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@srajangarg
Created May 7, 2016 21:22
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Plotting the KS2 vs KS1 graphs (after noise reduction)
0.25 5 1 1.154545
0.25 5 2 1.149446
0.25 5 3 1.093610
0.25 5 4 1.127608
0.25 5 5 1.120301
0.25 5 6 1.145217
0.25 5 7 1.125205
0.25 5 8 1.126361
0.25 5 9 1.089424
0.25 5 10 1.091301
0.25 5 11 1.094478
0.25 5 12 1.097499
0.25 5 13 1.098484
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0.25 5 10000 0.634961
0.25 10 1 1.145251
0.25 10 2 1.127059
0.25 10 3 1.128183
0.25 10 4 1.105212
0.25 10 5 1.101138
0.25 10 6 1.121594
0.25 10 7 1.105128
0.25 10 8 1.114547
0.25 10 9 1.104354
0.25 10 10 1.086055
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0.25 10 253 0.992135
0.25 10 256 0.992565
0.25 10 259 0.983090
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0.5 10 322 1.091980
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0.5 10 385 1.105075
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0.5 10 448 1.098894
0.5 10 451 1.088542
0.5 10 454 1.142240
0.5 10 457 1.088199
0.5 10 460 1.121722
0.5 10 463 1.084127
0.5 10 466 1.065967
0.5 10 469 1.129920
0.5 10 472 1.058485
0.5 10 475 1.106010
0.5 10 478 1.068861
0.5 10 481 1.047363
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0.5 10 487 1.089488
0.5 10 490 1.080713
0.5 10 493 1.103079
0.5 10 496 1.076251
0.5 10 499 1.013865
0.5 10 525 1.007511
0.5 10 550 1.106320
0.5 10 575 1.045046
0.5 10 600 1.145345
0.5 10 625 1.062784
0.5 10 650 1.048398
0.5 10 675 1.009006
0.5 10 700 1.036708
0.5 10 725 1.032216
0.5 10 750 0.948840
0.5 10 775 0.951074
0.5 10 800 0.957632
0.5 10 825 1.028267
0.5 10 850 1.015350
0.5 10 875 0.991110
0.5 10 900 1.037778
0.5 10 925 1.094319
0.5 10 950 0.995711
0.5 10 975 0.996190
0.5 10 1000 0.973037
0.5 10 1050 0.864830
0.5 10 1100 1.015854
0.5 10 1150 0.970201
0.5 10 1200 0.843031
0.5 10 1250 0.914104
0.5 10 1300 0.876181
0.5 10 1350 0.908974
0.5 10 1400 1.126956
0.5 10 1450 0.932557
0.5 10 1500 0.889393
0.5 10 1550 0.997143
0.5 10 1600 0.824302
0.5 10 1650 0.901880
0.5 10 1700 0.987468
0.5 10 1750 0.891662
0.5 10 1800 0.852389
0.5 10 1850 0.854670
0.5 10 1900 0.953520
0.5 10 1950 0.848016
0.5 10 2000 0.999047
0.5 10 2050 0.873502
0.5 10 2100 0.880938
0.5 10 2150 0.896126
0.5 10 2200 0.944652
0.5 10 2250 0.866674
0.5 10 2300 0.865470
0.5 10 2350 0.805735
0.5 10 2400 0.869154
0.5 10 2450 0.887932
0.5 10 2500 0.910584
0.5 10 2550 0.848703
0.5 10 2600 0.874376
0.5 10 2650 0.842761
0.5 10 2700 0.846785
0.5 10 2750 0.821284
0.5 10 2800 0.829586
0.5 10 2850 0.832140
0.5 10 2900 0.825694
0.5 10 2950 0.813692
0.5 10 3000 0.851089
0.5 10 3050 0.821253
0.5 10 3200 0.847593
0.5 10 3350 0.837690
0.5 10 3500 0.814132
0.5 10 3650 0.792850
0.5 10 3800 0.806800
0.5 10 3950 0.811849
0.5 10 4100 0.793963
0.5 10 4250 0.764189
0.5 10 4400 0.790614
0.5 10 4550 0.767345
0.5 10 4700 0.771792
