+vcmVkPDHvdgP05mcNs26YDkIZ9C+F6yqWCGUcDex5jedsJ0LY/Z3d87j48j1cvEGE7xSgv0OlhfXbnTzztWtmvzx1HQp+oqgj0AuWO7PNl4aKv09547oV3L499870sV6R5gaB2fJ/Ykt2JLd++3SO1evfgPmfsBr5ugP4c17RP+1Wc/YwULj4Dtm96vL2pNhI9P+t2Nt59tW1/1rR+7vXB8QIx8QP0AqEXSDYvkCb8j14gE3P0AvntBQJtPRx6gYLOHVUlD+9XOox/XfQC+esFovNM6AUyipcu/vyTV6fcB/QCRZwXiL4toBfIqK00vvvFS1Er7CF4KfQCMdyrF4hWAaEXyChemjwNXMuSKg1+XYIuIL+9QIKlVdALFHReOn8BgdQppegFCjX36gViK8zQC2QML50ytLwkcW49eoEizgtED/nRC2QUL016fcG0kScAvUAR5wVikmFUEEUzyQUq2wg+cipQqm1aN5JrflH61wsDL100ZumsE/VGv66mTwBAdu7VCwSCB2iXSQ2oT4tOk2najo3loiYRQY1cyHjpkpWhe102pw9yc+9eIG4qSWhCX3KYLjKfuKCNSzPWMoqDzikZJs6cAMa+LnD3B8l5171Avvl/wusFEnFRz2DYvm+4diNUr4Ub1w/QVS+Qd/9P+L1AAq47JLM0j1yfT7h4171AdJwtUr1AGk4izgsUIh6xPp9wcfQC8YcNeoGk4ugFEnVUoRcIvUBevUBsz69n/0/YvEB6XC8ubnGORXBB9AJRR5Q3/0/YvEC6nESMFyiUPKzengjlgXuBmERYQMMS471A+jxivECh5GH19kQoD9wLRJjRjSf/T/i8QLqc6AQNrc2l+mV95IF7geihkWf/T/i8QLpcuE/C4gUKLQ+rtycieeBeILZtxqP/J2xeIF0eOV6gUPIwe3sikv9/geTuHwHpmloAAAAASUVORK5CYII=" + } + }, + "cell_type": "markdown", + "id": "6c718e3a", + "metadata": {}, + "source": [ + "# Logarithmic Loss\n", + "\n", + "\n", + "It can be used for multiclass classification where it assigns a probability to each class for all examples. It is used to compare models not only on the basis of outputs but their probabilistic outcomes.\n", + "\n", + "![ll.png](attachment:ll.png)" + ] + }, + { + "cell_type": "markdown", + "id": "343f047a", + "metadata": {}, + "source": [ + "In this graph, we can see that as the probability of the model increases, the logarithmic value decreases and vice versa.\n", + "Hence lower the log value higher accurate will be the model." + ] + }, + { + "cell_type": "markdown", + "id": "88cbcde3", + "metadata": {}, + "source": [ + "# AREA UNDER CURVE\n", + "\n", + "* It is used for ***binary classification.*** In order to understand area under curve we will first define two terms. \n", + "\n", + "* True Positive Rate (Sensitivity) : It is defined as the ratio of True Positive to all the other positives in dataset" + ] + }, + { + "attachments": { + "tt.png": { + "image/png": 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" + } + }, + "cell_type": "markdown", + "id": "88f933b9", + "metadata": {}, + "source": [ + "![tt.png](attachment:tt.png)" + ] + }, + { + "cell_type": "markdown", + "id": "47c73203", + "metadata": {}, + "source": [ + "The probabilistic interpretation of AUC score is that if you randomly choose a positive case and a negative case, the probability that the positive case outranks the negative case according to the classifier is given by the AUC. \n", + "It is defined as the area under the curve which is plotted by FPR vs TPR. \n", + "\n", + "***ADEEBA RASHID*** \n", + "[LinkedIn](https://www.linkedin.com/in/adeeba-rashid-62643b1b9)" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "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": "3.10.2" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/README.md b/README.md index c9972e6b..bcf26c7d 100644 --- a/README.md +++ b/README.md @@ -1,35 +1,3 @@ -# Open-contributions -This Repository is for sharing knowledge and Learning purpose, and open contributions under DevIncept program. +# MLbyAdeeba +Let's deep dive into Machine learning. -# Eligible for Hacktoberfest 2021 - -### Follow these steps to make a contribution: - -1. Fork this repository. - -2. Select any topic which you want to contribute on from any of: **Python, ML, Deep Learning, Computer Vision, NLP, Blockchain, or any other tech** - For example: Object detection using OpenCV - -3. Create a folder with your name and field you are contributing to, like: **FullName_Field** - For example, if Ram is contributing to openCV, folder name will be: **Ram_OpenCV** - -4. Add two files for any topic inside that folder: - 1. **Markdown File:** Explaining the "What" and "Why" part. - 2. **Code:** Explaining the "How" part. *(For exp: .py or .vs files) - - For example: two files in above example will be: - - 1. **YourName_Objectdetection_OpenCV.md:** This file will contain theoritical part about Object detection. - 2. **YourName_Objectdetection_OpenCV.ipynb:** This file will contain implementation part of object detection. - - -5. After adding these two files, you can create a pull request. - - -> We believe that "one should learn in a way that he/she can explain it to others" or "Learning by teaching others" is an extremely effective way to learn. You'll have to understand and write what you learned in a Markdown file, not to copy everything (we'll be checking plagiarism before merging it to master) but to explain all important points in the list or tabular format, use images/illustrations over text or whatever you like, in a way that what you write can easily be understood by a person who has no idea about the topic with minimal effort. And for the same topic, if applicable you'll have to write a Jupyter notebook explaining the working of the topics. - - -### Resources to start -1. [Introduction to markdown](Markdown.md) -2. [Introduction to jupyter Notebook](Trivedh_Jupyter_Tutorial.md) -3. [How to create a Pull Request](Create_Pull_Request.md)