R语言-神经网络包RSNNS

时间:2022-01-28 00:37:56

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斯图加特神经网络模拟器(Stuttgart Neural Network Simulator)

人工神经网络(Artificial Neural Networks,简写为ANNs)是一种模仿动物神经网络行为特征,进行分布式并行信息处理的算法数学模型。这种网络依靠系统的复杂程度,通过调整内部大量节点之间相互连接的关系,从而达到处理信息的目的。 —— 百度百科

Stuttgart Neural Network Simulator(SNNS)是德国斯图加特大学开发的优秀神经网络仿真软件,为国外的神经网络研究者所广泛采用。本文旨在通过使用R语言RSNNS包中mlp函数(多层感知器)对蘑菇数据建立预测模型,演示斯图加特神经网络模拟器的强大功能。RSNNS包中其它重要的网络形式还包括:dlvq(动态学习向量化网络)、rbf(径向基函数网络)、elman(elman神经网络)、 jordan(jordan神经网络)、som(自组织映射神经网络)、art1(适应性共振神经网络)等等。

R语言实现

#载入程序和数据
library("RSNNS")
## Warning: package 'RSNNS' was built under R version 3.2.3
## Loading required package: Rcpp
library("reshape")
## Warning: package 'reshape' was built under R version 3.2.3
mashroom = read.csv(file.choose())
#定义网络输入
mashroomValues= mashroom[,-1]
#定义网络输出,并将数据进行格式转换
mashroomTargets = decodeClassLabels(mashroom[,1])
#从中划分出训练样本和检验样本
mashroom = splitForTrainingAndTest(mashroomValues, mashroomTargets, ratio=0.15)
#数据标准化
mashroom = normTrainingAndTestSet(mashroom)

利用mlp命令执行前馈反向传播神经网络算法

model = mlp(mashroom\(inputsTrain, mashroom\)targetsTrain, size=10, inputsTest=mashroom\(inputsTest, targetsTest=mashroom\)targetsTest,linOut=T) plotIterativeError(model)

