Source code for openmdao.lib.surrogatemodels.response_surface

"""Surrogate Model based on second order response surface equations."""

from numpy import matrix, linalg, power, multiply, concatenate, ones

from openmdao.main.api import Container
from openmdao.main.interfaces import implements,ISurrogate
from openmdao.lib.datatypes.api import Float, Bool

[docs]class ResponseSurface(Container): implements(ISurrogate) def __init__(self,X=None,Y=None): # must call HasTraits init to set up Traits stuff super(ResponseSurface, self).__init__() self.m = None #number of training points self.n = None #number of independents self.betas = None #vector of response surface equation coefficients if X is not None and Y is not None: self.train(X,Y)
[docs] def get_uncertain_value(self,value): """Returns the value iself. Response surface equations don't have uncertainty.""" return value
[docs] def train(self,X,Y): """ Calculate response surface equation coefficients using least squares regression. """ X = matrix(X) Y = matrix(Y).T self.m = X.shape[0] self.n = X.shape[1] # Modify X to include constant, squared terms and cross terms X = concatenate((matrix(ones((self.m,1))),X),1) for i in range(1,self.n+1): X = concatenate((X,power(X[:,i],2)),1) for i in range(1,self.n): for j in range(i+1,self.n+1): X = concatenate((X,multiply(X[:,i],X[:,j])),1) # Determine response surface equation coefficients (betas) using least squares self.betas, rs, r, s = linalg.lstsq(X,Y)
[docs] def predict(self,new_x): """Calculates a predicted value of the response based on the current response surface model for the supplied list of inputs. """ new_x = matrix(new_x) # Modify new_x to include constant, squared terms and cross terms new_x = concatenate((matrix(ones((1,1))),new_x),1) for i in range(1,self.n+1): new_x = concatenate((new_x,power(new_x[:,i],2)),1) for i in range(1,self.n): for j in range(i+1,self.n+1): new_x = concatenate((new_x,multiply(new_x[:,i],new_x[:,j])),1) # Predict new_y using new_x and betas new_y = new_x*self.betas return new_y[0,0]
if __name__ == "__main__": import time tt = time.time() # X = [[2.26,0.65],[6.11,9.53],[7.92,2.88],[2.03,9.97],[9.16,7.18],[2.98,2.5],[8.2,5.58],[6.37,4.92],[1.12,5.7],[4.76,0.9],[8.16,6.98],[6.06,1.54],\ # [4.54,5.82],[5.24,8.66],[7.8,2.41],[2.94,1.77],[8.84,6.64],[5.16,7.62],[9.14,6.51],[1.5,7.75],[7.62,5.45],[9.98,1.39],[3.15,5.25],[1.75,9.9],\ # [1.27,1.96],[3.63,1.64],[8.73,9.15],[8.34,9.45],[9.46,4.09],[9.61,4.18],[9.01,6.4],[3.69,4],[8.2,8.43],[6.81,6.1],[6.67,6.11]] # Y = [11.031825,278.8868,115.772,185.305,279.3373,36.6028,197.9325,137.621475,64.4913,33.1837,243.8833,58.042,124.4148,223.8245,102.401125,26.901425,\ # 250.4164,188.2781,254.037625,113.640625,180.029425,117.424825,86.495,176.559375,15.700075,31.741075,344.5268,344.435825,181.506625,187.824175,\ # 246.523075,69.922075,298.858125,180.836575,177.8742] X = [[3000,2,1,1,0],\ [3000,2,1,1,5],\ [3000,2,1,1,10],\ [3000,2,1,1,15],\ [3000,2,1,1,20],\ [3000,2,1,2,0],\ [3000,2,1,2,5],\ [3000,2,1,2,10],\ [3000,2,1,2,15],\ [3000,2,1,2,20],\ [3000,2,1,3,0],\ [3000,2,1,3,5],\ [3000,2,1,3,10],\ [3000,2,1,3,15],\ [3000,2,1,3,20],\ [3000,2,1,4,0],\ [3000,2,1,4,5],\ [3000,2,1,4,10],\ [3000,2,1,4,15],\ [3000,2,1,4,20],\ [3000,2,1,5,0],\ [3000,2,1,5,5],\ [3000,2,1,5,10],\ [3000,2,1,5,15],\ [3000,2,1,5,20],\ [3000,2,1.375,1,0],\ [3000,2,1.375,1,5],\ [3000,2,1.375,1,10],\ [3000,2,1.375,1,15],\ [3000,2,1.375,1,20],\ [3000,2,1.375,2,0],\ [3000,2,1.375,2,5],\ [3000,2,1.375,2,10],\ [3000,2,1.375,2,15],\ [3000,2,1.375,2,20],\ [3000,2,1.375,3,0],\ [3000,2,1.375,3,5],\ [3000,2,1.375,3,10],\ [3000,2,1.375,3,15],\ [3000,2,1.375,3,20],\ [3000,2,1.375,4,0],\ [3000,2,1.375,4,5],\ [3000,2,1.375,4,10],\ [3000,2,1.375,4,15],\ [3000,2,1.375,4,20],\ [3000,2,1.375,5,0],\ [3000,2,1.375,5,5],\ [3000,2,1.375,5,10],\ [3000,2,1.375,5,15],\ [3000,2,1.375,5,20],\ [3000,2,1.75,1,0],\ [3000,2,1.75,1,5],\ [3000,2,1.75,1,10],\ [3000,2,1.75,1,15],\ [3000,2,1.75,1,20],\ [3000,2,1.75,2,0],\ [3000,2,1.75,2,5],\ [3000,2,1.75,2,10],\ 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8866.45563,\ 8883.21465,\ 8877.03149,\ 8224.7895,\ 8805.64678,\ 8885.87324,\ 8886.0712,\ 8885.24332,\ 8225.34152,\ 8873.41351,\ 8886.0891,\ 8886.08974,\ 8885.95443,\ 8225.87848,\ 8885.05561999999,\ 8886.08217,\ 8886.08178,\ 8886.05102,\ 8251.02635,\ 8320.44349,\ 8566.11699,\ 8747.51056,\ 8782.98012,\ 8251.02635,\ 8542.61478,\ 8964.26984,\ 9064.69407,\ 9040.30774,\ 8251.02635,\ 8800.20603,\ 9098.12618,\ 9109.15596,\ 9097.40907,\ 8251.02635,\ 8985.65585,\ 9110.73542,\ 9111.07673,\ 9107.84909,\ 8251.02635,\ 9076.81712,\ 9111.13059,\ 9111.13354,\ 9110.05049,\ 8277.55612,\ 8309.85206,\ 8478.55084999999,\ 8656.05346,\ 8711.04313,\ 8277.55612,\ 8453.83882,\ 8912.77887,\ 9112.69857,\ 9084.93134,\ 8277.55612,\ 8693.85774,\ 9201.65958,\ 9274.07721,\ 9230.64524,\ 8277.55612,\ 8935.98236,\ 9288.5972,\ 9297.97094,\ 9276.80073,\ 8277.55612,\ 9121.22747,\ 9299.34649,\ 9299.92217,\ 9290.96818,\ 8304.08589,\ 8319.00749,\ 8420.84127,\ 8560.83521,\ 8620.60315,\ 8304.08589,\ 8400.31795,\ 8793.78521,\ 9050.464,\ 9039.68889,\ 8304.08589,\ 8578.93793,\ 9172.34907,\ 9345.37047,\ 9272.52881,\ 8304.08589,\ 8809.7782,\ 9383.48193,\ 9440.57979,\ 9377.81335,\ 8304.08589,\ 9035.89578,\ 9448.71591,\ 9458.19287,\ 9421.92158,\ 8330.61565,\ 8337.3089,\ 8395.7747,\ 8492.81648,\ 8545.60419,\ 8330.61565,\ 8380.71501,\ 8672.35316,\ 8934.1408,\ 8946.8699,\ 8330.61565,\ 8496.68059,\ 9057.90776,\ 9315.64171,\ 9237.87994,\ 8330.61565,\ 8679.58277,\ 9365.94695,\ 9512.98611,\ 9404.64963,\ 8330.61565,\ 8894.89906,\ 9529.618,\ 9579.65209,\ 9492.2881,\ 8224.49659,\ 8596.98891,\ 8857.44651,\ 8881.33736,\ 8874.05819,\ 8225.22125,\ 8865.87898,\ 8886.08707,\ 8886.08952,\ 8885.89938,\ 8226.22247,\ 8885.94672,\ 8886.08045,\ 8886.08055,\ 8886.06843,\ 8227.10034,\ 8886.08958,\ 8886.08031,\ 8886.08031,\ 8886.08128,\ 8227.84163,\ 8886.08056,\ 8886.08031,\ 8886.08031,\ 8886.08277,\ 8251.02635,\ 8513.63455,\ 8933.48853,\ 9049.33429,\ 9026.38896,\ 8251.02635,\ 8953.40024,\ 9110.22464,\ 9111.00967,\ 9106.76153,\ 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15045.1529,\ 15077.8558,\ 14973.0731,\ 14989.0383,\ 15027.8363,\ 15083.2367,\ 15131.8594,\ 14998.753,\ 14998.753,\ 14998.753,\ 14998.8534,\ 14999.5911,\ 14998.753,\ 14999.7805,\ 15002.6428,\ 15006.4061,\ 15010.3853,\ 14998.753,\ 15002.2203,\ 15009.1913,\ 15018.9054,\ 15028.9336,\ 14998.753,\ 15004.5724,\ 15017.3585,\ 15035.992,\ 15054.5964,\ 14998.753,\ 15006.7582,\ 15026.9871,\ 15057.486,\ 15086.7102,\ 14901.6509,\ 15126.7366,\ 15447.9503,\ 15674.8315,\ 15772.7816,\ 14893.6189,\ 15346.9687,\ 15923.601,\ 16196.3014,\ 16241.7694,\ 14894.2981,\ 15597.3597,\ 16260.4645,\ 16484.7367,\ 16475.8415,\ 14895.642,\ 15838.7026,\ 16485.2053,\ 16639.6764,\ 16601.6885,\ 14897.1378,\ 16051.3257,\ 16625.8753,\ 16716.951,\ 16671.838,\ 