[b] (一)相关概念[/b][br][br] 关联规则最常用的是 Apriori 算法,同时也是发现频繁项集的一种方法。所谓频繁项集,是指由独立事件组成的项目交集频繁发生且达到预期值的集合,其严谨的表述方法还需要如下几个概念的引入:[br][br] 支持度:几个关联的项目组成的项集在总事项中出现的次数占总事项数量的比例。[br] [br] [math]\text{support( X\longrightarrow Y)=P (XY )}=\frac{number\left(XY\right)}{\text{num(allsamples)}}[/math][br][br] 以表 2-5-1 为例,设有规则{牛奶,尿布}→{啤酒},项集{牛奶,尿布,啤酒}在第 2、3事项中出现过,出现次数为 2,而总事项数为 5,则该规则的支持度为 [math]\frac{2}{5}[/math]。[br] [br] 置信度:一个项集出现后,另一个项集出现的概率,或者说前件与后件的条件概率。[br] [br] [math]confidence(X\longrightarrow Y)=P(Y|X)=\frac{P\left(XY\right)}{P\left(X\right)}[/math][br][br] 仍以规则{牛奶,尿布}→{啤酒}为例,其置信度是指在{牛奶,尿布}出现的情况下,{啤酒}出现的概率,遍历整个事项集,{牛奶,尿布}这一项集共出现 3 次,分别在 3、4、5 事项,但既有{牛奶,尿布},又有{啤酒}的事项只有 2 次,分别在 3、4 事项,所以该规则的支持度为[math]\frac{2}{3}[/math]。[br][br] 提升度:项集 X 的出现对项集 Y 的出现概率提升的程度。[br] [math]lift(X\longrightarrow Y)=\frac{\text{confidence( X\longrightarrow Y)}}{\text{support(Y )}}[/math][br] [br] [math]lift(X\longrightarrow Y)>1[/math]:代表有提升。[br][br] [math]lift(X\longrightarrow Y)=1[/math]:代表没有提升也没有下降。[br][br] [math]lift(X\longrightarrow Y)<1[/math]:代表有下降。[br][br] 仍以规则{牛奶,尿布}→{啤酒}为例,其置信度为 [math]\frac{2}{3}[/math],{啤酒}这一项集的支持度为 [math]\frac{3}{5}[/math],[br]则其提升度为[math]\frac{2}{3}\div\frac{3}{5}=\frac{10}{9}>1[/math],说明{牛奶,尿布}这一项集对{啤酒}出现次数是有提升作用的。[br][br] 频繁项集:支持度大于或等于某个阈值的项集。例如,阈值设为 50%时,因为{牛奶,尿布}的支持度是 60%,所以它是频繁项集。[br][br] 项集的超集:包含某个项集的元素且元素个数更多的项集。比如{牛奶,尿布}这个项集,它的超集可以是{牛奶,尿布,啤酒},也可以是{牛奶,尿布,啤酒,可乐}。[br][br]项集的子集:与超集相反,子集是指包含某个项集的一部分,且元素个数更少的项集。[br]比如{牛奶,尿布,啤酒,可乐}这个项集,它的子集可以是{牛奶,尿布,啤酒},也可以是{牛奶,尿布}或{牛奶}。
(二)算法原理 [br] [br] 有很多人经过以上介绍,直观的感觉是通过遍历法就可以解决问题。事实上,当项目足够多的时候,会产生组合爆炸,即两个两个组合,三个三个组合,四个四个组合等都要遍历一遍,对于数据库的压力是非常大的。一般包含 d 项的数据集中提取可能的规则总数有[math]\text{R=3^d-2^{\left(d+1\right)}+ 1 }[/math] 个。比如表 2-5-1 的项集中 [math]d=6[/math] ,则会产生 [math]R=602[/math] 条规则。对于成百上千个项目,其规则是天文数字,甚至是计算机无法完成的,这时候就需要采用 Apriori 算法。[br][br] Apriori 算法的核心思想:[br] (1)频繁项的非空子集肯定频繁。[br] (2)如果一个项不频繁,那么它的超项肯定不频繁。[br][br] 如图 2-5-1 所示,AB 是非频繁项,则 ABC、ABD、ABE、ABCD、ABCE、ABDE、ABCDE均为非频繁项。在数据库扫描寻找频繁项集的时候,就可以排除扫描非频繁项,从而减轻数据库的负担。[br][br] 关联分析的目标:[br][br] 发现频繁项集——发现满足最小支持度的所有项集;[br] 发现关联规则——从频繁项集中提取所有高置信度的规则。
[center][size=100]图2-5-1 Apriori 算法核心示意图[/size][/center][center][/center]
