From 13122c68c20f4e5d3924c4a91f4635e77a5c9e01 Mon Sep 17 00:00:00 2001 From: hello19883 Date: Wed, 5 Apr 2017 22:48:15 +0800 Subject: [PATCH 1/2] =?UTF-8?q?=E8=B0=83=E6=95=B4=E7=9B=B8=E4=BC=BC?= =?UTF-8?q?=E5=BA=A6=E8=AE=A1=E7=AE=97=E6=96=B9=E6=B3=95=E9=A1=BA=E5=BA=8F?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- src/python/14.SVD/svdRec.py | 68 ++++++++++++++++++++++++++----------- 1 file changed, 49 insertions(+), 19 deletions(-) diff --git a/src/python/14.SVD/svdRec.py b/src/python/14.SVD/svdRec.py index 1c877e05..a85fe180 100644 --- a/src/python/14.SVD/svdRec.py +++ b/src/python/14.SVD/svdRec.py @@ -6,8 +6,7 @@ from numpy import linalg as la from numpy import * -def loadExData(): - """ +def loadExData3(): # 利用SVD提高推荐效果,菜肴矩阵 return[[2, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5], @@ -21,6 +20,23 @@ def loadExData(): [0, 0, 0, 3, 0, 0, 0, 0, 4, 5, 0], [1, 1, 2, 1, 1, 2, 1, 0, 4, 5, 0]] + +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 loadExData(): # 推荐引擎示例矩阵 return[[4, 4, 0, 2, 2], [4, 0, 0, 3, 3], @@ -38,6 +54,7 @@ def loadExData(): [1, 1, 0, 2, 2], [0, 0, 0, 3, 3], [0, 0, 0, 1, 1]] + """ # 相似度计算,假定inA和inB 都是列向量 @@ -139,14 +156,14 @@ def svdEst(dataMat, user, simMeas, item): userRating = dataMat[user, j] if userRating == 0 or j == item: continue - # 相似度的计算方法也会作为一个参数传递给该函数 - similarity = simMeas(xformedItems[item, :].T,xformedItems[j, :].T) - # for 循环中加入了一条print语句,以便了解相似度计算的进展情况。如果觉得累赘,可以去掉 - print 'the %d and %d similarity is: %f' % (item, j, similarity) - # 对相似度不断累加求和 - simTotal += similarity - # 对相似度及对应评分值的乘积求和 - ratSimTotal += similarity * userRating + # 相似度的计算方法也会作为一个参数传递给该函数 + similarity = simMeas(xformedItems[item, :].T,xformedItems[j, :].T) + # for 循环中加入了一条print语句,以便了解相似度计算的进展情况。如果觉得累赘,可以去掉 + print 'the %d and %d similarity is: %f' % (item, j, similarity) + # 对相似度不断累加求和 + simTotal += similarity + # 对相似度及对应评分值的乘积求和 + ratSimTotal += similarity * userRating if simTotal == 0: return 0 else: @@ -195,7 +212,7 @@ def imgCompress(numSV=3, thresh=0.8): if __name__ == "__main__": """ - # 对矩阵进行SVD分解 + # 对矩阵进行SVD分解(用python实现SVD) Data = loadExData() 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 @@ -224,20 +241,33 @@ if __name__ == "__main__": """ + # 计算相似度的方法 + myMat = mat(loadExData2()) + # print myMat + # 计算相似度的第一种方式 + 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) + """ - # 默认推荐 + # 默认推荐(菜馆菜肴推荐示例) print recommend(myMat, 2) """ """ - # 计算相似度的方法 - # 计算相似度的第一种方式 - # 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) - """ + # 利用SVD提高推荐效果 + U, Sigma, VT = la.svd(mat(loadExData2())) + print Sigma # 计算矩阵的SVD来了解其需要多少维的特征 + Sig2 = Sigma**2 # 计算需要多少个奇异值能达到总能量的90% + print sum(Sig2) # 计算总能量 + print sum(Sig2) * 0.9 # 计算总能量的90% + print sum(Sig2[: 2]) # 计算前两个元素所包含的能量 + print sum(Sig2[: 3]) # 两个元素的能量值小于总能量的90%,于是计算前三个元素所包含的能量 + # 该值高于总能量的90%,这就可以了 """ + # 压缩图片 # imgCompress(2) - """ + + From 499b0ae752d9b83fa046fecc5eb44e703ca43506 Mon Sep 17 00:00:00 2001 From: hello19883 Date: Thu, 6 Apr 2017 20:09:39 +0800 Subject: [PATCH 2/2] =?UTF-8?q?=E6=B7=BB=E5=8A=A014=E7=AB=A0=E6=96=87?= =?UTF-8?q?=E6=A1=A3?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- docs/14.使用SVD简化数据-LSI举例.png | Bin 0 -> 187590 bytes docs/14.使用SVD简化数据-SVD公式.png | Bin 0 -> 26202 bytes docs/14.使用SVD简化数据-余弦相似度.png | Bin 0 -> 64991 bytes 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