anhima.mds - Multidimensional scaling

In [1]:

    

import numpy as np
np.random.seed(42)
import scipy.stats
import itertools
import random
random.seed(42)
import matplotlib.pyplot as plt
%matplotlib inline
import sys
# import anhima
# dev imports
sys.path.insert(0, '..')
%reload_ext autoreload
%autoreload 1
%aimport anhima.sim
%aimport anhima.gt
%aimport anhima.mds
%aimport anhima.dist


    

In [2]:

    

# simulate genotypes with no relatedness
n_variants = 1000
n_samples = 100
labels = [''.join(s) for s in itertools.product('ABCDEFGHIJ', repeat=2)]
ploidy = 2
af_dist = scipy.stats.beta(a=.4, b=.6)
p_missing = 0
genotypes = anhima.sim.simulate_biallelic_genotypes(n_variants, n_samples, af_dist, p_missing, ploidy)
gn = anhima.gt.as_n_alt(genotypes)


    

In [3]:

    

# simulate three sub-populations with relatedness
genotypes_subpop1 = anhima.sim.simulate_relatedness(genotypes[:, :n_samples//2], relatedness=.5, n_iter=1000)
genotypes_subpop2 = anhima.sim.simulate_relatedness(genotypes[:, n_samples//2:], relatedness=.5, n_iter=1000)
genotypes_subpop2a = anhima.sim.simulate_relatedness(genotypes_subpop2[:, n_samples//4:], relatedness=.5, n_iter=500)
genotypes_subpop2b = anhima.sim.simulate_relatedness(genotypes_subpop2[:, :n_samples//4], relatedness=.5, n_iter=500)
genotypes_related = np.concatenate([genotypes_subpop1, genotypes_subpop2a, genotypes_subpop2b], axis=1)
gnr = anhima.gt.as_n_alt(genotypes_related)


    

In [4]:

    

sample_colors = (['red']*50) + (['blue']*25) + (['green']*25)


    

In [5]:

    

# compute pairwise distance
_, s = anhima.dist.pairwise_distance(gn)
_, sr = anhima.dist.pairwise_distance(gnr)


    

In [6]:

    

# fit MDS
t = anhima.mds.smacof(s, random_state=42)
tr = anhima.mds.smacof(sr, random_state=42)


    

In [7]:

    

anhima.mds.plot_coords(t, labels=labels, colors=sample_colors, sizes=40);


    

In [8]:

    

anhima.mds.plot_coords(tr, colors=sample_colors, sizes=40);


    

In [9]:

    

tc = anhima.mds.classical(s)
tcr = anhima.mds.classical(sr)


    

In [10]:

    

anhima.mds.plot_coords(tc, labels=labels, colors=sample_colors, sizes=40);


    

In [11]:

    

anhima.mds.plot_coords(tcr, colors=sample_colors, sizes=40);


    

In [12]: