{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Classificação e regressão usando árvores de decisão" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Um classificador, ou regressor, muito fácil de interpretar e implementar é a árvore de decisão (DT - Decision Tree). Neste notebook você vai aprender, ou relembrar, o conceito básico de uma árvore de decisão, como ela é induzida e como aplicá-la.\n", "\n", "Em Computação, uma árvore é uma estrutura de dados, ou uma forma de estruturar dados, que tem um nó raiz, galhos e nós folhas, como uma árvore de verdade. A forma de representar uma árvore em Computação é desenhando-a de cabeça para baixo, como ilustrado na figura abaixo, onde apresentamos a estrutura organizacional da universidade. Nela, a reitoria é a raiz e as pró-reitorias são as folhas. " ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Reitoria\n", "├── Pró-reitoria de Cultura e Extensão Universitária\n", "├── Pró-reitoria de Graduação\n", "├── Pró-reitoria de Pesquisa\n", "└── Pró-reitoria de Pós-Graduação\n", "\n" ] } ], "source": [ "from treelib import Node,Tree\n", "\n", "arvore = Tree()\n", "arvore.create_node(\"Reitoria\", \"reitor\") # nó raiz\n", "arvore.create_node(\"Pró-reitoria de Graduação\", \"prg\", parent=\"reitor\")\n", "arvore.create_node(\"Pró-reitoria de Pós-Graduação\", \"prpg\", parent=\"reitor\")\n", "arvore.create_node(\"Pró-reitoria de Pesquisa\", \"prp\", parent=\"reitor\")\n", "arvore.create_node(\"Pró-reitoria de Cultura e Extensão Universitária\", \"proceu\", parent=\"reitor\")\n", "arvore.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Árvore binária\n", "\n", "Árvore binária é um tipo de árvore em que cada nó, que não é folha, pode ter apenas dois \"galhos\" para outros nós, ou para folhas. A figura abaixo ilustra uma árvore binária. Uma grande vantagem de armazenar elementos em uma árvore é a rapidez com que elas podem ser buscadas depois. Por exemplo, para procurar pelos mamíferos a partir da raiz, perguntamos na raiz se o vertebrado é de Sangue frio. Se for, seguimos para o nó dos vertebrados de sangue frio. Se não for, seguimos para outro nó (pois há no máximo dois nós), que é o caso. Estando no nó dos vertebrados de sangue quente, perguntamos se o vertebrado é da classe das Aves e Peixes. Como não é, seguimos para o nó dos mamíferos e pronto." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Vertebrados\n", "├── Sangue frio\n", "│ ├── Anfíbios\n", "│ └── Répteis\n", "└── Sangue quente\n", " ├── Aves/Peixes\n", " └── Mamíferos\n", "\n" ] } ], "source": [ "arvore = Tree()\n", "arvore.create_node(\"Vertebrados\", \"vert\") # nó raiz\n", "arvore.create_node(\"Sangue quente\", \"hotb\", parent=\"vert\")\n", "arvore.create_node(\"Sangue frio\", \"coldb\", parent=\"vert\")\n", "arvore.create_node(\"Mamíferos\", \"mamm\", parent=\"hotb\")\n", "arvore.create_node(\"Aves/Peixes\", \"birdfish\", parent=\"hotb\")\n", "arvore.create_node(\"Anfíbios\", \"anf\", parent=\"coldb\")\n", "arvore.create_node(\"Répteis\", \"rept\", parent=\"coldb\")\n", "arvore.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Quero saber mais sobre árvores\n", "\n", "Caso você queira saber mais sobre essa estrutura de dados, procure nas páginas e aulas do prof. Dr. Paulo Feofiloff:\n", "\n", "https://www.ime.usp.br/~pf/\n", "\n", "Caso você queira saber mais sobre esta biblioteca de árvores do Python, a treelib, a documentação está aqui:\n", "\n", "https://treelib.readthedocs.io/en/latest/" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Árvore de decisão binária\n", "\n", "Árvore de decisão binária é uma árvore binária onde cada nó, que não é folha, tem associada uma \"pergunta\", ou um valor, sobre um determinado atributo/medida do objeto que queremos classificar. Por exemplo, na árvore binária do exemplo anterior, a primeira pergunta estaria associada ao sangue (o sangue é frio?).