diff --git a/KMeans/kmeans.py b/KMeans/kmeans.py
index 464c57c..dab9f58 100644
--- a/KMeans/kmeans.py
+++ b/KMeans/kmeans.py
@@ -1,170 +1,144 @@
-#coding=utf-8
-
-'''
-@author: wepon, http://2hwp.com
-Reference:
- Book: <<Machine Learning in Action>>
- Software: sklearn.cluster.KMeans
-
-'''
import numpy as np
-class KMeans(object):
- """
- - 参数
- n_clusters:
- 聚类个数，即k
- initCent:
- 质心初始化方式，可选"random"或指定一个具体的array,默认random，即随机初始化
- max_iter:
- 最大迭代次数
- """
- def __init__(self,n_clusters=5,initCent='random',max_iter=300):
- if hasattr(initCent, '__array__'):
- n_clusters = initCent.shape[0]
- self.centroids = np.asarray(initCent, dtype=np.float)
- else:
- self.centroids = None
-
+class KMeans:
+ def __init__(self, n_clusters=5, initCent='random', max_iter=300):
self.n_clusters = n_clusters
self.max_iter = max_iter
self.initCent = initCent
- self.clusterAssment = None
- self.labels = None
- self.sse = None
-
- #计算两点的欧式距离
- def _distEclud(self, vecA, vecB):
+ self.centroids = None
+ self.cluster_assessment = None
+ self.labels = None
+ self.sse = None
+
+ def _dist_euclidean(self, vecA, vecB):
return np.linalg.norm(vecA - vecB)
-
- #随机选取k个质心,必须在数据集的边界内
- def _randCent(self, X, k):
- n = X.shape[1] #特征维数
- centroids = np.empty((k,n)) #k*n的矩阵，用于存储质心
- for j in range(n): #产生k个质心，一维一维地随机初始化
- minJ = min(X[:,j])
- rangeJ = float(max(X[:,j]) - minJ)
- centroids[:,j] = (minJ + rangeJ * np.random.rand(k,1)).flatten()
+
+ def _rand_centroids(self, X):
+ n = X.shape[1]
+ centroids = np.empty((self.n_clusters, n))
+ for j in range(n):
+ min_j = min(X[:, j])
+ range_j = float(max(X[:, j]) - min_j)
+ centroids[:, j] = (min_j + range_j * np.random.rand(self.n_clusters))
return centroids
-
+
def fit(self, X):
- #类型检查
- if not isinstance(X,np.ndarray):
- try:
+ try:
+ if not isinstance(X, np.ndarray):
X = np.asarray(X)
- except:
- raise TypeError("numpy.ndarray required for X")
-
- m = X.shape[0]#m代表样本数量
- self.clusterAssment = np.empty((m,2))#m*2的矩阵，第一列存储样本点所属的族的索引值，
- #第二列存储该点与所属族的质心的平方误差
+ except:
+ raise TypeError("numpy.ndarray required for X")
+
+ m = X.shape[0
+ self.cluster_assessment = np.empty((m, 2))
if self.initCent == 'random':
- self.centroids = self._randCent(X, self.n_clusters)
-
- clusterChanged = True
+ self.centroids = self._rand_centroids(X)
+
for _ in range(self.max_iter):
- clusterChanged = False
- for i in range(m):#将每个样本点分配到离它最近的质心所属的族
- minDist = np.inf; minIndex = -1
+ cluster_changed = False
+ for i in range(m):
+ min_dist = np.inf
+ min_index = -1
for j in range(self.n_clusters):
- distJI = self._distEclud(self.centroids[j,:],X[i,:])
- if distJI < minDist:
- minDist = distJI; minIndex = j
- if self.clusterAssment[i,0] != minIndex:
- clusterChanged = True
- self.clusterAssment[i,:] = minIndex,minDist**2
-
- if not clusterChanged:#若所有样本点所属的族都不改变,则已收敛，结束迭代
- break
