题目北京大学数学建模竞赛B题.docx

题目北京大学数学建模竞赛B题.docx

《题目北京大学数学建模竞赛B题.docx》由会员分享，可在线阅读，更多相关《题目北京大学数学建模竞赛B题.docx（20页珍藏版）》请在冰豆网上搜索。

题目北京大学数学建模竞赛B题

附件中的文件给出了一个114个基因,60个人的基因表达水平的样本.其中前20个是癌症病人的基因表达水平的样本（其中还可能有子类）,其后的是20个正常人的基因表达信息样本,其余的20个是待检测的样本（未知它们是否正常）.

（1）.试设法找出描述癌症与正常样本在基因表达水平上的区别,建立数学模型,及识别方法,去预测待检测样本是癌症还是正常样本.

（2）.设计图示（可视化）方法,使得在你的数学模型下,尽量清楚地表现癌症与正常样本在基因表达水平上的区别,以及癌症样本中是否有子类.

这道题是很典型的用神经网络的分类问题，只需用感知器神经网络便能完成此分类工作，我们用前40组数据对网络进行训练，再用训练号的网络来计算后20组数据，便能得到分类的结果。

详细的程序可参见本讲义附带的Matlab程序。

前40人

第1个人：

108.60111.84693.141119.66533.3880.01184.58160.32253.2889.18158.68213.4828.59441.63590.93680.20145.23231.85162.3053.95319.84264.57132.84444.28272.17217.27349.27222.9947.79678.00596.0968.5288.47146.93212.9677.412590.652590.652590.652590.6568.54193.55284.6591.1470.46703.73388.17667.1148.96716.31931.8593.4891.40689.8925.73937.522296.28226.87162.95173.01170.261233.46186.761282.52292.45202.55855.40368.07889.3499.13142.6053.83196.62187.00110.00160.89229.0937.94172.3148.7762.56456.85424.99420.45651.0288.03829.44420.9568.71496.25305.58366.12200.99445.20101.74783.1586.3443.58932.48143.84576.22661.99114.25149.6464.02207.16170.7778.57307.27769.12622.30606.68161.28222.58;...

第2个人：

109.08244.52228.23468.63205.9364.13188.1531.89173.8872.2561.4989.81160.1177.81324.94246.30177.65440.83134.55102.81100.5243.5692.38419.84147.18167.91295.63218.1258.68204.52346.08101.7078.32133.26265.85130.192298.672298.672298.672298.67278.29119.9168.8925.2965.66886.99551.87616.1566.73507.30769.6256.1786.71504.3015.11540.34497.12165.3192.32164.4676.18608.18139.24150.6487.57562.06370.56133.14301.27157.98166.7551.75278.52283.0234.30256.86148.2689.69157.4042.6751.14444.42125.32421.54676.72102.8497.94293.4739.8355.26185.88163.88191.0478.6949.26559.8769.34215.74665.9858.82293.40377.21151.9139.1732.08223.56100.8187.94249.79752.06770.50860.6063.17144.21;...

第3个人：

87.9374.36887.701223.09659.5596.11518.84586.09453.5241.67249.57370.82101.7928.81659.171481.54115.50169.61387.9882.20367.35405.15341.03200.7590.88149.18449.08250.7257.691650.38704.8982.92111.52215.52266.8068.971468.581468.581468.581468.58510.41416.58251.51138.2640.79621.34188.28481.5643.56334.101310.66182.4752.151157.6259.134514.642913.44350.92300.18227.99134.974200.70169.23504.6367.31315.67708.47153.26179.47143.6143.3032.41122.43392.55197.2985.03192.62135.59125.7898.0179.03316.81592.521045.401575.27257.481740.96893.61139.68463.29146.51212.71160.11787.4079.78224.54251.17181.93528.8774.15799.581246.7246.9960.1890.02688.72161.45140.18552.08667.93463.82331.27199.37182.67;...