\n", "\n", "Em outras palavras, usar uma árvore de decisão para classificar um objeto é muito simples, basta percorrermos a árvore da raiz para as folhas, respondendo às perguntas associadas a cada nó interno (ou nó que não é folha) da árvore.\n", "\n", "Por outro lado, induzir (que é a palavra que usasse para a tarefa de construir uma árvore binária é o problema real que os algoritmos de aprendizado de máquina precisam resolver. \n", "\n", "Para ilustrar um algoritmo de indução de árvores de decisão, vamos primeiramente apresentar o conjunto de dados que vamos usar." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Comecemos apresentando um conjunto de dados (dataset) muito conhecido da comunidade, o IRIS." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "import os\n", "import pydotplus\n", "\n", "from sklearn.datasets import load_iris\n", "from IPython.display import Image " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "IRIS é um dataset com 150 medidas de comprimento e largura de pétalas (petal) e sépalas (sepal). A sépala é um tipo de folha que protege a pétala. A figura abaixo mostra um exemplo de uma flor do tipo iris virgínica (fonte: Wikipedia)." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.display import Image\n", "from IPython.core.display import HTML \n", "Image(url= \"https://upload.wikimedia.org/wikipedia/commons/thumb/f/f8/Iris_virginica_2.jpg/240px-Iris_virginica_2.jpg\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A figura abaixo mostra um exemplo de uma flor do tipo iris setosa (fonte: Wikipedia)." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image(url= \"https://upload.wikimedia.org/wikipedia/commons/thumb/5/56/Kosaciec_szczecinkowaty_Iris_setosa.jpg/180px-Kosaciec_szczecinkowaty_Iris_setosa.jpg\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A figura abaixo mostra um exemplo de uma flor do tipo iris versicolor (fonte: Wikipedia)." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image(url= \"https://upload.wikimedia.org/wikipedia/commons/thumb/2/27/Blue_Flag%2C_Ottawa.jpg/240px-Blue_Flag%2C_Ottawa.jpg\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A figura abaixo mostra a diferença entre a sépala e a pétala em uma flor (fonte: Wikipedia). Note que, na flor iris, a sépala é, em geral, maior que a pétala e parece-se muito com uma pétala." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image(url= \"https://upload.wikimedia.org/wikipedia/commons/thumb/7/78/Petal-sepal.jpg/226px-Petal-sepal.jpg\")" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "# O conjunto iris pode facilmente ser carregado usando o seguinte comando.\n", "\n", "iris = load_iris()" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[4.9 3. 1.4 0.2]\n", " [4.7 3.2 1.3 0.2]\n", " [4.6 3.1 1.5 0.2]\n", " [5. 3.6 1.4 0.2]\n", " [5.4 3.9 1.7 0.4]\n", " [4.6 3.4 1.4 0.3]\n", " [5. 3.4 1.5 0.2]\n", " [4.4 2.9 1.4 0.2]\n", " [4.9 3.1 1.5 0.1]]\n" ] } ], "source": [ "# Estes são as primeiras dez linhas da matriz de dados de quatro colunas do iris.\n", "\n", "print(iris.data[1:10])" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0 0 0 0 0 0 0 0 0]\n" ] } ], "source": [ "# Estes são as primeiras dez linhas da matriz de rótulos do iris.\n", "\n", "print(iris.target[1:10])" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "['setosa' 'versicolor' 'virginica']\n" ] } ], "source": [ "# Estes são os nomes dos rótulos (que são os nomes dos tipos das flores).\n", "\n", "print(iris.target_names)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "['sepal length (cm)', 'sepal width (cm)', 'petal length (cm)', 'petal width (cm)']\n" ] } ], "source": [ "# Estes são os nomes dos atributos (e as respectivas unidades de medida) de cada uma das colunas do iris.