01: Standard variational training for mixture model¶

How to train a mixture of multinomials.

import bnpy
import numpy as np
import os

from matplotlib import pylab
import seaborn as sns

FIG_SIZE = (3, 3)
SMALL_FIG_SIZE = (1,1)
pylab.rcParams['figure.figsize'] = FIG_SIZE

Read toy “bars” dataset from file.

dataset_path = os.path.join(bnpy.DATASET_PATH, 'bars_many_per_doc')
dataset = bnpy.data.BagOfWordsData.read_npz(
    os.path.join(dataset_path, 'dataset.npz'))

Make a simple plot of the raw data

X_csr_DV = dataset.getSparseDocTypeCountMatrix()
bnpy.viz.BarsViz.show_square_images(
    X_csr_DV[:10].toarray(), vmin=0, vmax=5)
#pylab.colorbar()
#pylab.clabel('word count')
pylab.tight_layout()

Let’s do one single run of the VB algorithm.

Using 10 clusters and the ‘randexamples’ initializatio procedure.

trained_model, info_dict = bnpy.run(
    dataset, 'FiniteMixtureModel', 'Mult', 'VB',
    output_path='/tmp/bars_many_per_doc/helloworld-K=10/',
    nLap=1000, convergeThr=0.0001,
    K=10, initname='randomlikewang',
    gamma0=50.0, lam=0.1)

First, we can plot the loss function over time We’ll skip the first few iterations, since performance is quite bad.

pylab.figure(figsize=FIG_SIZE)
pylab.plot(info_dict['lap_history'][2:], info_dict['loss_history'][2:], 'k.-')
pylab.xlabel('num. laps')
pylab.ylabel('loss')
pylab.tight_layout()

Setup: Useful function to display learned bar structure over time.

def show_bars_over_time(
        task_output_path=None,
        query_laps=[0, 1, 2, 5, None],
        ncols=10):
    '''
    '''
    nrows = len(query_laps)
    fig_handle, ax_handles_RC = pylab.subplots(
        figsize=(SMALL_FIG_SIZE[0] * ncols, SMALL_FIG_SIZE[1] * nrows),
        nrows=nrows, ncols=ncols, sharex=True, sharey=True)
    for row_id, lap_val in enumerate(query_laps):
        cur_model, lap_val = bnpy.load_model_at_lap(task_output_path, lap_val)
        cur_topics_KV = cur_model.obsModel.getTopics()
        # Plot the current model
        cur_ax_list = ax_handles_RC[row_id].flatten().tolist()
        bnpy.viz.BarsViz.show_square_images(
            cur_topics_KV,
            vmin=0.0, vmax=0.06,
            ax_list=cur_ax_list)
        cur_ax_list[0].set_ylabel("lap: %d" % lap_val)
    pylab.tight_layout()

Show the clusters over time

show_bars_over_time(info_dict['task_output_path'])

Total running time of the script: ( 0 minutes 0.000 seconds)

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