This is a non-regularised implementation of logistic regression.
In [23]:
import numpy as np #Importing required modules and libraries
from math import *
from numpy import linalg
import matplotlib.pyplot as plt
In [24]:
train_data = np.genfromtxt('ex2data1.txt',delimiter=',')
y = train_data[:,-1]
print "Target Values:-"
print y
X= train_data[:,0:2]
m = len(y)
X= np.insert(X,0,np.ones(m),axis = 1)
alpha = 0.005
Target Values:-
[ 0. 0. 0. 1. 1. 0. 1. 1. 1. 1. 0. 0. 1. 1. 0. 1. 1. 0.
1. 1. 0. 1. 0. 0. 1. 1. 1. 0. 0. 0. 1. 1. 0. 1. 0. 0.
0. 1. 0. 0. 1. 0. 1. 0. 0. 0. 1. 1. 1. 1. 1. 1. 1. 0.
0. 0. 1. 0. 1. 1. 1. 0. 0. 0. 0. 0. 1. 0. 1. 1. 0. 1.
1. 1. 1. 1. 1. 1. 0. 0. 1. 1. 1. 1. 1. 1. 0. 1. 1. 0.
1. 1. 0. 1. 1. 1. 1. 1. 1. 1.]
In [25]:
def sigmoid(z):
return 1/(1+np.exp(-z))
In [26]:
def calcost(hypothesis,y):
sum = (np.dot(y,np.log(hypothesis))) + np.dot((1-y),np.log(1-hypothesis))
return -sum/m
In [27]:
theta = np.array([0,0,0])
prod = np.dot(X,theta.transpose())
hypothesis = sigmoid(prod)
oldcost = calcost(hypothesis,y)
diff = hypothesis - y
In [28]:
while True:
theta = theta - (alpha/m)*(np.dot(diff.transpose(),X))
prod = np.dot(X,theta.transpose())
hypothesis = 1/(1 + np.exp(-prod))
diff = hypothesis - y
newcost = calcost(hypothesis,y)
print newcost
if abs(newcost-oldcost) <= 0.001*oldcost:
break
else:
oldcost = newcost
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0.38597278556
0.840603236162
2.86839086304
0.359903536254
0.896284727385
1.73901138557
5.1964252985
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1.68940340777
5.07088283473
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4.87015454547
0.700116417824
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4.72646930808
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1.00267320143
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1.74005595293
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4.27209871195
0.388395241219
0.790062456727
2.64005323335
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1.59145765434
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4.84714401982
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1.35345337377
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0.859250857568
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0.75330322592
2.50348057508
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0.680819357992
2.26717107909
0.711327734387
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0.621550073603
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0.906395008332
3.09062029382
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1.26033103822
4.17845307608
0.339207599173
0.704786788677
2.39033059666
0.621927068758
2.06997228537
0.883975835037
3.02729558317
0.301123494097
0.623605113489
1.47476389922
4.7009134453
0.587212069302
1.39384700639
4.50933058272
0.483583849243
1.1467190611
3.85345157947
0.25457392626
0.353983896964
0.898128963507
1.7407343042
5.20000779134
0.923939151392
1.73562787804
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1.71802593571
5.1343912143
0.879374590642
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0.409174521267
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2.85908291978
0.364292228133
0.86262776443
1.69635830954
5.0976851557
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4.67550961437
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0.362937259661
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2.3321290484
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2.15011532235
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1.68788173255
5.08881859123
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4.99991464804
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4.90729610409
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4.75117421169
0.628342386052
1.3797932591
4.41454433822
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3.26919405691
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1.54891804467
4.84745393291
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1.53475146207
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0.655798681764
1.48720192886
4.69997283268
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3.37444972064
0.23656498569
0.260630255881
0.39198379672
1.0918910404
1.73870388476
5.19386456043
0.919370022474
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0.903006031107
1.71346587964
5.12455110066
0.872242714422
1.6866238748
5.06529184718
0.831508219771
1.64877947917
4.98645783014
0.778208401883
1.59228671534
4.87201313595
0.703443353376
1.49635251792
4.67302428777
0.583153160068
1.29072392749
4.19079950628
0.357939084704
0.690620132958
2.26473727925
0.707392557468
2.34060917369
0.650445869105
2.1289369185
0.821521171818
2.77560963184
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1.70533121057
5.10326190404
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1.67160805954
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1.6249075116
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3.57646625594
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0.231113355081
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0.279170097335
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2.88076449375
0.349861474871
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1.73310827723
5.18317767875
0.91138520335
1.72817381932
5.16177697842
0.897538753974
1.71022681216
5.1179772097
0.867448163342
1.68311973024
5.05815239508
0.826432558502
1.64432467353
4.97733199391
0.771956185702
1.58558121281
4.85799908949
0.694396967616
1.48380845294
4.64512806434
0.567287627911
1.25897734555
4.10676396301
0.329545895308
0.593639573648
1.88526145884
1.04891551283
3.52704538165