\n", "\n", "print(iris.feature_names)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Para facilitar a explicação, de um algoritmo de indução de árvores de decisão, vamos começar com o problema de separar apenas duas classes de iris, setosa e versicolor. Para isso, vamos tomar apenas os valores do conjunto de dados cujos targets são 0 e 1." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Criamos um conjunto X com apenas as linhas correspondentes às classes setosa \n", "# e versicolor e um conjunto Y com os respectivos rótulos.\n", "\n", "X = iris.data[(iris.target==0)|(iris.target==1),:]\n", "Y = iris.target[(iris.target==0)|(iris.target==1)]\n", "\n", "# Vamos fazer um gráfico do comprimento vs largura das pétalas\n", "import matplotlib as mpl\n", "import matplotlib.pyplot as plt\n", "\n", "colors = ['blue','green']\n", "plt.scatter(X[:,2],X[:,3],c=Y,cmap=mpl.colors.ListedColormap(colors))\n", "\n", "plt.xlabel('Petal length')\n", "plt.ylabel('Petal width')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "É fácil ver que basta olhar para o comprimento da pétala para separar as duas classes com apenas uma pergunta que poderia ser (escolheremos um valor arbitrário para o comprimento da pétala):\n", " If X[i,2] > 2.5: \n", " classe = 0\n", " else:\n", " classe = 1\n", "\n", "Uma outra forma seria examinar a largura da pétala e escolher o valor, digamos 0.75:\n", "\n", "Em ambos os casos temos uma forma heurística de induzir uma árvore de decisão e que resultam em uma árvore com apenas um nó raiz e nesse nó temos uma pergunta sobre apenas uma característica que é o comprimento, ou a largura, da pétala. Todos os dados do conjunto seriam separados perfeitamente em dois nós folha. \n", "\n", "A forma heurística não é interessante e precisamos de uma outra estratégia que induza a árvore sem necessidade de auxílio humano, ou gráfico. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Algoritmo para indução de uma árvore de decisão binária\n", "\n", "Existem muitas formas de induzir uma árvore de decisão e a forma mais intuitiva é um algoritmo recursivo que, a cada nó, que não um nó folha, particiona (em duas partes/subconjuntos) o conjunto de treinamento de acordo com algum critério que minimiza a impureza de cada subconjunto. \n", "\n", "Um algoritmo recursivo é formado por duas partes importantes: a base e o passo da recursão. A base da recursão é fundamental, senão o algoritmo não pára. O passo da recursão faz as vezes do laço (\"loop\") num algoritmo não recursivo.\n", "\n", "Para facilitar o entendimento, vamos chamar de $X$ o conjunto de objetos $x \\in \\mathcal{R}^d$ que desejamos classificar. A cada $x \\in \\mathcal{X}$, está associado um rótulo $y \\in Y$, $Y \\in \\mathcal{Z}$. \n", "\n", "Vamos denominar por $x_i \\in R$ a cada uma das características (medidas) de $x$ na dimensão $i$. Dessa forma, $x = \\{x_1,x_2,\\ldots,x_d\\}$. \n", "\n", "Desta forma, dado um conjunto de objetos $X \\in R^4$, como no caso do exemplo do iris reduzido a duas classes acima, podemos particionar $X$ em dois subconjuntos:\n", "\n", "$X_R = \\{x \\in X | x_2 <= 2.5\\}$ e $X_L = \\{x \\in X | x_2 > 2.5\\}$ \n", "\n", "Neste notebook trataremos apenas das árvores binárias transversais, isto é, cada nó está associado a uma pergunta sobre apenas uma característica. \n", "\n", "#### Medida de impureza\n", "\n", "Um outro elemento fundamental no algoritmos de indução é a medida de impureza que será usada para decidir que valor será usado como limiar para o particionamento do conjunto. Essa medida tem que refletir, de alguma forma, a mistura de rótulos num determinado subconjunto. O objetivo, então, é achar uma característica $x_i$ e um valor para ser aplicado a $x_i$ que particione o conjunto em dois subconjuntos $X_R$ e $X_L$, de forma a tornar os subconjuntos mais puros e ter um ganho na medida de impureza. Matematicamente, se denotarmos por $I$ essa medida, queremos otimizá-la de tal forma que:\n", "\n", "$\\Delta I(X) = I(X) - P_L I(X_L) - P_R I(X_R) = I(X) - P_L I(X_L) - (1-P_L) I(X_R)$\n", "\n", "Onde $P_L$ ($P_R$) é a proporção de elementos de $X$ que estão no conjunto $X_L$ ($X_R$). Note que $P_R = 1 - P_L$. \n", "\n", "Quanto maior o $\\Delta I(X)$, melhor o particionamento. Pense sobre isso!