0.5 10 4850 0.774595
0.5 10 5000 0.747690
0.5 10 5150 0.774878
0.5 10 5300 0.758159
0.5 10 5450 0.728063
0.5 10 5600 0.749328
0.5 10 5750 0.755949
0.5 10 5900 0.747444
0.5 10 6050 0.747381
0.5 10 6200 0.755317
0.5 10 6350 0.739229
0.5 10 6500 0.742864
0.5 10 6650 0.737270
0.5 10 6800 0.744986
0.5 10 6950 0.745263
0.5 10 7100 0.724876
0.5 10 7250 0.731988
0.5 10 7400 0.730466
0.5 10 7500 0.742541
0.5 10 7750 0.726366
0.5 10 8000 0.726389
0.5 10 8250 0.738476
0.5 10 8500 0.720623
0.5 10 8750 0.793081
0.5 10 9000 0.551124
0.5 10 9250 0.776700
0.5 10 9500 0.844289
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0.5 15 1 1.151540
0.5 15 2 1.138548
0.5 15 3 1.141877
0.5 15 4 1.144943
0.5 15 5 1.144968
0.5 15 6 1.161898
0.5 15 7 1.162997
0.5 15 8 1.157566
0.5 15 9 1.180601
0.5 15 10 1.154465
0.5 15 11 1.146079
0.5 15 12 1.159593
0.5 15 13 1.131359
0.5 15 14 1.141442
0.5 15 15 1.109821
0.5 15 16 1.137341
0.5 15 17 1.124683
0.5 15 18 1.126184
0.5 15 19 1.107065
0.5 15 20 1.133278
0.5 15 21 1.109396
0.5 15 22 1.128118
0.5 15 23 1.119841
0.5 15 24 1.130839
0.5 15 25 1.127676
0.5 15 26 1.139786
0.5 15 27 1.116306
0.5 15 28 1.147534
0.5 15 29 1.115699
0.5 15 30 1.108401
0.5 15 31 1.141646
0.5 15 32 1.131393
0.5 15 33 1.131880
0.5 15 34 1.129792
0.5 15 35 1.145127
0.5 15 36 1.121167
0.5 15 37 1.151675
0.5 15 38 1.133023
0.5 15 39 1.123196
0.5 15 40 1.132841
0.5 15 41 1.145048
0.5 15 42 1.133178
0.5 15 43 1.135881
0.5 15 44 1.149446
0.5 15 45 1.137366
0.5 15 46 1.137880
0.5 15 47 1.137146
0.5 15 48 1.116624
0.5 15 49 1.120479
0.5 15 50 1.108512
0.5 15 51 1.111609
0.5 15 52 1.098158
0.5 15 53 1.123246
0.5 15 54 1.149410
0.5 15 55 1.139472
0.5 15 56 1.124193
0.5 15 57 1.136107
0.5 15 58 1.112255
0.5 15 59 1.147401
0.5 15 60 1.111465
0.5 15 61 1.127531
0.5 15 62 1.099288
0.5 15 63 1.121889
0.5 15 64 1.115348
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0.5 15 66 1.114846
0.5 15 67 1.124889
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0.5 15 69 1.135885
0.5 15 70 1.131506
0.5 15 71 1.123343
0.5 15 72 1.137745
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0.5 15 74 1.116999
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0.5 15 78 1.098049
0.5 15 79 1.139652
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0.5 15 84 1.106097
0.5 15 85 1.118138
0.5 15 86 1.110167
0.5 15 87 1.147510
0.5 15 88 1.122660
0.5 15 89 1.126176
0.5 15 90 1.135956
0.5 15 91 1.114483
0.5 15 92 1.130840
0.5 15 93 1.129632
0.5 15 94 1.092756
0.5 15 95 1.094712
0.5 15 96 1.119770
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0.5 15 99 1.117521
0.5 15 100 1.124391
0.5 15 101 1.135226
0.5 15 102 1.115619
0.5 15 103 1.119361
0.5 15 104 1.126076
0.5 15 105 1.115094
0.5 15 106 1.114975
0.5 15 107 1.119476
0.5 15 108 1.108872
0.5 15 109 1.131099
0.5 15 110 1.114009
0.5 15 111 1.093704
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0.5 15 114 1.117617
