From 641896ec2c6ec13473d1817765e42d4e89065964 Mon Sep 17 00:00:00 2001 From: jiangzhonglian Date: Fri, 8 Sep 2017 16:22:19 +0800 Subject: [PATCH 1/3] =?UTF-8?q?=E6=9B=B4=E6=96=B0=20SVD=E9=A1=B9=E7=9B=AE?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- docs/14.利用SVD简化数据.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/docs/14.利用SVD简化数据.md b/docs/14.利用SVD简化数据.md index 995384d4..b7180d92 100644 --- a/docs/14.利用SVD简化数据.md +++ b/docs/14.利用SVD简化数据.md @@ -163,7 +163,7 @@ def loadExData2(): [1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0]] ``` -> 分析数据: 暂时不需要 +> 分析数据: 暂时不需要(当然此处可以对比不同距离之间的差别) > 训练算法: 通过调用 recommend() 函数进行推荐 @@ -312,7 +312,7 @@ def recommend(dataMat, user, N=3, simMeas=cosSim, estMethod=standEst): 问题 * 1)在大规模的数据集上,SVD分解会降低程序的速度 * 2)存在其他很多规模扩展性的挑战性问题,比如矩阵的表示方法和计算相似度得分消耗资源。 -* 3)如何在缺乏数据时给出好的推荐-称为冷启动【简单说:用户不会喜欢一个无效的物品,而用户不喜欢的物品又无效。】 +* 3)如何在缺乏数据时给出好的推荐-称为冷启动【简单说:用户不会喜欢一个无效的物品,而用户不喜欢的物品又无效】 建议 * 1)在大型系统中,SVD分解(可以在程序调入时运行一次)每天运行一次或者其频率更低,并且还要离线运行。 From 14345cb4a09234b0d84be208c2fc358b98dbd024 Mon Sep 17 00:00:00 2001 From: jiangzhonglian Date: Fri, 8 Sep 2017 17:58:05 +0800 Subject: [PATCH 2/3] =?UTF-8?q?=E6=9B=B4=E6=96=B0=20k-means=E8=81=9A?= =?UTF-8?q?=E7=B1=BB=20=E6=96=87=E6=A1=A3?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- docs/10.k-means聚类.md | 8 +++++++- images/10.KMeans/K-Means_首页.jpg | Bin 0 -> 156830 bytes 2 files changed, 7 insertions(+), 1 deletion(-) create mode 100644 images/10.KMeans/K-Means_首页.jpg diff --git a/docs/10.k-means聚类.md b/docs/10.k-means聚类.md index 3a94b324..9ae657a2 100644 --- a/docs/10.k-means聚类.md +++ b/docs/10.k-means聚类.md @@ -1,6 +1,8 @@ # 第 10 章 K-Means(K-均值)聚类算法 +![K-Means(K-均值)聚类算法_首页](/images/10.KMeans/K-Means_首页.jpg) + ## K-Means 算法 聚类是一种无监督的学习, 它将相似的对象归到一个簇中, 将不相似对象归到不同簇中. 相似这一概念取决于所选择的相似度计算方法. @@ -195,4 +197,8 @@ def biKMeans(dataSet, k, distMeas=distEclud): 上述函数可以运行多次,聚类会收敛到全局最小值,而原始的 kMeans() 函数偶尔会陷入局部最小值。 运行参考结果如下: -![二分 K-Means 运行结果1](../images/10.KMeans/apachecn-bikmeans-run-result-1.jpg) \ No newline at end of file +![二分 K-Means 运行结果1](../images/10.KMeans/apachecn-bikmeans-run-result-1.jpg) + +* **作者:[那伊抹微笑](http://www.apache.wiki/display/~xuxin)** +* [GitHub地址](https://github.com/apachecn/MachineLearning): +* **版权声明:欢迎转载学习 => 请标注信息来源于 [ApacheCN](http://www.apachecn.org/)** \ No newline at end of file diff --git a/images/10.KMeans/K-Means_首页.jpg b/images/10.KMeans/K-Means_首页.jpg new file mode 100644 index 0000000000000000000000000000000000000000..f885bc837a439261699cf61c09e61cf629246f6b GIT binary patch literal 156830 zcmb@t1yoc~`!{-EXb=QJ7&-=Nq`Nz$TTr??q#LCihLR8|6(l631?g@9=^kJNq#Fjf zqwoEH?^<_#Yu#A)nK@^EXP5kk!_H_AkxB0G$6R0}25Eu8IP^Fpnsg?7yr3A5X3>uTVVy$={YHuyr%gL;XHP9n`3v zp#abW!T=8-3UC3kKDPcSz5pQa?h)YSXz$=dFN>;KTY7nSSC3adwqBg{s&3ZYob-G= zygYy7{cW?qzW{Ke`>!p~9*_Mu%>5$(h%x~H2>RbJt8@TpXaN90AMcP-=91I0PGY1xJ|ylzxi~3fBPAgKdQ~z 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z_Se}r?