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ABJZuAFlu6IAENEVCyCWixpUs6P/UFdAABJZsJlYstXZKARggo2QS02NIlCWiEgJJNQIstXdTpuS+gAwgo2QS02NJFCWiAgJJNQIstXdbxyS+gAwgo2TIDur8mf/8ZSZkEdM0ElGwJAd28/fb37r+fx5uYfpR+xAEEdM0ElGyTB/TzdN/nz+9v8xe0noAenv2SMISfFtmmDujn6cb5f//c/3f3n8MB6SwEdM38tMg2cUB3L3se3ne0PQD95a+vQ0jnOwStKKD7p78kDOGnRbaJA/p5vmr0fvrTtqTzXUgS0DXz0yLbxAHdHA479weelz/Ndw5fU0B3z39JGMJPi2zTBvQSy+1x52kKEfOBPklAB/LTIlvihMqnE3cBfVJLQDWhj4CSLSugm8ulIwF91seHgA4hoGSbPKCHU/jLS6CXr81BQNdMQMk2+Wug55uYTtV0Ff55AjqIgJJt4qvw78cz903zM+XOf8wnoGsmoGSbOKC792/+2F9COp3Bv8/5iR71BfTxVzjzzw3Zpn4r5+b0BvjDUed+Qqb5DkBrC+g9SeghoGSbfDKRY0H3r4Ae5hOZc0I7AV0zASXb9NPZ7av54/LHWScEFdA1E1Cypc5IP+sF+D0BXTMBJZuP9Ci2dApJ6CGgZBPQYkunkIQeAko2AS22dApJ6OamL9L5ULliS6eQhG4CSjofKlds6RSS0E1ASedD5YotnUISugko6XyoXLGlU0hCNwElnQ+VK7Z0CknoJqCk86FyxZZOIQndBJR09X2o3Hl6kkiHBXTFBJR0lX2o3PvbtaENFdAVE1DSVfWhcpcL+WcDN1V9QDWhm4CSrqYPldtdf2quu78xf9jLAQK6YgJKupo+VO7zLpeDL+kL6IoJKOlq+lC5lkPXyyHukzsnoOsloKSr6EPltjW+X/F92OGsgK6YgJKuog+V2x5t3p+ufw7bmoCumICSrqIPlRPQHU3oJKCkq+hD5fJP4ZdYUE3oJKCkq+lD5dIvIgloVQSUdDV9qFz7bUyDXhAQ0BUTUNLV9JEerTfSD7siJaArJqCkqymgh2JeO13cf5KAFrOYHTkTUNJVFdDmVEwZk4kIaI+PxezJiYCSrrKAfqVOZyegPQQUKgzoKAJajICCgJZcPMNimiCgUGFAncIvg4BCbQHNnZFeQLtt92Mpu3IioKSrKqDZM9ILaDcBhboCmj4jvYB2E1CoK6DpM9ILaDcBhboCajKRnYVEQUChqoCazm5vGVHY7cUy9uRCQEk3+YfKtYlNST98QuW2xx70kALaZb8Xy9iVMwElnYD2EdAuAgpfVQXUKfzeMqIgoPCV9Rro5UPldkkddN28wUWknWVEQUDhKymgP783jh0/h87h2VjTjPRLiYKAwldSQDdXh4mb6Od6mJF+ZxFROOzEInblQkBJlxHQm6s/Az+J+HpDt15uRvplROG4E4vYlzMBJV1VATUj/ddCoiCgsJMR0O2p9/Up/LD3r9948enslhEFAYWdpNdAG4eg72M+Gn4sAS1DQGEn6yr86bR998foVfgCBLToPixhXy5a9mZZO8j65NwHej0PcvQ+0Kb9FflhtzDtd05AS+7DEvblQkBJlzSZyGf4uvn9dnavoJ62N/RylICW3Ycl7MyZgJIubTam4y1I8QvwX6fDzm2CL1PTv9yM9ItogoDCXkXT2V0uwP/2v4/l3LzejPSLaIKAwl5NAd0ed+6yuX9B9djNz5ebkX4RTRBQ2Es9hf/lr6/3EfeAvh9P2DeXF1JvbjF9vHMCWnQXFrAzFwJKuqSAHl4B3QU0fhH+PJ3d9kj0nGHT2c26CwvYmQsBJV1OQI9XkLYB3cRvYzq/I7R52DnwfaECWngXFrA3J227sqDdY5VSArq7ev7b3z+/7068N+Er8Ze31G9eOaALiIKAwkFKQD/3t7wfAro7iR98//veNqDHFTfNU3gBnXMP5t+ZMwElX9J74XfBOwZ0ezgau5DUuuLAyUUFtPAOzL4zFwJKvqTZmHaHjseADj1ovGi5APX5ejPSzx8FAYWjxPlATwENzwe6uxT17fYLLzcj/fxRuNqB2ffmTEDJV1NAD++AvxyEbobPTCKgpXdg9r05E1DyzXAKP2JC5c+ruUjeh98SJaCld2D2vTkTUPIlXUTaHXMeAzr0k4hvNtU4en0fviEBLb0Ds+/NmYCSL+s2pm+ngO7uCS0xIWiMgJZ+/Ln35kJAyZfzTqT93fP7gL6/DZ1AqSgBLf34c+/NhYCSL/WtnLFJkEsS0OKPP/funAko+ZImEzlOhTx3P1cW0HnyIKBwkjad3TGhs+Zz+HCXWNDGZJyz9EFA4aSmCZULWFNAP+YJ6O1jdu1D+q4JKPkEtOjyGc6fyf7xIBDT1OPJgObHXUDJl/NOpKtP4hxxI/1oqwno8eizLxATHaAKKJzNEtD5XghdS0DPcewpRFJA23dh+8XseAko+fID+s8fAjrKvk2PP9Xt4Rl+/OEffOHrcPwpoKzfxAF9f2vjFH6M64tHnddwZg5oxzf6VhpJQMk3cUCv7qA/i81IX8JaAtr8W9dCPd8d9eiPv/J1evCew+OMPRNQpjb1Kfznovq5loBe/a1job7vjnr0Z77y4NEnuQNLQMk3w0WkOa0hoDe6ruH0fLfsw/V8pe/wOGHPBJSpCWjR5WfQdQ2n+7ulH677xqb248zHd2CV2jMBZWJupC+6/By6T6Hbv1v60fruDO2r+4g96z/qfrQgFCOgRZefQ/9JdeGEPFGpRy/RXt6KOmIvnoylgDKtpIBeX413H2hR/e8N6n4dMhKXx5V6dI2reYIf2IHjQyw3oJL9UnICenM7qIAWdXcE+DigHx/BC+HPBLR3hY8iAX3mlYRRD9H36P3fLfWQHw1ltsgEUgL687uATunmmK/3gPTr9NSM1aXjRc3uVz3vcj705YX2Us4X0P6iFQvex4eC1iDpQ+Xmngf0ZP0BvX+23R+gjriM03M8+8zDP3UP6+22W/fhqRv6J7kPti9qh7ewjn/Up94swQIkfazxQvq5/oC2PXlvEzbiHLprjXNSWh++81jq8Q601OjwhZkCehple0PP7/8a+bi3G1DQxcq5D3TONx9dWWdAL0+wR1dXbp6ZA5+YT5y8dpzhdxy2PRPQrmtkj460n3yAYa7+9bnP3OUGg1EPHPg5MRMBLbr8TC7nzx0nluc/jDmyeZSFwKt1j5Zvebmz8y6o6QPaXcy7v41JaNerFixQ0im8gE7rfGLZ/d2e0+EnH2KSKzKPHvNuoca/Bo+3VXSXW39+XQf/4R9X64quIy1VykWk9zk/Cv7KmgPa8yTr7Ovzz8tJ+vlgBy4vKbatkB3Q7tcn2r8b+4F1/JwFdKFSArqcc/i1BvThzTUjn5gT5fNhQO8XujpNfripgnvdfXjf9a9X5GfWuY6CLlPOjfQ/vy/kGHTVAX3w7f6XR8dsfYz+7Pf8KTmgvcf3xQ4bux9l4P8BuU0ybUDb51N2I315j6/vdH7n5u8tq075Clxvl+7/2HMTwaQB7f0RPHrxucijDNrWpP/LaBDQosvX5+4w7qqX7XcfTbkDzT25X6gvmQ8COmoMwR/B0MPGp17QeG5DCppDQIsuX6GbY7p7mY/f+fXzjQTdy3Re4xk/lPCqg1Z8eBYxaEMSmsJ0dkWXr9DNrYyn/+bU8+u6cR27df5r74X3JwIav7MotN6gVR/v3bOb+jjfF9D98siTO8UjAlp0+Rq1vdSY+/jtbpf6aklIzzWlzke6+sqTO/jMYuNWfqLuT27qsljnNh2cFiOgRZevUfP5NuuOfPX0c79z9/s3LKBdsb5d6P6RR7g9lO7cscGberxUe0GTTi1eg4AWXb5K7VdolqY1oD23hXZv5wnXy4/e8ZuHbt2pYZu6+mrPMu3/FLX+KIkQ0KLLV6n9As3idB5Nnf8Y33B3QscfrH1cXpLsOup99kE6ctj2MvbV9+8fyzFoIUmTidya67Z6AW1Tx1OqfQcvgSi4/82Njt/qbTUfHPI+3lTLlhvbbl2n+beuBQmYKaBvb99KP+5TBLTN8a6XuXcj6BSIogM4brTMT6X9mDPQz+ttXf54/tPjf2TGH7DTNFtA5ymogLYa+CRemsPuFx7B4LSlaQ1vf4ov/x4Mfs2YXmnvhf/lr/2fdjH9vfmFXALaaqGleN4ksVvuT6U1lv0/gvtVFju6qmR9qNxlNqbPfTq3IZ3jEFRAW63gubSCIUys7WWEmXaltBnHkfShct/u/jbPHKECCidrCeic/xIkvQb6o/HXz/174T9neUe8gMJZ4G1ZSzTni9UCWnR5qEijO0NeRV5YaT/KfJR0TNJnIl2fwu9O3gUU5nZ9R1RbhtquVC3rxdPzDVyz7FTSa6BXF5H2Od14DRTmdrq5qXE/afOb3eba4Xv3t7hmyroKfzre3N3GtLsK//42y8ckCSg03fTw8pfecC4oodf7nv7wOfeBvl/dQv9jX1T3gcLs2m5ueuIwc7aCts3S1fhz+k4lTSayK+bRLpzb0/h5PqdTQOGB507S50no3YPeTz7Vu1fFdzltNqbj+zkPZ/Kf8xx/CiiUMkdB79Le+nas3vdjFd4j09kVXR5eR/plpY/bO5baHrZ7b6bYz/oCuhkzHcng4SoodBlwZb5EaT/O9wpcvtLzWG1ffuYYdNBeVhbQ66tRwxsqoDCJ/uwMSG3fI1w2dvzD83tz+vvDa2PDdnH6jzX+cT+dXfQW+salqOCmBBQm0n/u/MRid6vdbuRme/2b+bh71JaduVthaN5rCui/f16vu9/usNvxBRSm03Pu/Hixtm1d/fV2k4828XFVze7duezS8EPjmgL6eZfLXVJ/dCzdvnMCChO6D1GsV7fn0q0Nfm5v7nfhbtX4Cws1vQa6uS/v0GlFBRQmdl2jx2fM9/E6f6n5h5b1n96ZlmB27e9AFQV0e7h5f/P9wGlFBRSmd1XAR4u1HGzeBHhE4PqPgNv7PURFAb2ZFe9g4KROAgoZBrapr2fjCvfEA47ZTuo7kX756+s9PgeTgEJFBsepRNCyJQX0cB1pF9CBV30anMIDy5IT0ON1+G1AN2/xgrqIBCxKSkB3dxv99vfP77sZRDbx++jbb2MaNKuTgALlpAT08/hZ8PspmOJTKbfeSD+sxgIKlJP0kR67I8djQLcZjF5Iursjf/C0zAIKlJP0oXK7Y85jQLeHoPGPk9vc9NNkIsB8Ej/W+BTQkZ/HaTo7YCHqC+goAgqUM8Mp/DwfaHwgoEA5SReRdsecx4AOvXXzfmNO4YFFyLqN6dspoINnoLtiRnpgOXLeibS/e34f0PfBcyA3mJEeWJLUt3KOmk7ZjPTAwiRNJrJv38h+mpEeWJa06eyOCR1zB5PJRIBFmfozkQre8mk6O2BZpv9QuREXja4Nn1D57pLTm4AC5WQENHjP5i0BBZZl6tdAm9ffg7PYnTiFB5Yl6Z1IZ/F76F1EAhYm7Sr857mhA6fwvNqEGemB5Uj9WOPT+Xzw0rwZ6YFFyf9c+J/fwzeDmpEeWJLcgB7fzG5GemANEgN6mklp5L31prMDFiIroIXqOZaAAuWkBHQh9fwSUKCk6QN6qud8n+PRIKBAORMHtHQ991ehGhv7989hh7UCCpRT0WQiX5cLSOfLRwIKzGfygJY8c79cgD9tVUCB+WQcgYbfu3ljd/6+ey9943OVBBSYz8SvgZ7eO1SkoZvTZnbv6TwUVECB+Ux/Ff78/ssxEzHtbGN5fu1zcyyogALzSbkPtExDryZUPhZUQIH5ZL0T6fyxnPFZla9npN/sr8ULKDCfxPfCnxsa/HiP64AepgIVUGA+ydPZbUa8pbP5GujX8TPhBRSYT03zgb5fv4i63dAv/2vqgCoo0KmmGel394E2X0L9HL4xAQXKmeEzkeJzMr3fvIL6KaDAjDICer56NPqG+veby/i7Y1IBBWYydUCPH+JR5E76r5bPhn8XUGAuGe+FH3f7Z1ECCpSTEdDgfZ9TEFCgnKkDuoh56C8EFCgn/z7QWQkoUI6AFl8DeBUCWnwN4FUIaPE1gFchoMXXAF6FgBZfA3gVAlp8DeBVCGjxNYBXIaDF1wBehYAWXwN4FQJafA3gVQho8TWAVyGgxdcAXoWAFl8DeBUCWnwN4FUIaPE1gFchoMXXAF6FgBZfA3gVAlp8DVMvbuUAABA2SURBVOBVCGjxNYBXIaDF1wBehYAWXwN4FQJafA3gVQho8TWAVyGgxdcAXoWAFl8DeBUCWnwN4FUIaPE1gFchoMXXAF6FgBZfA3gVAlp8DeBVCGjxNYBXIaDF1wBehYAWXwN4FQJafA3gVQho8TWAVyGgxdcAXoWAFl8DeBUCWnwN4FUI6ASrAK9BQCdYBXgNAjrBKsBrENAJVgFeg4BOsArwGgR0glWA1yCgE6wCvAYBnWAV4DUI6ASrAK9BQCdYBXgN9QV083bybfjKAgqUU1lA39+uDW2ogALlVBXQn9/fbv36n0FbEFCgnJoC+u+f18X854/t33/7e8gmBBQop6aAft7lcpfUH0M2IaBAOTUFdHN/wr49CB30MqiAAuVUFNDt4ebvd198H3YOL6BAORUFdHu0eX+6/jnsMpKAAuUI6ASrAK+hooA6hQeWpaKAuogELEtNAW2/jen+qLSHgALl1BTQ1hvph70VSUCBcmoK6KGY1375a9AWBBQop6qANqdiMpkIMLfKAvplOjtgMeoL6CgCCpQjoBOsAryG+gLqFB5YiMoCakZ6YDmqCqgZ6YElqSmgZqQHFqWmgJqRHliUmgJqMhFgUSoKqOnsgGWpKKDDJ1S+u+T0JqBAOQL6iIACHSoKqFN4YFkqCqiLSMCy1BRQM9IDi1JTQM1IDyxKTQE1Iz2wKFUF1Iz0wJJUFtAv09kBi1FfQEcRUKAcAZ1gFeA1COgEqwCvQUAnWQd4BQI6yTrAKxDQSdYBXoGATrQSsH4VBbTlfUiDP1ZOQIFyBHSilYD1qyigbZ9qLKDAfGoK6P4YdNDsdXdiw1VQoE1VAd0VdOD0SzcEFCinroDuzuIHfYTHLQEFyqksoF/vby2fLPc8AQXKqS2g25P4MYegweEqKNCitoCOPAQVUKCc6gI6joAC5QjopOsBayagk64HrJmATroesGYCOul6wJoJ6MQrAusloBOvCKyXgE68IrBeAjrxisB6CejkawJrJaCTrwmslYBOviawVgI6+ZrAWglowqrAOglowqrAOglowqrAOgloyrrAGgloyrrAGgloyrrAGgloyrrAGglo0srA+gho0srA+gho0srA+gho0srA+gho2trA2gho2trA2gho2trA2gjooLUXPTggmYAmrg6si4Cmrg+siYAOXH/RwwNSCWjyBoD1END0LQBrIaCDt7DoAQKJBHSGTQDrIKCzbANYAwENbGPRQwTSCOhMGwHqJ6CzbQWonYCGtrLoQQJJBHTGzQB1E9BZtwPUTECD21n0MIEUAhrd0KLHCWQQ0PCWFj1QIIGAxje16JEC0xPQEdt6ZmuL/nEAowjomI093pzjVFgxAR23uQfbe+4oFaiTgI7cXv8Gt99WUFgtAR27wb4t7r7pGBRWS0BHb7G7kIfvCCislYCO32RXQk9fVlBYKQEtstXWhp6+5CQeVkpAC233vqGXvwoorJOAltv0dUKbf1FQWCUBLbr1SzU7YwqshoAW3n77lSMFhTUS0OKP8Ha4+zP7gYF0AjrBY7RdlFdQWB8BneRR7h/HSTysj4C+wEMD0xDQl3hsYAoCmvjYfe+bB+ojoJkPfjbjXgDFCGj6Hlybe3+AOAGdg4jCKgjovDQUKiag87s9q1/kTgL3BHQR7hu61D0FLgR0gVQU6lBfQDfnuHwbvnJFRWo7KFVVWJTKAvp+k5KhDa0tPioKS1ZVQH9+v8vIr/8ZtIVVdKenqtIKmWoK6L9/Xhfznz+2f//t7yGbWE9dHlV0oHH7UmhMUJuaAvp5l8tdUn8M2cR6AtqtcFoLmPOHMeNj8wJqCujm/oR9exA66GXQVwhoxNyJXZa2H9CDn9rE/39YqooCuj3c/P3ui+/DzuH9ps9gthBC2NO/3MWfLqU3eLI92rw/Xf/su4w04ufC6wo8yUo9a1mMp39Ziv/6ld7giYACy1JRQJ3CA8tSUUBdRAKWpaaAtt/GdH9U2kNAgXJqCmjrjfTD3ookoEA5