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import numpy as np | ||
import matplotlib.pyplot as plt | ||
from scipy.stats.stats import pearsonr | ||
from scipy import stats | ||
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coord_font = {'family' : 'serif', | ||
'color' : 'darkred', | ||
'weight' : 'normal', | ||
'size' : 13, | ||
} | ||
######################### | ||
# figure a MemWordCount | ||
######################### | ||
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fg=plt.subplot(2,4,1) | ||
records = [1, 1885, 3769, 5653, 7537, 9425, 9425] | ||
objs = [0, 92036792, 174789544, 259954488, 345406000, 420835528, 423091448] | ||
for i in range(0, len(objs)): | ||
objs[i] = objs[i] / 1024 / 1024 | ||
plt.plot(records, objs, 'bo-') | ||
plt.xlabel('Map Input Records $(\\times 1k)$', fontsize = 13) | ||
plt.ylabel('Size(HashMap) (MB)', fontsize = 13) | ||
plt.xticks((np.arange(10)+1)*1000, (np.arange(10)+1)) | ||
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plt.title('a: MemWordCount-map()') | ||
plt.grid(color='gray') | ||
plt.annotate('p = 0.99 \nrObj = 2.15MB \ny = 0.043 * x + 4.6', xy=(1000, 365), xycoords='data', | ||
xytext=(0, 0), textcoords='offset points', | ||
#bbox=dict(boxstyle="round", fc="0.8"), | ||
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) | ||
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plt.annotate('Large accumulated results', xy=(2500, 50), xycoords='data', | ||
xytext=(0, 0), textcoords='offset points', | ||
bbox=dict(boxstyle="round", fc="0.8"), | ||
) | ||
print('pearson in MemWordCount = ', pearsonr(records[0:len(records) - 1], objs[0:len(objs) - 1])) | ||
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x = np.array(records[0:len(records) - 1]) | ||
y = np.array(objs[0:len(objs) - 1]) | ||
slope, intercept, r_value, p_value, slope_std_error = stats.linregress(x, y) | ||
predict_y = intercept + slope * x | ||
print(intercept, slope) | ||
#plt.plot(x, predict_y, 'k-') | ||
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######################### | ||
# figure b NLPLemmatizer | ||
######################### | ||
fg=plt.subplot(2,4,2) | ||
records = [1, 3, 5, 7, 9, 9] | ||
objs = [13464, 14720, 14720, 14720, 14720, 402918776] | ||
for i in range(0, len(objs)): | ||
objs[i] = objs[i] / 1024 / 1024 | ||
plt.plot(records, objs, 'bo-') | ||
plt.xlabel('Map Input Records', fontsize = 13) | ||
plt.ylabel('Size(objects in map()) (MB)', fontsize = 13) | ||
plt.xticks((np.arange(10)+1), (np.arange(10)+1)) | ||
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plt.annotate('rObj = 385MB', xy=(2, 350), xycoords='data', | ||
xytext=(0, 0), textcoords='offset points', | ||
#bbox=dict(boxstyle="round", fc="0.8"), | ||
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) | ||
plt.annotate('Large intermediate results', xy=(2, 45), xycoords='data', | ||
xytext=(0, 0), textcoords='offset points', | ||
bbox=dict(boxstyle="round", fc="0.8"), | ||
) | ||
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plt.grid(color='gray') | ||
plt.title('b: NLP-Lemmatizer-map()') | ||
print('pearson in NLPLemmatizer = ', pearsonr(records[0:len(records)-1], objs[0:len(objs)-1])) | ||
x = np.array(records[0:len(records) - 1]) | ||
y = np.array(objs[0:len(objs) - 1]) | ||
slope, intercept, r_value, p_value, slope_std_error = stats.linregress(x, y) | ||
predict_y = intercept + slope * x | ||
print(intercept, slope) | ||
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###################### | ||
# figure c PigMapJoin | ||
###################### | ||
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plt.subplot(2,4,3) | ||
mapFileBytesRead = [0, 63746048, 135704576, 206819328, 244887552, 251080704] | ||
for i in range(0, len(mapFileBytesRead)): | ||
mapFileBytesRead[i] = mapFileBytesRead[i] / 1024 / 1024 | ||
uObjHashMap = [0, 501211128, 693551104, 1028338784, 1186304896, 1221481328] | ||
for i in range(0, len(uObjHashMap)): | ||
uObjHashMap[i] = uObjHashMap[i] / 1024 / 1024 | ||
plt.plot(mapFileBytesRead, uObjHashMap, 'bo-') | ||
plt.ylabel('Size(HashMap) (MB)', fontsize = 13) | ||
plt.xlabel('Bytes Read from Local File (MB)', fontsize = 13) | ||
plt.title('c: PigMapJoin-map()') | ||
plt.grid(color='gray') | ||
plt.annotate('p = 0.99 \ny = 4.56 * x + 82.7', xy=(25, 1000), xycoords='data', | ||
