From 7b743711e33ffcd785719bc02d399e36c64de7e7 Mon Sep 17 00:00:00 2001 From: jiangzhonglian Date: Fri, 8 Sep 2017 20:00:21 +0800 Subject: [PATCH] =?UTF-8?q?=E6=9B=B4=E6=96=B0=20SVD=20=E6=8E=A8=E8=8D=90?= =?UTF-8?q?=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 z1nJVHC)5Zbxf{v?A5zv90Ew6|5%RR974 z08j(}0Q@X)L)pXD3IH@Ufy)2@kO2fiwg53$0#yKJ@B{$D_k@2)2+ZFT{i~dK@+E!) zxO&gV!NtMZ#^EW4xbPL=>P>Y`;u8zt@w3eRvq(G48a5UQloGEzCx5e!x#^3aBlK5S 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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