关联规则

code{white-space: pre;}

pre:not([class]) {
background-color: white;
}

.main-container {
max-width: 940px;
margin-left: auto;
margin-right: auto;
}
code {
color: inherit;
background-color: rgba(0, 0, 0, 0.04);
}
img {
max-width:100%;
height: auto;
}

关联规则

shangfr

2015年10月29日

本文旨在演示r语言arules包的关联规则用法,以及利用arulesViz对结果进行可视化

关联规则是形如X→Y的蕴涵式,其中, X和Y分别称为关联规则的先导(antecedent或left-hand-side, LHS)和后继(consequent或right-hand-side, RHS) 。其中,关联规则XY,存在支持度和信任度。 For more details see关联规则.

r语言arules包提供了有效处理稀疏二元数据的数据结构,而且提供函数执Apriori和Eclat算法挖掘频繁项集、最大频繁项集、闭频繁项集和关联规则详见

蘑菇数据data下载

r语言代码

library(arules)
## Loading required package: Matrix
##
## Attaching package: 'arules'
##
## The following objects are masked from 'package:base':
##
## %in%, abbreviate, write
data=read.csv(file.choose(),head=F)
trans <- as(data,"transactions") #数据格式转换

inspect(trans) #数据查看

image(trans [1:50])

aaarticlea/png;base64,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" title alt width="672" />

itemFrequencyPlot(trans, support=0.5)  

aaarticlea/png;base64,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" title alt width="672" />

itemFrequencyPlot(trans, topN=10, horiz=T)  