0.5 15 115 1.104067
0.5 15 116 1.106503
0.5 15 117 1.125137
0.5 15 118 1.104999
0.5 15 119 1.103275
0.5 15 120 1.101030
0.5 15 121 1.112405
0.5 15 122 1.090545
0.5 15 123 1.097296
0.5 15 124 1.105344
0.5 15 125 1.110882
0.5 15 126 1.106193
0.5 15 127 1.132384
0.5 15 128 1.135840
0.5 15 129 1.137676
0.5 15 130 1.118666
0.5 15 131 1.140475
0.5 15 132 1.119805
0.5 15 133 1.132515
0.5 15 134 1.107433
0.5 15 135 1.120652
0.5 15 136 1.130770
0.5 15 137 1.140968
0.5 15 138 1.100040
0.5 15 139 1.128768
0.5 15 140 1.143571
0.5 15 141 1.129986
0.5 15 142 1.123922
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0.5 15 145 1.119645
0.5 15 146 1.108709
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0.5 15 148 1.095679
0.5 15 149 1.116563
0.5 15 150 1.114190
0.5 15 151 1.144640
0.5 15 152 1.120900
0.5 15 153 1.105378
0.5 15 154 1.105652
0.5 15 155 1.118559
0.5 15 156 1.120934
0.5 15 157 1.129352
0.5 15 158 1.115767
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0.75 10 1450 0.994082
0.75 10 1500 1.164380
0.75 10 1550 0.967777
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0.75 10 1650 1.077207
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0.75 10 1750 1.032796
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0.75 10 2150 1.029230
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0.75 15 4 1.125896
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0.75 15 14 1.200000
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0.75 15 24 1.185376
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0.75 15 27 1.202124
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0.75 15 29 1.187340
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0.75 15 33 1.180878
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0.75 15 61 1.194714
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1.0 10 800 1.103175
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1.0 10 925 1.252739
1.0 10 950 1.101468
1.0 10 975 1.263189
1.0 10 1000 1.222401
1.0 10 1050 1.135776
1.0 10 1100 1.154648
1.0 10 1150 1.162423
1.0 10 1200 1.164981
1.0 10 1250 0.987190
1.0 10 1300 1.239095
1.0 10 1350 1.048220
1.0 10 1400 1.188283
1.0 10 1450 1.033241
1.0 10 1500 1.059067
1.0 10 1550 1.183519
1.0 10 1600 1.103589
1.0 10 1650 1.068373
1.0 10 1700 1.180661
1.0 10 1750 1.189039
1.0 10 1800 1.070241
1.0 10 1850 0.945649
1.0 10 1900 1.073914
1.0 10 1950 1.093387
1.0 10 2000 1.022899
1.0 10 2050 1.026694
1.0 10 2100 1.029019
1.0 10 2150 1.004696
1.0 10 2200 1.069463
1.0 10 2250 1.019953
1.0 10 2300 1.142940
1.0 10 2350 0.988793
1.0 10 2400 1.041736
1.0 10 2450 1.110481
1.0 10 2500 1.071215
1.0 10 2550 1.030970
1.0 10 2600 1.047531
1.0 10 2650 1.065709
1.0 10 2700 1.036604
1.0 10 2750 1.006321
1.0 10 2800 0.977892
1.0 10 2850 1.084640
1.0 10 2900 0.983504
1.0 10 2950 1.062116
1.0 10 3000 0.988494
1.0 10 3050 1.117115
1.0 10 3200 0.971324
1.0 10 3350 1.003983
1.0 10 3500 0.896604