\n", "\n", "\n", "#### Algoritmo DT em alto nível de abstração\n", "\n", "entrada: X, # conjunto de dados \n", " Y, # conjunto de rótulos\n", " I, # medida de impureza\n", " \n", "saída: Árvore de decisão\n", "\n", "DT(X,Y,I):\n", "\n", " cria novo node # nó\n", " if X é puro: \n", " retorna o node (nó folha) que representa X\n", " else: \n", " encontre a partição X = X_L \\cup X_R que dê o maior ganho de pureza\n", " node.left = DT(X_L) \n", " node.right = DT(X_R)\n", " retorna node" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### A entropia como medida de impureza\n", "\n", "Antes de demonstrar o algoritmo, vamos apresentar uma medida de impureza e fazer a conta que o algoritmo faria na mão.\n", "\n", "Entropia é uma medida cuja história é, por si, muito interessante. No contexto de Teoria da Informação, ela foi inicialmente proposta por Claude Shanon no artigo \"A Mathematical Theory of Communication\":\n", "\n", "https://ieeexplore.ieee.org/document/6773024\n", "\n", "Em teoria da informação, há duas atoras importantes: a fonte e a receptora da mensagem. A ideia de Shannon era criar uma medida de informação que refletisse o quão surpreendente era uma mensagem para a receptora. Quanto mais surpreendente, ou menos provável, for a mensagem, mais informação ela carrega. Por outro lado, quanto mais provável for a mensagem, menos surpreendende ela será e menos informação ela carrega. Matematicamente, se denotarmos por $H$ a medida de informação e por $p$ a medida de probabilidade (note que estamos tratando de eventos discretos), matematicamente teríamos:\n", "\n", "$H(m) \\propto \\frac{1}{p(m)}$\n", "\n", "Uma outra propriedade que Shannon queria dessa medida é que, se a fonte mandasse duas mensagens diferentes, digamos $m_1$ e $m_2$, a medida da informação das duas mensagens conjuntas, isto é, $m_1 . m_2$ fosse a soma das medidas de informação $m_1$ e $m_2$. Matematicamente:\n", "\n", "$H(m_1.m_2) \\propto H(m_1)+H(m_2)$\n", "\n", "Como é sabido, o logaritmo é o funcional que leva uma função produto a uma função soma, assim, a medida de entropia de um conjunto $M = \\{m_1,m_2,\\ldots,m_n\\}$ de mensagens, usualmente denotada por $H$, é definida como uma média (por isso o produto pela probabilidade) da medida de informação de cada mensagem do conjunto $M$:\n", "\n", "$H(M) = \\sum\\limits_{i=1}^{n} -p(m_i)\\log p(m_i)$\n", "\n", "Uma propriedade importante da entropia é que ela é um valor entre 0 e 1.\n", "\n", "#### Exemplo usando os dados\n", "\n", "Vamos fazer a conta da entropia para três valores de largura de pétala e três de comprimento de pétala.\n", "\n", "Para a largura da pétala, vamos escolher arbitrariamente os valores $0.4, 0.8$ e $1.2$. " ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0.2 0.2 0.2 0.2 0.2 0.4 0.3 0.2 0.2 0.1 0.2 0.2 0.1 0.1 0.2 0.4 0.4 0.3\n", " 0.3 0.3 0.2 0.4 0.2 0.5 0.2 0.2 0.4 0.2 0.2 0.2 0.2 0.4 0.1 0.2 0.2 0.2\n", " 0.2 0.1 0.2 0.2 0.3 0.3 0.2 0.6 0.4 0.3 0.2 0.2 0.2 0.2 1.4 1.5 1.5 1.3\n", " 1.5 1.3 1.6 1. 1.3 1.4 1. 1.5 1. 1.4 1.3 1.4 1.5 1. 1.5 1.1 1.8 1.3\n", " 1.5 1.2 1.3 1.4 1.4 1.7 1.5 1. 1.1 1. 1.2 1.6 1.5 1.6 1.5 1.3 1.3 1.3\n", " 1.2 1.4 1.2 1. 