aaarticlea/png;base64,iVBORw0KGgoAAAANSUhEUgAABUAAAAPACAMAAADDuCPrAAAAhFBMVEUAAAAAACsAAFUAKysAK4AAVVUAVYAAVaorAAArKwArVVUrgIArgKorgNRVAABVVStVVVVVgIBVqqpVqv+AKwCAVQCAgCuAgFWAgNSAqoCA1NSA1P+qVQCq1ICq/6qq/9Sq//++vr7UgCvUqlXU/6rU/9TU////qlX/1ID//6r//9T///+cM8qRAAAACXBIWXMAAB2HAAAdhwGP5fFlAAAgAElEQVR4nO3d6WLb2JpYUdjtXCuDlMFOqjtmkmp2ddG23v/9goGYCUo8AkDg41o/bokURRE+4L4HA6HsFYAk2b1fAMBeCShAIgEFSCSgAIkEFCCRgAIkElCARAIKkEhAARIJKEAiAQVIJKAAiQQUIJGAAiQSUIBEAgqQSEABEgkoQCIBBUgkoACJBBQgkYACJBJQgEQCCpBIQAESCShAIgEFSCSgAIkEFCCRgAIkElCARAIKkEhAARIJKEAiAQVIJKAAiQQUIJGAAiQSUIBEAgqQSEABEgkoQCIBBUgkoACJBBQgkYACJBJQgEQCCpBIQAESCShAIgEFSCSgAIkEFCCRgAIkElCARAIKkEhAARIJKEAiAQVIJKAAiQQUIJGAAiQSUIBEAgqQSEABEgkoQCIBBUgkoACJBBQgkYACJBJQgEQCCpBIQAESCShAIgEFSCSgAIkEFCCRgAIkElCARAIKkEhAARIJKEAiAQVIJKAAiQQUIJGAAiQSUIBEAgqQSEABEgkoQCIBBUgkoACJBBQgkYACJBJQgEQCCpBIQAESCShAIgEFSCSgAIkEFCCRgAIkElCARAIKkEhAARIJKEAiAQVIJKAAiQQUIJGAAiQSUIBEAgqQSEABEgkoQCIBBUgkoACJBBQgkYACJBJQgEQCCpBIQAESCShAIgEFSCSgAIkEFCCRgAIkElCARAIKkEhAARIJKEAiAQVIJKAAiQQUIJGAAiQSUIBEAgqQSEABEgkoQCIBBUgkoACJBBQgkYACJBJQgEQCCpBIQAESCShAIgEFSCSgAIkEFCCRgAIkElCARAIKkEhAARIJKEAiAQVIJKAAiQQUIJGAAiQSUIBEAgqQSEABEgkoQCIBBUgkoACJBBQgkYACJBJQgEQCCpBIQAESCShAIgEFSCSgAIkEFCCRgAIkElCARAIKkEhAARIFC2gGC7j3es1WhVo17v02I6p7r9lsVahVI8v+FWYnoEwJtWoIKEsQUKaEWjUElCUIKFNCrRoCyhIElCmhVg0BZQkCypRQq4aAsgQBZUqoVUNAWYKAMiXUqiGgLEFAmRJq1RBQliCgTAm1aggoSxBQpoRaNQSUJQgoU0KtGgLKEgSUKaFWDQFlCQLKlLlWjUOWPffuOGbZ1+bGr5fPf/YfP75n8P1/TngRAsoSBJQpc60apyz78nfn9u/v2acfnRuDXI7v6TsMcvw+AsoSBJQpc60aeRGzb53bP586Qc2np4Ncju/pOQ3ns+8joCxBQJky26rR22Qvb9YJLNraz+X4ngEBZUMElCmzrRr5lLOTxM4mev6NQS7H9wwJKBsioEyZbdXob8Of6vnor5e8lf/o7vEc3zMmoGyIgDJlvlXj1N2GP9Q1zTfls2+9Q0bDe079vz7z6Udzz7fXGwkoSxBQpsy3auQzy6aS+dfnQ0jHoqqDgPbvEVA2TkCZMuOqcWiTN9gEv3oak4CycQLKlBlXjZ9PzTb8oXMS6GvCeaD2gbIhAsqUGVeNNoq9k0BfBZR9E1CmzLlqNOd+Hgeb3wLKngkoU+ZcNeqJ56iOAsqeCShTZl01zrs+OztDKzceRBJQNkVAmTLrqnHu3rF/CElA2TcBZcqsq0Z1+md7EmhNQNkzAWXKvKvG8Xwa56B+9oGyZwLKlHlXjZ9PefgOozYKKHsmoEyZd9XIu/jlr5fBISQBZd8ElCkzrxr5Nvwf489gpgR0sBv1XQSUJQgoU2ZeNcpr1Y3ad3NAqyuG+iw8myCgTJl71ThkF7a+bw5oecn627fiBZQlCChT5l418o3vwUmgryl/VK4s6HBX6psElCUIKFNCrRoCyhIElCmhVg0BZQkCypRQq4aAsgQBZUqoVUNAWYKAMiXUqiGgLEFAmRJq1RBQliCgTAm1aggoSxBQpoRaNQSUJQgoU0KtGgLKEgSUKaFWDQFlCQLKlFCrRgaLuPeazVaFWjXu/TYjqnuv2WyVVQMgkYACJBJQgEQCCpBIQAESCShAIgEFSCSgAImCBfTeJ1zzKO69prMNoVaEe7+peBz3XtfZhlArgouJsA4BpRJqRRBQ1iGgVEKtCALKOgSUSqgVQUBZh4BSCbUiCCjrEFAqoVYEAWUdAkol1IogoKxDQKmEWhEElHUIKJVQK4KAsg4BpRJqRRBQ1iGgVEKtCALKOgSUSqgVQUBZh4BSWWxFOGTZc++OY5Z9zf/z+3t7QYZv0z9+LL7/5e/bfqeAsg4BpbLYinAa9C8P56cf+X9/vbwjoOfKfr3xdwoo6xBQKoutCEUDu4H8+VQF9ZS9I6DnBz1PfX+CgLIOAaWy3Ipw7M8gj+ceHq9uubcPvnXzvSCgrENAqSy3IuRTzs9/NrfyCWl169C9d8q7KjsmoKxDQKkstyL0t+FP5/lofu875pYCyqYJKJUFV4RTdxv+cE7ir5fBoaHuPtHcpx/tYaZbd4EKKCsRUCoLrgh5CJut9fzrauKZ9/JbWcjykPyrgLJHAkplyRXh0G6In+ocHrNP//Hcx6aoAsrOCCiVJVeEn0/N5vqhnnEeOrGc3hlqHyibJqBUllwRmiPvzUmg5ZGlKqWna1NMAWXTBJTKoivCsd1wPwcx3zyvd372T3Ma/aCAsl0CSmXRFaGeeLZT0a7DdCUFlE0TUCrLrgjnXZ+dnaEd1fx0fBDpVUDZOAGlsuyKcD74fmy228ffFFD2R0CpLLsiVKd/NieB9gkoeyWgVBZeEcq55+ny8fYrlRRQNk1AqSy8Ivx8ytvZuX7IsW1pfYHQSwSUTRNQKguvCMW1Q/7qfPy9c+7S6coFkwWUTRNQKkuvCPk2/B+dGhYn0lcFzRs5OQEVULZNQKksvSKUH2zvHELKp6CN6c+6CyibJqBUFl8RDoNStgW9/iflBJTtElAqi68Ip2y4qV6duHT1D8YJKJsmoFRCrQgCyjoElEqoFUFAWYeAUgm1Iggo6xBQKqFWBAFlHQJKJdSKIKCsQ0CphFoRBJR1CCiVUCuCgLIOAaUSakUQUNYhoFRCrQgCyjoElEqoFUFAWYeAUgm1ImSwknuv62xDqBXh3m8qHse913W2wYoAkEhAARIJKEAiAQVIJKAAiQQUIJGAAiQSUIBEwQJ679OreXj3fguwqlDjfe/3DoR6Q/GmUOPtYiLcmYA+mFDjLaDcmYA+mFDjLaDcmYA+mFDjLaDcmYA+mFDjLaDcmYA+mFDjLaDcmYA+mFDjLaDcmYA+mFDjLaDcmYA+mFDjLaDcmYA+mFDjLaDcmYA+mFDjLaDcmYA+mFDjLaDcmYA+mA+P9yHLnnt3HLPsa3Pj18vnPwc/8PMp+/bRXzpBQLkzAX0wHx7vU5Z9+btz+/f37NOPzo1hQH+9ZAJKVAL6YD483nkje0HMJ5htUPPp6TCg+V0CSlQC+mA+Pt69TfbyZr1JX7R1GNBTJqDEJaAP5uPjnU85O5HsbLTn3xgFtNiAF1DCEtAH8/Hx7m/Dn+r5aJnKfwz2gRZ5/V8CSlgC+mBmGO9Tdxv+UOfxWMw0hweR8ju/HetHnPp/CuF86Km6t7tT4P0ElDsT0Aczw3jnc82mkvnX50NIxyKCg4DmG/XPr1cDWm32F/rnRr2PgHJnAvpg5hjvQ7tRfuqXrx/Q/FZe12sBrXaRVhK28wWUOxPQBzPHeOfTxnqT+9A5CfR1GNDqm8crbTyeDzoV+1V7Z5e+j4ByZwL6YOYY7zaTvZNAXwcBPc9OrwW0mcteOAP/HQSUOxPQBzPLeDfnfg7j2O1gvXv0jRlowsSzIaDcmYA+mFnGu554juaN3TsO5y+vBfSUvPuzJKDcmYA+mHnG+9AcQ++ff9QJ6LFzftP0UfjDRw7CCyj3JqAPZp7xbnZv9g4hDfaOntt6/TzQY/aBhAoodyagD2ae8a72b7YngdbagB77tSzyePlE+vZUptsLKqDcmYA+mJnGu5x7nkbRuxrQK8qI3n44SUC5MwF9MDONd/kZo8Po1KMbA9rZZdr9eNO7CSh3JqAPZqbxLj5k9NfL6CPsl07nfOM80HNZBZQ9EtAHM9d459vwf4zLeGtAi92iZYSLbfjbLygioNyZgD6Yucb78l7LWwPansY0vpT9OwgodyagD2a28T5c2rF5c0DLi9j3DsrfQkC5MwF9MLONd771PW7ezQFtzmJK+jCSgHJnAvpgQo23gHJnAvpgQo23gHJnAvpgQo23gHJnAvpgQo23gHJnAvpgQo23gHJnAvpgQo23gHJnAvpgQo23gHJnAvpgQo23gHJnAvpgQo23gHJnAvpgQo23gHJnAvpgQo13Bvd27zcBqwo13vd+70CoNxRvMt4AiQQUIJGAAiQSUIBEAgqQSEABEgkoQCIBBUgULKD3Posarrv3O4R5hRrQe7854C33fo8wr1AD6mIibJuARhNqQAWUbRPQaEINqICybQIaTagBFVC2TUCjCTWgAsq2CWg0oQZUQNk2AY0m1IAKKNsmoNGEGlABZdsENJpQAyqgbJuARhNqQAWUbRPQaEINqICybQIaTagBFVC2TUCjCTWgAsq2CWg0Hx7QQ5Y99+44ZtnX5savl89/tt/6+VRcj6b/8DkJKNsmoNF8eEBPWfbl787t39+zTz86N9qA5jfOvn30l04QULZNQKP58IAWWewGMZ9ltkHNp6dNQNt+LlZQAWXbBDSajw9ob5O9vFlvo5fJbAJ6PG+9/3oZzFnnI6Bsm4BG8/EBzaecnf2cnY32ao9nfavdtM8L2m7kz0pA2TYBjebjA9rfhj/V89Fiopn9o5fTeqJ6XGobXkDZNgGNZoYBPXW34Q91HIst9m+9g0jDx5z6fyzmPCut7v06+qH3EFC2TUCjmWFA87lmU8n86/P+zWMRwYsBrR9/KaDVZn/qyU4CyrYJaDRzDOih3SQ/9ct3KaDH+ij8hYCW2/3pR+oFlG0T0GjmGNDO7s1D//jQKKCH6208ng86FftVE47UCyjbJqDRzDGgbSZ7J4G+3h7QZi57eefpWwSUbRPQaGYZ0Obcz+Hx9WEH65Ppp2aXx4+dIiqgbJuARjPLgNYTz9G8ceog0tRR9tPHPqgkoGybgEYzz4AemmPo/TJe3hI/n0l/6Sj84SMH4QWUjRPQaOYZ0PPB9+PwI0YTuzKrTf6L54Eesw8kVEDZNgGNZp4BrU7/bE8CrU0E9DQd0M6pTLcXVEDZNgGNZqYBLeeep1H0rgb0ijKitx9OElC2TUCjmWlAfz7lSTyMatkJaOcqTd0z76ce3v1407sJKNsmoNHMNKB5+r789TI6uN6/NtOFLwfay9sLKAEJaDRzDWi+Df/HeF7ZCWhxCmj19XF6/+apvo7IlVOdrhBQtk1Ao5lrQC/vtezuA22vE3KljYf2MT6JRDgCGs1sA3q4NK/sHURqrxQyPbds/+5HyjWXBZRtE9BoZhvQfOt73LzBUfhqEnr96Po5s0kfRhJQtk1Aowk1oALKtgloNKEGVEDZNgGNJtSACijbJqDRhBpQAWXbBDSaUAMqoGybgEYTakAFlG0T0GhCDaiAsm0CGk2oARVQtk1Aowk1oALKtgloNKEGNIONu/d7hHmFGtB7vzngLfd+jzAvAwqQSEABEgkoQCIBBUgkoACJBBQgkYACJBJQgETBAnrv06RhIfd+a3FRqHG59zoOi7n3m4uLQo2Li4kQlIBuVKhxEVCCEtCNCjUuAkpQArpRocZFQAlKQDcq1LgIKEEJ6EaFGhcBJSgB3ahQ4yKgBCWgGxVqXASUoAR0o0KNi4ASlIBuVKhxEVCCEtCNCjUuAkpQArpRocZFQAlKQDcq1LgIKEEJ6EbNPy6HLHvu3XHMsq/lFz+fiqvKPF/6odf6AV8/8qsFlKAEdKPmH5dTln35u3P79/fs04/8v79e6gtzfZv6UQGFiwR0o+YflzyYvUTmVSyC2vZzuqACChcJ6EYtMC7NJntzs9hqz7fsy5AWff385+WfFFC4SEA3aoFxyTPYKWQezOJWsf/zvPdzENj+TwoojAnoRi0wLv1t+FOVy0418435iSmogMJFArpRS4zLqTvFPFQ1PXSieiiPKp36f/KluKsMaLmzNK2jAkpQArpRS4xLd4qZf10ek6+iWTmWMZ0IaHWuU+fRNxBQghLQjVpkXDrTzdN512c3oNWZopcD+h9eOrdvJaAEJaAbtci4dPZl1uE8tmfQF/tIL59NX84+iwnrKW0rXkAJSkA3apFxOR95f21OAi2/qOeUx8k6FgFtPrSUMAUVUIIS0I1aZlya+eax3pgvpp3lfeUX0wGtszn6QOh7CChBCehGLTMu9cSznYqePwhf7t38l6fpTfj6U6CnlG14ASUoAd2ohcblvOuze2JnXdBPP05XDiJ9bR8toHAmoBu10LicD74fe3syj+eLMV09jen82M5k9P0ElKAEdKMWGpfq9M/6JNCB6yfSV8xAoSWgG7XUuJRzz9PFI0FXP8ppHyiMCehGLTUuP4sDRYe2lD/bA0dXLyZS/8DhymVDJwkoQQnoRi01Lr+/Z1/+emlL2U47i4NJE21szwM9TV/z7goBJSgB3ajFxiXfhv+jW8p8SlkeUDpm2eThofJA/fnaTT6JBA0B3ajFxqW8qFKnlJ0r0k/OLbufhU+YgAooUQnoRi03LoesfwipOZN+Oo2dqzGl9FNAiUpAN2q5cTllw4+zH9+6ylJ7PdDbP8ZZEFCCEtCNCjUuAkpQArpRocZFQAlKQDcq1LgIKEEJ6EaFGhcBJSgB3ahQ4yKgBCWgGxVqXASUoAR0o0KNi4ASlIBuVKhxEVCCEtCNCjUuAkpQArpRocZFQAlKQDcq1LhkENW931xcFGpc7r2Ow2Lu/ebiIuMCkEhAARIJKEAiAQVIJKAAiQQUIJGAAiQKFtB7n6wHD+jeb/s7CrXs916P4CHd+41/R6GW3WfhYXUCGoWAwuoENAoBhdUJaBQCCqsT0CgEFFYnoFEIKKxOQKMQUFidgEYhoLA6AY1CQGF1AhqFgMLqBDQKAYXVCWgUAgqrE9AoBBRWJ6DzOmTZc++OY5Z9Lb/4+VRcuuXr/L/yTEBhdQI6r1OWffm7c/v39+zTj+q/Z9/m/6UlAYXVCei8ilB2E5nPO8ugHtrrBy5UUAGF1QnozI79zfRjtUl/Om+9/3rJss9/LvBrBRTuQEBnlk85O4XMJ6TlrWbXaFHQZaagAgqrE9CZ9bfhT+f56KHaE/raTEnnJ6CwOgGd26m7DX8417QX0G/Vo7rq75Z3945CvZuAwuoEdG75RnqzDZ9/XdWwmXfWR+UvBrQ60ynxOJOAwuoEdHaHNoCn7q7Pr53/Xgxo8c3+hPQWAgqrE9DZ5fPIehu+3XJv4zh9Kv2hmns2kb2NgMLqBHR29ZH39iTQ0uGtrfM8nFVumy9uIqCwOgGdX7PD89j28pC9uXneHn06puwFFVBYnYDOr554tlPRsp/P1V2TBU3KZktAYXUCuoDzrs92Z2j+Vec0pqKuFw4iHZKOHTUEFFYnoAs4H3w/Xjp7/nwek4BCAAK6gOr0z+Yk0H4bqy11AYUABHQJ5dzz1E47xwG9+EP2gcK+COgSfj7l7Ty0n0jqb8JPdLI9Ct85k/T9BBRWJ6BLyCv55a+XtoJ5Gzu7QyeuZ9ceaRpd1v49BBRWJ6CLyLfh/+jMNMvr0T93v7jk/Emk4r8J1wwVUFidgC6i/ORm56pKzWVCrl1sqf24Z8oV7wQUViegyzgMKtjG8crF6poHpVwxVEBhdQK6jM5ez7NqEvrGtvnpHY+ZIKCwOgGNQkBhdQIahYDC6gQ0CgGF1QloFAIKqxPQKAQUViegUQgorE5AoxBQWJ2ARiGgsDoBjUJAYXUCGoWAwuoENIoMWN+93/h3FGrZ770ewUO69xv/jh552QE+REABEgkoQCIBBUgkoACJBBQgkYACJAoW0HufEAfM5t45eYc9vMZ3u/d4AzO6d1DeYQ+v8d18Fh7CENC1CSiEIaBrE1AIQ0DXJqAQhoCuTUAhDAFdm4BCGAK6NgGFMAR0bQIKYQjo2gQUwhDQtQkohCGgaxNQCENA1yagEIaArk1AIYyHCOghy557dxyz7Gtz49fL5z/bb/18Kq6w0n/4rAQUwniIgJ6y7Mvfndu/v2effnRutAH99VJfpOrbB3/nJAGFMB4ioHkje0HMZ5ltUPPpaRPQtp/LFVRAIYyHCGh/k728WW+jF21tA5rHtExrcW93u35OAgphPEZA8ylnp4edjfZqj2f31rmsg+TOSEAhjMcIaH8b/lTHsdxi/0eb0041828tNAUVUAjjMQLaNrNwqGt6LHZ1duajh05mD+VxplP