From 95a2b410f1d703d624d97a2c8313cd6e1fd31f11 Mon Sep 17 00:00:00 2001 From: jiangzhonglian Date: Tue, 25 Apr 2017 23:23:33 +0800 Subject: [PATCH 1/2] =?UTF-8?q?=E4=BF=AE=E6=94=B9=E4=BA=86=E5=86=B3?= =?UTF-8?q?=E7=AD=96=E6=A0=91=EF=BC=8C=E6=B7=BB=E5=8A=A0=E4=BA=86=E9=9A=8F?= =?UTF-8?q?=E6=9C=BA=E6=A3=AE=E6=9E=97?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- docs/3.决策树.md | 16 +- .../3.DecisionTree/DecisionTree_headpage.jpg | Bin 0 -> 159980 bytes images/3.DecisionTree/决策树-流程图.jpg | Bin 0 -> 59811 bytes input/7.RandomForest/sonar-all-data.txt | 208 ++++++++++++++++ src/python/7.RandomForest/randomForest.py | 222 ++++++++++++++++++ 5 files changed, 445 insertions(+), 1 deletion(-) create mode 100644 images/3.DecisionTree/DecisionTree_headpage.jpg create mode 100644 images/3.DecisionTree/决策树-流程图.jpg create mode 100755 input/7.RandomForest/sonar-all-data.txt create mode 100644 src/python/7.RandomForest/randomForest.py diff --git a/docs/3.决策树.md b/docs/3.决策树.md index 7f0bd058..bc553344 100644 --- a/docs/3.决策树.md +++ b/docs/3.决策树.md @@ -1,7 +1,21 @@ -# 3) 决策树 +# 第3章 决策树 +![决策树_首页](/images/3.DecisionTree/DecisionTree_headpage.jpg) + +## 决策树简介 + +![决策树-流程图](/images/3.DecisionTree/决策树-流程图.jpg) + + +## 在数据集中度量一致性 + +## 使用递归构造决策树 + +## 使用Matplotlib绘制树形图 + + * 决策树是什么? * 顾名思义,是一种树,一种依托于策略抉择而建立起来的树。 * 从数据产生决策树的机器学习技术叫做决策树学习, 通俗点说就是决策树。 diff --git a/images/3.DecisionTree/DecisionTree_headpage.jpg b/images/3.DecisionTree/DecisionTree_headpage.jpg new file mode 100644 index 0000000000000000000000000000000000000000..efdbe3808f7e873ed457f8cd7b18c836ccde343f GIT binary patch literal 159980 zcmb@s2Q*yI|37@!>YWfoXY~>-I;(|6qSqjLjoy2Wn$=4XHHa3yheWqJK|~8;u@TWr zbkBZ1-{<%Lp7WglIZrvyd-u+L-MMq;&THm%Qe1OPDf54isc z$UXIUv;%2P+ z=H=k#&Lqq)0EjE7KF9ng2ekc*+5Uy3bM)}VWS|jqCmb*P&xJzh{RYNsRYgT}Egel| z)n`xtEfj{grMtWHKNq{WdVA`qC@>irzhJ^y0SEv>fEgP z6ur@*Jwpj#0>l6TKmy05JT&aaLIX(AEV2)T956gA@P& 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min_size: + node['right'] = to_terminal(right) + else: + node['right'] = get_split(right, n_features) + split(node['right'], max_depth, min_size, n_features, depth+1) + + +# Build a decision tree +def build_tree(train, max_depth, min_size, n_features): + #root = get_split(dataset, n_features) + root = get_split(train, n_features) + split(root, max_depth, min_size, n_features, 1) + return root + + +# Make a prediction with a decision tree +def predict(node, row): #预测模型分类结果 + if row[node['index']] < node['value']: + if isinstance(node['left'], dict): #isinstance是Python中的一个内建函数。是用来判断一个对象是否是一个已知的类型。 + return predict(node['left'], row) + else: + return node['left'] + else: + if isinstance(node['right'], dict): + return predict(node['right'], row) + else: + return node['right'] + + +# Make a prediction with a list of bagged trees +def bagging_predict(trees, row): + predictions = [predict(tree, row) for tree in trees] #使用多个决策树trees对测试集test的第row行进行预测,再使用简单投票法判断出该行所属分类 + return max(set(predictions), key=predictions.count) + + +# Create a random subsample from the dataset with replacement +def subsample(dataset, ratio): #创建数据集的随机子样本 + sample = list() + n_sample = round(len(dataset) * ratio) #round() 方法返回浮点数x的四舍五入值。 + while len(sample) < n_sample: + index = randrange(len(dataset)) #有放回的随机采样,有一些样本被重复采样,从而在训练集中多次出现,有的则从未在训练集中出现,此则自助采样法。从而保证每棵决策树训练集的差异性 + sample.append(dataset[index]) + return sample + + +# Random Forest Algorithm +def random_forest(train, test, max_depth, min_size, sample_size, n_trees, n_features): + trees = list() + for i in range(n_trees): #n_trees表示决策树的数量 + sample = subsample(train, sample_size) #随机采样保证了每棵决策树训练集的差异性 + tree = build_tree(sample, max_depth, min_size, n_features) #建立一个决策树 + trees.append(tree) + predictions = [bagging_predict(trees, row) for row in test] + return(predictions) + + +# Evaluate an algorithm using a cross validation split +def evaluate_algorithm(dataset, algorithm, n_folds, *args): #评估算法性能,返回模型得分 + folds = cross_validation_split(dataset, n_folds) + scores = list() + for fold in folds: #每次循环从folds从取出一个fold作为测试集,其余作为训练集,遍历整个folds,实现交叉验证 + train_set = list(folds) + train_set.remove(fold) + train_set = sum(train_set, []) #将多个fold列表组合成一个train_set列表 + test_set = list() + for row in fold: #fold表示从原始数据集dataset提取出来的测试集 + row_copy = list(row) + test_set.append(row_copy) + row_copy[-1] = None + predicted = algorithm(train_set, test_set, *args) + actual = [row[-1] for row in fold] + accuracy = accuracy_metric(actual, predicted) + scores.append(accuracy) + return scores + + +if __name__ == '__main__': + + # 加载数据 + dataset = loadDataSet('input/7.RandomForest/sonar-all-data.txt') + # print dataset + + n_folds = 5 #分成5份数据,进行交叉验证 + #max_depth = 10 #递归十次 + max_depth = 20 #调参(自己修改) #决策树深度不能太深,不然容易导致过拟合 + min_size = 1 + sample_size = 1.0 + #n_features = int(sqrt(len(dataset[0])-1)) + n_features =15 #调参(自己修改) #准确性与多样性之间的权衡 + for n_trees in [1,5,10]: #理论上树是越多越好 + scores = evaluate_algorithm(dataset, random_forest, n_folds, max_depth, min_size, sample_size, n_trees, n_features) + # 每一次执行本文件时都能产生同一个随机数 + seed(1) + print 'random=', random() + print('Trees: %d' % n_trees) + print('Scores: %s' % scores) + print('Mean Accuracy: %.3f%%' % (sum(scores)/float(len(scores)))) From b8423859d6af6afcd7de0a68995d6e3de9c847ed Mon Sep 17 00:00:00 2001 From: jiangzhonglian Date: Thu, 27 Apr 2017 21:10:30 +0800 Subject: [PATCH 2/2] =?UTF-8?q?