NQX0UMxrv/w1aAsCCpRTVUCbUzEdrH0yEWDJKgvo1+tMZwcsXn0BHUVAgXIEFCBIQAGCBBQgSEABggQUIEhAAYIEFCBIQAGCBBQgSEABggQUIEhAAYJeLqAA5RRvVOkNljT3DxtYl+KNKr3BROs6w1/XaAxn0Qyn2EPP9sjjreu3YF2jMZxFM5xiDz3bI4+3rt+CdY3GcBbNcIo99GyPPN66fgvWNRrDWTTDKfbQsz3yeOv6LVjXaAxn0Qyn2EPP9sjjreu3YF2jMZxFM5xiDz3bI4+3rt+CdY3GcBbNcIo99GyPPN66fgvWNRrDWTTDKfbQsz3yeOv6LVjXaAxn0Qyn2EPP9sjjreu3YF2jMZxFM5xiDz3bI4+3rt+CdY3GcBbNcIo99GyPPN66fgvWNRrDWTTDKfbQsz3yeOv6LVjXaAxn0Qyn2EPP9sjjreu3YF2jMZxFM5xiDz3bI4+3rt+CdY3GcBbNcIo99GyPPN66fgvWNRrDWTTDKfbQsz3yeOv6LVjXaAxn0Qyn2EPP9sjjreu3YF2jMZxFM5xiDz3bI4+3rt+CdY3GcBbNcIo99GyPDFA5AQUIElCAIAEFCBJQgCABBQgSUIAgAQUIElCAIAEFCBJQgCABBQgSUIAgAQUIElCAIAEFCBJQgCABBQgSUIAgAQUIElCAIAEFCBJQgCABBQgSUIAgAQUIElCAoGoD+s8fb1u/z70b4/z8vhvEL39dvlL/sLZj+nH+S93D+dztfGM0dQ/n8Mv2rfGVWofzzx+//qf5t9tRZI6r1oBu3g6a8anN4f/zzvn3of5h7QZ1Tk7VwzkEZy3/d/798/TLVv3/ne1QGgG9H0XquCoN6Pvpt6H5o6zMpZ/nUaxgWJvGU7Tq4Zz7+fb229/7r1Q9nM1550//e6odzqa5x/ejyB1XnQHd/XLvfqt351jfHi++TO+n04zNaRQrGNZn4xla9XB2/7ztw3n+31T1cE47vRvWoSu1Dmd/KH1O4/0oksdVZ0A3jZ9WbScgJ41z3ffjb0T9wzocVR+HVfVw3s8Hnp/HP1U9nM3pNcHzr12lwzmcGDRfVbkZRfK4qgzo9pegcbxe34vge5+XfyB3/6j+WMOwdq9O/Y9TQKseznYkp2ff8Y9VD2ebldNwjjtf53D2/0D/18troPejyB5XlQHd/tvy7fLH44FCbZr/ezf76NQ/rO2YfryfAlr1cBo7f/+V+oZzHdDd/586h7N7PeVH4yLS/Siyx1VlQBvtub4iV6vDr3f1w9r+xv7+dQ5o1cP5vDt6qXo4l70/HVrXOZz3XR0b+3s/iuxx1RrQ04XexqlWvbanHbt/Kmsf1nant8NoBrTe4ex3/nDrz4/GVw7qG87+3Pdb4781D+c6oDejyB5XlQHdXN3MVtX//FbHfzVrH9bm+je46uHsdvj96m6YqofTvGnucIZb8XAaAb0fRfa4Kg1o867Zqv7ntzm9VlP5sI5nvY2AVjyc7Q7/9+v7Casezs7m6i7QiodzFdDbUWSPawUBbb7Xrkbbfp6OcWoe1vF1iK6A1jWcw8n7fjyn+wlrHs5X80b6090+1Q6nM6C7UWSPawUBrepfz3uf57va6h7W5jiMVRyB7gN6vBhxvJ+w5uEc+rkbz25g+32veDiOQMeq+H/+nUs/6x7W/bWjqoezebvcAtN2aFPZcBo3lR/fIVDxcAR0rIqvIN5qPlFrHtbl9rt1XIXfNG5jOry4W/Vwrm/umeNqdUGuwo/1WeU9bC12J1SX+7VrHtZlBoeD3+seztXbHD7rH07zWOyQmIqH09jf+1Fkj6vKgNb5Lop7u/f1/n7112qH1RLQmofTfKPt8TlZ9XDuA1rxcLwTaaw638d753a2g5qH1RLQmodzuTXi6/QaaNXDuT6Fr3w4/3ov/FiVziRzbfu/+mbfVzGs98athhUP57zz55bWPJzPt+ZFpMqH0zw1NxtTSK1zGTYdjwSa1jCsRkCrHs5p5/d7X/18oOfbsi73Z9U7nGZAzQcaU+1s2hef1+e8++isYFjNy6BVD6fxosQKZqRvzK9f/XCuLg6ZkT6m1s9zObt8Rk0joPUP6yqgdQ/n/C9c84bQaodzeS989cPxmUgl1PqJgifNT0S6BLT6YV0HtPLhbG4PY6oezs1c7l/VDufm9iSfyglQJQEFCBJQgCABBQgSUIAgAQUIElCAIAEFCBJQgCABBQgSUIAgAQUIElCAIAEFCBJQgCABBQgSUIAgAQUIElCAIAEFCBJQgCABBQgSUIAgAQUIElCAIAEFCBJQgCABBQgSUIAgAQUIElCAIAEFCBJQgCABBQgSUIAgAQUIElCAIAEFCBJQgCABBQgSUIAgAQUIElCAIAEFCBJQgCABBQgSUIAgAQUIElCAIAEFCBJQgCABBQgSUIAgAQUIElCW5J8/3n77+/jH/xnawH6tf/98+/U/5fYKOggoS3IJ6Obt98D6x7UElBwCypKcA/r5FgnoaS0BJYeAsiSFAgo5BJQlEVCqIqAsiYBSFQFlSY4B3YZw78f+i5+NP++uE/329+4rv/x1+Nvb+c+XtRqvgV6tfPj6++4rp4v9MIKAsiQtAf35/fiXYxK3Af1/p2i+v51cr3UO6HZ7zZV3X/8/3xsbh1EElCW5D+i5n6cIbt7+y/5L35r93J+63wf03M/jytuvXxwOW2EEAWVJ7l4D3SVvX7rPQzMPJ+2HZXZ5/P30h/2Xbm9j2hzKui/tt69TQH8cv+LlUsYSUJbkLqCf51crt9/al3Rz/srnMan7w9R9MG8Cuv3y8TDz+KddQI+vBLyfV4YwAWVJ7gK6uZxpH7+0aTl03K7WFtBGJN/339kF9LjyNqmuIzGWgLIktwFtvDd+l7xdDjd3l3/2J+ZtAW0selh5+/VTjwWUAgSUJWkJaNPue5vm1Z/P87daAtrI5bGXAkpZAsqS3Aa0cQ2+JaDN77YH9PyO+MOGBZSyBJQlaQnobeYuAT0dnv76n/bXQB2BMjUBZUlaTuFvp1W6BPT9fEm94yJS4zXQwxV7AaUsAWVJbgO6uz50c8noHNBGDT/bLyI1rsJvTlfhBZSCBJQlubuN6XKUebmN6S6gu3P5Z+8DFVAKElCWpBnQ/R/2r3Puj0E3b6cb6U8N3Byz+X5+Y+ZprbZ3Iu2+IaCUJaAsyTmghwvsP5o3Kt3dWt/81uGLp7V63gsvoBQkoCzJOaCHd61f38l0eA9R4zamzek7/+34UulprZ7ZmASUggSUJbm882jfwsMloMOkS5fLQZcb6Q9x/f3ytvjjWj3zgQooBQkoQJCAAgQJKECQgAIECShAkIACBAkoQJCAAgQJKECQgAIECShAkIACBAkoQJCAAgQJKECQgAIECShAkIACBAkoQJCAAgQJKECQgAIECShAkIACBAkoQJCAAgQJKECQgAIECShAkIACBAkoQJCAAgQJKECQgAIECShAkIACBAkoQJCAAgQJKECQgAIECShAkIACBAkoQJCAAgQJKECQgAIECShAkIACBAkoQND/B69H/Ye0p6+7AAAAAElFTkSuQmCC" title alt width="672" />

par(mar=numeric(4),family='serif')
plot.nnet(model)
## Loading required package: scales
## Warning in plot.nnet(model): Bias layer not applicable for rsnns object

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" title alt width="672" />

#利用上面建立的模型进行预测
predictions = predict(model,mashroom$inputsTest)

生成混淆矩阵,观察预测精度

confusionMatrix(mashroom$targetsTest,predictions)
##        predictions
## targets 1 2
## 1 473 16
## 2 0 730

R语言-神经网络包RSNNS

可见,人工神经网络算法在蘑菇数据分类预测上具有较高的精度。

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