Air contamination forecast for Madrid

7. Model deployment

The neural network is now ready to predict the activity of new people in the so-called model deployment phase.

The file madrid-air-forecasting.py implements the mathematical expression of the neural network in Python. This piece of software can be embedded in any tool to make predictions on new data.

Besides, we can use the mathematical expression of the neural network, which is listed next.

scaled_PRECIPITATIONS(mm)_lag_1 = (PRECIPITATIONS(mm)_lag_1-1.091740012)/3.984080076;
scaled_TAVG(C)_lag_1 = (TAVG(C)_lag_1-15.37049961)/8.109100342;
scaled_TMAX(C)_lag_1 = (TMAX(C)_lag_1-22.01239967)/8.915679932;
scaled_TMIN(C)_lag_1 = (TMIN(C)_lag_1-8.648309708)/6.886229992;
scaled_PRESSURE(hPa)_lag_1 = (PRESSURE(hPa)_lag_1-1017.619995)/7.228189945;
scaled_WINDSPEED(km/h)_lag_1 = (WINDSPEED(km/h)_lag_1-10.53849983)/5.421120167;
scaled_HUMIDITY(percentage)_lag_1 = (HUMIDITY(percentage)_lag_1-58.40459824)/19.56760025;
scaled_DAY_lag_0 = (DAY_lag_0-15.70590019)/8.798629761;
scaled_MONTH_lag_0 = (MONTH_lag_0-6.370520115)/3.47461009;
scaled_WEEKDAY_lag_0 = (WEEKDAY_lag_0-3.991130114)/1.996219993;
scaled_PM2.5(AQI)_lag_0 = (PM2.5(AQI)_lag_0-54.69229889)/19.66959953;
scaled_PM10(AQI)_lag_0 = (PM10(AQI)_lag_0-24.6970005)/12.00650024;
scaled_O3(AQI)_lag_0 = (O3(AQI)_lag_0-32.8608017)/14.49969959;
scaled_NO2(AQI)_lag_0 = (NO2(AQI)_lag_0-24.10029984)/10.27149963;
scaled_SO2(AQI)_lag_0 = (SO2(AQI)_lag_0-3.101670027)/2.045360088;
scaled_PRECIPITATIONS(mm)_lag_0 = (PRECIPITATIONS(mm)_lag_0-1.089869976)/3.983299971;
scaled_TAVG(C)_lag_0 = (TAVG(C)_lag_0-15.37279987)/8.108019829;
scaled_TMAX(C)_lag_0 = (TMAX(C)_lag_0-22.01580048)/8.912940025;
scaled_TMIN(C)_lag_0 = (TMIN(C)_lag_0-8.649029732)/6.88616991;
scaled_PRESSURE(hPa)_lag_0 = (PRESSURE(hPa)_lag_0-1017.609985)/7.228730202;
scaled_WINDSPEED(km/h)_lag_0 = (WINDSPEED(km/h)_lag_0-10.54090023)/5.422639847;
scaled_HUMIDITY(percentage)_lag_0 = (HUMIDITY(percentage)_lag_0-58.39049911)/19.55699921;

perceptron_layer_1_output_0 = tanh( -7.81672e-07 + (scaled_PRECIPITATIONS(mm)_lag_1*-5.1068e-05) + (scaled_TAVG(C)_lag_1*-8.19004e-05) + (scaled_TMAX(C)_lag_1*6.85665e-05) + (scaled_TMIN(C)_lag_1*-0.000105821) + (scaled_PRESSURE(hPa)_lag_1*2.53781e-05) + (scaled_WINDSPEED(km/h)_lag_1*0.000128805) + (scaled_HUMIDITY(percentage)_lag_1*0.000108651) + (scaled_DAY_lag_0*3.11461e-05) + (scaled_MONTH_lag_0*7.65274e-05) + (scaled_WEEKDAY_lag_0*0.000261137) + (scaled_PM2.5(AQI)_lag_0*-8.43789e-06) + (scaled_PM10(AQI)_lag_0*-2.4731e-05) + (scaled_O3(AQI)_lag_0*4.1529e-07) + (scaled_NO2(AQI)_lag_0*-3.07216e-05) + (scaled_SO2(AQI)_lag_0*0.504349) + (scaled_PRECIPITATIONS(mm)_lag_0*5.77838e-05) + (scaled_TAVG(C)_lag_0*-5.5772e-05) + (scaled_TMAX(C)_lag_0*-8.92538e-05) + (scaled_TMIN(C)_lag_0*0.000482141) + (scaled_PRESSURE(hPa)_lag_0*7.62514e-05) + (scaled_WINDSPEED(km/h)_lag_0*3.44847e-05) + (scaled_HUMIDITY(percentage)_lag_0*-6.46703e-05) );
perceptron_layer_1_output_1 = tanh( -0.0245757 + (scaled_PRECIPITATIONS(mm)_lag_1*-2.81286e-05) + (scaled_TAVG(C)_lag_1*3.45359e-05) + (scaled_TMAX(C)_lag_1*-0.000245359) + (scaled_TMIN(C)_lag_1*-0.000620736) + (scaled_PRESSURE(hPa)_lag_1*0.00743974) + (scaled_WINDSPEED(km/h)_lag_1*0.0067267) + (scaled_HUMIDITY(percentage)_lag_1*-0.000113467) + (scaled_DAY_lag_0*-7.56794e-05) + (scaled_MONTH_lag_0*1.7313e-05) + (scaled_WEEKDAY_lag_0*-0.000678773) + (scaled_PM2.5(AQI)_lag_0*-3.75441e-05) + (scaled_PM10(AQI)_lag_0*-0.00145189) + (scaled_O3(AQI)_lag_0*-6.16092e-05) + (scaled_NO2(AQI)_lag_0*0.0581054) + (scaled_SO2(AQI)_lag_0*0.634665) + (scaled_PRECIPITATIONS(mm)_lag_0*0.000655515) + (scaled_TAVG(C)_lag_0*4.65228e-06) + (scaled_TMAX(C)_lag_0*-0.0339807) + (scaled_TMIN(C)_lag_0*0.000101102) + (scaled_PRESSURE(hPa)_lag_0*0.0574812) + (scaled_WINDSPEED(km/h)_lag_0*0.0452492) + (scaled_HUMIDITY(percentage)_lag_0*0.000112177) );
