:py:mod:`evomap.mapping._cmds`
==============================

.. py:module:: evomap.mapping._cmds

.. autoapi-nested-parse::

   Classic (SVD-based) Multidimensional Scaling, as proposed in:

   Torgerson, W.S. Multidimensional scaling: I. Theory and method. Psychometrika 17, 401–419 (1952).

   Thanks to Francis Song, from whom this implementation has borrowed. Source: http://www.nervouscomputer.com/hfs/cmdscale-in-python/



Module Contents
---------------

Classes
~~~~~~~

.. autoapisummary::

   evomap.mapping._cmds.CMDS




.. py:class:: CMDS(n_dims=2)


   .. py:method:: _cmdscale(D, n_dims)
      :staticmethod:

      Classical multidimensional scaling (MDS)

      :param D: Symmetric distance matrix.
      :type D: (n, n) array

      :returns: * **Y** (*(n, p) array*) -- Configuration matrix. Each column represents a dimension. Only the
                  p dimensions corresponding to positive eigenvalues of B are returned.
                  Note that each dimension is only determined up to an overall sign,
                  corresponding to a reflection.
                * **e** (*(n,) array*) -- Eigenvalues of B.


   .. py:method:: fit(X)


   .. py:method:: fit_transform(X)