第4个人：

149.1672.79312.48647.41572.9695.37433.43131.83511.11111.45158.41281.7394.87302.71272.46587.8194.22393.12259.9634.62349.36245.6878.85432.10207.35165.60416.97257.3535.17753.59293.7274.5887.95152.46262.9183.951414.951414.951414.951414.95276.76303.48170.4445.9035.53474.30173.06896.7465.36816.63730.32121.7291.061800.2327.43842.652635.96258.58190.59201.56250.102078.01187.58566.21114.84418.701280.13260.30518.77114.00136.0772.77206.73234.62108.67195.44233.5448.19135.9395.7154.28349.74352.93727.521877.1678.29941.46767.6485.65293.41194.00230.04141.70430.8917.89204.67136.8237.98707.41189.80576.88989.77226.4193.6254.75458.9883.7632.01832.741167.00450.57685.27129.8890.65;...

第5个人：

93.11107.74345.59465.631445.7735.48323.94324.16716.74106.60163.86225.4814.39131.38443.83757.7684.46179.7489.3417.92365.98558.3294.40282.83112.2797.3978.92832.4222.03661.12430.4931.7093.98271.30145.8999.641238.171238.171238.171238.17232.77750.12102.24114.0133.111747.42157.02835.2811.42754.15754.73252.3221.721493.6624.391679.963541.17324.02816.7158.63199.242641.06169.10594.3761.62416.07721.61328.37376.6385.6270.1762.47132.95345.35138.2754.9663.109.72159.8259.4120.12635.21395.07285.212983.5425.051737.492289.91164.08318.23214.74105.0294.801095.6882.14145.40443.3249.56414.32139.041340.151220.66136.72655.0119.88616.2561.6226.811128.821215.41309.48353.88477.09128.20;...

第6个人：

246.7142.76227.41332.06883.8768.11546.11167.04579.2987.99345.37398.75111.65109.51193.04686.9241.93362.99402.0692.54338.84487.3081.32363.51197.5421.96540.43540.3886.371880.76183.0384.10143.25161.49339.0728.101220.431220.431220.431220.43320.24393.29524.98118.6563.31359.3733.62664.7252.50837.77791.0593.9525.081721.7428.641574.802291.94250.99471.75189.93268.811779.60151.231443.19114.78557.74275.43478.86601.46167.59101.2673.34212.98379.42178.50155.18100.5469.32295.08156.5398.51168.08795.011154.482202.03123.801346.801003.44148.01567.22448.01166.6149.17822.1672.40199.66185.4185.74615.84142.381081.50890.43145.3321.2395.79478.81178.24100.64551.21980.30173.90689.55430.79130.13;...

第7个人：

152.7184.68827.261058.09892.17113.75270.53221.24388.9745.27221.74132.70109.28371.09752.901260.27178.42343.71316.5763.53563.22454.25128.50328.88155.02245.78393.16287.3771.531493.73691.44178.17132.77263.59255.5484.731901.101901.101901.101901.10324.95262.67302.32139.8470.12463.23319.97399.2769.79693.201320.5094.3475.50402.0355.511193.253648.27331.63493.78221.24123.323438.38202.88335.30109.14317.431061.85180.35378.0765.17312.2183.4855.58336.51199.88224.41340.99138.45105.79112.93141.14344.521109.431217.781319.27143.21889.26541.93128.34619.73234.71274.97182.70390.0120.36398.09158.24176.03727.32153.56396.49930.83131.2989.4499.50382.9377.48165.57545.00323.88407.00898.90301.48208.81;...

第8个人：

98.58113.92656.71937.78699.8679.17451.86318.24377.3948.05295.29319.7370.43172.03681.621119.82117.00189.88274.0941.27628.40342.72138.64195.70110.62295.35453.37473.7658.35695.55653.8286.31159.68341.66288.8583.552655.142655.142655.142655.14448.15394.35159.16128.6447.19978.86291.56285.9792.68570.631038.82196.6969.721829.8536.131460.412979.67370.81686.33216.3667.152151.42150.85182.9986.88155.541223.61252.36447.91155.43128.1651.25146.33340.58159.01750.93250.6817.80119.8849.0484.83322.98301.90567.351474.7689.60808.341055.67117.22201.20145.49110.59193.72654.69179.70464.43105.49213.69700.18148.091205.23993.11101.3936.8771.54665.09102.8053.81582.97359.72484.58507.01219.79203.31;...