perceptron_layer_1_output_2 = tanh( 4.73652e-05 + (scaled_PRECIPITATIONS(mm)_lag_1*-2.54399e-05) + (scaled_TAVG(C)_lag_1*-0.445912) + (scaled_TMAX(C)_lag_1*-0.000953647) + (scaled_TMIN(C)_lag_1*-0.243009) + (scaled_PRESSURE(hPa)_lag_1*0.000360695) + (scaled_WINDSPEED(km/h)_lag_1*-5.85611e-05) + (scaled_HUMIDITY(percentage)_lag_1*0.000163799) + (scaled_DAY_lag_0*-8.38313e-05) + (scaled_MONTH_lag_0*-0.140473) + (scaled_WEEKDAY_lag_0*8.02343e-06) + (scaled_PM2.5(AQI)_lag_0*-8.36781e-06) + (scaled_PM10(AQI)_lag_0*8.52817e-05) + (scaled_O3(AQI)_lag_0*-9.44177e-05) + (scaled_NO2(AQI)_lag_0*1.09307e-05) + (scaled_SO2(AQI)_lag_0*0.000127797) + (scaled_PRECIPITATIONS(mm)_lag_0*0.000105503) + (scaled_TAVG(C)_lag_0*-0.000276237) + (scaled_TMAX(C)_lag_0*-0.0624502) + (scaled_TMIN(C)_lag_0*-0.0812166) + (scaled_PRESSURE(hPa)_lag_0*-7.73504e-05) + (scaled_WINDSPEED(km/h)_lag_0*0.000108611) + (scaled_HUMIDITY(percentage)_lag_0*0.000197993) );
perceptron_layer_1_output_3 = tanh( 1.43261e-05 + (scaled_PRECIPITATIONS(mm)_lag_1*-6.74796e-06) + (scaled_TAVG(C)_lag_1*0.00498189) + (scaled_TMAX(C)_lag_1*0.00351506) + (scaled_TMIN(C)_lag_1*0.00250454) + (scaled_PRESSURE(hPa)_lag_1*2.35997e-05) + (scaled_WINDSPEED(km/h)_lag_1*0.000163005) + (scaled_HUMIDITY(percentage)_lag_1*-0.00111114) + (scaled_DAY_lag_0*8.58258e-05) + (scaled_MONTH_lag_0*3.04926e-06) + (scaled_WEEKDAY_lag_0*2.29893e-05) + (scaled_PM2.5(AQI)_lag_0*-0.000255982) + (scaled_PM10(AQI)_lag_0*-4.95592e-05) + (scaled_O3(AQI)_lag_0*0.695519) + (scaled_NO2(AQI)_lag_0*-7.24479e-05) + (scaled_SO2(AQI)_lag_0*-4.07316e-05) + (scaled_PRECIPITATIONS(mm)_lag_0*0.000245261) + (scaled_TAVG(C)_lag_0*0.0016223) + (scaled_TMAX(C)_lag_0*0.136874) + (scaled_TMIN(C)_lag_0*0.00122895) + (scaled_PRESSURE(hPa)_lag_0*6.45547e-05) + (scaled_WINDSPEED(km/h)_lag_0*0.000109245) + (scaled_HUMIDITY(percentage)_lag_0*-0.0139903) );
perceptron_layer_1_output_4 = tanh( -0.000339497 + (scaled_PRECIPITATIONS(mm)_lag_1*-0.000127403) + (scaled_TAVG(C)_lag_1*-0.012499) + (scaled_TMAX(C)_lag_1*-0.00531632) + (scaled_TMIN(C)_lag_1*-0.0278514) + (scaled_PRESSURE(hPa)_lag_1*0.000987953) + (scaled_WINDSPEED(km/h)_lag_1*-8.8954e-05) + (scaled_HUMIDITY(percentage)_lag_1*0.0578135) + (scaled_DAY_lag_0*9.83378e-06) + (scaled_MONTH_lag_0*0.000184528) + (scaled_WEEKDAY_lag_0*9.61819e-05) + (scaled_PM2.5(AQI)_lag_0*-2.39028e-05) + (scaled_PM10(AQI)_lag_0*-6.65766e-05) + (scaled_O3(AQI)_lag_0*-0.476291) + (scaled_NO2(AQI)_lag_0*9.25723e-05) + (scaled_SO2(AQI)_lag_0*5.46071e-05) + (scaled_PRECIPITATIONS(mm)_lag_0*-0.000253871) + (scaled_TAVG(C)_lag_0*-0.01695) + (scaled_TMAX(C)_lag_0*-0.175283) + (scaled_TMIN(C)_lag_0*-0.000373679) + (scaled_PRESSURE(hPa)_lag_0*0.000252323) + (scaled_WINDSPEED(km/h)_lag_0*-0.000100844) + (scaled_HUMIDITY(percentage)_lag_0*0.0666698) );
perceptron_layer_1_output_5 = tanh( -2.0101e-05 + (scaled_PRECIPITATIONS(mm)_lag_1*-4.66055e-06) + (scaled_TAVG(C)_lag_1*0.000314665) + (scaled_TMAX(C)_lag_1*9.88436e-05) + (scaled_TMIN(C)_lag_1*0.000357146) + (scaled_PRESSURE(hPa)_lag_1*-0.00039053) + (scaled_WINDSPEED(km/h)_lag_1*-4.94624e-05) + (scaled_HUMIDITY(percentage)_lag_1*6.14653e-06) + (scaled_DAY_lag_0*-1.51509e-05) + (scaled_MONTH_lag_0*6.76326e-05) + (scaled_WEEKDAY_lag_0*6.01453e-06) + (scaled_PM2.5(AQI)_lag_0*-0.000252826) + (scaled_PM10(AQI)_lag_0*-2.79894e-06) + (scaled_O3(AQI)_lag_0*1.36108e-05) + (scaled_NO2(AQI)_lag_0*-0.00016473) + (scaled_SO2(AQI)_lag_0*-0.23789) + (scaled_PRECIPITATIONS(mm)_lag_0*1.89202e-05) + (scaled_TAVG(C)_lag_0*0.152784) + (scaled_TMAX(C)_lag_0*0.0128358) + (scaled_TMIN(C)_lag_0*5.36459e-05) + (scaled_PRESSURE(hPa)_lag_0*4.02565e-05) + (scaled_WINDSPEED(km/h)_lag_0*4.34919e-05) + (scaled_HUMIDITY(percentage)_lag_0*0.00451162) );
