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Simple Sequence Segmenting | ||
========================== | ||
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This repository contains Python code I wrote for segmenting 1-D time series. In other words, | ||
it can be used for transforming a time series into a piecewise linear represenation. | ||
The algorithms are Python implementations of the "classical" algorithms, as described in | ||
[An Online Algorithm for Segmenting Time Series][keogh], including: | ||
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- the sliding window algorithm; | ||
- the top-down algorithm; and | ||
- the bottom-up algorithm. | ||
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The code is *not* optimized for performance in any way, but I've found it useful for | ||
experimenting and data exploration. | ||
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Requirements | ||
------------ | ||
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The segmenting algorithms use NumPy's least squares fitting routine, so naturally it depends on NumPy. | ||
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Example | ||
------- | ||
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You can run the code to see example output by running the example.py script. The script | ||
requires [matplotlib][mpl] to display the plots. | ||
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The example uses ECG data I found on an [ECG data site][ecg]. | ||
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References | ||
---------- | ||
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[keogh]: http://www.cs.ucr.edu/~eamonn/icdm-01.pdf | ||
[numpy]: http://numpy.scipy.org | ||
[mpl]: http://matplotlib.sourceforge.net | ||
[ecg]: http://myweb.msoe.edu/~martynsc/signals/ecg/ecg.html |
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from matplotlib.pylab import gca, figure, plot, subplot, title, xlabel, ylabel, xlim,show | ||
from matplotlib.lines import Line2D | ||
import segment | ||
import fit | ||
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def draw_plot(data,plot_title): | ||
plot(range(len(data)),data,alpha=0.8,color='red') | ||
title(plot_title) | ||
xlabel("Samples") | ||
ylabel("Signal") | ||
xlim((0,len(data)-1)) | ||
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def draw_segments(segments): | ||
ax = gca() | ||
for segment in segments: | ||
line = Line2D((segment[0],segment[2]),(segment[1],segment[3])) | ||
ax.add_line(line) | ||
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with open("example_data/16265-normalecg.txt") as f: | ||
file_lines = f.readlines() | ||
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data = [float(x.split("\t")[2].strip()) for x in file_lines[100:320]] | ||
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max_error = 0.005 | ||
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#sliding window with regression | ||
figure() | ||
segments = segment.slidingwindowsegment(data, fit.regression, fit.sumsquared_error, max_error) | ||
draw_plot(data,"Sliding window with regression") | ||
draw_segments(segments) | ||
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#bottom-up with regression | ||
figure() | ||
segments = segment.bottomupsegment(data, fit.regression, fit.sumsquared_error, max_error) | ||
draw_plot(data,"Bottom-up with regression") | ||
draw_segments(segments) | ||
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#top-down with regression | ||
figure() | ||
segments = segment.topdownsegment(data, fit.regression, fit.sumsquared_error, max_error) | ||
draw_plot(data,"Top-down with regression") | ||
draw_segments(segments) | ||
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#sliding window with simple interpolation | ||
figure() | ||
segments = segment.slidingwindowsegment(data, fit.interpolate, fit.sumsquared_error, max_error) | ||
draw_plot(data,"Sliding window with simple interpolation") | ||
draw_segments(segments) | ||
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#bottom-up with simple interpolation | ||
figure() | ||
segments = segment.bottomupsegment(data, fit.interpolate, fit.sumsquared_error, max_error) | ||
draw_plot(data,"Bottom-up with simple interpolation") | ||
draw_segments(segments) | ||
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#top-down with simple interpolation | ||
figure() | ||
segments = segment.topdownsegment(data, fit.interpolate, fit.sumsquared_error, max_error) | ||
draw_plot(data,"Top-down with simple interpolation") | ||
draw_segments(segments) | ||
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show() | ||
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