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kAnonymity1.py
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kAnonymity1.py
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import pandas as pd
import matplotlib.pylab as pl
import matplotlib.patches as patches
names = (
'age',
'workclass',
'fnlwgt',
'education',
'education-num',
'marital-status',
'occupation',
'relationship',
'race',
'sex',
'capital-gain',
'capital-loss',
'hours-per-week',
'native-country',
'income',
)
categorical = set((
'workclass',
'education',
'marital-status',
'occupation',
'relationship',
'sex',
'native-country',
'race',
'income',
))
df = pd.read_csv("./data/k-anonymity/adult.all.txt", sep=", ", header=None, names=names, index_col=False, engine='python');
print(df.head())
for name in categorical:
df[name] = df[name].astype('category')
def get_spans(df, partition, scale=None):
spans = {}
for column in df.columns:
if column in categorical:
span = len(df[column][partition].unique())
else:
span = df[column][partition].max()-df[column][partition].min()
if scale is not None:
span = span/scale[column]
spans[column] = span
return spans
full_spans = get_spans(df, df.index)
print(full_spans)
def split(df, partition, column):
dfp = df[column][partition]
if column in categorical:
values = dfp.unique()
lv = set(values[:len(values)//2])
rv = set(values[len(values)//2:])
return dfp.index[dfp.isin(lv)], dfp.index[dfp.isin(rv)]
else:
median = dfp.median()
dfl = dfp.index[dfp < median]
dfr = dfp.index[dfp >= median]
return (dfl, dfr)
def is_k_anonymous(df, partition, sensitive_column, k=3):
if len(partition) < k:
return False
return True
def partition_dataset(df, feature_columns, sensitive_column, scale, is_valid):
finished_partitions = []
partitions = [df.index]
while partitions:
partition = partitions.pop(0)
spans = get_spans(df[feature_columns], partition, scale)
for column, span in sorted(spans.items(), key=lambda x:-x[1]):
lp, rp = split(df, partition, column)
if not is_valid(df, lp, sensitive_column) or not is_valid(df, rp, sensitive_column):
continue
partitions.extend((lp, rp))
break
else:
finished_partitions.append(partition)
return finished_partitions
feature_columns = ['age', 'education-num']
sensitive_column = 'income'
finished_partitions = partition_dataset(df, feature_columns, sensitive_column, full_spans, is_k_anonymous)
print(len(finished_partitions))
def build_indexes(df):
indexes = {}
for column in categorical:
values = sorted(df[column].unique())
indexes[column] = { x : y for x, y in zip(values, range(len(values)))}
return indexes
def get_coords(df, column, partition, indexes, offset=0.1):
if column in categorical:
sv = df[column][partition].sort_values()
l, r = indexes[column][sv[sv.index[0]]], indexes[column][sv[sv.index[-1]]]+1.0
else:
sv = df[column][partition].sort_values()
next_value = sv[sv.index[-1]]
larger_values = df[df[column] > next_value][column]
if len(larger_values) > 0:
next_value = larger_values.min()
l = sv[sv.index[0]]
r = next_value
l -= offset
r += offset
return l, r
def get_partition_rects(df, partitions, column_x, column_y, indexes, offsets=[0.1, 0.1]):
rects = []
for partition in partitions:
xl, xr = get_coords(df, column_x, partition, indexes, offset=offsets[0])
yl, yr = get_coords(df, column_y, partition, indexes, offset=offsets[1])
rects.append(((xl, yl),(xr, yr)))
return rects
def get_bounds(df, column, indexes, offset=1.0):
if column in categorical:
return 0-offset, len(indexes[column])+offset
return df[column].min()-offset, df[column].max()+offset
indexes = build_indexes(df)
column_x, column_y = feature_columns[:2]
rects = get_partition_rects(df, finished_partitions, column_x, column_y, indexes, offsets=[0.0, 0.0])
print(rects[:10])
def plot_rects(df, ax, rects, column_x, column_y, edgecolor='black', facecolor='none'):
for (xl, yl),(xr, yr) in rects:
ax.add_patch(patches.Rectangle((xl,yl),xr-xl,yr-yl,linewidth=1,edgecolor=edgecolor,facecolor=facecolor, alpha=0.5))