perceptron_layer_1_output_6 = tanh( -0.030549 + (scaled_PRECIPITATIONS(mm)_lag_1*0.000202304) + (scaled_TAVG(C)_lag_1*0.000221993) + (scaled_TMAX(C)_lag_1*-0.000625084) + (scaled_TMIN(C)_lag_1*0.000532645) + (scaled_PRESSURE(hPa)_lag_1*5.57061e-06) + (scaled_WINDSPEED(km/h)_lag_1*6.595e-05) + (scaled_HUMIDITY(percentage)_lag_1*0.0027244) + (scaled_DAY_lag_0*0.000590548) + (scaled_MONTH_lag_0*0.170191) + (scaled_WEEKDAY_lag_0*0.0421223) + (scaled_PM2.5(AQI)_lag_0*0.0956457) + (scaled_PM10(AQI)_lag_0*0.690919) + (scaled_O3(AQI)_lag_0*0.138305) + (scaled_NO2(AQI)_lag_0*0.00242706) + (scaled_SO2(AQI)_lag_0*0.0646637) + (scaled_PRECIPITATIONS(mm)_lag_0*-0.0523376) + (scaled_TAVG(C)_lag_0*-0.000739689) + (scaled_TMAX(C)_lag_0*-0.00539014) + (scaled_TMIN(C)_lag_0*5.02929e-06) + (scaled_PRESSURE(hPa)_lag_0*0.144) + (scaled_WINDSPEED(km/h)_lag_0*0.049733) + (scaled_HUMIDITY(percentage)_lag_0*0.00400631) );
perceptron_layer_1_output_7 = tanh( -0.0649532 + (scaled_PRECIPITATIONS(mm)_lag_1*-0.0249491) + (scaled_TAVG(C)_lag_1*-0.000180414) + (scaled_TMAX(C)_lag_1*-0.000265918) + (scaled_TMIN(C)_lag_1*-1.63438e-05) + (scaled_PRESSURE(hPa)_lag_1*0.178126) + (scaled_WINDSPEED(km/h)_lag_1*-0.016143) + (scaled_HUMIDITY(percentage)_lag_1*0.137997) + (scaled_DAY_lag_0*-0.0684977) + (scaled_MONTH_lag_0*0.619193) + (scaled_WEEKDAY_lag_0*0.0343206) + (scaled_PM2.5(AQI)_lag_0*0.000692766) + (scaled_PM10(AQI)_lag_0*-0.000336186) + (scaled_O3(AQI)_lag_0*-0.02083) + (scaled_NO2(AQI)_lag_0*0.24744) + (scaled_SO2(AQI)_lag_0*-8.70714e-05) + (scaled_PRECIPITATIONS(mm)_lag_0*-0.0199021) + (scaled_TAVG(C)_lag_0*-0.112318) + (scaled_TMAX(C)_lag_0*-0.39647) + (scaled_TMIN(C)_lag_0*-0.0572767) + (scaled_PRESSURE(hPa)_lag_0*0.0529541) + (scaled_WINDSPEED(km/h)_lag_0*-6.51429e-05) + (scaled_HUMIDITY(percentage)_lag_0*0.130355) );
perceptron_layer_1_output_8 = tanh( -6.68113e-05 + (scaled_PRECIPITATIONS(mm)_lag_1*-0.000149986) + (scaled_TAVG(C)_lag_1*0.000142894) + (scaled_TMAX(C)_lag_1*-0.000571091) + (scaled_TMIN(C)_lag_1*-0.000147398) + (scaled_PRESSURE(hPa)_lag_1*0.0510151) + (scaled_WINDSPEED(km/h)_lag_1*7.25422e-05) + (scaled_HUMIDITY(percentage)_lag_1*0.059848) + (scaled_DAY_lag_0*-0.0295105) + (scaled_MONTH_lag_0*0.162819) + (scaled_WEEKDAY_lag_0*4.74193e-05) + (scaled_PM2.5(AQI)_lag_0*0.000145023) + (scaled_PM10(AQI)_lag_0*-0.0569127) + (scaled_O3(AQI)_lag_0*0.000235277) + (scaled_NO2(AQI)_lag_0*-0.380642) + (scaled_SO2(AQI)_lag_0*0.668855) + (scaled_PRECIPITATIONS(mm)_lag_0*2.02137e-07) + (scaled_TAVG(C)_lag_0*9.65273e-05) + (scaled_TMAX(C)_lag_0*-0.0259473) + (scaled_TMIN(C)_lag_0*6.93011e-05) + (scaled_PRESSURE(hPa)_lag_0*-0.000106907) + (scaled_WINDSPEED(km/h)_lag_0*0.0022201) + (scaled_HUMIDITY(percentage)_lag_0*0.0643652) );
perceptron_layer_1_output_9 = tanh( -7.86793e-05 + (scaled_PRECIPITATIONS(mm)_lag_1*0.000152966) + (scaled_TAVG(C)_lag_1*-7.11746e-05) + (scaled_TMAX(C)_lag_1*-2.74158e-05) + (scaled_TMIN(C)_lag_1*-2.32577e-05) + (scaled_PRESSURE(hPa)_lag_1*2.9876e-05) + (scaled_WINDSPEED(km/h)_lag_1*-3.99519e-05) + (scaled_HUMIDITY(percentage)_lag_1*0.000202682) + (scaled_DAY_lag_0*-3.67383e-06) + (scaled_MONTH_lag_0*5.92813e-05) + (scaled_WEEKDAY_lag_0*-4.31914e-05) + (scaled_PM2.5(AQI)_lag_0*6.19982e-05) + (scaled_PM10(AQI)_lag_0*-3.20118e-05) + (scaled_O3(AQI)_lag_0*-1.25627e-06) + (scaled_NO2(AQI)_lag_0*6.23244e-05) + (scaled_SO2(AQI)_lag_0*-4.38673e-06) + (scaled_PRECIPITATIONS(mm)_lag_0*-0.000145078) + (scaled_TAVG(C)_lag_0*-1.47928e-05) + (scaled_TMAX(C)_lag_0*2.93817e-05) + (scaled_TMIN(C)_lag_0*-0.000177187) + (scaled_PRESSURE(hPa)_lag_0*-8.16072e-05) + (scaled_WINDSPEED(km/h)_lag_0*-1.46762e-05) + (scaled_HUMIDITY(percentage)_lag_0*-0.000474795) );