- for i in range(self.n_clusters):#更新质心，即将每个族中的点的均值作为质心
- ptsInClust = X[np.nonzero(self.clusterAssment[:,0]==i)[0]]#取出属于第i个族的所有点
- self.centroids[i,:] = np.mean(ptsInClust, axis=0)
-
- self.labels = self.clusterAssment[:,0]
- self.sse = sum(self.clusterAssment[:,1])
-
-
- def predict(self,X):#根据聚类结果，预测新输入数据所属的族
- #类型检查
- if not isinstance(X,np.ndarray):
- try:
+ dist_ji = self._dist_euclidean(self.centroids[j, :], X[i, :])
+ if dist_ji < min_dist:
+ min_dist = dist_ji
+ min_index = j
+ if self.cluster_assessment[i, 0] != min_index:
+ cluster_changed = True
+ self.cluster_assessment[i, :] = min_index, min_dist ** 2
+
+ if not cluster_changed:
+ break
+ for i in range(self.n_clusters):
+ pts_in_cluster = X[np.where(self.cluster_assessment[:, 0] == i)[0]]
+ self.centroids[i, :] = np.mean(pts_in_cluster, axis=0)
+
+ self.labels = self.cluster_assessment[:, 0]
+ self.sse = sum(self.cluster_assessment[:, 1])
+
+ def predict(self, X):
+ try:
+ if not isinstance(X, np.ndarray):
X = np.asarray(X)
- except:
- raise TypeError("numpy.ndarray required for X")
-
- m = X.shape[0]#m代表样本数量
+ except:
+ raise TypeError("numpy.ndarray required for X")
+
+ m = X.shape[0
preds = np.empty((m,))
- for i in range(m):#将每个样本点分配到离它最近的质心所属的族
- minDist = np.inf
+ for i in range(m):
+ min_dist = np.inf
for j in range(self.n_clusters):
- distJI = self._distEclud(self.centroids[j,:],X[i,:])
- if distJI < minDist:
- minDist = distJI
+ dist_ji = self._dist_euclidean(self.centroids[j, :], X[i, :])
+ if dist_ji < min_dist:
+ min_dist = dist_ji
preds[i] = j
return preds
-
-
-class biKMeans(object):
- def __init__(self,n_clusters=5):
+
+class BiKMeans:
+ def __init__(self, n_clusters=5):
self.n_clusters = n_clusters
self.centroids = None
- self.clusterAssment = None
+ self.cluster_assessment = None
self.labels = None
self.sse = None
-
-
- #计算两点的欧式距离
- def _distEclud(self, vecA, vecB):
+
+ def _dist_euclidean(self, vecA, vecB):
return np.linalg.norm(vecA - vecB)
-
- def fit(self,X):
- m = X.shape[0]
- self.clusterAssment = np.zeros((m,2))
+
+ def fit(self, X):
+ try:
+ if not isinstance(X, np.ndarray):
+ X = np.asarray(X)
+ except:
+ raise TypeError("numpy.ndarray required for X")
+
+ m = X.shape[0
+ self.cluster_assessment = np.zeros((m, 2))
centroid0 = np.mean(X, axis=0).tolist()
- centList =[centroid0]
- for j in range(m):#计算每个样本点与质心之间初始的平方误差
- self.clusterAssment[j,1] = self._distEclud(np.asarray(centroid0), X[j,:])**2
-
- while (len(centList) < self.n_clusters):
- lowestSSE = np.inf
- for i in range(len(centList)):#尝试划分每一族,选取使得误差最小的那个族进行划分
- ptsInCurrCluster = X[np.nonzero(self.clusterAssment[:,0]==i)[0],:]
+ cent_list = [centroid0]
+
+ for j in range(m):
+ self.cluster_assessment[j, 1] = self._dist_euclidean(np.asarray(centroid0), X[j, :]) ** 2
+
+ while len(cent_list) < self.n_clusters:
+ lowest_sse = np.inf
+ for i in range(len(cent_list)):