14922.8951,\ 15017.0399,\ 15227.3673,\ 15433.2698,\ 15547.9431,\ 14919.1762,\ 15139.0958,\ 15669.9086,\ 16029.596,\ 16128.1076,\ 14919.1762,\ 15328.8194,\ 16091.6356,\ 16463.3547,\ 16492.5874,\ 14919.1762,\ 15560.4444,\ 16436.1782,\ 16751.2972,\ 16720.981,\ 14919.4421,\ 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16517.3933,\ 16544.4775,\ 14893.8392,\ 15486.2977,\ 16127.8455,\ 16378.7623,\ 16391.036,\ 14897.3221,\ 16074.5867,\ 16638.2622,\ 16722.8122,\ 16677.8754,\ 14901.3174,\ 16457.9289,\ 16759.5817,\ 16769.0651,\ 16744.5575,\ 14905.1998,\ 16660.4117,\ 16772.0083,\ 16772.3798,\ 16762.1085,\ 14908.8058,\ 16743.2991,\ 16772.5602,\ 16772.5633,\ 16767.582,\ 14919.1762,\ 15238.0383,\ 15913.8884,\ 16292.6925,\ 16353.1834,\ 14919.4968,\ 15830.6591,\ 16721.6693,\ 16948.0337,\ 16879.7353,\ 14920.728,\ 16373.7187,\ 17055.0505,\ 17117.4715,\ 17048.5997,\ 14921.9901,\ 16752.8089,\ 17136.426,\ 17144.2905,\ 17105.8271,\ 14923.2075,\ 16978.0624,\ 17146.8011,\ 17147.2913,\ 17126.8613,\ 14945.7018,\ 15102.1498,\ 15635.7962,\ 16055.6849,\ 16164.799,\ 14945.7018,\ 15545.076,\ 16578.3699,\ 16968.8568,\ 16905.5203,\ 14945.7018,\ 16108.654,\ 17152.5432,\ 17339.4853,\ 17215.0448,\ 14945.7407,\ 16604.3781,\ 17393.6092,\ 17445.5358,\ 17346.1806,\ 14946.2588,\ 16974.9395,\ 17458.9145,\ 17467.2099,\ 17403.7626,\ 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21612.3093,\ 21635.377,\ 21675.3019,\ 21726.1075,\ 21773.2268,\ 21612.1946,\ 21648.1498,\ 21717.7189,\ 21806.4872,\ 21883.0303,\ 21610.9044,\ 21659.9173,\ 21765.3396,\ 21898.6636,\ 22005.0808,\ 21630.2212,\ 21631.2863,\ 21633.0241,\ 21635.1125,\ 21637.3195,\ 21632.4656,\ 21637.9423,\ 21646.3984,\ 21657.2303,\ 21668.4021,\ 21633.8172,\ 21645.2814,\ 21665.3878,\ 21692.199,\ 21718.7648,\ 21634.0618,\ 21652.3296,\ 21688.4993,\ 21737.9976,\ 21784.6849,\ 21633.5897,\ 21658.8717,\ 21715.1222,\ 21793.2524,\ 21862.9372,\ 21586.9004,\ 22208.8334,\ 22714.5302,\ 23006.0986,\ 23119.1866,\ 21534.0751,\ 22598.4641,\ 23317.9925,\ 23590.7739,\ 23629.1889,\ 21536.7554,\ 22937.1847,\ 23657.1641,\ 23847.8484,\ 23837.7143,\ 21543.0697,\ 23220.527,\ 23849.9815,\ 23965.188,\ 23936.1695,\ 21549.9117,\ 23446.505,\ 23955.9411,\ 24017.1829,\ 23986.3147,\ 21571.004,\ 21862.424,\ 22304.3798,\ 22648.3252,\ 22817.6432,\ 21552.5407,\ 22149.1173,\ 23024.6951,\ 23483.1364,\ 23592.6627,\ 21552.3001,\ 22495.5223,\ 23565.3884,\ 23968.7443,\ 23993.2319,\ 21553.608,\ 22854.6072,\ 23943.593,\ 24245.6975,\ 24214.8341,\ 21555.2229,\ 23187.716,\ 24196.1302,\ 24399.7191,\ 24343.3426,\ 21586.9933,\ 21720.3952,\ 22000.3397,\ 22285.3041,\ 22458.2589,\ 21577.3017,\ 21877.06,\ 22613.3864,\ 23149.4962,\ 23327.8196,\ 21577.1783,\ 22116.3748,\ 23217.6139,\ 23802.1508,\ 23891.4027,\ 21577.1783,\ 22422.5973,\ 23729.6577,\ 24251.5201,\ 24252.5939,\ 21577.555,\ 22756.6738,\ 24130.5745,\ 24548.6641999999,\ 24488.0756,\ 21608.7561,\ 21673.7209,\ 21831.5714,\ 22026.492,\ 22167.2527,\ 21603.6997,\ 21753.3734,\ 22262.6659,\ 22758.0085,\ 22971.06,\ 21603.6997,\ 21890.2503,\ 22797.7959,\ 23456.9314,\ 23614.093,\ 21603.6997,\ 22097.0486,\ 23339.2083,\ 24024.4075,\ 24085.3084,\ 21603.6997,\ 22358.9617,\ 23826.5915,\ 24454.4344,\ 24425.2615,\ 21632.5523,\ 21666.4777,\ 21753.118,\ 21874.0848,\ 21974.0124,\ 21630.2212,\ 21707.8647,\ 22026.9388,\ 22418.3005,\ 22626.7045,\ 21630.2212,\ 21780.7219,\ 22432.8861,\ 23057.2057,\ 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24949.4075,\ 