第9个人：

75.4147.20345.991264.30614.5733.38133.80120.46376.0142.80104.73174.0539.72421.70372.21707.8691.75396.66119.9748.63322.66349.5386.69355.25116.6184.70224.42393.5040.66689.90362.47242.8041.03169.26100.4274.021913.441913.441913.441913.44393.70398.9692.41181.5057.72577.4691.52346.5836.18895.331294.59204.7056.791144.7440.981748.49880.78303.281022.6194.90243.712193.19183.20701.57111.5258.42489.26408.75368.72165.22119.7492.6474.23334.84115.271133.40174.3968.1896.7433.1338.76192.96554.90518.722105.1570.231001.61979.2295.22257.43424.23290.17118.19737.2029.51361.91232.24154.99718.52222.201095.741623.68129.7131.4754.53570.3294.3865.72403.99233.47448.54519.01170.10181.29;...

第10个人：

83.7983.81366.571030.621464.0327.90338.71213.58588.4363.77217.82479.3626.73159.76247.581466.97130.15224.23175.8717.04643.75568.84160.73282.27106.03131.11151.19413.9825.54660.69284.6243.62120.90209.09168.77108.531633.381633.381633.381633.38566.67555.81128.98128.3718.23680.7282.35554.0654.01870.021405.41210.6437.801924.1629.311589.023104.48326.66705.1994.31148.523243.29220.14714.70107.88227.761474.58464.34437.23175.2573.4747.7090.56375.75216.6972.2225.9713.59183.3429.1820.39374.96372.58503.932525.7147.831516.551416.97170.52330.87354.00135.95125.631211.8081.00363.29287.4676.38759.91117.49605.871317.47108.2644.5013.78617.1184.0423.12744.34753.76578.84566.44387.75137.43;...

第11个人：

154.0875.82187.59687.56736.33104.31102.5947.86236.0051.32107.20161.6139.62430.74245.43625.91177.41184.33158.2165.00231.74285.72137.22316.61125.24114.72574.95577.4339.06797.27270.59312.8565.04287.47248.0777.772027.282027.282027.282027.28138.77237.00143.7655.9370.921431.4180.94661.3970.19544.01765.6798.2955.771458.0621.08915.151885.04225.8795.26204.20129.631170.76288.73608.49242.94108.531357.62481.47666.62106.81124.1458.20173.51201.7189.39157.67160.8825.85245.72104.1470.51302.82685.10573.061770.1296.741010.88810.72101.25570.97227.66248.66175.74547.7687.33487.8291.9625.91664.79169.20527.71551.98121.6811.6034.73284.68177.6320.66714.94873.44480.29404.25215.3985.56;...

第12个人：

47.5763.21284.861524.891051.2829.22379.72123.79621.1226.34185.87390.5946.2690.10207.881458.8137.87111.29344.0647.24800.03484.2773.57193.2982.5160.91549.54644.2049.781374.70184.8266.39132.07415.90194.4745.11664.50664.50664.50664.50251.71621.30137.30147.9842.851477.0125.11110.5026.14220.181604.41276.0930.012785.9528.002229.27326.87318.15452.25141.6769.963902.05144.38504.9745.6296.01608.70227.96213.9245.0655.6731.5673.07492.24125.4052.21220.9941.6225.3295.0351.39127.75665.91679.953049.6993.701391.951380.10136.79513.05191.07116.3764.32459.7529.37124.12145.1544.68367.8556.53100.202099.2424.7348.3571.12736.58159.8636.05750.92157.01327.66302.53204.41135.08

第13个人：

30.09237.903411.162670.09563.02145.22323.21360.94278.9213.97157.1