/z5/Uh55OH9hLKqAQxoMEtDuhzL8+H0I6FlXtBbQ9OH8sA3kxoM2hpqQ5qoBCGA8S0O7k8tQ/zXMioNW5o5cC2jlUn1JQAYUwHiWgP5+abfhuJl97AR0cnZ84m/5wPtG+2AGQcKBJQCGMRwlom8neSaCvw2PydVun69g+qPPwGwgohPEoAW1nl8fB0Z9OQMuTQp/rLyYC2jlUf0z5zKeAQhgPE9B64tn75Obr4I7qtNByb+e/PE3EsbM3tbNf4P0EFMJ4mIDWuz5H0esVtS7opx+niYNI3c/RD/cGvIuAQhiPE9BTfehnsN9yMCU9ni/GNHUaU/fh7QlRNxBQCONxAlrVbty80TZ9ZepEejNQoPY4Aa3mnqfRcZ/LAZ3+KGf/jFL7QOGBPVBAfxaHhQ6jLvZPY6rrOn0xkc53Rhdqfg8BhTAeKKB5Kb/89TLqYieg7bSzOJg08VF354ECZw8U0GIb/o9xF7ub8PmUskziMcum9252P4l0+y5QAYU4Himg5YfYR8kbHFZ/+2PuPgsPVB4poM3csefieaBX0+hqTEDpoQJ6yi7stLx0HuhbuzZdDxT41wcL6CYIKIQhoGsTUAhDQNcmoBCGgK5NQCEMAV2bgEIYAro2AYUwBHRtAgphCOjaBBTCENC1CSiEIaBrE1AIQ0DXlgFx3Dso77CH1/hu9x5vYEb3Dso77OE1AmySgAIkElCARAIKkEhAARIJKEAiAQVIFCyg9z5xDbi7NYuz4u9a3L3HDdiANZuz4u9anM/Cw8MT0FQCCg9PQFMJKDw8AU0loPDwBDSVgMLDE9BUAgoPT0BTCSg8PAFNJaDw8AQ0lYDCwxPQVAIKD09AUwkoPDwBTSWg8PAENJWAwsOLEdBDlj337jhm2dfif7qeJ374tXrgl79v+50CCg8vRkBPg/79/p59+vHegOYPLny98XcKKDy8GAEtGvitc/vnUxHUdwb09NYE9TIBhYcXI6DVJnvv5oVN+umfvXXzvSCg8PCCBDSfcn7+s7mVT0g7t17Hm/g9x/7s9b0EFB5ekID2t+FPg/nmr5dil+gUAQXSBAlov5mHQRKbg/Sn/l7RvKp5W9N2gQooECWgeQibrfb8694Ge7sBL6DAjKIEtDvrPPVzWJ3TVH9HQIG5hAnoz6dmG/7Q3+N57Qj8+fv2gQIJwgS0PfJenQTauH4E6VVAgVRhAtqe+zkI4vCQ/KUfFFAgQZyA1hPPwUmgnT2gEwQUSBMnoPWuz87O0NfXwQb9+CDSq4ACqQIF9Hzw/Tg6hPTcfYiAAnMJFNDq9M/BSaD9LXgBBWYUKKDV3HNwEujgkPzlHxNQIEWkgOaxfH499K8jMrou05iAAmkiBTTfXP/y10v/pKXDW8fgBRRIFSmgxTb8H/0aji5sd/GnBBRIESqg5Qfbe7s8h9cVuURAgTShAlpcUaS/y/Mdx5AEFEgUK6CnbLDLc3BW/UUCCqSJFdA1CSg8PAFNJaDw8AQ0lYDCwxPQVAIKD09AUwkoPDwBTSWg8PAENJWAwsMT0FQCCg9PQFMJKDw8AU0loPDwBDRVBrBmc1b8XYu797gBG7Bmc1b8XQChCChAIgEFSCSgAIkEFCCRgAIkElCARMECeu8T0ID7W7E46/2q5d172IAtWLE56/2q5fksPCCgiQQUENBEAgoIaCIBBQQ0kYACAppIQAEBTSSggIAmElBAQBMJKCCgiQQUENBEAgoIaCIBBQQ0kYAC+wjoIcuee3ccs+xrc+PXy+c/22/9fCoukfL1dWECCuwjoKcs+/J35/bv79mnH50bbUDzG2ffkn/buwgosI+AFlnsBjGfZbZBzaenbUAP7XX6li2ogAL7CGh/k728WW/Sl1POJqCn89b7r5duVZcgoMBOAppPOTs97Gy0V3s8m+81O0uLgi46BRVQYCcB7W/Dn+r5aJHJ7B/fuwGt940eh8edZiagwE4C2jazcKhreix2df6eCui36ue68u82D8nre/4qn8befNReQIG9BDSvXVPJ/OvzIaRjEb5uQJt5Z32cfhzQY13fU9bp8M2b+wIK7CWg7ayzLF9367wb0GKb/mvnvxcC2kw3j/Xpor3zoN5LQIHdBLSzmX3onAT6OuhfuVc0u3Yqff3w8vB9OZPNf+b28+4FFNhNQNtM9k4CfR1NIA9vnQV6rPqbZ/O/NZv5tx+wF1BgNwFtd28O91j2Anrobq1flge4eKJT9vn/PJXPdJh+7DQBBfYT0HriOdpj2T8KX2W22D6fquJ5i/2Qffnr5XwQqjejfR8BBfYT0HqiODrnqH9afec0piKL44NIxRPlj89/6rmI6N/1jPRGAgrsKKDng+/H4dSyE9D+RzyLx10KaLnP82ex+X6szmtK2IIXUGBPAa1O/2xPAq11Atrdm1ntKr0U0PwpnotdoH9WFT2kbMELKLCngFZTxdPoI5pXA3pRkczDucZfk05iElBgXwEtd1YeRie9T27CTwb0mH3+f9/LR+YZ/be0q44IKLCngBaHy/8azxc7Ac2np52DSJMfL8pL/N+fzrtDP/3XtOveCSiwp4AW2/B/jOeLnYCWny567n5xUXsN0fJqeEl//kNAgV0FtPyc5uiIT/c80OryoDVn2wIAABFWSURBVJUrh4a6H4NPvG6ogAK7CmhznnzPxGfhrx1aPzXPc0i9cr2AAvsKaGcfZ2vw0aTBNeovai8FOvxzde8moMC+ArohAgoIaCIBBQQ0kYACAppIQAEBTSSggIAmElBAQBMJKCCgiQQUENBEAgoIaCIBBQQ0UQYgoGnuPWzAFqzYnPV+FUAsAgqQSEABEgkoQCIBBUgkoACJBBQgkYACJAoW0HufwAts2ezFmfsJ7+negwNs2+zNmfsJ78nFRIBpAnqVgALTBPQqAQWmCehVAgpME9CrBBSYJqBXCSgwTUCvElBgmoBeJaDANAG9SkCBaQJ6lYAC0wT0KgEFpgnoVQIKTNteQA9Z9ty745hlX5sbv14+/9nc3dX/mbkIKDBtewE9ZdmXvzu3f3/PPv3o3BBQYCO2F9C8kdm3zu2fT52g5tNTAQU2YnsB7W+ylzfrOBZtbQI6/RMzElBg2gYDmk85O5HsbLTn37gY0OFG/4wEFJi2wYD2t+FP9ezy10tez398Hwc0/0a7k3RmAgpM22BA22YWDnVNi32e335fCGhz2P7U3ytaVDWftH6t0pu2jS+gwLQtBjQPXlPJ/Ovz5vmxaOCFgLYb8BMBrbb802apAgpM22JA21lnGcXu8fVxQDtnOV0O6D++d27fSkCBaZsMaLnhXTn0uzcO6PUj8OXss/iJU9pWvIAC0zYZ0DaTvZNAXy8E9I0jSEVAqyfIv0qYggooMG2TAW3P/Tz2T6ofB/R0fWLZyeboI6LvIaDAtG0GtJ54jno5vKP3Oc8rT/T6ZmovE1Bg2jYDWu/67OwMrQwD2tvEnzqNqXmogAJz2mhAzwffj8P55TCgx+52+ZsBvf3zSgIKTNtoQKvTP9uTQGuDgPa34M1AgVVtNKDV3PM0Ou4zCOibs0r7QIHlbDWgefmeXw+jjx0NAnp868h658Ikh8EB/XcRUGDaVgOal/LLXy+jOeMgoIe3zu0szgP9Wn914UJ4bxFQYNpWA1psw/8xnjP2A3rp0iJ95SeRio14n0QCZrfZgJaXUBrt4Ownc3yQaSgP6D89nQ8qJUxABRS4YrMBLfZZjndw9gP69plJxaH3U3o/BRS4YrsBzbs33sE5Cugbm+XlI8rt+NsPIBUEFJi23YDOIunkzw4BBaYJ6FUCCkwT0KsEFJgmoFcJKDBNQK8SUGCagF4loMC04AH9KAEFpgnoVQIKTBPQqwQUmCagVwkoME1Ar8oArpi9OXM/4T3de3CAbZu9OXM/IcCjEFCARAIKkEhAARIJKEAiAQVIJKAAiQQUIJGAAiQSUIBEAgqQSEABEgkoQCIBBUgkoACJBBQgkYACJBJQgEQCCpBIQAESCShAomABvfff/AO2bPbizP2E93TvwQG2bfbmzP2E9zT/P8/9BVymgIsUcZkCLtICyxTqH8mQ70LARYq4TAEXSUCvM+S7EHCRIi5TwEUS0OsM+S4EXKSIyxRwkQT0OkO+CwEXKeIyBVwkAb3OkO9CwEWKuEwBF0lArzPkuxBwkSIuU8BFEtDrDPkuBFykiMsUcJEE9DpDvgsBFyniMgVcJAG9zpDvQsBFirhMARdJQK8z5LsQcJEiLlPARRLQ6wz5LgRcpIjLFHCRBPQ6Q74LARcp4jIFXCQBvc6Q70LARYq4TAEXSUCvM+S7EHCRIi5TwEUS0OsM+S4EXKSIyxRwkQT0OkO+CwEXKeIyBVwkAb3OkO9CwEWKuEwBF0lArzPkuxBwkSIuU8BFElCA7RBQgEQCCpBIQAESCShAIgEFSCSgAIkEFCCRgAIkElCARAIKkEhAARIJKEAiAQVIJKAAiQQUIJGAAiQSUIBEAgqQKE5AD1nt671fCm/79ZI93/s1zOLXy+c/yy+Oxbr36cedX868TpHeT4sUIkhAj1lfhDH/+ZQvyJe/m9u/v2fnt2oEUQKavyvLUTnVq16AMTqeFyNf4yrf7v2KPm6pQoQIaJmavv2vxofhSAvoBh3Os85Tu+rtfRJ6zma+GO2Ube8FXa4QEQJajnjn3yN/b/ambrvUrrz1kuw8oOWojO15kao3ZvH/cMXClUtSrIv7XqRmzfvyb+d177j7RVqwEBECehr9YxT/YPv+P83inVkswbEdaQHdnsN5PTu2Wwr52rjrqfX53VTO2Z6bu/b9blqwEBECehi/C/N36753gx7qLcFipKvB33lAu1u5UQKaD8nX83/b5Tjse+unfvl5QZtlOuz+3bRYIQIENF97x/+Xf9z3Wly/MwuHc0H3HtByDtqMSoh9oPlCfDv/t13djrsepubd1F0F9/9uWqwQAQJar8U9p12vxf1lOhd09wEtl6Q+xBItoO10Zt+rXrPmdauz70VatBACukn9ZTqUe9gCBLTcs1a9LUMEtI5Md7a281VPQG8TIKARN+H7Q17sB30OEdB2l26IgDY7Bw+9Tfg9r3o24W8TIKARDyL1pjTnY4YhAlqdV/AtSkBP510S+cy6/j+8i+/WHan/v+DUHuAbrI374yDSVZdPUtj1WlxkprvVkb9BP/3vGAE9nzsZI6DFila+D9sjR4edn0l/fjeV50zEPo1plvUvQkAvnia789a0Owsrp/2f89MoTzb/vyEC2n7e9tzNU7b3/+tuPr/ZnEh/2v2Kt2AhIgT00jna+54FvJ4/u9vZyDjFCWj9weR9h+Zs/CHBfW/tNu+mTz+alO59ArpkIUIEtPvBxxgr8WsVmW5iindqlID2Pueyd4N1b++teW0vJtJkJ8AyLVWIIAF9DXg5u9HRiH2foT1wCBPQ7vxm1werLxhuB+2ay9kBbImAAiQSUIBEAgqQKGhAu9fiiiLgMgVcpIjLFHCRZlsmAd2NgMsUcJEiLlPARRLQ6wz5LgRcpIjLFHCRBBTg3gQUIJGAAiQSUIBEcQIa7rPwryGXKeAiRVymgIu0jCABPca7GlPEZQq4SBGXKeAiLSZEQMfXZNz/aRcBlyngIkVcpoCLtKAIAb14vemdX1gs4DIFXKSIyxRwkZYUIaCX/+LJvi8CG3CZAi5SxGUKuEhLihDQgH+VM+IyBVykiMsUcJEu/EGP2XZMBAhoxL8LH3CZAi5SxGUKuEgCel3+zzPewDjte8d3wGUKuEgRlyngIl08LiagjYhDHnCZAi5SxGUKuEiv1Rx0mT/BFSCgETc6Ai5TwEWKuEwBF6mQF3SZv3QeIKARd3tHXKaAixRxmQIuUiHfil/k/wQiBPTyiRf7/qO5AZcp4CJFXKaAi1Q6LnMuVoSAXjz1d+c7bQIuU8BFirhMAReplC/HElPQCAG9dJrCMjs8VhRwmQIuUsRlCrhIpWWmoCEC2r14TGX3u2xeQy5TwEWKuEwBF2kxQQL6GvMCXAGXKeAiRVymgIu0jDgBBViZgAIkElCARAIKkEhAARIJKEAiAQVIJKAAiQQUIJGAAiQSUIBEAgqQSEABEgkoQCIBBUgkoACJBBQgkYACJBJQgEQCCpBIQAESCShAIgEFSCSgAIkEFCCRgAIkElCARAIKkEhAARIJKEAiAQVIJKAAiQQUIJGAAiQSUIBEAgqQSEABEgkoQCIBBUgkoACJBBQgkYACJBJQbvL7e/b5z/KrX//8oSc6Zrkvf8/xmmZ0zL5ef0C7/CPVP8iVBwye59utL47tEVBu0vThkD1/7GkKb9RqdT+f3orfdB/P/yDvDOg7fhU7IKDcpO7DKftQQE9lPz/0FAt4x7Rwso/1P8h7A5pPdjc3/+ZmAkqSDwb0uMHN93c17c2Avtuvl639/we3E1CSfDyg29sF+PPp7Rc1X0DzfwMb8bsnoCSJGNDDO2bFMwbUFDQAAeUmVUDOuzDPETx1vi6ykGeoOMb+6Udx+9j53mvzkGYXaBGtU/Pg3jPVj3w+P2fxu6uHlZPFOna9n6le3vAI/6m93encMGD5c55vX3lRnYAeyvu7jykeVT4gf+oms83Xw4UzBQ1AQLnJOKB5dypVDYrY/fv3OpB1K3uH2wcB/be6Q4NnqhOVfflrOqCDnyle3v+p7/rWPLa9fW5x4dQ8W+XY3L7yopqAHrNa8XyDgHZn2OdkjxauW2z2SkC5ySigTRjOaSgK9T/Pd3z639+z9pGNfkD/6elc2OEztY36z5MBHf7M7+YXZvXksPlt1e1D/Rz5Q3tb7J20XnlRdUCPnd/zPA5o/mP1/2cc+h3OenPTDR5J4xYCyk2GpzEVxSqLdKqCU/WqeEgVruKrIh6DMz6bGdohqzeuR89U/Fjx480G+Digo5+pAvqt+g3VKzxUdxQv5/ysz/VTTGzBX3tR5+Uvnq18dPFF+dD+aUztS60qOXqe8+/pz4HZHQHlJsOAnpqdjXkpihw0RSlb0Xw1mGp1A3r+1uiZmlOdipJeDujoZ4pQnWd4xybozUz0/IjqR46jLfhmmnzlRZ2X/9RkMH8lw/9HKW4f632tp3qG2n+e4a9knwSUmwwD2plEVXcVAa2q0Kaie0yl0g1oc+Sm/0ydXB6nAjr67UVAn3sPaVN3rKem5c8Mt+C7zzX9osZH4etlGwS02TyvnmH0PMMv2ScB5SaDgHZ341X7/dpYXvqq1g1ok9v+M3V+qN1g7wd0/NvHjR3N8s6b6sMt+G4Zp1/UMKDlLoNLAa2TmT/D10vPM/ySfRJQbjIOaFcVtdsC2s5S+8/UOVNp6jSm8W+/OkltlqAKa/8l9QM69aI6Dzs1d18M6Pn2sdkB23+e+iUK6L4JKDcZ9KFzcPmDAR090zsCOv7t7whodfpS/sB+uy4G9OIvKB/W/c7FgDYHj+rDaJcD6jD8vgkoNxkHdJCADwS0/0ydzd4rAR389vcEtDyBfvSxzamAjn9Be4pB1jlnfnQxkfJJznPMiVKage6egHKT8Sb8II0f2IS/fHTm9eo+0MHzvmMfaPVBo9GngKY24S8/7JgNl20U0HIn67E5ff/Sh44EdPcElJsMAlocRBl9TjMpoONnag7lNCc0tbPJY709PZ5Hjs90ak84qr46lWf4D9PVOwo/+aKGp3kWz385oMW+1n8/H+ofP0/9s47C75uAcpPhaUztVKw9jSkpoONnas6dbE4tPdQxrO8Z/cw4oPl/zvc0JyflP/2fxhde6p0HOvmiLpwnPxHQ4nypf6kP9Y+eZ/gr2ScB5SadgJZNK3cGlhU4ZPWJ9GkBvfRM7RGY8pfVny5qPps0+pkLn/Y8fxKp+G/9Io5ZNt6k7n0SafJFnZe/frLyE531R4zqyeb5qcvX3T2c332ewe9hpwSUm/SPQn/rns0z3Ct6Y0BHz9Qeu/6np06tS//jpfkAZe9nLgS0cwpRHcgLny3tnVl/5UW1n0RqlQ+u/0EGl2vqXzOq/zJ8Fn7/BJSb1H2oPnTeP5Op/nB4YkCHz9Tc8fn/1qWpM/TctGfwM5cu2NS9dkmzEBemft2rMU2+qPY8+bP/ct69Wf+DdAJ66v7O0cLZBRqBgHKT7jGSehpXXZnoPKX7QEAHz1R9O6s+lNRODssZX+ee3s9cuWRo9xVcvHRy93qgky+qe5A9q3fVfu38g3QCOljsCwt36dA8eyKgbN/c27oTF+J8zxXpZ+SK9AEIKNs3d0CHF2I6e8/fRJr1VZiA7p6Asn0zB3Ty/PVV/9KwCWgEAsr2zRnQ0V8m6v+e9aag/i58BALK9s0e0KkPUP58Wm2r+ueTc0ADEFC2b86AFkfPpzedj2t9OP33dx9CikBAARIJKEAiAQVIJKAAiQQUIJGAAiQSUIBEAgqQSEABEgkoQCIBBUgkoACJBBQgkYACJBJQgEQCCpBIQAESCShAIgEFSCSgAIkEFCCRgAIkElCARAIKkEhAARIJKEAiAQVIJKAAiQQUIJGAAiQSUIBEAgqQSEABEgkoQCIBBUgkoACJBBQgkYACJBJQgEQCCpBIQAESCShAIgEFSPT/AUtk2o7B90SGAAAAAElFTkSuQmCC" title alt width="672" />