24988.278,\ 24911.5103,\ 21582.445,\ 24577.2077,\ 24997.928,\ 25003.8142,\ 24956.8664,\ 21603.6997,\ 21821.253,\ 22556.322,\ 23163.0572,\ 23354.1901,\ 21603.6997,\ 22393.0082,\ 23880.0727,\ 24497.7098,\ 24459.0902,\ 21603.6997,\ 23165.3718,\ 24748.1411,\ 25099.1657,\ 24942.5473,\ 21604.0704,\ 23877.2111,\ 25178.949,\ 25318.812,\ 25161.8879,\ 21604.7964,\ 24435.7731,\ 25345.1204,\ 25384.0114,\ 25266.2782,\ 21630.2212,\ 21743.2027,\ 22240.7827,\ 22774.8313,\ 22992.39,\ 21630.2212,\ 22102.9165,\ 23465.531,\ 24230.0367,\ 24246.2089,\ 21630.2212,\ 22732.9244,\ 24522.4433,\ 25090.9455,\ 24915.5574,\ 21630.2212,\ 23438.7218,\ 25192.2718,\ 25504.365,\ 25266.257,\ 21630.2212,\ 24084.7869,\ 25542.5945,\ 25673.8472,\ 25454.4882,\ 21548.8086,\ 23413.9988,\ 23943.1527,\ 24011.5414,\ 23980.2862,\ 21580.7089,\ 23955.666,\ 24050.7369,\ 24051.2368,\ 24043.6804,\ 21607.3234,\ 24045.5061,\ 24051.4695,\ 24051.469,\ 24049.3717,\ 21628.7496,\ 24051.3229,\ 24051.4702,\ 24051.4702,\ 24050.3872,\ 21646.0087,\ 24051.4685,\ 24051.4702,\ 24051.4702,\ 24050.6325,\ 21554.9555,\ 23137.0291,\ 24162.6584,\ 24380.9464,\ 24327.0171,\ 21563.3196,\ 24178.4468,\ 24545.5236,\ 24554.0925,\ 24524.096,\ 21570.967,\ 24498.7404,\ 24557.5283,\ 24557.5563,\ 24548.365,\ 21577.3773,\ 24552.8529,\ 24557.6052,\ 24557.6045,\ 24553.2234,\ 21582.6263,\ 24557.3844,\ 24557.6054,\ 24557.6054,\ 24554.5877,\ 21577.4635,\ 22702.7611,\ 24073.6893,\ 24509.3476,\ 24456.6573,\ 21580.4991,\ 24076.9462,\ 24924.4309,\ 24979.6223,\ 24895.1897,\ 21583.4593,\ 24745.0415,\ 25004.7256,\ 25006.0039,\ 24972.1123,\ 21586.0344,\ 24958.9682,\ 25006.9137,\ 25006.904,\ 24990.5023,\ 21588.1935,\ 25001.2433,\ 25006.9404,\ 25006.9386,\ 24996.2891999999,\ 21603.6997,\ 22314.2898,\ 23753.5224,\ 24394.1022,\ 24378.0391999999,\ 21603.9097,\ 23733.2665,\ 25113.4038,\ 25289.6735,\ 25127.0982,\ 21605.2682,\ 24719.7836,\ 25383.929,\ 25397.4366,\ 25305.0535,\ 21606.4931,\ 25193.1579,\ 25404.9297,\ 25405.1551,\ 25356.3121,\ 21607.5478,\ 25357.7402,\ 25405.7108,\ 25405.6812,\ 25374.3481,\ 21630.2212,\ 22047.3282,\ 23330.1993,\ 24099.3546,\ 24142.9491,\ 21630.2212,\ 23286.2024,\ 25076.9072,\ 25440.8879,\ 25207.2924,\ 21630.2212,\ 24455.402,\ 25658.0478,\ 25720.9411,\ 25530.9318,\ 21630.3847,\ 25196.3843,\ 25753.4182,\ 25757.4051,\ 25641.5796,\ 21630.9579,\ 25565.207,\ 25761.4344,\ 25761.3494,\ 25685.0541,\ 21569.1059,\ 23837.0997,\ 24044.9155,\ 24049.672,\ 24035.3483,\ 21612.8934,\ 24048.8184,\ 24051.4701,\ 24051.4698,\ 24049.7643,\ 21643.7992,\ 24051.4668,\ 24051.4702,\ 24051.4702,\ 24050.6169,\ 21665.7839,\ 24051.4702,\ 24051.4702,\ 24051.4702,\ 24050.6011,\ 21681.7576,\ 24051.4702,\ 24051.4702,\ 24051.4702,\ 24050.268,\ 21560.1494,\ 23896.1101,\ 24501.4129,\ 24540.316,\ 24492.8017,\ 21572.6172,\ 24523.4596,\ 24557.5858,\ 24557.5871,\ 24550.2017,\ 21581.9523,\ 24557.2556,\ 24557.6054,\ 24557.6054,\ 24554.4793,\ 21588.6578,\ 24557.6043,\ 24557.6054,\ 24557.6054,\ 24554.9676,\ 21593.4872,\ 24557.6054,\ 24557.6054,\ 24557.6054,\ 24554.4926,\ 21579.3173,\ 23637.3693,\ 24768.3632,\ 24916.352,\ 24811.4042,\ 21584.1149,\ 24825.1288,\ 25006.1276,\ 25006.5206,\ 24978.8384,\ 21587.9139,\ 24999.0775,\ 25006.9402,\ 25006.9376,\ 24995.7914,\ 21590.7215,\ 25006.8072,\ 25006.9406,\ 25006.9405,\ 24998.7136,\ 21592.7773,\ 25006.9394,\ 25006.9406,\ 25006.9406,\ 24998.4783,\ 21603.6997,\ 23213.2947,\ 24786.1848,\ 25120.9863,\ 24961.7616,\ 21605.5765,\ 