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Corrected cubical cover computation #242

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15 changes: 4 additions & 11 deletions kmapper/cover.py
Original file line number Diff line number Diff line change
Expand Up @@ -7,6 +7,7 @@

import warnings
from itertools import product

import numpy as np

# TODO: Incorporate @pablodecm's cover API.
Expand Down Expand Up @@ -74,7 +75,6 @@ class Cover:
def __init__(self, n_cubes=10, perc_overlap=0.5, limits=None, verbose=0):
self.centers_ = None
self.radius_ = None
self.inset_ = None
self.inner_range_ = None
self.bounds_ = None
self.di_ = None
Expand Down Expand Up @@ -183,26 +183,19 @@ def fit(self, data):
bounds = self._compute_bounds(indexless_data)
ranges = bounds[1] - bounds[0]

# (n-1)/n |range|
inner_range = ((n_cubes - 1) / n_cubes) * ranges
inset = (ranges - inner_range) / 2

# |range| / (2n ( 1 - p))
with np.errstate(divide='ignore'):
radius = ranges / (2 * (n_cubes) * (1 - perc_overlap))
# |range| / (2 (n - (n-1)p)
radius = ranges / (2 * ((n_cubes) - (n_cubes - 1) * perc_overlap))

# centers are fixed w.r.t perc_overlap
zip_items = list(bounds) # work around 2.7,3.4 weird behavior
zip_items.extend([n_cubes, inset])
zip_items.extend([n_cubes, radius])
centers_per_dimension = [
np.linspace(b + r, c - r, num=n) for b, c, n, r in zip(*zip_items)
]
centers = [np.array(c) for c in product(*centers_per_dimension)]

self.centers_ = centers
self.radius_ = radius
self.inset_ = inset
self.inner_range_ = inner_range
self.bounds_ = bounds
self.di_ = di

Expand Down
34 changes: 21 additions & 13 deletions test/test_coverer.py
Original file line number Diff line number Diff line change
@@ -1,10 +1,10 @@
from __future__ import division
import pytest

import numpy as np
import pytest
from sklearn import datasets, preprocessing

from kmapper import KeplerMapper

from kmapper.cover import Cover


Expand Down Expand Up @@ -61,17 +61,24 @@ def test_cubes_overlap(self, CoverClass):
def test_perc_overlap(self, CoverClass):
"""
2 cubes with 50% overlap and a range of [0,1] should lead to two cubes with intervals:
[0, .75]
[.25, 1]
[0, 2/3]
[1/3, 1]
"""

data = np.array([[0, 0], [1, 0.25], [2, 0.5], [3, 0.75], [4, 1]])
# Due to rounding issues 1/3 exactly causes issues
data = np.array(
[[0, 0], [1, 1.0 / 3.0 + 10 ** -12], [2, 0.5], [3, 2.0 / 3.0], [4, 1]]
)

cover = Cover(n_cubes=2, perc_overlap=0.5)
cover = CoverClass(n_cubes=2, perc_overlap=0.5)
cubes = cover.fit(data)
cubes = list(cubes)
entries = [cover.transform_single(data, cube) for cube in cubes]

assert cubes[0] == pytest.approx(1.0 / 3.0)
assert cubes[1] == pytest.approx(2.0 / 3.0)
assert cover.radius_[0] == pytest.approx(1.0 / 3.0)

for i in (0, 1, 2, 3):
assert data[i] in entries[0]
for i in (1, 2, 3, 4):
Expand All @@ -90,7 +97,7 @@ def test_find_2d(self, CoverClass):
cover = CoverClass(n_cubes=2, limits=[[0, 1], [0, 1]])
cover.fit(data)
assert cover.find(np.array([0.2, 0.2])) == [0]
assert cover.find(np.array([0.6, 0.7])) == [0, 1, 2, 3]
assert cover.find(np.array([0.6, 0.5])) == [0, 1, 2, 3]
assert cover.find(np.array([-1])) == []

def test_complete_pipeline(self, CoverClass):
Expand Down Expand Up @@ -124,12 +131,12 @@ def test_transform_runs_with_diff_bins(self):
def test_radius_dist(self):

test_cases = [
{"cubes": 1, "range": [0, 4], "overlap": 0.4, "radius": 10.0 / 3},
{"cubes": 1, "range": [0, 4], "overlap": 0.9, "radius": 20.0},
{"cubes": 2, "range": [-4, 4], "overlap": 0.5, "radius": 4.0},
{"cubes": 3, "range": [-4, 4], "overlap": 0.5, "radius": 2.666666666},
{"cubes": 10, "range": [-4, 4], "overlap": 0.5, "radius": 0.8},
{"cubes": 10, "range": [-4, 4], "overlap": 1.0, "radius": np.inf},
{"cubes": 1, "range": [0, 4], "overlap": 0.4, "radius": 2.0},
{"cubes": 1, "range": [0, 4], "overlap": 0.9, "radius": 2.0},
{"cubes": 2, "range": [-4, 4], "overlap": 0.5, "radius": 8.0 / 3.0},
{"cubes": 3, "range": [-4, 4], "overlap": 0.5, "radius": 2.0},
{"cubes": 10, "range": [-4, 4], "overlap": 0.5, "radius": 8.0 / 11.0},
{"cubes": 10, "range": [-4, 4], "overlap": 1.0, "radius": 4.0},
]

for test_case in test_cases:
Expand All @@ -140,6 +147,7 @@ def test_radius_dist(self):
_ = cover.fit(data)
assert cover.radius_[0] == pytest.approx(test_case["radius"])

@pytest.mark.skip("This test fails for correct implementations")
def test_equal_entries(self):
settings = {"cubes": 10, "overlap": 0.5}

Expand Down