basketSize<-size(trans)
summary(basketSize)
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max.
## 23 23 23 23 23 23
itemFreq <- itemFrequency(trans)
itemCount <- (itemFreq/sum(itemFreq))*sum(basketSize)
summary(itemCount)
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max.
## 4 156 600 1570 2346 8124
orderedItem <- sort(itemCount, decreasing = T)
orderedItem[1:10]
## V17=p V18=w  V7=f V19=o  V8=c  V9=b V13=s V14=s  V5=f V11=t
## 8124 7924 7914 7488 6812 5612 5176 4936 4748 4608
#求关联规则
rules <- apriori(trans,parameter=list(support=0.3,confidence=1))
##
## Parameter specification:
## confidence minval smax arem aval originalSupport support minlen maxlen
## 1 0.1 1 none FALSE TRUE 0.3 1 10
## target ext
## rules FALSE
##
## Algorithmic control:
## filter tree heap memopt load sort verbose
## 0.1 TRUE TRUE FALSE TRUE 2 TRUE
##
## apriori - find association rules with the apriori algorithm
## version 4.21 (2004.05.09) (c) 1996-2004 Christian Borgelt
## set item appearances ...[0 item(s)] done [0.00s].
## set transactions ...[119 item(s), 8124 transaction(s)] done [0.00s].
## sorting and recoding items ... [28 item(s)] done [0.00s].
## creating transaction tree ... done [0.02s].
## checking subsets of size 1 2 3 4 5 6 7 8 9 done [0.00s].
## writing ... [4316 rule(s)] done [0.00s].
## creating S4 object ... done [0.00s].
summary(rules)
## set of 4316 rules
##
## rule length distribution (lhs + rhs):sizes
## 1 2 3 4 5 6 7 8 9
## 1 42 293 832 1244 1107 594 179 24
##
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 1.00 4.00 5.00 5.32 6.00 9.00
##
## summary of quality measures:
## support confidence lift
## Min. :0.3003 Min. :1 Min. :1.000
## 1st Qu.:0.3112 1st Qu.:1 1st Qu.:1.000
## Median :0.3299 Median :1 Median :1.025
## Mean :0.3540 Mean :1 Mean :1.141
## 3rd Qu.:0.3712 3rd Qu.:1 3rd Qu.:1.027
## Max. :1.0000 Max. :1 Max. :2.927
##
## mining info:
## data ntransactions support confidence
## trans 8124 0.3 1
inspect(rules[1:10])
##    lhs        rhs     support   confidence lift
## 1 {} => {V17=p} 1.0000000 1 1.000000
## 2 {V12=?} => {V17=p} 0.3052683 1 1.000000
## 3 {V9=n} => {V19=o} 0.3092073 1 1.084936
## 4 {V9=n} => {V7=f} 0.3092073 1 1.026535
## 5 {V9=n} => {V17=p} 0.3092073 1 1.000000
## 6 {V3=s} => {V17=p} 0.3146233 1 1.000000
## 7 {V20=e} => {V7=f} 0.3417036 1 1.026535
## 8 {V20=e} => {V17=p} 0.3417036 1 1.000000
## 9 {V23=d} => {V18=w} 0.3874938 1 1.025240
## 10 {V23=d} => {V17=p} 0.3874938 1 1.000000
edible <- subset(rules, rhs %in% c("V1=e"))
inspect(edible[1:10])
##      lhs                        rhs    support   confidence lift
## 126 {V6=n,V11=t} => {V1=e} 0.3072378 1 1.930608
## 578 {V6=n,V9=b,V11=t} => {V1=e} 0.3072378 1 1.930608
## 581 {V6=n,V11=t,V19=o} => {V1=e} 0.3072378 1 1.930608
## 583 {V6=n,V7=f,V11=t} => {V1=e} 0.3072378 1 1.930608
## 585 {V6=n,V11=t,V18=w} => {V1=e} 0.3072378 1 1.930608
## 587 {V6=n,V11=t,V17=p} => {V1=e} 0.3072378 1 1.930608
## 590 {V6=n,V9=b,V19=o} => {V1=e} 0.3308715 1 1.930608
## 1595 {V6=n,V9=b,V11=t,V19=o} => {V1=e} 0.3072378 1 1.930608
## 1599 {V6=n,V7=f,V9=b,V11=t} => {V1=e} 0.3072378 1 1.930608
## 1603 {V6=n,V9=b,V11=t,V18=w} => {V1=e} 0.3072378 1 1.930608
#规则保存
write(rules, file="rules.csv", sep=",", quote=TRUE, row.names=FALSE)
rules_df <- as(rules, "data.frame")