24873.3087999999,\ 25395.346,\ 25401.4027,\ 25323.0855,\ 21607.4098,\ 25345.4598,\ 25405.6967,\ 25405.662,\ 25372.7148,\ 21608.8139,\ 25402.5414,\ 25405.7305,\ 25405.7284,\ 25383.2781,\ 21609.8686,\ 25405.631,\ 25405.7306,\ 25405.7305,\ 25384.8791,\ 21630.2212,\ 22776.7131,\ 24575.5647,\ 25127.5109,\ 24944.6396,\ 21630.2212,\ 24673.0357,\ 25702.0069,\ 25737.7166,\ 25568.3159,\ 21630.8821,\ 25530.5246,\ 25761.1823,\ 25761.1636,\ 25680.9395,\ 21631.6636,\ 25734.6633,\ 25761.9133,\ 25761.8808,\ 25709.1369,\ 21632.2669,\ 25759.9632,\ 25761.9181,\ 25761.9148,\ 25716.2675,\ 28412.8864,\ 28543.9182,\ 28669.3786,\ 28779.0991,\ 28864.2693,\ 28550.95,\ 28838.6929,\ 29082.4259,\ 29268.5529,\ 29388.8786,\ 28593.0381,\ 29039.2417,\ 29375.2255,\ 29603.388,\ 29729.4396,\ 28579.8283999999,\ 29189.8954,\ 29598.332,\ 29846.9305,\ 29965.4319,\ 28530.6844,\ 29310.8264,\ 29775.6054,\ 30030.2395,\ 30135.2501,\ 28216.9262,\ 28265.6932,\ 28323.0459,\ 28382.3543,\ 28435.3631,\ 28270.1927,\ 28415.9164,\ 28584.1611,\ 28742.6807,\ 28863.3531,\ 28284.9007,\ 28542.5532,\ 28831.377,\ 29078.9064,\ 29242.4216,\ 28274.6339,\ 28649.3127,\ 29056.5515,\ 29374.8456,\ 29559.575,\ 28251.537,\ 28742.4397,\ 29261.0965,\ 29632.1419,\ 29822.7331,\ 28195.0246,\ 28212.7672,\ 28235.4206,\ 28260.9139,\ 28285.7137,\ 28218.2584,\ 28280.2844,\ 28364.6121,\ 28456.7305,\ 28536.6485,\ 28226.511,\ 28344.1963,\ 28511.6785,\ 28685.7912,\ 28820.4376,\ 28223.8933,\ 28401.2458,\ 28663.9075,\ 28921.6037,\ 29099.968,\ 28215.5945,\ 28452.7285,\ 28817.0769,\ 29153.0071,\ 29362.0065,\ 28206.5063,\ 28213.6474,\ 28223.0285,\ 28233.993,\ 28245.1635,\ 28217.9232,\ 28245.4406,\ 28285.5994,\ 28333.3243,\ 28378.5487,\ 28223.1231,\ 28277.954,\ 28365.2837,\ 28468.1512,\ 28557.7925,\ 28223.1052,\ 28308.0327,\ 28454.6389,\ 28623.5215,\ 28758.3643,\ 28220.0325,\ 28335.5541,\ 28550.6605,\ 28790.8026,\ 28966.3317,\ 28227.1996,\ 28230.3731,\ 28234.5663,\ 28239.5401,\ 28244.7318,\ 28233.2907,\ 28246.3605,\ 28265.9196,\ 28290.1878,\ 28314.496,\ 28236.6473,\ 28263.7007,\ 28308.7814,\ 28365.8552,\ 28419.8902,\ 28237.3289,\ 28280.2343,\ 28359.319,\ 28460.0331,\ 28549.4855,\ 28236.2448,\ 28295.5299,\ 28415.8504,\ 28568.3834,\ 28694.8978,\ 28439.2992,\ 29435.8808,\ 29952.1153,\ 30200.8309,\ 30286.3294,\ 28176.6334,\ 29870.5012,\ 30430.5072,\ 30573.573,\ 30589.8428,\ 28179.9394,\ 30164.739,\ 30600.7166,\ 28202.995,\ 30369.4748,\ 28227.4158,\ 30503.7878,\ 28218.7079,\ 28846.85,\ 29491.4082,\ 29906.1974,\ 30090.3121,\ 28154.5097,\ 29310.7076,\ 30328.583,\ 30739.5891,\ 30825.0929,\ 28153.0965,\ 29755.426,\ 30809.3696,\ 31089.8948,\ 31104.3671,\ 28157.0182,\ 30153.0286,\ 31074.6975,\ 31237.8077,\ 31223.8828,\ 28161.8501,\ 30480.095,\ 31214.3263,\ 31299.9955,\ 31279.6557,\ 28203.1591,\ 28512.298,\ 29007.2455,\ 29428.3892,\ 29658.881,\ 28174.8354,\ 28818.1535,\ 29887.1788,\ 30502.6481,\ 30684.3956,\ 28172.8876,\ 29203.3969,\ 30582.6042,\ 31142.7675,\ 31217.2822,\ 28173.7957,\ 29632.0262,\ 31080.2565,\ 31504.6811,\ 31504.6259,\ 28175.2358,\ 30051.1105,\ 31414.3198,\ 31703.4399,\ 31665.8888,\ 28214.6183,\ 28367.5041,\ 28678.0179,\ 29008.3765,\ 29224.7143,\ 28199.2634,\ 28537.7744,\ 29390.798,\ 30059.7429,\ 30316.3602,\ 28197.9871,\ 28790.8521,\ 30118.2914,\ 30878.8415,\ 31039.4585,\ 28197.9871,\ 29129.2382,\ 30753.5443,\ 31448.7201,\ 31502.0773,\ 28198.1726,\ 29515.8414,\ 31259.8892,\ 31825.8106,\ 31800.3028,\ 28233.7347,\ 28313.2348,\ 28493.923,\ 28719.0354,\ 