1.0 10 3650 1.020904
1.0 10 3800 1.012014
1.0 10 3950 0.995464
1.0 10 4100 0.990123
1.0 10 4250 0.940789
1.0 10 4400 1.011878
1.0 10 4550 0.926603
1.0 10 4700 0.948516
1.0 10 4850 0.935026
1.0 10 5000 0.905223
1.0 10 5150 0.919518
1.0 10 5300 0.919514
1.0 10 5450 0.960046
1.0 10 5600 0.899989
1.0 10 5750 0.884083
1.0 10 5900 0.905747
1.0 10 6050 0.929900
1.0 10 6200 0.873463
1.0 10 6350 0.925596
1.0 10 6500 0.899913
1.0 10 6650 0.900806
1.0 10 6800 0.908027
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1.0 10 7100 0.863227
1.0 10 7250 0.881093
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1.0 10 8000 0.878639
1.0 10 8250 0.859967
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1.0 15 1 1.176969
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1.0 15 3 1.182648
1.0 15 4 1.149913
1.0 15 5 1.166283
1.0 15 6 1.147629
1.0 15 7 1.184010
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1.0 15 9 1.183040
1.0 15 10 1.203506
1.0 15 11 1.212456
1.0 15 12 1.211013
1.0 15 13 1.242256
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1.0 15 18 1.198126
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1.0 15 25 1.241490
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1.0 15 27 1.238352
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1.0 15 29 1.251537
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1.0 15 32 1.236191
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1.0 15 162 1.231585
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1.0 20 8500 0.805556
1.0 20 8750 0.823493
1.0 20 9000 0.795296
1.0 20 9250 0.810677
1.0 20 9500 0.793363
1.0 20 9750 0.801874
1.0 20 10000 0.800122
import matplotlib.pyplot as plt
import pandas as pd
import numpy as np
from statsmodels.nonparametric.smoothers_lowess import lowess
data = pd.read_csv("bench.txt", sep=" ", header=None).values
sparseness = [0.25, 0.5, 0.75, 1]
coeff = [5, 10, 15, 20]
alldata = {}
div = len(coeff) * len(sparseness)
i = 0
for s in sparseness:
alldata[s] = {}
for c in coeff:
xx = data[i:i+(len(data)/div), 2]
yy = data[i:i+(len(data)/div), 3]
filtered = lowess(yy, xx, is_sorted=True, frac=0.03, it=0)
alldata[s][c] = [filtered[:,0], filtered[:,1]]
i += len(data)/div
plt.figure(figsize=(15, 30))
plt.subplot(411)
plt.plot(alldata[1][5][0], alldata[1][5][1], 'r', alldata[1][10][0], alldata[1][10][1], 'g', alldata[1][15][0], alldata[1][15][1], 'b', alldata[1][20][0], alldata[1][20][1], 'y')
plt.axhline(y=1, color='black')
plt.legend(['5-bit coefficients', '10-bit coefficients', '15-bit coefficients', '20-bit coefficients'], loc=3)
plt.ylabel("Time taken : KS2/KS1")
plt.title("Sparseness : 1.0")
plt.subplot(412)
plt.plot(alldata[0.75][5][0], alldata[0.75][5][1], 'r', alldata[0.75][10][0], alldata[0.75][10][1], 'g', alldata[0.75][15][0], alldata[0.75][15][1], 'b', alldata[0.75][20][0], alldata[0.75][20][1], 'y')
plt.axhline(y=1, color='black')