perceptron_layer_2_output_0 = ( -3.46359e-05 + (perceptron_layer_1_output_0*3.20489e-05) + (perceptron_layer_1_output_1*2.71725e-05) + (perceptron_layer_1_output_2*0.0345011) + (perceptron_layer_1_output_3*-0.251555) + (perceptron_layer_1_output_4*0.0151238) + (perceptron_layer_1_output_5*-3.77405e-05) + (perceptron_layer_1_output_6*1.33553) + (perceptron_layer_1_output_7*-3.14557e-05) + (perceptron_layer_1_output_8*0.000128907) + (perceptron_layer_1_output_9*-7.78877e-05) );
perceptron_layer_2_output_1 = ( 5.23802e-05 + (perceptron_layer_1_output_0*-0.000155758) + (perceptron_layer_1_output_1*0.000277113) + (perceptron_layer_1_output_2*5.22625e-05) + (perceptron_layer_1_output_3*0.000118586) + (perceptron_layer_1_output_4*-0.000205926) + (perceptron_layer_1_output_5*0.000188549) + (perceptron_layer_1_output_6*1.11221) + (perceptron_layer_1_output_7*-8.13394e-07) + (perceptron_layer_1_output_8*-8.16147e-05) + (perceptron_layer_1_output_9*0.000185861) );
perceptron_layer_2_output_2 = ( 0.000121286 + (perceptron_layer_1_output_0*-0.00110745) + (perceptron_layer_1_output_1*-0.0142645) + (perceptron_layer_1_output_2*-0.000537531) + (perceptron_layer_1_output_3*0.702565) + (perceptron_layer_1_output_4*-0.428656) + (perceptron_layer_1_output_5*0.000724993) + (perceptron_layer_1_output_6*-0.00298029) + (perceptron_layer_1_output_7*-0.244109) + (perceptron_layer_1_output_8*-0.000308922) + (perceptron_layer_1_output_9*0.000104683) );
perceptron_layer_2_output_3 = ( 0.258724 + (perceptron_layer_1_output_0*0.000284902) + (perceptron_layer_1_output_1*0.371748) + (perceptron_layer_1_output_2*0.000211852) + (perceptron_layer_1_output_3*-0.000216279) + (perceptron_layer_1_output_4*-0.000175684) + (perceptron_layer_1_output_5*-0.000434493) + (perceptron_layer_1_output_6*0.273574) + (perceptron_layer_1_output_7*0.543078) + (perceptron_layer_1_output_8*-0.169492) + (perceptron_layer_1_output_9*4.22357e-05) );
perceptron_layer_2_output_4 = ( 0.0919128 + (perceptron_layer_1_output_0*0.469546) + (perceptron_layer_1_output_1*0.984214) + (perceptron_layer_1_output_2*-0.000184898) + (perceptron_layer_1_output_3*-0.000238387) + (perceptron_layer_1_output_4*-0.00012874) + (perceptron_layer_1_output_5*-0.000158721) + (perceptron_layer_1_output_6*2.48945e-05) + (perceptron_layer_1_output_7*-8.57095e-05) + (perceptron_layer_1_output_8*0.295862) + (perceptron_layer_1_output_9*-5.80002e-05) );
perceptron_layer_2_output_5 = ( 5.03353e-05 + (perceptron_layer_1_output_0*0.000123188) + (perceptron_layer_1_output_1*0.0225777) + (perceptron_layer_1_output_2*1.06771e-05) + (perceptron_layer_1_output_3*-0.0837096) + (perceptron_layer_1_output_4*0.0208545) + (perceptron_layer_1_output_5*-0.0001248) + (perceptron_layer_1_output_6*0.980715) + (perceptron_layer_1_output_7*0.0838683) + (perceptron_layer_1_output_8*1.51713e-05) + (perceptron_layer_1_output_9*-0.00012069) );
perceptron_layer_2_output_6 = ( 1.22211e-05 + (perceptron_layer_1_output_0*4.35655e-05) + (perceptron_layer_1_output_1*0.00011792) + (perceptron_layer_1_output_2*-0.0681524) + (perceptron_layer_1_output_3*0.000169379) + (perceptron_layer_1_output_4*-2.33402e-05) + (perceptron_layer_1_output_5*-4.39116e-05) + (perceptron_layer_1_output_6*0.785699) + (perceptron_layer_1_output_7*6.34841e-05) + (perceptron_layer_1_output_8*2.39807e-05) + (perceptron_layer_1_output_9*0.000148962) );
perceptron_layer_2_output_7 = ( -1.36461e-05 + (perceptron_layer_1_output_0*-0.000213955) + (perceptron_layer_1_output_1*0.000103782) + (perceptron_layer_1_output_2*-0.11544) + (perceptron_layer_1_output_3*0.453558) + (perceptron_layer_1_output_4*-0.350025) + (perceptron_layer_1_output_5*0.000534493) + (perceptron_layer_1_output_6*-2.49493e-06) + (perceptron_layer_1_output_7*-0.419745) + (perceptron_layer_1_output_8*-0.000445672) + (perceptron_layer_1_output_9*9.08143e-05) );
perceptron_layer_2_output_8 = ( 0.263866 + (perceptron_layer_1_output_0*0.000816121) + (perceptron_layer_1_output_1*0.100419) + (perceptron_layer_1_output_2*-8.32819e-06) + (perceptron_layer_1_output_3*1.32432e-05) + (perceptron_layer_1_output_4*0.000106625) + (perceptron_layer_1_output_5*0.000223114) + (perceptron_layer_1_output_6*0.083279) + (perceptron_layer_1_output_7*0.51738) + (perceptron_layer_1_output_8*8.86281e-05) + (perceptron_layer_1_output_9*-1.71811e-05) );