=iorowimaecDfRCI(QcSCI@jcd5T|qWzCMUVcMfi|Ox*YlMlK+B{s6%%?p5 xS|EHNyrNgBY71}&%O*R1x_o_hCLXNO5c~wz1QikZ9{xL}0%BRCciFG6{|^^Sw50$5 literal 0 HcmV?d00001 From 7b743711e33ffcd785719bc02d399e36c64de7e7 Mon Sep 17 00:00:00 2001 From: jiangzhonglian Date: Fri, 8 Sep 2017 20:00:21 +0800 Subject: [PATCH 3/3] =?UTF-8?q?=E6=9B=B4=E6=96=B0=20SVD=20=E6=8E=A8?= =?UTF-8?q?=E8=8D=90=E7=B3=BB=E7=BB=9F=E7=9A=84=E6=B3=A8=E9=87=8A?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- docs/14.利用SVD简化数据.md | 53 +++++++++++++++++---------- images/14.SVD/基于物品相似度.jpg | Bin 0 -> 26691 bytes images/14.SVD/基于物品相似度.png | Bin 10552 -> 0 bytes images/14.SVD/欧式距离的计算方式.jpg | Bin 0 -> 65802 bytes images/14.SVD/项目数据导入.jpg | Bin 0 -> 66087 bytes src/python/14.SVD/svdRecommend.py | 22 +++++------ 6 files changed, 44 insertions(+), 31 deletions(-) create mode 100644 images/14.SVD/基于物品相似度.jpg delete mode 100644 images/14.SVD/基于物品相似度.png create mode 100644 images/14.SVD/欧式距离的计算方式.jpg create mode 100644 images/14.SVD/项目数据导入.jpg diff --git a/docs/14.利用SVD简化数据.md b/docs/14.利用SVD简化数据.md index b7180d92..57db185e 100644 --- a/docs/14.利用SVD简化数据.md +++ b/docs/14.利用SVD简化数据.md @@ -142,34 +142,44 @@ `假如一个人在家决定外出吃饭,但是他并不知道该到哪儿去吃饭,该点什么菜。推荐系统可以帮他做到这两点。` - #### 开发流程 > 收集 并 准备数据 +![SVD 矩阵](/images/14.SVD/项目数据导入.jpg) + ```python -def loadExData2(): - # 书上代码给的示例矩阵 - return[[0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 5], - [0, 0, 0, 3, 0, 4, 0, 0, 0, 0, 3], - [0, 0, 0, 0, 4, 0, 0, 1, 0, 4, 0], - [3, 3, 4, 0, 0, 0, 0, 2, 2, 0, 0], - [5, 4, 5, 0, 0, 0, 0, 5, 5, 0, 0], - [0, 0, 0, 0, 5, 0, 1, 0, 0, 5, 0], - [4, 3, 4, 0, 0, 0, 0, 5, 5, 0, 1], - [0, 0, 0, 4, 0, 4, 0, 0, 0, 0, 4], - [0, 0, 0, 2, 0, 2, 5, 0, 0, 1, 2], - [0, 0, 0, 0, 5, 0, 0, 0, 0, 4, 0], - [1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0]] +def loadExData3(): + # 利用SVD提高推荐效果,菜肴矩阵 + """ + 行:代表人 + 列:代表菜肴名词 + 值:代表人对菜肴的评分,0表示未评分 + """ + return[[2, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5], + [0, 0, 0, 0, 0, 0, 0, 1, 0, 4, 0], + [3, 3, 4, 0, 3, 0, 0, 2, 2, 0, 0], + [5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 0], + [4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 5], + [0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4], + [0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 0], + [0, 0, 0, 3, 0, 0, 0, 0, 4, 5, 0], + [1, 1, 2, 1, 1, 2, 1, 0, 4, 5, 0]] ``` -> 分析数据: 暂时不需要(当然此处可以对比不同距离之间的差别) +> 分析数据: 这里不做过多的讨论(当然此处可以对比不同距离之间的差别) > 训练算法: 通过调用 recommend() 函数进行推荐 -* 基于物品相似度(参考地址:http://www.codeweblog.com/svd-%E7%AC%94%E8%AE%B0/) +recommend() 会调用 基于物品相似度 或者是 基于SVD,得到推荐的物品评分。 -![基于物品相似度](/images/14.SVD/基于物品相似度.png) +* 1.