1.3 1.2 1.3 1.3 1.1 1.3]\n", "100\n", "Entropia do conjunto X[:,3] = 1.0\n", "[ True True True True True True True True True True True True\n", " True True True True True True True True True True True False\n", " True True True True True True True True True True True True\n", " True True True True True True True False True True True True\n", " True True False False False False False False False False False False\n", " False False False False False False False False False False False False\n", " False False False False False False False False False False False False\n", " False False False False False False False False False False False False\n", " False False False False]\n", "[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n", " 0 0 0 0 0 0 0 0 0 0 0]\n", "[0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n", " 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1]\n", "Número de flores iris setosa com largura de pétala menor, ou igual a 0.4 = 48\n", "Número de flores com largura de pétala menor, ou igual a 0.4 = 48\n", "Número de flores iris versicolor com largura de pétala maior que 0.4= 50\n", "Número de flores com largura de pétala maior que 0.4 = 52\n", "H04R = -0.0\n", "H04L = 0.23519338181924143\n", "DeltaH04 = 0.8776994414539945\n" ] } ], "source": [ "from math import log2\n", "\n", "print(X[:,3])\n", "\n", "# Entropia do conjunto X[:,3]\n", "H = -50/100 * log2(50/100) - 50/100 * log2(50/100)\n", "print(\"Entropia do conjunto X[:,3] =\", H)\n", "\n", "# Vamos particionar X[:,3] em 0.4 :\n", "index04 = (X[:,3]<=0.4)\n", "print(index04)\n", "nSetosa04 = sum(Y[index04]==0)\n", "n04R = sum(index04)\n", "nVersicolor04 = sum(Y[~index04])\n", "n04L = sum(~index04)\n", "\n", "print(Y[index04])\n", "print(Y[~index04])\n", "print(\"Número de flores iris setosa com largura de pétala menor, ou igual a 0.4 =\", nSetosa04)\n", "print(\"Número de flores com largura de pétala menor, ou igual a 0.4 =\", n04R)\n", "print(\"Número de flores iris versicolor com largura de pétala maior que 0.4=\", nVersicolor04)\n", "print(\"Número de flores com largura de pétala maior que 0.4 =\", n04L)\n", "\n", "# A entropia do lado direito (valores menores, ou iguais a 0.4)\n", "H04R = -nSetosa04/n04R * log2(nSetosa04/n04R) \n", "print(\"H04R =\" , H04R)\n", "\n", "# A entropia do lado esquerdo (valores maiores que 0.4)\n", "H04L = -(n04L-nVersicolor04)/n04L * log2((n04L-nVersicolor04)/n04L) - nVersicolor04/n04L * log2(nVersicolor04/n04L)\n", "print(\"H04L =\" , H04L)\n", "\n", "# O delta de entropia\n", "deltaH04 = H - n04L/(n04L+n04R) * H04L - n04R/(n04L+n04R) * H04R\n", "print(\"DeltaH04 =\", deltaH04)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ True True True True True True True True True True True True\n", " True True True True True True True True True True True True\n", " True True True True True True True True True True True True\n", " True True True True True True True True True True True True\n", " True True False False False False False False False False False False\n", " False False False False False False False False False False False False\n", " False False False False False False False False False False False False\n", " False False False False False False False False False False False False\n", " False False False False]\n", "[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n", " 0 0 0 0 0 0 0 0 0 0 0 0 0]\n", "[1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n", " 1 1 1 1 1 1 1 1 1 1 1 1 1]\n", "Número de flores iris setosa com largura de pétala menor, ou igual a 0.8 = 50\n", "Número de flores com largura de pétala menor, ou igual a 0.8 = 50\n", "Número de flores iris versicolor com largura de pétala maior que 0.8= 50\n", "Número de flores com largura de pétala maior que 0.8 = 50\n", "H08R = -0.0\n", "H08L = -0.0\n", "DeltaH08 = 1.0\n" ] } ], "source": [ "# Isto aqui pode ser deixado como exercício\n", "\n", "# Vamos particionar X[:,3] em 0.8 :\n", "index08 = (X[:,3]<=0.8)\n", "print(index08)\n", "nSetosa08 = sum(Y[index08]==0)\n", "n08R = sum(index08)\n", "nVersicolor08 = sum(Y[~index08])\n", "n08L = sum(~index08)\n", "\n", "print(Y[index08])\n", "print(Y[~index08])\n", "print(\"Número de flores iris setosa com largura de pétala menor, ou igual a 0.8 =\", nSetosa08)\n", "print(\"Número de flores com largura de pétala menor, ou igual a 0.8 =\", n08R)\n", "print(\"Número de flores iris versicolor com largura de pétala maior que 0.8=\", nVersicolor08)\n", "print(\"Número de flores com largura de pétala maior que 0.8 =\", n08L)\n", "\n", "# A entropia do lado direito (valores menores, ou iguais a 0.8)\n", "H08R = -nSetosa08/n08R * log2(nSetosa08/n08R) \n", "print(\"H08R =\" , H08R)\n", "\n", "# A entropia do lado esquerdo (valores maiores que 0.8)\n", "H08L = -nVersicolor08/n08L * log2(nVersicolor08/n08L)\n", "print(\"H08L =\" , H08L)\n", "\n", "# O delta de entropia\n", "deltaH08 = H - n08L/(n08L+n08R) * H08L - n08R/(n08L+n08R) * H08R\n", "print(\"DeltaH08 =\", deltaH08)" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ True True True True True True True True True True True True\n", " True True True True True True True True True True True True\n", " True True True True True True True True True True True True\n", " True True True True True True True True True True True True\n", " True True False False False False False False False True False False\n", " True False True False False False False True False True False False\n", " False True False False False False False True True True True False\n", " False False False False False False True False True True False True\n", " False False True False]\n", "[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n", " 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1]\n", "[1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1]\n", "Número de flores iris setosa com largura de pétala menor, ou igual a 1.2 = 50\n", "Número de flores com largura de pétala menor, ou igual a 1.2 = 65\n", "Número de flores iris versicolor com largura de pétala maior que 1.2= 35\n", "Número de flores com largura de pétala maior que 1.2 = 35\n", "H12R = 0.7793498372920851\n", "H12L = -0.0\n", "DeltaH12 = 0.49342260576014474\n" ] } ], "source": [ "# Vamos particionar X[:,3] em 1.2 :\n", "index12 = (X[:,3]<=1.2)\n", "print(index12)\n", "nSetosa12 = sum(Y[index12]==0)\n", "n12R = sum(index12)\n", "nVersicolor12 = sum(Y[~index12])\n", "n12L = sum(~index12)\n", "\n", "print(Y[index12])\n", "print(Y[~index12])\n", "print(\"Número de flores iris setosa com largura de pétala menor, ou igual a 1.2 =\", nSetosa12)\n", "print(\"Número de flores com largura de pétala menor, ou igual a 1.2 =\", n12R)\n", "print(\"Número de flores iris versicolor com largura de pétala maior que 1.2=\", nVersicolor12)\n", "print(\"Número de flores com largura de pétala maior que 1.2 =\", n12L)\n", "\n", "# A entropia do lado direito (valores menores, ou iguais a 1.2)\n", "H12R = -nSetosa12/n12R * log2(nSetosa12/n12R) - (n12R - nSetosa12)/n12R * log2((n12R - nSetosa12)/n12R)\n", "print(\"H12R =\" , H12R)\n", "\n", "# A entropia do lado esquerdo (valores maiores que 1.2)\n", "H12L = - nVersicolor12/n12L * log2(nVersicolor12/n12L)\n", "print(\"H12L =\" , H12L)\n", "\n", "# O delta de entropia\n", "deltaH12 = H - n12L/(n12L+n12R) * H12L - n12R/(n12L+n12R) * H12R\n", "print(\"DeltaH12 =\", deltaH12)\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Desta maneira, comparando os três deltas, o melhor particionamento dentre esses três seria o 0.8." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Exercício, faça o mesmo para o comprimento da pétala. Para isso, escolha \"Insert\" no menu e \"Insert Cell Bellow\". Depois, copie o conteúdo da célula anterior na célula criada e refaça as contas para o valor do comprimento da pétala. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Vamos agora usar o pacote sklearn e a classe tree para fazer o mesmo problema." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/usr/local/anaconda3/lib/python3.8/site-packages/sklearn/utils/validation.py:67: FutureWarning: Pass criterion=entropy as keyword args. From version 0.25 passing these as positional arguments will result in an error\n", " warnings.warn(\"Pass {} as keyword args. From version 0.25 \"\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Acurácia = 100.0 porcento, como esperado.\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Importa a classe tree\n", "from sklearn import tree\n", "from sklearn.metrics import accuracy_score\n", "\n", "# Cria um objeto decision tree com a medida de impuridade entropy\n", "clf = tree.DecisionTreeClassifier(\"entropy\")\n", "\n", "# Ajusta o classificador sobre o conjunto de dados rotulados\n", "clf.fit(X, Y)\n", "\n", "# Calcula o erro do classificador nos dados de treinamento\n", "Ypredicted = clf.predict(X)\n", "\n", "print(\"Acurácia =\",accuracy_score(Y,Ypredicted)*100,\" porcento, como esperado.\")\n", "\n", "# Apresenta a árvore \n", "# Código copiado de um exemplo da biblioteca\n", "\n", "dot_data = tree.export_graphviz(clf, out_file=None, \n", " feature_names=iris.feature_names, \n", " class_names=iris.target_names, \n", " filled=True, rounded=True, \n", " special_characters=True) \n", "graph = pydotplus.graph_from_dot_data(dot_data) \n", "Image(graph.create_png()) " ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/usr/local/anaconda3/lib/python3.8/site-packages/sklearn/utils/validation.py:67: FutureWarning: Pass criterion=entropy as keyword args. From version 0.25 passing these as positional arguments will result in an error\n", " warnings.warn(\"Pass {} as keyword args. From version 0.25 \"\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Vamos fazer o mesmo para o conjunto todo do Iris. Note como a árvore fica mais profunda \n", "# por conta da mistura de classes.\n", "\n", "X = iris.data\n", "Y = iris.target\n", "\n", "# Cria um objeto decision tree com a medida de impuridade entropy\n", "clfAll = tree.DecisionTreeClassifier(\"entropy\")\n", "\n", "# Ajusta o classificador sobre o conjunto de dados rotulados\n", "clfAll.fit(X, Y)\n", "\n", "# Apresenta a árvore \n", "# Código copiado de um exemplo da biblioteca\n", "\n", "dot_data = tree.export_graphviz(clfAll, out_file=None, \n", " feature_names=iris.feature_names, \n", " class_names=iris.target_names, \n", " filled=True, rounded=True, \n", " special_characters=True) \n", "graph = pydotplus.graph_from_dot_data(dot_data) \n", "Image(graph.create_png()) " ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n", " 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n", " 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2\n", " 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n", " 2 2] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n", " 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1\n", " 1 1 1 2 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 1 2 2 2 2\n", " 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n", " 2 2]\n", "Acurácia = 97.33333333333334 porcento. Note que diminuiu a acurácia.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/usr/local/anaconda3/lib/python3.8/site-packages/sklearn/utils/validation.py:67: FutureWarning: Pass criterion=entropy as keyword args. From version 0.25 passing these as positional arguments will result in an error\n", " warnings.warn(\"Pass {} as keyword args. From version 0.25 \"\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Vamos refazer o mesmo exemplo anterior, mas agora vamos limitar \n", "# a profundidade da árvore e calcular o erro nos dados de treinamento.