perceptron_layer_2_output_9 = ( 0.119269 + (perceptron_layer_1_output_0*0.323714) + (perceptron_layer_1_output_1*0.724935) + (perceptron_layer_1_output_2*0.000417641) + (perceptron_layer_1_output_3*-0.000444558) + (perceptron_layer_1_output_4*0.000126404) + (perceptron_layer_1_output_5*-0.0843885) + (perceptron_layer_1_output_6*-0.000104443) + (perceptron_layer_1_output_7*-4.90112e-05) + (perceptron_layer_1_output_8*0.512959) + (perceptron_layer_1_output_9*5.77323e-05) );
perceptron_layer_2_output_10 = ( 9.14365e-05 + (perceptron_layer_1_output_0*0.000203984) + (perceptron_layer_1_output_1*2.68203e-06) + (perceptron_layer_1_output_2*9.65371e-05) + (perceptron_layer_1_output_3*-1.223e-05) + (perceptron_layer_1_output_4*6.02164e-05) + (perceptron_layer_1_output_5*-0.000176063) + (perceptron_layer_1_output_6*0.67824) + (perceptron_layer_1_output_7*0.132631) + (perceptron_layer_1_output_8*0.000832239) + (perceptron_layer_1_output_9*3.21353e-05) );
perceptron_layer_2_output_11 = ( 9.16609e-05 + (perceptron_layer_1_output_0*-7.47347e-05) + (perceptron_layer_1_output_1*0.00017543) + (perceptron_layer_1_output_2*-0.131299) + (perceptron_layer_1_output_3*0.000350568) + (perceptron_layer_1_output_4*-0.00132689) + (perceptron_layer_1_output_5*5.22762e-05) + (perceptron_layer_1_output_6*0.611037) + (perceptron_layer_1_output_7*0.000227911) + (perceptron_layer_1_output_8*0.000428426) + (perceptron_layer_1_output_9*-6.4008e-05) );
perceptron_layer_2_output_12 = ( 0.0002459 + (perceptron_layer_1_output_0*-5.79903e-05) + (perceptron_layer_1_output_1*-9.24577e-05) + (perceptron_layer_1_output_2*-0.182998) + (perceptron_layer_1_output_3*0.328777) + (perceptron_layer_1_output_4*-0.273363) + (perceptron_layer_1_output_5*-0.00437846) + (perceptron_layer_1_output_6*-0.00018323) + (perceptron_layer_1_output_7*-0.522545) + (perceptron_layer_1_output_8*3.08215e-05) + (perceptron_layer_1_output_9*6.00599e-05) );
perceptron_layer_2_output_13 = ( 0.269524 + (perceptron_layer_1_output_0*0.00468415) + (perceptron_layer_1_output_1*0.0221275) + (perceptron_layer_1_output_2*-7.01404e-05) + (perceptron_layer_1_output_3*-6.96474e-05) + (perceptron_layer_1_output_4*1.90535e-06) + (perceptron_layer_1_output_5*9.23821e-05) + (perceptron_layer_1_output_6*0.000738936) + (perceptron_layer_1_output_7*0.52711) + (perceptron_layer_1_output_8*-0.000236266) + (perceptron_layer_1_output_9*-4.17387e-05) );
perceptron_layer_2_output_14 = ( 0.130413 + (perceptron_layer_1_output_0*0.286392) + (perceptron_layer_1_output_1*0.608042) + (perceptron_layer_1_output_2*0.000177002) + (perceptron_layer_1_output_3*-7.44335e-05) + (perceptron_layer_1_output_4*8.77717e-05) + (perceptron_layer_1_output_5*-0.12782) + (perceptron_layer_1_output_6*0.000108504) + (perceptron_layer_1_output_7*-1.25161e-05) + (perceptron_layer_1_output_8*0.588732) + (perceptron_layer_1_output_9*0.000105984) );
perceptron_layer_2_output_15 = ( 8.96784e-05 + (perceptron_layer_1_output_0*2.5252e-05) + (perceptron_layer_1_output_1*3.57428e-05) + (perceptron_layer_1_output_2*3.31915e-05) + (perceptron_layer_1_output_3*-6.84871e-06) + (perceptron_layer_1_output_4*-1.32239e-05) + (perceptron_layer_1_output_5*-1.12183e-05) + (perceptron_layer_1_output_6*0.511053) + (perceptron_layer_1_output_7*0.120095) + (perceptron_layer_1_output_8*0.00486513) + (perceptron_layer_1_output_9*0.00012165) );
perceptron_layer_2_output_16 = ( 0.000129306 + (perceptron_layer_1_output_0*-2.33643e-05) + (perceptron_layer_1_output_1*0.000132205) + (perceptron_layer_1_output_2*-0.158468) + (perceptron_layer_1_output_3*-0.000254302) + (perceptron_layer_1_output_4*-0.000605249) + (perceptron_layer_1_output_5*0.000278947) + (perceptron_layer_1_output_6*0.516689) + (perceptron_layer_1_output_7*0.000169561) + (perceptron_layer_1_output_8*0.00105861) + (perceptron_layer_1_output_9*-4.6832e-06) );