ax.set_xlim(*get_bounds(df, column_x, indexes))
ax.set_ylim(*get_bounds(df, column_y, indexes))
ax.set_xlabel(column_x)
ax.set_ylabel(column_y)
pl.figure(figsize=(20,20))
ax = pl.subplot(111)
plot_rects(df, ax, rects, column_x, column_y, facecolor='r')
pl.scatter(df[column_x], df[column_y])
pl.show()
def agg_categorical_column(series):
return [','.join(set(series))]
def agg_numerical_column(series):
return [series.mean()]
def build_anonymized_dataset(df, partitions, feature_columns, sensitive_column, max_partitions=None):
aggregations = {}
for column in feature_columns:
if column in categorical:
aggregations[column] = agg_categorical_column
else:
aggregations[column] = agg_numerical_column
rows = []
for i, partition in enumerate(partitions):
if i % 100 == 1:
print("Finished {} partitions...".format(i))
if max_partitions is not None and i > max_partitions:
break
grouped_columns = df.loc[partition].agg(aggregations, squeeze=False)
sensitive_counts = df.loc[partition].groupby(sensitive_column).agg({sensitive_column : 'count'})
values = grouped_columns.iloc[0].to_dict()
for sensitive_value, count in sensitive_counts[sensitive_column].items():
if count == 0:
continue
values.update({
sensitive_column : sensitive_value,
'count' : count,
})
rows.append(values.copy())
return pd.DataFrame(rows)
dfn = build_anonymized_dataset(df, finished_partitions, feature_columns, sensitive_column)
print(dfn.sort_values(feature_columns+[sensitive_column]))
def diversity(df, partition, column):
return len(df[column][partition].unique())
def is_l_diverse(df, partition, sensitive_column, l=2):
return diversity(df, partition, sensitive_column) >= l
finished_l_diverse_partitions = partition_dataset(df, feature_columns, sensitive_column, full_spans, lambda *args: is_k_anonymous(*args) and is_l_diverse(*args))
print(len(finished_l_diverse_partitions))
column_x, column_y = feature_columns[:2]
l_diverse_rects = get_partition_rects(df, finished_l_diverse_partitions, column_x, column_y, indexes, offsets=[0.0, 0.0])
pl.figure(figsize=(20,20))
ax = pl.subplot(111)
plot_rects(df, ax, l_diverse_rects, column_x, column_y, edgecolor='b', facecolor='b')
plot_rects(df, ax, rects, column_x, column_y, facecolor='r')
pl.scatter(df[column_x], df[column_y])
pl.show()
dfl = build_anonymized_dataset(df, finished_l_diverse_partitions, feature_columns, sensitive_column)
print(dfl.sort_values([column_x, column_y, sensitive_column]))
global_freqs = {}
total_count = float(len(df))
group_counts = df.groupby(sensitive_column)[sensitive_column].agg('count')
for value, count in group_counts.to_dict().items():
p = count/total_count
global_freqs[value] = p
print(global_freqs)
def t_closeness(df, partition, column, global_freqs):
total_count = float(len(partition))
d_max = None
group_counts = df.loc[partition].groupby(column)[column].agg('count')
for value, count in group_counts.to_dict().items():
p = count/total_count
d = abs(p-global_freqs[value])
if d_max is None or d > d_max:
d_max = d
return d_max
def is_t_close(df, partition, sensitive_column, global_freqs, p=0.2):
if not sensitive_column in categorical:
raise ValueError("this method only works for categorical values")
return t_closeness(df, partition, sensitive_column, global_freqs) <= p
finished_t_close_partitions = partition_dataset(df, feature_columns, sensitive_column, full_spans, lambda *args: is_k_anonymous(*args) and is_t_close(*args, global_freqs))
print(len(finished_t_close_partitions))
dft = build_anonymized_dataset(df, finished_t_close_partitions, feature_columns, sensitive_column)
print(dft.sort_values([column_x, column_y, sensitive_column]))
column_x, column_y = feature_columns[:2]
t_close_rects = get_partition_rects(df, finished_t_close_partitions, column_x, column_y, indexes, offsets=[0.0, 0.0])
pl.figure(figsize=(20,20))
ax = pl.subplot(111)
plot_rects(df, ax, t_close_rects, column_x, column_y, edgecolor='b', facecolor='b')
pl.scatter(df[column_x], df[column_y])
pl.show()