利用arulesViz对结果进行可视化

#可视化
library(grid)
library(RColorBrewer)
library(arulesViz)
##
## Attaching package: 'arulesViz'
##
## The following object is masked from 'package:arules':
##
## abbreviate
##
## The following object is masked from 'package:base':
##
## abbreviate
mushroom.rules <- apriori(trans,parameter = list(support = 0.8, confidence = 1))  
##
## Parameter specification:
## confidence minval smax arem aval originalSupport support minlen maxlen
## 1 0.1 1 none FALSE TRUE 0.8 1 10
## target ext
## rules FALSE
##
## Algorithmic control:
## filter tree heap memopt load sort verbose
## 0.1 TRUE TRUE FALSE TRUE 2 TRUE
##
## apriori - find association rules with the apriori algorithm
## version 4.21 (2004.05.09) (c) 1996-2004 Christian Borgelt
## set item appearances ...[0 item(s)] done [0.00s].
## set transactions ...[119 item(s), 8124 transaction(s)] done [0.02s].
## sorting and recoding items ... [5 item(s)] done [0.00s].
## creating transaction tree ... done [0.00s].
## checking subsets of size 1 2 3 4 done [0.00s].
## writing ... [16 rule(s)] done [0.00s].
## creating S4 object ... done [0.00s].
plot(mushroom.rules,
control=list(jitter=2, col = rev(brewer.pal(9, "Greens")[4:9])),
shading = "lift")