基于物品相似度 + +![基于物品相似度](/images/14.SVD/基于物品相似度.jpg) + +![欧式距离的计算方式](/images/14.SVD/欧式距离的计算方式.jpg) ```python # 基于物品相似度的推荐引擎 @@ -217,7 +227,7 @@ def standEst(dataMat, user, simMeas, item): return ratSimTotal/simTotal ``` -* 基于SVD(参考地址:http://www.codeweblog.com/svd-%E7%AC%94%E8%AE%B0/) +* 2.基于SVD(参考地址:http://www.codeweblog.com/svd-%E7%AC%94%E8%AE%B0/) ![基于SVD.png](/images/14.SVD/基于SVD.png) @@ -295,7 +305,7 @@ def recommend(dataMat, user, N=3, simMeas=cosSim, estMethod=standEst): return sorted(itemScores, key=lambda jj: jj[1], reverse=True)[: N] ``` -> 测试 和 使用 该算法,可以自行编写 +> 测试 和 项目调用,可直接参考我们的代码 [完整代码地址](https://github.com/apachecn/MachineLearning/blob/master/src/python/14.SVD/svdRecommend.py): @@ -342,7 +352,7 @@ def imgLoadData(filename): > 分析数据: 分析 Sigma 的长度个数 -通常保留矩阵 80% ~ 90% 的能量,就可以得到重要的特征并取出噪声。 +通常保留矩阵 80% ~ 90% 的能量,就可以得到重要的特征并去除噪声。 ```python def analyse_data(Sigma, loopNum=20): @@ -367,6 +377,9 @@ def analyse_data(Sigma, loopNum=20): > 使用算法: 对比使用 SVD 前后的数据差异对比,对于存储大家可以试着写写 + +例如:`32*32=1024 => 32*2+2*1+32*2=130`(2*1表示去掉了除对角线的0), 几乎获得了10倍的压缩比。 + ```python # 打印矩阵 def printMat(inMat, thresh=0.8): diff --git a/images/14.SVD/基于物品相似度.jpg b/images/14.SVD/基于物品相似度.jpg new file mode 100644 index 0000000000000000000000000000000000000000..facb42aa0c5fa7d82ded44b0e8569159ab122128 GIT binary patch literal 26691 zcmdSA2V7H2_cpp|(xoUUAVulYq$?nZND~nOl_o@bi2>;#C5ja3O+Z0FdMASPDqTQ2 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Liy#?TLNosdc~s3b literal 0 HcmV?d00001 diff --git a/src/python/14.SVD/svdRecommend.py b/src/python/14.SVD/svdRecommend.py index b0ddb0fa..18a803f9 100644 --- a/src/python/14.SVD/svdRecommend.py +++ b/src/python/14.SVD/svdRecommend.py @@ -303,15 +303,15 @@ def imgCompress(numSV=3, thresh=0.8): if __name__ == "__main__": # # 对矩阵进行SVD分解(用python实现SVD) - Data = loadExData() - print 'Data:', Data - U, Sigma, VT = linalg.svd(Data) + # Data = loadExData() + # print 'Data:', Data + # U, Sigma, VT = linalg.svd(Data) # # 打印Sigma的结果,因为前3个数值比其他的值大了很多,为9.72140007e+00,5.29397912e+00,6.84226362e-01 # # 后两个值比较小,每台机器输出结果可能有不同可以将这两个值去掉 - print 'U:', U - print 'Sigma', Sigma - print 'VT:', VT - print 'VT:', VT.T + # print 'U:', U + # print 'Sigma', Sigma + # print 'VT:', VT + # print 'VT:', VT.T # # 重构一个3x3的矩阵Sig3 # Sig3 = mat([[Sigma[0], 0, 0], [0, Sigma[1], 0], [0, 0, Sigma[2]]]) @@ -335,15 +335,15 @@ if __name__ == "__main__": """ # 计算相似度的方法 - # myMat = mat(loadExData2()) + myMat = mat(loadExData3()) # print myMat # 计算相似度的第一种方式 - # print recommend(myMat, 1, estMethod=svdEst) + print recommend(myMat, 1, estMethod=svdEst) # 计算相似度的第二种方式 - # print recommend(myMat, 1, estMethod=svdEst, simMeas=pearsSim) + print recommend(myMat, 1, estMethod=svdEst, simMeas=pearsSim) # 默认推荐(菜馆菜肴推荐示例) - # print recommend(myMat, 2) + print recommend(myMat, 2) """ # 利用SVD提高推荐效果