+ pts_in_curr_cluster = X[np.where(self.cluster_assessment[:, 0] == i)[0], :]
clf = KMeans(n_clusters=2)
- clf.fit(ptsInCurrCluster)
- centroidMat, splitClustAss = clf.centroids, clf.clusterAssment#划分该族后，所得到的质心、分配结果及误差矩阵
- sseSplit = sum(splitClustAss[:,1])
- sseNotSplit = sum(self.clusterAssment[np.nonzero(self.clusterAssment[:,0]!=i)[0],1])
- if (sseSplit + sseNotSplit) < lowestSSE:
- bestCentToSplit = i
- bestNewCents = centroidMat
- bestClustAss = splitClustAss.copy()
- lowestSSE = sseSplit + sseNotSplit
- #该族被划分成两个子族后,其中一个子族的索引变为原族的索引，另一个子族的索引变为len(centList),然后存入centList
- bestClustAss[np.nonzero(bestClustAss[:,0] == 1)[0],0] = len(centList)
- bestClustAss[np.nonzero(bestClustAss[:,0] == 0)[0],0] = bestCentToSplit
- centList[bestCentToSplit] = bestNewCents[0,:].tolist()
- centList.append(bestNewCents[1,:].tolist())
- self.clusterAssment[np.nonzero(self.clusterAssment[:,0] == bestCentToSplit)[0],:]= bestClustAss
-
- self.labels = self.clusterAssment[:,0]
- self.sse = sum(self.clusterAssment[:,1])
- self.centroids = np.asarray(centList)
-
- def predict(self,X):#根据聚类结果，预测新输入数据所属的族
- #类型检查
- if not isinstance(X,np.ndarray):
- try:
+ clf.fit(pts_in_curr_cluster)
+ centroid_mat, split_cluster_assessment = clf.centroids, clf.cluster_assessment
+ sse_split = sum(split_cluster_assessment[:, 1])
+ sse_not_split = sum(self.cluster_assessment[np.where(self.cluster_assessment[:, 0] != i)[0], 1])
+ if (sse_split + sse_not_split) < lowest_sse:
+ best_cent_to_split = i
+ best_new_cents = centroid_mat
+ best_cluster_assessment = split_cluster_assessment.copy()
+ lowest_sse = sse_split + sse_not_split
+ best_cluster_assessment[np.where(best_cluster_assessment[:, 0] == 1)[0], 0] = len(cent_list)
+ best_cluster_assessment[np.where(best_cluster_assessment[:, 0] == 0)[0], 0] = best_cent_to_split
+ cent_list[best_cent_to_split] = best_new_cents[0, :].tolist()
+ cent_list.append(best_new_cents[1, :].tolist()
+ self.cluster_assessment[np.where(self.cluster_assessment[:, 0] == best_cent_to_split)[0], :] = best_cluster_assessment
+
+ self.labels = self.cluster_assessment[:, 0]
+ self.sse = sum(self.cluster_assessment[:, 1])
+ self.centroids = np.asarray(cent_list)
+
+ def predict(self, X):
+ try:
+ if not isinstance(X, np.ndarray):
X = np.asarray(X)
- except:
- raise TypeError("numpy.ndarray required for X")
-
- m = X.shape[0]#m代表样本数量
+ except:
+ raise TypeError("numpy.ndarray required for X")
+
+ m = X.shape[0
preds = np.empty((m,))
- for i in range(m):#将每个样本点分配到离它最近的质心所属的族
- minDist = np.inf
+ for i in range(m):
+ min_dist = np.inf
for j in range(self.n_clusters):
- distJI = self._distEclud(self.centroids[j,:],X[i,:])
- if distJI < minDist:
- minDist = distJI
+ dist_ji = self._dist_euclidean(self.centroids[j, :], X[i, :])
+ if dist_ji < min_dist:
+ min_dist = dist_ji
preds[i] = j
return preds