plt.legend(['5-bit coefficients', '10-bit coefficients', '15-bit coefficients', '20-bit coefficients'], loc=3)
plt.ylabel("Time taken : KS2/KS1")
plt.title("Sparseness : 0.75")
plt.subplot(413)
plt.plot(alldata[0.5][5][0], alldata[0.5][5][1], 'r', alldata[0.5][10][0], alldata[0.5][10][1], 'g', alldata[0.5][15][0], alldata[0.5][15][1], 'b', alldata[0.5][20][0], alldata[0.5][20][1], 'y')
plt.axhline(y=1, color='black')
plt.legend(['5-bit coefficients', '10-bit coefficients', '15-bit coefficients', '20-bit coefficients'], loc=3)
plt.ylabel("Time taken : KS2/KS1")
plt.title("Sparseness : 0.5")
plt.subplot(414)
plt.plot(alldata[0.75][5][0], alldata[0.75][5][1], 'r', alldata[0.75][10][0], alldata[0.75][10][1], 'g', alldata[0.75][15][0], alldata[0.75][15][1], 'b', alldata[0.75][20][0], alldata[0.75][20][1], 'y')
plt.axhline(y=1, color='black')
plt.legend(['5-bit coefficients', '10-bit coefficients', '15-bit coefficients', '20-bit coefficients'], loc=3)
plt.xlabel("Polynomial Length")
plt.title("Sparseness : 0.25")
plt.ylabel("Time taken : KS2/KS1")
plt.savefig("linear.png")
plt.figure(figsize=(15, 30))
plt.subplot(411)
plt.semilogx(alldata[1][5][0], alldata[1][5][1], 'r', alldata[1][10][0], alldata[1][10][1], 'g', alldata[1][15][0], alldata[1][15][1], 'b', alldata[1][20][0], alldata[1][20][1], 'y')
plt.axhline(y=1, color='black')
plt.legend(['5-bit coefficients', '10-bit coefficients', '15-bit coefficients', '20-bit coefficients'], loc=3)
plt.ylabel("Time taken : KS2/KS1")
plt.title("Sparseness : 1.0")
plt.subplot(412)
plt.semilogx(alldata[0.75][5][0], alldata[0.75][5][1], 'r', alldata[0.75][10][0], alldata[0.75][10][1], 'g', alldata[0.75][15][0], alldata[0.75][15][1], 'b', alldata[0.75][20][0], alldata[0.75][20][1], 'y')
plt.axhline(y=1, color='black')
plt.legend(['5-bit coefficients', '10-bit coefficients', '15-bit coefficients', '20-bit coefficients'], loc=3)
plt.ylabel("Time taken : KS2/KS1")
plt.title("Sparseness : 0.75")
plt.subplot(413)
plt.semilogx(alldata[0.5][5][0], alldata[0.5][5][1], 'r', alldata[0.5][10][0], alldata[0.5][10][1], 'g', alldata[0.5][15][0], alldata[0.5][15][1], 'b', alldata[0.5][20][0], alldata[0.5][20][1], 'y')
plt.axhline(y=1, color='black')
plt.legend(['5-bit coefficients', '10-bit coefficients', '15-bit coefficients', '20-bit coefficients'], loc=3)
plt.ylabel("Time taken : KS2/KS1")
plt.title("Sparseness : 0.5")
plt.subplot(414)
plt.semilogx(alldata[0.75][5][0], alldata[0.75][5][1], 'r', alldata[0.75][10][0], alldata[0.75][10][1], 'g', alldata[0.75][15][0], alldata[0.75][15][1], 'b', alldata[0.75][20][0], alldata[0.75][20][1], 'y')
plt.axhline(y=1, color='black')
plt.legend(['5-bit coefficients', '10-bit coefficients', '15-bit coefficients', '20-bit coefficients'], loc=3)
plt.xlabel("Polynomial Length")
plt.title("Sparseness : 0.25")
plt.ylabel("Time taken : KS2/KS1")
plt.savefig("log.png")
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