perceptron_layer_2_output_17 = ( -0.000196106 + (perceptron_layer_1_output_0*3.16771e-05) + (perceptron_layer_1_output_1*3.60245e-05) + (perceptron_layer_1_output_2*-0.188436) + (perceptron_layer_1_output_3*0.268331) + (perceptron_layer_1_output_4*-0.272384) + (perceptron_layer_1_output_5*0.000348692) + (perceptron_layer_1_output_6*1.21933e-05) + (perceptron_layer_1_output_7*-0.570332) + (perceptron_layer_1_output_8*0.00012354) + (perceptron_layer_1_output_9*-4.36534e-05) );
perceptron_layer_2_output_18 = ( 0.267427 + (perceptron_layer_1_output_0*0.000684955) + (perceptron_layer_1_output_1*-4.32167e-05) + (perceptron_layer_1_output_2*-8.28169e-05) + (perceptron_layer_1_output_3*2.30211e-05) + (perceptron_layer_1_output_4*3.69312e-06) + (perceptron_layer_1_output_5*-1.55565e-05) + (perceptron_layer_1_output_6*6.31279e-05) + (perceptron_layer_1_output_7*0.525982) + (perceptron_layer_1_output_8*0.00113883) + (perceptron_layer_1_output_9*-0.00011737) );
perceptron_layer_2_output_19 = ( 0.133312 + (perceptron_layer_1_output_0*0.30327) + (perceptron_layer_1_output_1*0.470258) + (perceptron_layer_1_output_2*0.0001558) + (perceptron_layer_1_output_3*-6.41378e-05) + (perceptron_layer_1_output_4*0.000769986) + (perceptron_layer_1_output_5*-0.179019) + (perceptron_layer_1_output_6*0.000117757) + (perceptron_layer_1_output_7*0.000122419) + (perceptron_layer_1_output_8*0.645101) + (perceptron_layer_1_output_9*3.24587e-05) );
perceptron_layer_2_output_20 = ( 4.26476e-05 + (perceptron_layer_1_output_0*-0.000102727) + (perceptron_layer_1_output_1*1.42918e-06) + (perceptron_layer_1_output_2*-0.00016005) + (perceptron_layer_1_output_3*0.000120576) + (perceptron_layer_1_output_4*8.23697e-06) + (perceptron_layer_1_output_5*-1.24781e-05) + (perceptron_layer_1_output_6*0.434018) + (perceptron_layer_1_output_7*0.108539) + (perceptron_layer_1_output_8*0.0161262) + (perceptron_layer_1_output_9*-0.000211734) );
perceptron_layer_2_output_21 = ( -1.01187e-05 + (perceptron_layer_1_output_0*-7.2426e-05) + (perceptron_layer_1_output_1*-0.000134239) + (perceptron_layer_1_output_2*-0.169497) + (perceptron_layer_1_output_3*0.00021877) + (perceptron_layer_1_output_4*-5.71454e-05) + (perceptron_layer_1_output_5*-3.90743e-05) + (perceptron_layer_1_output_6*0.450924) + (perceptron_layer_1_output_7*-5.92217e-05) + (perceptron_layer_1_output_8*0.00028591) + (perceptron_layer_1_output_9*4.36126e-06) );
perceptron_layer_2_output_22 = ( 0.000233378 + (perceptron_layer_1_output_0*0.000146757) + (perceptron_layer_1_output_1*-2.7065e-06) + (perceptron_layer_1_output_2*-0.189098) + (perceptron_layer_1_output_3*0.269304) + (perceptron_layer_1_output_4*-0.238697) + (perceptron_layer_1_output_5*-8.06029e-05) + (perceptron_layer_1_output_6*4.95457e-05) + (perceptron_layer_1_output_7*-0.581339) + (perceptron_layer_1_output_8*-0.000231346) + (perceptron_layer_1_output_9*-1.92252e-05) );
perceptron_layer_2_output_23 = ( 0.265025 + (perceptron_layer_1_output_0*0.000113315) + (perceptron_layer_1_output_1*0.00141134) + (perceptron_layer_1_output_2*-5.43647e-05) + (perceptron_layer_1_output_3*-2.98675e-05) + (perceptron_layer_1_output_4*-6.38004e-05) + (perceptron_layer_1_output_5*-0.000186446) + (perceptron_layer_1_output_6*0.000247684) + (perceptron_layer_1_output_7*0.524429) + (perceptron_layer_1_output_8*3.08645e-05) + (perceptron_layer_1_output_9*-2.83489e-05) );
perceptron_layer_2_output_24 = ( 0.148252 + (perceptron_layer_1_output_0*0.185196) + (perceptron_layer_1_output_1*0.502774) + (perceptron_layer_1_output_2*0.000737988) + (perceptron_layer_1_output_3*-0.00282174) + (perceptron_layer_1_output_4*0.0160523) + (perceptron_layer_1_output_5*-0.113163) + (perceptron_layer_1_output_6*0.000173715) + (perceptron_layer_1_output_7*0.000417266) + (perceptron_layer_1_output_8*0.698148) + (perceptron_layer_1_output_9*-0.000113526) );