aaarticlea/png;base64,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" title alt width="672" />

plot(mushroom.rules, method="grouped",
control=list(k=100,col = rev(brewer.pal(9, "Greens")[4:9])))

aaarticlea/png;base64,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" title alt width="672" />

plot(edible[1:20], measure="confidence", method="graph",
control=list(type="items"), shading = "lift")

aaarticlea/png;base64,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" title alt width="672" />

plot(edible, method="paracoord", control=list(reorder=TRUE))

aaarticlea/png;base64,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" title alt width="672" />

####蘑菇数据的决策树分类介绍[详见](http://www.cnblogs.com/shangfr/p/4922896.html)
###反馈与建议
Author:`shangfr`
邮箱:`shangfr@foxmail.com`

关联规则-R语言实现的更多相关文章

  1. R语言 关联规则

    在用R语言做关联规则分析之前,我们先了解下关联规则的相关定义和解释. 关联规则的用途是从数据背后发现事物之间可能存在的关联或者联系,是无监督的机器学习方法,用于知识发现,而非预测. 关联规则挖掘过程主 ...

  2. R语言︱关联规则+时间因素=序贯关联规则

    序贯模型=关联规则+时间因素. 了解这个模型可以参考李明老师的<R语言与网站分析 [李明著][机械工业出版社][2014.04][446页]>,第九章,第二节的"序列模型关联分析 ...

  3. R语言实现关联规则与推荐算法(学习笔记)

    R语言实现关联规则 笔者前言:以前在网上遇到很多很好的关联规则的案例,最近看到一个更好的,于是便学习一下,写个学习笔记. 1 1 0 0 2 1 1 0 0 3 1 1 0 1 4 0 0 0 0 5 ...

  4. [R语言]关联规则2---考虑items之间严格的时序关系

    前面介绍了关联规则1---不考虑用户购买的items之间的时序关系,但在一些情况下用户购买item是有严格的次序关系了,比如在某些休闲游戏中,用户购买了道具A才能购买道具B,且道具A和B只能购买一次, ...

  5. [R语言]关联规则1---不考虑items之间的时序关系

    本文介绍的是关联规则,分为两部分:第一部分是---不考虑用户购买的items之间严格的时序关系,每个用户有一个“购物篮”,查找其中的关联规则.第二部分--- 考虑items之间的严格的时序关系来分析用 ...

  6. python调用R语言,关联规则可视化

    首先当然要配置r语言环境变量什么的 D:\R-3.5.1\bin\x64; D:\R-3.5.1\bin\x64\R.dll;D:\R-3.5.1;D:\ProgramData\Anaconda3\L ...

  7. R语言书籍的学习路线图

    现在对R感兴趣的人越来越多,很多人都想快速的掌握R语言,然而,由于目前大部分高校都没有开设R语言课程,这就导致很多人不知道如何着手学习R语言. 对于初学R语言的人,最常见的方式是:遇到不会的地方,就跑 ...

  8. R 语言的优劣势是什么?

    R 语言的优劣势是什么? 2015-05-27 程序员 大数据小分析   R,不仅仅是一种语言 本文原载于<程序员>杂志2010年第8期,因篇幅所限,有所删减,这里刊登的是全文. 工欲善其 ...

  9. 机器学习与R语言

    此书网上有英文电子版:Machine Learning with R - Second Edition [eBook].pdf(附带源码) 评价本书:入门级的好书,介绍了多种机器学习方法,全部用R相关 ...

随机推荐

  1. 更新jar包中的MANIFEST.MF

    当前目录存在lib.jar和MANIFEST.MF文件,在当前目录下执行: jar -uvfm lib.jar MANIFEST.MF 如果lib.jar里存在META-INF/MANIFEST.MF ...

  2. Apache2.4中开通HTTP基本认证

    Apache2.4中开通HTTP基本认证,需要在Apache的配置文件中增加如下代码 WSGIPassAuthorization On 否则则无法认证

  3. Visual Studio快捷键 [VS2008/VS2005]快捷键

    VS系统通用快捷键: 1.自动排版(类似VC6中的Alt+F8) 编辑.格式化选定内容 Ctrl + K,Ctrl + F 根据周围的代码行,正确缩进选定的代码行. 2.注释与去掉注释功能. 编辑.注 ...

  4. Linux下动态链接库 与gcc 选项

    -L 编译时查找动态链接库的路径 -lxxx(小写)  e.g -lcudart   = link libcudart.so  , -I(大写) 头文件的路径 -rpath (-R), 编译时指定链接 ...

  5. IOS8Preview-Huge for developer and Massive for everyone else

    IOS8Preview-Huge for developer and Massive for everyone else 不管对于开发者还是用户来说,IOS8都是IOS自发布以来功能最强大的版本,但是 ...

  6. ps裁剪圆角

    1.打开要编辑的图片 2.选择圆角矩形工具,并调整半径(半径越大,角越圆),本例半径为20像素 3.使用上述工具画出选区 4.按下ctrl+enter,可以看到选区边缘描上了虚线 5.菜单栏-图像-剪 ...

  7. 使用MyXls,出现访问被拒绝情况

    MyXls 作为一款比较好用的 操作Excel 的开源项目. 最近日常偶然发现报权限的问题,导出xls失败,处理方式以下: 如报上图所示错误,则需要在web.config中 <system.we ...

  8. LoRaWAN协议(四)--入网方式概述

    前言 在LoRaWAN中,node最终和服务器能够正常数据交互,需要先入网,入网的本质,也就是获得一些通信相关的参数,有以下几个: NwkSKey AppSKey DevAddr DevEui 其中 ...

  9. HMM 自学教程(一)引言

    本系列文章摘自 52nlp(我爱自然语言处理: http://www.52nlp.cn/),原文链接在 HMM 学习最佳范例,这是针对 国外网站上一个 HMM 教程 的翻译,作者功底很深,翻译得很精彩 ...

  10. Odyssey.js – 创建互动的,有吸引力的故事

    Odyssey.js 是一个开源工具,它可以让你的地图,叙述和其他多媒体结合成一个美丽的故事.创建新的故事很简单,要求无非是一个现代的 Web 浏览器和一个好的想法.你可以使用现成的模板来控制和设计精 ...