28889.7949,\ 28224.6508,\ 28405.2633,\ 28993.69,\ 29591.0371,\ 29875.4992,\ 28224.5044,\ 28551.5651,\ 29618.7327,\ 30441.3331,\ 30679.4181,\ 28224.5044,\ 28775.0282,\ 30265.4745,\ 31141.0842,\ 31271.9019,\ 28224.5044,\ 29066.5808,\ 30858.6766,\ 31674.4239,\ 31698.357,\ 28172.9433,\ 30047.6036,\ 30546.5998,\ 28230.3003,\ 30516.0469,\ 28287.7128,\ 28337.1166,\ 28379.6125,\ 28152.3537,\ 29563.1834,\ 30631.1286,\ 30971.8104,\ 31011.1537,\ 28162.4495,\ 30514.3664,\ 31225.5532,\ 31304.4051,\ 31284.0526,\ 28175.3683,\ 31023.2264,\ 31328.797,\ 31338.556,\ 31327.6245,\ 28187.757,\ 31236.4815,\ 31340.5917,\ 31341.227,\ 31337.0421,\ 28199.1665,\ 31311.8073,\ 31341.3749,\ 31341.3972,\ 31339.6165,\ 28173.0187,\ 29024.9225,\ 30301.9401,\ 30904.0993,\ 31023.7329,\ 28175.422,\ 30099.0562,\ 31445.4841,\ 31720.0422,\ 31679.9715,\ 28179.6137,\ 30945.7855,\ 31813.9586,\ 31885.2473,\ 31840.4409,\ 28183.8362,\ 31455.4301,\ 31900.3638,\ 31911.9983,\ 31887.1341,\ 28187.8495,\ 31720.1522,\ 31914.3042,\ 31915.5208,\ 31902.8349,\ 28197.9871,\ 28667.5,\ 29805.0306,\ 30551.425,\ 30760.4371,\ 28198.244,\ 29563.6109,\ 31311.9316,\ 31860.9474,\ 31828.2483,\ 28199.9317,\ 30540.6257,\ 32052.8298,\ 32284.6662,\ 32187.6813,\ 28201.704,\ 31299.968,\ 32329.3208,\ 32397.8283,\ 32320.4017,\ 28203.4333,\ 31807.1276,\ 32408.6294,\ 32423.0013,\ 32373.9149,\ 28224.5044,\ 28478.0502,\ 29335.0051,\ 30081.9378,\ 30353.4298,\ 28224.5044,\ 29105.1232,\ 30924.2998,\ 31728.1841,\ 31740.6588,\ 28224.5044,\ 30009.5727,\ 32002.0128,\ 32478.3487,\ 32339.7457,\ 28224.9223,\ 30878.8672,\ 32553.333,\ 32762.1842,\ 32606.437,\ 28225.7709,\ 31576.5739,\ 32784.4179,\ 32854.6639,\ 32731.5154,\ 28223.5484,\ 30486.2578,\ 28326.9444,\ 28404.8948,\ 28464.8324,\ 28512.1212999999,\ 28161.055,\ 30432.7338,\ 31197.7806,\ 31293.3292,\ 31273.1912,\ 28185.1224,\ 31205.9704,\ 31339.8571,\ 31341.0747,\ 31335.9215,\ 28206.2288,\ 31329.9461,\ 31341.4053,\ 31341.4067,\ 31340.2883,\ 28223.5947,\ 31340.896,\ 31341.4085,\ 31341.4085,\ 31340.9451,\ 28237.7116,\ 31341.3956,\ 31341.4085,\ 31341.4085,\ 31341.1031,\ 28174.9906,\ 29986.2167,\ 31370.0186,\ 31679.2674,\ 31645.7098,\ 28182.9254,\ 31368.7792,\ 31891.6865,\ 31909.6817,\ 31880.9114,\ 28190.3806,\ 31812.5752,\ 31915.6792,\ 31915.8882,\ 31907.4667,\ 28196.7205,\ 31903.2112,\ 31916.0056,\ 31916.0047,\ 31912.4491,\ 28201.9574,\ 31914.9581,\ 31916.0075,\ 31916.0074,\ 31913.8233,\ 28198.0797,\ 29452.389,\ 31187.6626,\ 31775.9303,\ 31760.7648,\ 28201.3173,\ 31156.3781,\ 32292.7089,\ 32384.8987,\ 32300.9207,\ 28204.5431,\ 32030.6971,\ 32422.9346,\ 32427.1343,\ 32391.6733,\ 28207.3789,\ 32336.1143,\ 32429.0338,\ 32429.0794,\ 32412.7896,\ 28209.7751,\ 32413.103,\ 32429.1769,\ 32429.1728,\ 32419.3613,\ 28224.5044,\ 29016.2218,\ 30769.1775,\ 31599.491,\ 31639.2609,\ 28224.735,\ 30701.0931,\ 32467.2541,\ 32723.1503,\ 32564.3492,\ 28226.3242,\ 31936.4209,\ 32846.7826,\ 32876.0111,\ 32777.6172,\ 28227.7665,\ 32554.8621,\ 32888.5948,\ 32889.9192,\ 32838.1083,\ 28229.0149,\ 32796.0289,\ 32891.1106,\ 32891.0893,\ 32859.2628,\ 28291.0253,\ 28420.6559,\ 28506.0973,\ 28565.9292,\ 28609.6765,\ 28176.1658,\ 31043.233,\ 31330.6157,\ 31338.9984,\ 31328.6822,\ 28210.7198,\ 31335.6412,\ 31341.4079,\ 31341.408,\ 31340.5498,\ 28235.9012,\ 31341.3862,\ 31341.4085,\ 31341.4085,\ 31341.0914,\ 28253.9166,\ 31341.4085,\ 31341.4085,\ 31341.4085,\ 31341.1347,\ 28266.949,\ 31341.4085,\ 31341.4085,\ 31341.4085,\ 31341.056,\ 