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"""
Visualize metric data from neural network.
"""
from __future__ import division
from math import ceil, floor, log10
from itertools import islice
from argparse import ArgumentParser
import numpy as np
import matplotlib.pyplot as plt
from matplotlib.widgets import Button
from matplotlib.text import Annotation
from mpl_toolkits.mplot3d import Axes3D
from network.tower import TowerNetwork
from data import vec, NUM_BASES, generate_kmers, levenshtein,\
get_nucleotide_code
COLOR = 'blue'
SCATTER = 'scatter'
DISTRIBUTION = 'distribution'
################################################################################
# visualize embedding (scatter plot)
################################################################################
def plot_graph(model_file, dim):
"""
Show plot from neural network model.
:param dim: 1,2 or 3(D)
:param model_file: path to model of neural network.
"""
if dim not in [1, 2, 3]:
raise Exception('Illegal dimension. Must be 1, 2 or 3.')
# restore neural network
sess, net = TowerNetwork.load(model_file)
batch_size = 180
num_kmers = NUM_BASES**net.kmer_length
# 0: x values, 1: y values, 2: z values
points = [[] for _ in range(dim)]
if dim == 1:
points.append([0]*num_kmers)
# generate all possible kmers
kmers = generate_kmers(net.kmer_length)
for _ in range(int(ceil(num_kmers/batch_size))):
# calculate embbeding
batch = [vec(kmer) for kmer in islice(kmers, batch_size)]
emb = sess.run(net.out, feed_dict={net.x: batch, net.keep_prob: 1.0})
for i in range(dim):
points[i].extend(emb[:, i])
# plot datapoints
title = 'Embedding of all possible {0}-mers'
fig = plt.figure()
fig.suptitle(title.format(net.kmer_length))
if dim == 3:
axe = fig.add_subplot(111, projection='3d')
else:
axe = fig.add_subplot(111)
axe.scatter(*points, c=COLOR, marker='o', picker=True)
def on_pick(event):
"""
Show label for selected point.
:param event: click event
"""
# indices of selected dots (multiple, if they are close to each other)
i = int(event.ind[0])
# skip to right k-mer and create a readable label
kmers = generate_kmers(net.kmer_length)
next(islice(kmers, i, i), None)
label = get_nucleotide_code(next(kmers))
# show label
pos = (event.mouseevent.xdata, event.mouseevent.ydata)
axe.add_artist(Annotation(label, xy=pos, xycoords='data'))
axe.figure.canvas.draw_idle()
def on_clear_all(event):
"""
Clear all labels.
:param event: click event
"""
axe.cla()
axe.scatter(*points, c=COLOR, marker='o', picker=True)
axe.figure.canvas.draw_idle()
# add click handler
fig.canvas.mpl_connect('pick_event', on_pick)
# add clear button
axe_clear_all = plt.axes([0.0, 0.0, 0.1, 0.05])
bt_clear_all = Button(axe_clear_all, 'Clear all')
bt_clear_all.on_clicked(on_clear_all)
# show plot
plt.show()
################################################################################
# evaluate learned distance measure (bar plot)
################################################################################
def visualize_distribution(model_file, num_cols=2):
"""
Visualize average distance between two kmers with edit distance specific
edit distance.
:param model_file: path to model of neural network
:param num_cols: number of columns for the created figure
"""
# restore neural network
sess, net = TowerNetwork.load(model_file)
# save embbeding points
batch_size = 180
# index i: all embedded distances for kmers with edit distance i+1
values = [[] for _ in range(net.kmer_length)]
# pairs: (NUM_BASES^kmer_length+2-1) choose 2 - NUM_BASES^kmer_length
for i, k in enumerate(generate_kmers(net.kmer_length)):
# embbeding for reference kmer
emb = sess.run(net.out, feed_dict={net.x: [vec(k)], net.keep_prob: 1.0})
num_kmers = NUM_BASES**net.kmer_length
kmers = generate_kmers(net.kmer_length)
# skip pairs we already calculated
# e.g (0,0,0), (1,0,0) is the same as (1,0,0), (0,0,0)
next(islice(kmers, i+1, i+1), None)
for _ in range(int(ceil(num_kmers/batch_size))):
batch = list(islice(kmers, batch_size))
if len(batch) == 0:
continue
input_x = list(map(vec, batch))
emb_batch = sess.run(net.out, feed_dict={net.x: input_x,
net.keep_prob: 1.0})
for j, k_2 in enumerate(batch):
dis = levenshtein(k, k_2)
# calculate euclidean distance for data points
values[dis-1].append(np.linalg.norm(emb-emb_batch[j]))
# show results as bar plot
fig = plt.figure()
title = 'Embbeded distances for {0}-mer pairs'
fig.suptitle(title.format(net.kmer_length))
step_size = 0.1
# x: number to round, p: step to round to nearest
nearest = lambda x, p: round(round(x / p) * p, -int(floor(log10(p))))
nearest_num = lambda x: nearest(x, step_size)
# xticks values
x_max = np.amax([np.amax(val) for val in values])
x_val = np.arange(0.0, nearest_num(x_max)+step_size, step_size)
# configure sub plots
ind = np.arange(len(x_val))
ecl = ['black']*len(x_val)
lwidth = [0.5]*len(x_val)
num_rows = int(ceil(net.kmer_length/num_cols))
title_str = 'edit distance: {0:d} median: {1:.2f} avg: {2:.2f} std: {3:.2f}'
# generate subplots
for i, val in enumerate(values):
# mean and standard deviation
mean = np.median(val)
avg = np.average(val)
std = np.std(val)
# round values to easily count them
val = list(map(nearest_num, val))
y_val = [val.count(x) for x in x_val]
# create bar plot
axe = fig.add_subplot(int('{0}{1}{2}'.format(num_rows, num_cols, i+1)))
axe.set_xlabel('embedded distance')
axe.set_ylabel('amount of k-mers')
axe.bar(ind, y_val, width=0.9, edgecolor=ecl, linewidth=lwidth,
color=COLOR, align='center')
axe.set_xticks(ind)
axe.set_xticklabels(['' if j%2 else x for j, x in enumerate(x_val)])
axe.set_title(title_str.format(i+1, mean, avg, std))
# show plot
plt.show()
################################################################################
# main function
################################################################################
if __name__ == '__main__':
parser = ArgumentParser()
# scatter only
parser.add_argument('-d', '--dimension',
help="dimension of the scatter plot as integer"\
" 1, 2, 3(D) [scatter only]",
choices=[1, 2, 3], type=int, default=3)
# distribution only
parser.add_argument('-c', '--columns',
help="number of aligned subplots per row"\
" [distribution only]",
type=int, default=2)
# general
parser.add_argument('-p', '--plot_type',
help="type of plot to be drawn",
choices=[SCATTER, DISTRIBUTION],
default='scatter',
type=str)
parser.add_argument('model_file',
help="path to the trained neural network model",
type=str)
args = parser.parse_args()
if args.plot_type == SCATTER:
plot_graph(args.model_file, args.dimension)
elif args.plot_type == DISTRIBUTION:
visualize_distribution(args.model_file, args.columns)