# Copyright 2019-2020 by Christopher C. Little.
# This file is part of Abydos.
#
# Abydos is free software: you can redistribute it and/or modify
# it under the terms of the GNU General Public License as published by
# the Free Software Foundation, either version 3 of the License, or
# (at your option) any later version.
#
# Abydos is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU General Public License for more details.
#
# You should have received a copy of the GNU General Public License
# along with Abydos. If not, see <http://www.gnu.org/licenses/>.
"""abydos.distance._kuhns_viii.
Kuhns VIII correlation
"""
from ._token_distance import _TokenDistance
__all__ = ['KuhnsVIII']
[docs]class KuhnsVIII(_TokenDistance):
r"""Kuhns VIII correlation.
For two sets X and Y and a population N, Kuhns VIII correlation
:cite:`Kuhns:1965`, the excess of coefficient by the arithmetic mean over
its independence value (E), is
.. math::
corr_{KuhnsVIII}(X, Y) =
\frac{\delta(X, Y)}{|X \cap Y|+\frac{1}{2}\cdot|X \triangle Y|}
where
.. math::
\delta(X, Y) = |X \cap Y| - \frac{|X| \cdot |Y|}{|N|}
In :ref:`2x2 confusion table terms <confusion_table>`, where a+b+c+d=n,
this is
.. math::
corr_{KuhnsVIII} =
\frac{\delta(a+b, a+c)}{a+\frac{1}{2}(b+c)}
where
.. math::
\delta(a+b, a+c) = a - \frac{(a+b)(a+c)}{n}
Notes
-----
The coefficient presented in :cite:`Eidenberger:2014,Morris:2012` as Kuhns'
"Coefficient of arithmetic means" is a significantly different
coefficient, not evidenced in :cite:`Kuhns:1965`.
.. versionadded:: 0.4.0
"""
def __init__(
self,
alphabet=None,
tokenizer=None,
intersection_type='crisp',
**kwargs
):
"""Initialize KuhnsVIII instance.
Parameters
----------
alphabet : Counter, collection, int, or None
This represents the alphabet of possible tokens.
See :ref:`alphabet <alphabet>` description in
:py:class:`_TokenDistance` for details.
tokenizer : _Tokenizer
A tokenizer instance from the :py:mod:`abydos.tokenizer` package
intersection_type : str
Specifies the intersection type, and set type as a result:
See :ref:`intersection_type <intersection_type>` description in
:py:class:`_TokenDistance` for details.
**kwargs
Arbitrary keyword arguments
Other Parameters
----------------
qval : int
The length of each q-gram. Using this parameter and tokenizer=None
will cause the instance to use the QGram tokenizer with this
q value.
metric : _Distance
A string distance measure class for use in the ``soft`` and
``fuzzy`` variants.
threshold : float
A threshold value, similarities above which are counted as
members of the intersection for the ``fuzzy`` variant.
.. versionadded:: 0.4.0
"""
super(KuhnsVIII, self).__init__(
alphabet=alphabet,
tokenizer=tokenizer,
intersection_type=intersection_type,
**kwargs
)
[docs] def corr(self, src, tar):
"""Return the Kuhns VIII correlation of two strings.
Parameters
----------
src : str
Source string (or QGrams/Counter objects) for comparison
tar : str
Target string (or QGrams/Counter objects) for comparison
Returns
-------
float
Kuhns VIII correlation
Examples
--------
>>> cmp = KuhnsVIII()
>>> cmp.corr('cat', 'hat')
0.49489795918367346
>>> cmp.corr('Niall', 'Neil')
0.35667903525046385
>>> cmp.corr('aluminum', 'Catalan')
0.10685650056200824
>>> cmp.corr('ATCG', 'TAGC')
-0.006377551020408163
.. versionadded:: 0.4.0
"""
self._tokenize(src, tar)
a = self._intersection_card()
b = self._src_only_card()
c = self._tar_only_card()
n = self._population_unique_card()
apbmapc = (a + b) * (a + c)
if not apbmapc:
delta_ab = a
else:
delta_ab = a - apbmapc / n
if not delta_ab:
return 0.0
else:
return delta_ab / (a + 0.5 * (b + c))
[docs] def sim(self, src, tar):
"""Return the Kuhns VIII similarity of two strings.
Parameters
----------
src : str
Source string (or QGrams/Counter objects) for comparison
tar : str
Target string (or QGrams/Counter objects) for comparison
Returns
-------
float
Kuhns VIII similarity
Examples
--------
>>> cmp = KuhnsVIII()
>>> cmp.sim('cat', 'hat')
0.663265306122449
>>> cmp.sim('Niall', 'Neil')
0.5711193568336426
>>> cmp.sim('aluminum', 'Catalan')
0.40457100037467214
>>> cmp.sim('ATCG', 'TAGC')
0.32908163265306123
.. versionadded:: 0.4.0
"""
return (0.5 + self.corr(src, tar)) / 1.5
if __name__ == '__main__':
import doctest
doctest.testmod()