xytext=(0, 0), textcoords='offset points', | ||
#bbox=dict(boxstyle="round", fc="0.8"), | ||
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) | ||
plt.annotate('Large external data', xy=(110, 130), xycoords='data', | ||
xytext=(0, 0), textcoords='offset points', | ||
bbox=dict(boxstyle="round", fc="0.8"), | ||
) | ||
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print('pearson in PigMapJoin = ', pearsonr(mapFileBytesRead, uObjHashMap)) | ||
x = np.array(mapFileBytesRead) | ||
y = np.array(uObjHashMap) | ||
slope, intercept, r_value, p_value, slope_std_error = stats.linregress(x, y) | ||
predict_y = intercept + slope * x | ||
print(intercept, slope) | ||
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###################### | ||
# figure d Mahout-classifier | ||
###################### | ||
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plt.subplot(2,4,4) | ||
records = [0, 30193493, 32565153, 61818883, 71302477, 104461660, 116007939] | ||
for i in range(0, len(records)): | ||
records[i] = records[i] / 1024 / 1024 | ||
objs = [0, 99259664, 116554032, 200828464, 219277040, 393230760, 426268640] | ||
for i in range(0, len(objs)): | ||
objs[i] = objs[i] / 1024 / 1024 | ||
plt.plot(records, objs, 'bo-') | ||
plt.ylabel('Size(objects in map()) (MB)', fontsize = 13) | ||
plt.xlabel('Bytes Read from Local File (MB)', fontsize = 13) | ||
plt.title('d: Mahout-classifier-map()') | ||
plt.grid(color='gray') | ||
plt.annotate('p = 0.99 \ny = 3.70 * x - 11.7', xy=(15, 375), xycoords='data', | ||
xytext=(0, 0), textcoords='offset points', | ||
#bbox=dict(boxstyle="round", fc="0.8"), | ||
) | ||
plt.annotate('Large external data', xy=(55, 50), xycoords='data', | ||
xytext=(0, 0), textcoords='offset points', | ||
bbox=dict(boxstyle="round", fc="0.8"), | ||
) | ||
print('pearson in Mahout-classifier = ', pearsonr(records, objs)) | ||
x = np.array(records) | ||
y = np.array(objs) | ||
slope, intercept, r_value, p_value, slope_std_error = stats.linregress(x, y) | ||
predict_y = intercept + slope * x | ||
print(intercept, slope) | ||
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########################### | ||
# figure e Count(distinct1)-map | ||
########################### | ||
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fg=plt.subplot(2,4,5) | ||
records = [1, 149587, 299173, 448759, 598345, 747932, 747932] | ||
objs = [0, 62506440, 114967480, 140306040, 162076232, 186186928, 388068360] | ||
for i in range(0, len(objs)): | ||
objs[i] = objs[i] / 1024 / 1024 | ||
plt.plot(records, objs, 'bo-') | ||
plt.xlabel('Combine Input Records $(\\times 1k)$', fontsize = 13) | ||
plt.ylabel('Size(objects in combine()) (MB)', fontsize = 13) | ||
plt.xticks((np.arange(8)+1)*100000,(np.arange(8)+1)*100) | ||
# plt.annotate(' Explosion of \n intermediate\n computing\n result', xy=(727000, 110), xycoords='data', | ||
# xytext=(-140, -10), textcoords='offset points', | ||
# bbox=dict(boxstyle="round", fc="0.8"), | ||
# arrowprops=dict(arrowstyle="fancy", | ||
# fc="0.6", ec="none", | ||
# connectionstyle="angle3,angleA=0,angleB=-80"), | ||
# ) | ||
plt.annotate('p = 0.97 \nIn 263rd group \nrObj = 96.2MB \ncObj = 0MB \ny = 0.000229 * x + 20.4', xy=(90000, 260), xycoords='data', | ||
xytext=(0, 0), textcoords='offset points', | ||
#bbox=dict(boxstyle="round", fc="0.8"), | ||
) | ||
plt.annotate('Large accumulated results\nLarge intermediate results', xy=(250000, 20), xycoords='data', | ||
xytext=(0, 0), textcoords='offset points', | ||
bbox=dict(boxstyle="round", fc="0.8"), | ||
) | ||
plt.grid(color='gray') | ||
plt.title('e: Count(distinct)1-combine()') | ||
print('pearson in Count(distinct)1 = ', pearsonr(records[0:len(records)-1], objs[0:len(objs)-1])) | ||
x = np.array(records[0:len(records) - 1]) | ||
y = np.array(objs[0:len(objs) - 1]) | ||
slope, intercept, r_value, p_value, slope_std_error = stats.linregress(x, y) | ||
predict_y = intercept + slope * x | ||
print(intercept, slope) | ||
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########################### | ||
# figure f Count(distinct1)-reduce | ||
########################### | ||
plt.subplot(2,4,6) | ||
records = [1, 5, 9, 13, 17, 21, 21] | ||
objs = [0,101259576, 246406095, 298697037, 408942349, 503025192, 1050166065] | ||
for i in range(0, len(objs)): | ||
objs[i] = objs[i] / 1024 / 1024 | ||
plt.plot(records, objs, 'bo-') | ||
plt.xlabel('Combine Input Records', fontsize = 13) | ||
#plt.yticks(np.arange(9)*25) | ||
plt.ylabel('Size(objects in combine()) (MB)', fontsize = 13) | ||
plt.title('f: Count(distinct)2-combine()') | ||
plt.annotate('Large accumulated results\nLarge intermediate results', xy=(8, 50), xycoords='data', | ||
xytext=(0, 0), textcoords='offset points', | ||
bbox=dict(boxstyle="round", fc="0.8"), | ||
) | ||
plt.grid(color='gray') | ||
print('pearson in Total Count(distinct)2 = ', pearsonr(records[0:len(records)-1], objs[0:len(objs)-1])) | ||
x = np.array(records[0:len(records) - 1]) | ||
y = np.array(objs[0:len(objs) - 1]) | ||
slope, intercept, r_value, p_value, slope_std_error = stats.linregress(x, y) | ||
predict_y = intercept + slope * x | ||
print(intercept, slope) | ||
plt.annotate('p = 0.99 \nIn 1st group \nrObj = 855.6MB \ncObj = 0MB \ny = 23.78 * x - 13.9', xy=(3, 780), xycoords='data', | ||
xytext=(0, 0), textcoords='offset points', | ||
#bbox=dict(boxstyle="round", fc="0.8"), | ||
) | ||
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########################### | ||
# figure g ProcessFreebase | ||
########################### | ||
fg=plt.subplot(2,4,7) | ||
records = [1, 1068023, 2136045, 3204067, 4272089, 5340116, 6364863, 6364863] | ||
objs = [0, 184549440, 366073088, 549082552, 734379208, 922989280, 1094168776, 1094241536] | ||
for i in range(0, len(objs)): | ||
objs[i] = objs[i] / 1024 / 1024 | ||
plt.plot(records, objs, 'bo-') | ||
plt.xlabel('Reduce Input Records $(\\times 10k)$', fontsize = 13) | ||
plt.ylabel('Size(ArrayList) (MB)', fontsize = 13) | ||
plt.xticks((np.arange(6)+1)*1000000, (np.arange(12)+1)*100) | ||
plt.title('g: ProcessFreebase-reduce()') | ||
plt.annotate('Large accumulated results', xy=(2000000, 100), xycoords='data', | ||
xytext=(0, 0), textcoords='offset points', | ||
bbox=dict(boxstyle="round", fc="0.8"), | ||
) | ||
plt.grid(color='gray') | ||
print('pearson in ReduceJoin = ', pearsonr(records[0:len(records)-1], objs[0:len(objs)-1])) | ||
x = np.array(records[0:len(records) - 1]) | ||
y = np.array(objs[0:len(objs) - 1]) | ||
slope, intercept, r_value, p_value, slope_std_error = stats.linregress(x, y) | ||
predict_y = intercept + slope * x | ||
print(intercept, slope) | ||
plt.annotate('p = 0.99 \nIn 1st group\nrObj = 71KB \ncObj = 0MB \ny = 0.000164 * x - 0.53', xy=(900000, 800), xycoords='data', | ||
xytext=(0, 0), textcoords='offset points', | ||
#bbox=dict(boxstyle="round", fc="0.8"), | ||
) | ||
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########################### | ||
# figure h CooccurMatrix | ||
########################### | ||
plt.subplot(2,4,8) | ||
records1 = [1, 4, 7, 10, 13, 17, 17] | ||
objs1 = [0, 89160424, 146957744, 184394120, 219994928, 300900952, 422184304] | ||
for i in range(0, len(objs1)): | ||
objs1[i] = objs1[i] / 1024 / 1024 | ||
#plt.text(records1[i], objs1[i], '(%d,%.1f)'%(records1[i], objs1[i]), coord_font) | ||
plt.plot(records1, objs1, 'bo-') | ||
plt.xlabel('Reduce Input Records', fontsize = 13) | ||
plt.ylabel('Size(String2IntOpenHashMap) (MB)', fontsize = 13) | ||
plt.title('h: CooccurMatrix-reduce()') | ||
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plt.annotate('Large accumulated results\nLarge intermediate results', xy=(5, 20), xycoords='data', | ||
xytext=(0, 0), textcoords='offset points', | ||
bbox=dict(boxstyle="round", fc="0.8"), | ||
) | ||
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plt.grid(color='gray') | ||
print('pearson in CooccurMatrix = ', pearsonr(records1[0:len(records1)-1], objs1[0:len(objs1)-1])) | ||
x = np.array(records1[0:len(records1) - 1]) | ||
y = np.array(objs1[0:len(objs1) - 1]) | ||
slope, intercept, r_value, p_value, slope_std_error = stats.linregress(x, y) | ||
predict_y = intercept + slope * x | ||
print(intercept, slope) | ||
plt.annotate('p = 0.98 \nIn 3897853rd group\nrObj = 115.7MB \ncObj = 0MB \ny = 16.76 * x + 4.40', xy=(2, 295), xycoords='data', | ||
xytext=(0, 0), textcoords='offset points', | ||
#bbox=dict(boxstyle="round", fc="0.8"), | ||
) | ||
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plt.show() | ||
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