=E8=A1=A5=E5=85=85=E4=BA=86=E9=9A=8F?= =?UTF-8?q?=E6=9C=BA=E6=A3=AE=E6=9E=97=E5=86=85=E5=AE=B9?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- README.md | 5 +- docs/7.随机森林的使用.md | 32 ++++ images/7.RandomForest/RandomForest_Flow.jpg | Bin 0 -> 87462 bytes images/7.RandomForest/数据重抽样.jpg | Bin 0 -> 111166 bytes images/7.RandomForest/特征重抽样.jpg | Bin 0 -> 15045 bytes src/python/7.RandomForest/randomForest.py | 179 +++++++++++++++----- 6 files changed, 173 insertions(+), 43 deletions(-) create mode 100644 docs/7.随机森林的使用.md create mode 100644 images/7.RandomForest/RandomForest_Flow.jpg create mode 100644 images/7.RandomForest/数据重抽样.jpg create mode 100644 images/7.RandomForest/特征重抽样.jpg diff --git a/README.md b/README.md index c5902bb4..400d85b6 100644 --- a/README.md +++ b/README.md @@ -1,6 +1,7 @@ # MachineLearning -**Machine Learning in Action (python) | [ApacheCN(apache中文网)](http://www.apache.wiki)** +* **欢迎任何人参与和完善:一个人可以走的很快,但是一群人却可以走的更远** +* **Machine Learning in Action (python) | [ApacheCN(apache中文网)](http://www.apache.wiki)** ## 第一部分 分类 @@ -18,6 +19,8 @@ * [支持向量机](./docs/6.支持向量机.md) * 7) 利用AdaBoost元算法提高分类 * [利用AdaBoost元算法提高分类](./docs/7.利用AdaBoost元算法提高分类.md) +* 7) 随机森林的使用(个人补充,非课本内容) + * [随机森林的使用](./docs/7.随机森林的使用.md) ## 第二部分 利用回归预测数值型数据 diff --git a/docs/7.随机森林的使用.md b/docs/7.随机森林的使用.md new file mode 100644 index 00000000..d30002d0 --- /dev/null +++ b/docs/7.随机森林的使用.md @@ -0,0 +1,32 @@ +# 第7章 随机森林的使用(个人补充,非课本内容) + +## 基本介绍 + +* 随机森林指的是利用多棵树对样本进行训练并预测的一种分类器。 +* 决策树相当于一个大师,通过自己在数据集中学到的知识对于新的数据进行分类。但是俗话说得好,一个诸葛亮,玩不过三个臭皮匠。随机森林就是希望构建多个臭皮匠,希望最终的分类效果能够超过单个大师的一种算法。 + +## 构造流程 + +* 那随机森林具体如何构建呢?有两个方面:数据的随机性选取,以及待选特征的随机选取。 + +> 数据的随机选取: + +``` +首先,从原始的数据集中采取有放回的抽样,构造子数据集,子数据集的数据量是和原始数据集相同的。不同子数据集的元素可以重复,同一个子数据集中的元素也可以重复。 +第二,利用子数据集来构建子决策树,将这个数据放到每个子决策树中,每个子决策树输出一个结果。 +最后,如果有了新的数据需要通过随机森林得到分类结果,就可以通过对子决策树的判断结果的投票,得到随机森林的输出结果了。 +如下图,假设随机森林中有3棵子决策树,2棵子树的分类结果是A类,1棵子树的分类结果是B类,那么随机森林的分类结果就是A类。 +``` +![数据重抽样](/images/7.RandomForest/数据重抽样.jpg) + +> 待选特征的随机选取 + +``` +与数据集的随机选取类似,随机森林中的子树的每一个分裂过程并未用到所有的待选特征,而是从所有的待选特征中随机选取一定的特征,之后再在随机选取的特征中选取最优的特征。这样能够使得随机森林中的决策树都能够彼此不同,提升系统的多样性,从而提升分类性能。 +下图中,蓝色的方块代表所有可以被选择的特征,也就是目前的待选特征。黄色的方块是分裂特征。左边是一棵决策树的特征选取过程,通过在待选特征中选取最优的分裂特征(别忘了前文提到的ID3算法,C4.5算法,CART算法等等),完成分裂。右边是一个随机森林中的子树的特征选取过程。 +``` +![特征重抽样](/images/7.RandomForest/特征重抽样.jpg) + +> 随机森林-流程图 + +![随机森林-流程图](/images/7.RandomForest/RandomForest_Flow.jpg) diff --git a/images/7.RandomForest/RandomForest_Flow.jpg b/images/7.RandomForest/RandomForest_Flow.jpg new file mode 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