\n", "# Esta é uma forma usual para regularizar o problema da indução da árvore.\n", "\n", "X = iris.data\n", "Y = iris.target\n", "\n", "# Cria um objeto decision tree com a medida de impuridade entropy\n", "clfAll = tree.DecisionTreeClassifier(\"entropy\",max_depth=3)\n", "\n", "# Ajusta o classificador sobre o conjunto de dados rotulados\n", "clfAll.fit(X, Y)\n", "\n", "# Calcula o erro do classificador nos dados de treinamento\n", "Ypredicted = clfAll.predict(X)\n", "\n", "print(Y,Ypredicted)\n", "\n", "print(\"Acurácia =\",accuracy_score(Y,Ypredicted)*100,\" porcento. Note que diminuiu a acurácia.\")\n", "\n", "# Apresenta a árvore \n", "# Código copiado de um exemplo da biblioteca\n", "\n", "dot_data = tree.export_graphviz(clfAll, out_file=None, \n", " feature_names=iris.feature_names, \n", " class_names=iris.target_names, \n", " filled=True, rounded=True, \n", " special_characters=True) \n", "graph = pydotplus.graph_from_dot_data(dot_data) \n", "Image(graph.create_png()) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Exercício: Experimente refazer o exercício, agora limitando o número de folhas. Para isso, escolha \"Insert\" no menu e \"Insert Cell Bellow\". Depois, copie o conteúdo da célula anterior na célula criada e troque max_depth, por max_leaf_nodes. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Visualizando as superfícies de decisão\n", "\n", "No exemplo abaixo, o notebook apresenta as superficíes de decisão encontradas pelo classificador, induzindo-o par a par de características e, depois, classificando pontos do espaço (2D) formado pelo par escolhido. A escolha dos pontos a serem classificados é feita usando o método meshgrid do numpy, que gera um conjunto de pontos no plano, que não necessariamente correspondem a um objeto real, e classifica-o. Esse mapa de pontos é, então, pintado para a visualização das regiões onde um objeto com aqueles valores de características seria classificado." ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# PRECISA ACERTAR A VISUALIZAÇÃO DESTES GRÁFICOS QUE A SEPARAÇÃO NÃO FICOU BOA\n", "\n", "import numpy as np\n", "\n", "n_classes = 3\n", "plot_colors = \"bry\"\n", "plot_step = 0.02\n", "\n", "# Induz o classificador para cada par de características.\n", "\n", "for pairidx, pair in enumerate([[0, 1], [0, 2], [0, 3],\n", " [1, 2], [1, 3], [2, 3]]):\n", "\n", " # X agora é um conjunto com apenas as características do par.\n", " X = iris.data[:, pair]\n", " Y = iris.target\n", "\n", " # Induz o classificador com X e Y como dados e rótulos.\n", " clf = tree.DecisionTreeClassifier().fit(X, Y)\n", "\n", " # Plot the decision boundary\n", " plt.subplot(2, 3, pairidx + 1)\n", "\n", " x_min, x_max = X[:, 0].min() - 1, X[:, 0].max() + 1\n", " y_min, y_max = X[:, 1].min() - 1, X[:, 1].max() + 1\n", " xx, yy = np.meshgrid(np.arange(x_min, x_max, plot_step),\n", " np.arange(y_min, y_max, plot_step))\n", "\n", " # Classifica os pontos da grade gerada e apresenta-os no gráfico\n", " Z = clf.predict(np.c_[xx.ravel(), yy.ravel()])\n", " Z = Z.reshape(xx.shape)\n", " cs = plt.contourf(xx, yy, Z, cmap=plt.cm.Paired)\n", "\n", " # Escolhe o lugar da figura onde vai ficar o gráfico\n", " plt.xlabel(iris.feature_names[pair[0]])\n", " plt.ylabel(iris.feature_names[pair[1]])\n", " plt.axis(\"tight\")\n", "\n", " # Coloca os pontos de treinamento no gráfico\n", " for i, color in zip(range(n_classes), plot_colors):\n", " idx = np.where(Y == i)\n", " plt.scatter(X[idx, 0], X[idx, 1], c=color, label=iris.target_names[i],\n", " cmap=plt.cm.Paired) \n", " plt.axis(\"tight\")\n", "\n", "plt.suptitle(\"Decision surface of a decision tree using paired features\")\n", "plt.legend()\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": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.5" } }, "nbformat": 4, "nbformat_minor": 2 }