perceptron_layer_2_output_25 = ( 1.00297e-05 + (perceptron_layer_1_output_0*1.34087e-05) + (perceptron_layer_1_output_1*-3.1442e-05) + (perceptron_layer_1_output_2*-0.000280408) + (perceptron_layer_1_output_3*6.38609e-05) + (perceptron_layer_1_output_4*-0.000109041) + (perceptron_layer_1_output_5*5.21823e-05) + (perceptron_layer_1_output_6*0.384075) + (perceptron_layer_1_output_7*0.101424) + (perceptron_layer_1_output_8*0.0147324) + (perceptron_layer_1_output_9*-6.43515e-05) );
perceptron_layer_2_output_26 = ( 0.000193643 + (perceptron_layer_1_output_0*6.32104e-05) + (perceptron_layer_1_output_1*0.000173745) + (perceptron_layer_1_output_2*-0.202379) + (perceptron_layer_1_output_3*0.000104262) + (perceptron_layer_1_output_4*-0.000175468) + (perceptron_layer_1_output_5*-0.00019416) + (perceptron_layer_1_output_6*0.385723) + (perceptron_layer_1_output_7*6.30879e-05) + (perceptron_layer_1_output_8*2.56892e-05) + (perceptron_layer_1_output_9*-3.27888e-06) );
perceptron_layer_2_output_27 = ( 8.234e-06 + (perceptron_layer_1_output_0*-0.000105641) + (perceptron_layer_1_output_1*0.000123252) + (perceptron_layer_1_output_2*-0.158707) + (perceptron_layer_1_output_3*0.301557) + (perceptron_layer_1_output_4*-0.218392) + (perceptron_layer_1_output_5*0.000360659) + (perceptron_layer_1_output_6*0.000228842) + (perceptron_layer_1_output_7*-0.594878) + (perceptron_layer_1_output_8*-0.000117629) + (perceptron_layer_1_output_9*-3.71235e-05) );
perceptron_layer_2_output_28 = ( 0.267906 + (perceptron_layer_1_output_0*9.39902e-06) + (perceptron_layer_1_output_1*0.00535142) + (perceptron_layer_1_output_2*-7.33732e-05) + (perceptron_layer_1_output_3*-0.000556824) + (perceptron_layer_1_output_4*5.73547e-05) + (perceptron_layer_1_output_5*-0.000259201) + (perceptron_layer_1_output_6*0.0001472) + (perceptron_layer_1_output_7*0.533089) + (perceptron_layer_1_output_8*0.00024621) + (perceptron_layer_1_output_9*-0.000255737) );
perceptron_layer_2_output_29 = ( 0.151295 + (perceptron_layer_1_output_0*0.0586795) + (perceptron_layer_1_output_1*0.65625) + (perceptron_layer_1_output_2*0.000500205) + (perceptron_layer_1_output_3*2.05952e-05) + (perceptron_layer_1_output_4*0.0608418) + (perceptron_layer_1_output_5*-0.057616) + (perceptron_layer_1_output_6*2.70908e-05) + (perceptron_layer_1_output_7*0.000551598) + (perceptron_layer_1_output_8*0.631893) + (perceptron_layer_1_output_9*-5.24758e-05) );
perceptron_layer_2_output_30 = ( 0.000108599 + (perceptron_layer_1_output_0*7.99234e-05) + (perceptron_layer_1_output_1*1.28938e-05) + (perceptron_layer_1_output_2*-0.00749721) + (perceptron_layer_1_output_3*-0.000218512) + (perceptron_layer_1_output_4*0.000111247) + (perceptron_layer_1_output_5*-0.000123932) + (perceptron_layer_1_output_6*0.33153) + (perceptron_layer_1_output_7*0.10259) + (perceptron_layer_1_output_8*0.0086827) + (perceptron_layer_1_output_9*-2.01403e-05) );
perceptron_layer_2_output_31 = ( -0.000257073 + (perceptron_layer_1_output_0*0.00014712) + (perceptron_layer_1_output_1*-5.97125e-05) + (perceptron_layer_1_output_2*-0.244648) + (perceptron_layer_1_output_3*1.34943e-05) + (perceptron_layer_1_output_4*-1.43019e-06) + (perceptron_layer_1_output_5*-0.000211559) + (perceptron_layer_1_output_6*0.312907) + (perceptron_layer_1_output_7*-2.19024e-05) + (perceptron_layer_1_output_8*-6.29357e-05) + (perceptron_layer_1_output_9*-6.00737e-05) );
perceptron_layer_2_output_32 = ( 9.62746e-05 + (perceptron_layer_1_output_0*1.02039e-05) + (perceptron_layer_1_output_1*-0.000255286) + (perceptron_layer_1_output_2*-0.137271) + (perceptron_layer_1_output_3*0.342481) + (perceptron_layer_1_output_4*-0.175306) + (perceptron_layer_1_output_5*0.000214274) + (perceptron_layer_1_output_6*0.000357222) + (perceptron_layer_1_output_7*-0.596591) + (perceptron_layer_1_output_8*-0.000109935) + (perceptron_layer_1_output_9*-0.000152015) );