0.231006370673
0.2248627408
0.221234179242
0.219936800435
0.223993831965
0.252720186757
0.392948182398
1.1347732241
1.72885812074
5.18722608468
0.912124531688
1.74142596715
5.19685065826
0.921342584921
1.73156854357
5.16787875047
0.901825787781
1.71247726119
5.12240136183
0.870457981136
1.68540438511
5.06268994
0.829464643219
1.64723065438
4.9829520113
0.775637286349
1.58987648259
4.86628408947
0.699595401305
1.49149823094
4.6610757805
0.576187223961
1.27763906582
4.15465018314
0.345070650287
0.64888797706
2.10363909263
0.840035772606
2.82764965119
0.372761806965
0.92829458359
1.72056781007
5.1354300907
0.879902746484
1.68978020712
5.06969683301
0.834424603773
1.65031332628
4.98782976739
0.778986147957
1.5926365788
4.87073589078
0.702498208396
1.49487209629
4.6672089421
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1.28420984535
4.17047197895
0.350537772664
0.667527350722
2.17501098909
0.777541224949
2.60097863581
0.481190309192
1.42502629149
1.50842665991
4.7336549544
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1.39337353155
4.47062709899
0.470092438851
1.06938883228
3.59000963814
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0.328827062506
0.79637218177
1.68370789696
5.10102510427
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1.68007286405
5.05557016556
0.823979544233
1.64566078277
4.98206435228
0.774595342433
1.59141585217
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1.49738783039
4.67423322979
0.583291256616
1.2944370567
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0.359616719075
0.701231989511
2.30521532066
0.672818790819
2.20582003748
0.751619463261
2.51164793207
0.532592202293
1.65437550681
1.28449068355
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2.449655205
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1.84105853271
1.09437589197
3.67881965916
0.232525322093
0.251244619555
0.371166052558
0.837639478172
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0.886374939015
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1.66984669639
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0.806865498606
1.6251491635
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0.745329630907
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0.653220437437
1.42087727398
4.50235787737
0.491320033772
1.08608016239
3.61370837383
0.237722006655
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0.807480760589
1.66499207727
5.04511055363
0.814167422876
1.65560256255
5.01556750543
0.795348645021
1.62701276322
4.95146285933
0.753180560928
1.57418280548
4.84078517161
0.682160604983
1.47515736723
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0.557408027586
1.24755027673
4.07736892531
0.318778287525
0.564591653284
1.77425693172
1.15733026795
3.84914179953
0.258432591498
0.352664515829
0.86717425354
1.70380618746
5.11379470256
0.862853806362
1.68802360899
5.07344781284
0.835797942941
1.65852350685
5.00873225451
0.792155875364
1.61207298018
4.91231144454
0.72854271395
1.53478959464
4.75248866255
0.628792588576
1.38124258406
4.40993046754
0.446569039459
0.969727129055
3.24796954802
0.255613253525
0.333694415111
0.665565860642
2.21615084257
0.744681838458
2.51115301563
0.532508631971
1.68349684814
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2.14451859669
0.805408234564
2.73225138832
0.411588321705
1.15517419495
1.69559840146
5.09841414826
0.851836815873
1.68082648017
5.05972545997
0.826126276728
1.65093403299
4.99405413691
0.782083314181
1.60229301155
4.89297492023
0.715857126644
1.51893798434
4.71930812407
0.608949595895
1.34647624851
4.32587437171
0.40926339321
0.86288366194
2.88879172278
0.347824368735
0.793581930119
1.63662175373
4.97802945661
0.769680193102
1.60152792957
4.90108628536
0.719769204259
1.53466993245
4.76001320729
0.631957743713
1.39710115647
4.45326847548
0.465523398958
1.03087285593
3.44799107649
0.234545464948
0.234413265508
In [29]:
print "Values of theta:- ",theta
prod = np.dot(X,theta.transpose())
predicted = sigmoid(prod)
print "The predicted values are as follows:- "
print predicted
Values of theta:- [-17.62979105 0.165549 0.1287347 ]
The predicted values are as follows:-
[ 1.35474929e-01 9.43427431e-04 9.02779324e-02 9.69060197e-01
9.94253691e-01 5.13473879e-02 9.92686734e-01 6.86454867e-01
9.98019350e-01 8.75690229e-01 9.59336571e-01 2.18974362e-01
9.97105204e-01 9.98395333e-01 2.14892486e-01 9.42086344e-01
6.44335211e-01 4.08032435e-01 9.97602906e-01 7.75328358e-01
2.76552745e-01 9.96620932e-01 4.85973009e-02 1.87978112e-03
9.84474131e-01 8.43523084e-01 8.04665276e-01 9.41596178e-01
2.84111507e-01 5.51150260e-02 8.70387591e-01 9.79233141e-01
2.93872102e-01 4.81181828e-01 1.41018639e-01 1.34322905e-01
6.71022402e-01 9.68025502e-01 5.25835915e-01 9.23713401e-02
9.70941787e-01 4.46131653e-02 9.98415988e-01 7.74736526e-01
3.62666751e-02 3.48228889e-01 9.85512184e-01 9.99939998e-01
9.93963329e-01 9.99869889e-01 9.94247548e-01 9.98717125e-01
9.50074221e-01 1.56858273e-02 5.24837829e-02 1.51706472e-01
9.99389255e-01 5.17538267e-01 9.74688285e-01 9.87329618e-01
9.97246586e-01 3.22035273e-03 3.68726980e-02 1.89007546e-03
1.57019557e-01 2.10698042e-01 8.35356840e-01 5.58978812e-02
9.99457590e-01 7.81045576e-01 1.30868484e-03 9.53346921e-01
9.98812751e-01 8.56781777e-01 8.67252877e-01 9.99728979e-01
8.29865593e-01 6.18424414e-01 1.04412818e-01 8.14916854e-01
9.97707884e-01 9.81153638e-01 8.89653311e-01 3.79321865e-01
9.99379629e-01 9.91199099e-01 3.74213659e-01 9.98508146e-01
9.99602573e-01 2.42230843e-01 9.99622093e-01 9.99817631e-01
2.05206154e-02 9.96406084e-01 9.56197644e-01 9.18338060e-01
6.41039568e-01 9.99531493e-01 4.72698864e-01 9.98120515e-01]
Content source: IEEE-NITK/SummerProjects17
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