(三)算法流程[br][br] 输入:数据集合 D,支持度阈值 a。[br] 输出:最大的频繁[math]K[/math]项集。[br][br] (1)扫描整个数据集,得到所有出现过的数据,作为候选频繁 1 项集。 [math]K=1[/math],频繁 0 项集为空集。[br] (2)挖掘频繁[math]K[/math]项集。[br] ① 扫描数据计算候选频繁[math]K[/math]项集的支持度。[br] ② 去除候选频繁[math]K[/math]项集中支持度低于阈值的数据集,得到频繁[math]K[/math]项集。如果得到的频繁[math]K[/math]项集为空,则直接返回频繁 [math]K-1[/math] 项集的集合作为算法结果,算法结束。如果得到的频繁[math]K[/math]项集只有一项,则直接返回频繁[math]K[/math]项集的集合作为算法结果,算法结束。[br] ③ 基于频繁[math]K[/math]项集,连接生成候选频繁[math]K+1[/math]项集。[br] (3)令 [math]K=K+1[/math],转入步骤(2)。[br][br] [size=100] 以表 2-5-2 中的数据为例。[/size][br][center]表2-5-2 示例数据集[/center][center][img]https://s21.ax1x.com/2025/02/14/pEKKCff.png[/img][/center] ① 设置支持度阈值,设最小支持度计数为 2。[br] ② 扫描集合 D,对每个候选项集的支持度计数,删除没有达到最小支持度计数的项集,即修剪非频繁项,形成 [math]K_1[/math],如表 2-5-3 所示。[br][size=85] [size=100] 表 2-5-3 [math]K_1[/math]集[/size][/size][br] 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[/img][br][br] ③ 由 [math]K_1[/math]产生候选集 [math]C_2[/math](见表 2-5-4),并再次扫描 D,计算候选项集的支持度计数,修剪非频繁项,形成 [math]K_2[/math],如表 2-5-5 所示。[br][br][size=85] [size=100] 表 2-5-4 [math]C_2[/math][/size][/size][br] 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[/img][br][br][size=85] [size=100] 表 2-5-5 [math]K_2[/math][/size][/size][br] 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[/img][br][br] ④ 与步骤③相同,由[math]K_2[/math] 产生候选集 [math]C_3[/math](见表 2-5-6)。值得注意的是,在 [math]C_2[/math] 中已经产生非频繁项集,为{L1,L4}、{L3,L4}、{L3,L5}、{L4,L5},所以在产生 [math]C_3[/math] 时,要注意修剪这些支项,形成 [math]K_3[/math],如表 2-5-7 所示,这也正是 Apriori 算法有价值的地方。[size=85][br] [size=100] 表 2-5-6 [math]C_3[/math][/size][br] 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[/img][br][br] [size=100] 表 2-5-7[/size] [math]K_3[/math][/size][br] 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[/img][br][br] 按照迭代方法,由 [math]K_3[/math] 还可以产生新的项集{L1,L2,L3,L5},但{L3,L5}早就判定为非频繁集,所以{L1,L2,L3,L5}也是非频繁项。至此,迭代结束,找到的频繁项集为{L1,L2,L3}和{L1,L2,L5}。[br][br] 频繁项已经找出,接下来就该由频繁项来导出关联规则。需要说明的是,遴选频繁项的指标是支持度,而导出关联规则的指标是置信度。[br][br] 仍以上例来说明,频繁项集 l = {L1,L2,L3}能产生的非空子集为{L1,L2}、{L1,L3}、{L2,L3}、{L1}、{L2}和{L3},则其关联规则及置信度如表 2-5-8 所示。[br][br][size=85] [size=100] 表 2-5-8 关联规则及置信度[/size][/size][br][img]data:image/png;base64,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[/img][br][br] 如果最小置信度阈值为 70%,则只有 2、3 和最后一个规则可以输出。[br][br][br][br]