/usr/lib/python2.7/dist-packages/pebl/discretizer.py is in python-pebl 1.0.2-4.
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 | """ Collection of data discretization algorithms."""
import numpy as N
from util import as_list
import data
def maximum_entropy_discretize(indata, includevars=None, excludevars=[], numbins=3):
"""Performs a maximum-entropy discretization of data in-place.
Requirements for this implementation:
1. Try to make all bins equal sized (maximize the entropy)
2. If datum x==y in the original dataset, then disc(x)==disc(y)
For example, all datapoints with value 3.245 discretize to 1
even if it violates requirement 1.
3. Number of bins reflects only the non-missing data.
Example:
input: [3,7,4,4,4,5]
output: [0,1,0,0,0,1]
Note that all 4s discretize to 0, which makes bin sizes unequal.
Example:
input: [1,2,3,4,2,1,2,3,1,x,x,x]
output: [0,1,2,2,1,0,1,2,0,0,0,0]
Note that the missing data ('x') gets put in the bin with 0.0.
"""
# includevars can be an atom or list
includevars = as_list(includevars)
# determine the variables to discretize
includevars = includevars or range(indata.variables.size)
includevars = [v for v in includevars if v not in excludevars]
for v in includevars:
# "_nm" means "no missing"
vdata = indata.observations[:,v]
vmiss = indata.missing[:,v]
vdata_nm = vdata[-vmiss]
argsorted = vdata_nm.argsort()
if len(vdata_nm):
# Find bin edges (cutpoints) using no-missing
binsize = len(vdata_nm)//numbins
binedges = [vdata_nm[argsorted[binsize*b - 1]] for b in range(numbins)][1:]
# Discretize full data. Missings get added to bin with 0.0.
indata.observations[:,v] = N.searchsorted(binedges, vdata)
oldvar = indata.variables[v]
newvar = data.DiscreteVariable(oldvar.name, numbins)
newvar.__dict__.update(oldvar.__dict__) # copy any other data attached to variable
newvar.arity = numbins
indata.variables[v] = newvar
# if discretized all variables, then cast observations to int
if len(includevars) == indata.variables.size:
indata.observations = indata.observations.astype(int)
return indata
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