28179.8805,\ 30986.8722,\ 31824.2735,\ 31888.8045,\ 31845.2212,\ 28192.0057,\ 31850.7807,\ 31915.9054,\ 31915.9605,\ 31909.377,\ 28201.2827,\ 31914.4827,\ 31916.0075,\ 31916.0074,\ 31913.7108,\ 28208.0181,\ 31915.9934,\ 31916.0075,\ 31916.0075,\ 31914.3346,\ 28212.897,\ 31916.0075,\ 31916.0075,\ 31916.0075,\ 31914.2146,\ 28200.0421,\ 30595.6458,\ 32080.2409,\ 32297.2535,\ 32200.2056,\ 28205.2628,\ 32140.136,\ 32426.5162,\ 32428.2044,\ 32399.446,\ 28209.4639,\ 32408.2451,\ 32429.175,\ 32429.1699,\ 32418.7915,\ 28212.6012,\ 32428.4352,\ 32429.1791,\ 32429.1789,\ 32422.3361,\ 28214.915,\ 32429.1635,\ 32429.1791,\ 32429.1791,\ 32422.7253,\ 28224.5044,\ 30067.2307,\ 32049.881,\ 32505.9218,\ 32363.2108,\ 28226.6865,\ 32133.0975,\ 32867.6465,\ 32882.834,\ 32798.9676,\ 28228.8513,\ 32776.0359,\ 32891.0468,\ 32891.042,\ 32857.342,\ 28230.521,\ 32881.1727,\ 32891.2182,\ 32891.2123,\ 32870.0506,\ 28231.7822,\ 32890.6503,\ 32891.2188,\ 32891.2184,\ 32872.9128,\ 35445.743,\ 35631.4695,\ 35790.4668,\ 35919.0926,\ 36013.5131,\ 35675.1101,\ 36008.8747,\ 36255.1667,\ 36425.5346,\ 36527.3543,\ 35762.7132,\ 36231.6093,\ 36526.5281,\ 36698.4626,\ 36781.1906,\ 35781.1662,\ 36383.2836,\ 36700.6019,\ 36851.6519,\ 36908.139,\ 35755.8877,\ 36494.8393,\ 36815.1972,\ 36934.5654,\ 36967.6172,\ 34885.2452,\ 34986.6913,\ 35095.8103,\ 35200.7005,\ 35289.2391,\ 35006.9081,\ 35272.1626,\ 35535.4669,\ 35758.8835,\ 35917.1215,\ 35048.9838,\ 35489.804,\ 35891.6555,\ 36195.1983,\ 36379.8853,\ 35040.0659,\ 35661.8614,\ 36181.9151,\ 36532.9874,\ 36718.4554,\ 34999.788,\ 35804.0916,\ 36422.2649,\ 36796.0352,\ 36968.1296,\ 34785.8035,\ 34824.1929,\ 34870.8626,\ 34921.0849,\ 34968.1116,\ 34838.1763999999,\ 34962.7008,\ 35116.156,\ 35270.8632,\ 35397.1844,\ 34858.5219,\ 35086.8553,\ 35367.7125,\ 35629.9428,\ 35818.3198,\ 34855.5399,\ 35194.1657,\ 35608.0234,\ 35964.7,\ 36191.9158,\ 34839.0711,\ 35288.4927,\ 35833.792,\ 36267.2392,\ 36513.6757,\ 34776.0694,\ 34791.428,\ 34811.0587,\ 34833.399,\ 34855.6177,\ 34801.0476,\ 34857.5425,\ 34935.1324,\ 35022.3555,\ 35101.3129,\ 34812.787,\ 34922.9379,\ 35082.5465,\ 35255.8748,\ 35397.8759,\ 34813.4691,\ 34982.3784,\ 35238.8764,\ 35505.1611,\ 35702.7695,\ 34807.3701,\ 35036.095,\ 35398.7526,\ 35756.4791,\ 35997.3972,\ 34789.4777,\ 34796.1936,\ 34804.9272,\ 34815.1242,\ 34825.6106,\ 34802.4546,\ 34829.2853,\ 34867.9603,\ 34914.2127,\ 34959.0648,\ 34809.681,\ 34864.3939,\ 34950.219,\ 35052.7942,\ 35145.3693,\ 34811.3375,\ 34897.5007,\ 35043.5598,\ 35215.6943,\ 35359.5777,\ 34809.2393,\ 34927.9251,\ 35144.4065,\ 35393.6991,\ 35586.3016,\ 35680.173,\ 36599.7512,\ 36904.5308,\ 35071.3231,\ 36872.8461,\ 34979.7749,\ 35032.5668,\ 35093.7316,\ 34928.5983,\ 35954.6655,\ 36669.1427,\ 37045.6596,\ 37191.8359,\ 34735.6099,\ 36514.2457,\ 37366.4996,\ 37585.6948,\ 34728.4653,\ 36936.0066,\ 37612.7187,\ 34738.811,\ 37248.2032,\ 34751.6711,\ 37457.0294,\ 34811.4771,\ 35394.2632,\ 36095.4981,\ 36599.5872,\ 36849.5745,\ 34739.46,\ 35870.0482,\ 37105.9784,\ 37654.5123,\ 37794.4,\ 34734.0032,\ 36364.2833,\ 37720.3733,\ 38099.2397,\ 38141.4924,\ 34736.1104,\ 36843.3741,\ 38062.2558,\ 38278.3399,\ 38279.2695,\ 34739.5337,\ 37259.4253,\ 38238.6651,\ 34795.7742,\ 35097.5245,\ 35600.1316,\ 36062.6845,\ 36339.5622,\ 34760.1658,\ 35397.9258,\ 36570.2504,\ 37313.6043,\ 37568.128,\ 34755.8788,\ 35782.2293,\ 37380.8169,\ 38085.4892,\ 38215.7327,\ 34756.1964,\ 36238.4141,\ 37979.81,\ 