perceptron_layer_2_output_33 = ( 0.269349 + (perceptron_layer_1_output_0*0.000299573) + (perceptron_layer_1_output_1*0.00666976) + (perceptron_layer_1_output_2*-0.000309186) + (perceptron_layer_1_output_3*-0.000165958) + (perceptron_layer_1_output_4*0.000220691) + (perceptron_layer_1_output_5*2.30115e-05) + (perceptron_layer_1_output_6*0.00112501) + (perceptron_layer_1_output_7*0.53254) + (perceptron_layer_1_output_8*-8.01891e-06) + (perceptron_layer_1_output_9*6.21555e-05) );
perceptron_layer_2_output_34 = ( 0.154989 + (perceptron_layer_1_output_0*0.0479387) + (perceptron_layer_1_output_1*0.723618) + (perceptron_layer_1_output_2*0.00054167) + (perceptron_layer_1_output_3*-0.000752354) + (perceptron_layer_1_output_4*0.0569981) + (perceptron_layer_1_output_5*-0.0406807) + (perceptron_layer_1_output_6*4.40218e-05) + (perceptron_layer_1_output_7*0.00637018) + (perceptron_layer_1_output_8*0.569702) + (perceptron_layer_1_output_9*-3.59483e-05) );

unscaling_layer_output_0 = 10+0.5*(perceptron_layer_2_output_0+1)*(166-10);
unscaling_layer_output_1 = 4+0.5*(perceptron_layer_2_output_1+1)*(160-4);
unscaling_layer_output_2 = 1+0.5*(perceptron_layer_2_output_2+1)*(249-1);
unscaling_layer_output_3 = 2+0.5*(perceptron_layer_2_output_3+1)*(74-2);
unscaling_layer_output_4 = 0+0.5*(perceptron_layer_2_output_4+1)*(17-0);
unscaling_layer_output_5 = 10+0.5*(perceptron_layer_2_output_5+1)*(166-10);
unscaling_layer_output_6 = 4+0.5*(perceptron_layer_2_output_6+1)*(160-4);
unscaling_layer_output_7 = 1+0.5*(perceptron_layer_2_output_7+1)*(249-1);
unscaling_layer_output_8 = 2+0.5*(perceptron_layer_2_output_8+1)*(74-2);
unscaling_layer_output_9 = 0+0.5*(perceptron_layer_2_output_9+1)*(17-0);
unscaling_layer_output_10 = 10+0.5*(perceptron_layer_2_output_10+1)*(166-10);
unscaling_layer_output_11 = 4+0.5*(perceptron_layer_2_output_11+1)*(160-4);
unscaling_layer_output_12 = 1+0.5*(perceptron_layer_2_output_12+1)*(249-1);
unscaling_layer_output_13 = 2+0.5*(perceptron_layer_2_output_13+1)*(74-2);
unscaling_layer_output_14 = 0+0.5*(perceptron_layer_2_output_14+1)*(17-0);
unscaling_layer_output_15 = 10+0.5*(perceptron_layer_2_output_15+1)*(166-10);
unscaling_layer_output_16 = 4+0.5*(perceptron_layer_2_output_16+1)*(160-4);
unscaling_layer_output_17 = 1+0.5*(perceptron_layer_2_output_17+1)*(249-1);
unscaling_layer_output_18 = 2+0.5*(perceptron_layer_2_output_18+1)*(74-2);
unscaling_layer_output_19 = 0+0.5*(perceptron_layer_2_output_19+1)*(17-0);
unscaling_layer_output_20 = 10+0.5*(perceptron_layer_2_output_20+1)*(166-10);
unscaling_layer_output_21 = 4+0.5*(perceptron_layer_2_output_21+1)*(160-4);
unscaling_layer_output_22 = 1+0.5*(perceptron_layer_2_output_22+1)*(249-1);
unscaling_layer_output_23 = 2+0.5*(perceptron_layer_2_output_23+1)*(74-2);
unscaling_layer_output_24 = 0+0.5*(perceptron_layer_2_output_24+1)*(17-0);
unscaling_layer_output_25 = 10+0.5*(perceptron_layer_2_output_25+1)*(166-10);
unscaling_layer_output_26 = 4+0.5*(perceptron_layer_2_output_26+1)*(160-4);
unscaling_layer_output_27 = 1+0.5*(perceptron_layer_2_output_27+1)*(249-1);
unscaling_layer_output_28 = 2+0.5*(perceptron_layer_2_output_28+1)*(74-2);
unscaling_layer_output_29 = 0+0.5*(perceptron_layer_2_output_29+1)*(17-0);
unscaling_layer_output_30 = 10+0.5*(perceptron_layer_2_output_30+1)*(166-10);
unscaling_layer_output_31 = 4+0.5*(perceptron_layer_2_output_31+1)*(160-4);
unscaling_layer_output_32 = 1+0.5*(perceptron_layer_2_output_32+1)*(249-1);
unscaling_layer_output_33 = 2+0.5*(perceptron_layer_2_output_33+1)*(74-2);
unscaling_layer_output_34 = 0+0.5*(perceptron_layer_2_output_34+1)*(17-0);
        

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