38520.373,\ 38556.6939,\ 34757.3418,\ 36710.3082,\ 38386.2325,\ 38754.6403,\ 38741.2376,\ 34804.0251,\ 34962.8933,\ 35278.5606,\ 35628.4006,\ 35873.1459,\ 34784.0979,\ 35135.5447,\ 36038.926,\ 36801.1589,\ 37128.5179,\ 34781.0755,\ 35381.4962,\ 36842.5812,\ 37747.8745,\ 37981.8933,\ 34781.0755,\ 35721.9071,\ 37567.9373,\ 38414.9109,\ 38526.9938,\ 34781.0755,\ 36128.7743,\ 38158.1121,\ 38855.022,\ 38873.0567,\ 34978.9321,\ 36942.1826,\ 35100.7734,\ 35230.8515,\ 35330.7285,\ 35410.6658,\ 34726.9872,\ 36763.8302,\ 37536.1796,\ 34753.253,\ 37476.0201,\ 34786.5817,\ 34817.4936,\ 34845.3751,\ 34734.455,\ 36144.9585,\ 37490.7126,\ 37951.2095,\ 38028.3654,\ 34739.9751,\ 37303.9672,\ 38252.6629,\ 34749.7808,\ 37977.8836,\ 34759.4562,\ 38258.2735,\ 34768.5213,\ 34756.5906,\ 35601.2998,\ 37049.3763,\ 37796.8581,\ 37981.5447,\ 34757.5001,\ 36765.7213,\ 38424.1185,\ 38773.9856,\ 38756.9374,\ 34761.2051,\ 37781.1047,\ 38871.0205,\ 38966.182,\ 38930.5367,\ 34765.0293,\ 38414.1445,\ 38980.6324,\ 38999.4053,\ 38978.1309,\ 34768.7098,\ 38744.3159,\ 39001.7061,\ 39004.3799,\ 38993.4985,\ 34781.3904,\ 35261.1277,\ 36492.7701,\ 37366.9179,\ 37651.8214,\ 34780.9941,\ 36180.2053,\ 38219.1566,\ 38895.7607,\ 38905.1047,\ 34782.6224,\ 37276.2156,\ 39092.115,\ 39383.4361,\ 39307.1361,\ 34784.3831,\ 38169.3313,\ 39421.8193,\ 39515.4723,\ 39448.3771,\ 34786.1179,\ 38776.6215,\ 39523.6494,\ 39547.1272,\ 39503.34,\ 35084.2043,\ 35310.8575,\ 35456.2828,\ 35560.0346,\ 35638.6406,\ 34749.5677,\ 37429.829,\ 34810.9862,\ 34862.434,\ 34903.9896,\ 34937.5744,\ 34738.952,\ 37198.1688,\ 38218.0665,\ 34757.3828,\ 38218.7232,\ 34774.1906,\ 34788.2715,\ 34799.8223,\ 34757.1358,\ 36635.7794,\ 38332.378,\ 38726.4109,\ 38718.5349,\ 34764.1998,\ 38306.102,\ 38968.7985,\ 38996.3315,\ 38971.9182,\ 34771.0502,\ 38860.6072,\ 39004.3582,\ 39004.9644,\ 38997.8911,\ 34776.9684,\ 38982.169,\ 39005.1648,\ 39005.1681,\ 39002.4527,\ 34781.912,\ 39002.4254,\ 39005.1737,\ 39005.1736,\ 39003.66,\ 34781.0755,\ 36060.7945,\ 38073.4481,\ 38797.0422,\ 38827.6617,\ 34783.9973,\ 37998.5269,\ 39377.2684,\ 39499.9164,\ 39428.0819,\ 34787.2385,\ 39045.9159,\ 39544.7157,\ 39552.8092,\ 39521.1511,\ 34790.1256,\ 39421.2905,\ 39555.5017,\ 39555.7259,\ 39541.8098,\ 34792.5898,\ 39526.8878,\ 39555.8898,\ 39555.8875,\ 39548.041,\ 35237.8445,\ 35484.1155,\ 35628.7503,\ 35725.7726,\ 35795.5427,\ 34788.5976,\ 34873.226,\ 34933.2682,\ 34976.2245,\ 35007.6279,\ 34750.3973,\ 38004.4893,\ 34777.8143,\ 34798.337,\ 34813.1478,\ 34823.8785,\ 34761.445,\ 37831.8038,\ 38883.6685,\ 38970.4465,\ 38935.4953,\ 34772.56,\ 38909.783,\ 39004.8818,\ 39005.0876,\ 38999.6674,\ 34781.2728,\ 39001.4053,\ 39005.1737,\ 39005.1735,\ 39003.5614,\ 34787.6867,\ 39005.1006,\ 39005.1738,\ 39005.1738,\ 39004.1401,\ 34792.3758,\ 39005.173,\ 39005.1738,\ 39005.1738,\ 39004.1563,\ 34782.7313,\ 37339.9566,\ 39124.4763,\ 39397.9092,\ 39320.6821,\ 34787.9681,\ 39178.4793,\ 39550.6476,\ 39554.368,\ 39528.8404,\ 34792.2686,\ 39519.4568,\ 39555.8828,\ 39555.8823,\ 39547.5047,\ 34795.5242,\ 39553.8111,\ 39555.8996,\ 39555.8992,\ 39550.8922,\ 34797.9502,\ 39555.8215,\ 39555.8996,\ 39555.8996,\ 39551.5096] bob = ResponseSurface() bob.train(X,Y) print "Coefficients: ", bob.betas # new_y = bob.predict([1., 5.]) new_y = bob.predict([3125.,7.0,2.1, 2.5, 7.0]) print "Predicted: ", new_y print "Elapsed time: ", time.time()-tt, "seconds"
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