From bc4f763f988b46baa2b3bd5f9e47daec9ba67a65 Mon Sep 17 00:00:00 2001 From: Brady McDonough Date: Tue, 25 Apr 2023 20:34:24 -0600 Subject: [PATCH] Change to a hostable format --- 1-STUMPY-basics/Steamgen dataset.html | 15096 ------------------------ md/Steamgen dataset.md | 230 + md/output_15_0.png | Bin 0 -> 154684 bytes md/output_16_0.png | Bin 0 -> 153975 bytes 4 files changed, 230 insertions(+), 15096 deletions(-) delete mode 100644 1-STUMPY-basics/Steamgen dataset.html create mode 100644 md/Steamgen dataset.md create mode 100644 md/output_15_0.png create mode 100644 md/output_16_0.png diff --git a/1-STUMPY-basics/Steamgen dataset.html b/1-STUMPY-basics/Steamgen dataset.html deleted file mode 100644 index 9334cf0..0000000 --- a/1-STUMPY-basics/Steamgen dataset.html +++ /dev/null @@ -1,15096 +0,0 @@ - - - - - -Steamgen dataset - - - - - - - - - - - - - - - - - - - - - -
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+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
drum pressureexcess oxygenwater levelsteam flow
0320.082392.5067740.0327019.302970
1321.710992.5459080.2847999.662621
2320.913312.3605620.20365210.990955
3325.002520.0270540.32618712.430107
+
+ + + +Automates the process of marking a motif or discord. Note that extracting a discord (or radically different sample) from a matrix profile is the same process as extracting a motif but with the matrix profile in reverse order allowing us to generalize into the threshold_extraction function. This function is also capable of marking every repeat in a motif group, rather than simply taking the first two values. + + +```python +def threshold_extraction(op, cmp, profile, motif_order, window_width, threshold): + assert(0 < threshold < 1.0) + closest = profile[motif_order[0], 0] + cutoff = op(closest, (closest * threshold)) + rv = [] + + for obs in motif_order: + if cmp(profile[obs,0], cutoff): + if not (any(map(lambda i: abs(i - obs) < window_width, rv))): + rv.append(obs) + else: + # If two motifs overlap it's possible the window is too small? + # Further criteria needed for that... + pass + else: + break + return rv + +def get_motifs(profile, motif_order, window_width, threshold): + return threshold_extraction(lambda a, b: a + b + ,lambda a, b: a < b + ,profile + ,motif_order + ,window_width + ,threshold) + +def get_discords(profile, motif_order, window_width, threshold): + return threshold_extraction(lambda a, b: a - b + ,lambda a, b: a > b + ,profile + ,numpy.flip(motif_order) + ,window_width + ,threshold) + +def mark_discovered(motif_list, data_fig, profile_fig, window_width, fig_height): + for motif in motif_list: + rect = Rectangle((motif, 0), window_width, fig_height, facecolor='lightgrey') + data_fig.add_patch(rect) + profile_fig.axvline(x=motif, linestyle='dashed') + + +``` + +Now we can actually do our calculations... + + +```python +window = 640 +matrix_profile = timed_stump(steam_data['steam flow'], window) +motif_order = numpy.argsort(matrix_profile[:,0]) +motif_list = get_motifs(matrix_profile, motif_order, window, 0.01) +discord_list = get_discords(matrix_profile, motif_order, window, 0.005) +``` + + >>> stump >>> + Processing a matrix profile over 8961 windows... + <<< stump <<< 12.601s + + +... and report what we've discovered. + + +```python +figure, axis = plot.subplots(2, sharex=True, gridspec_kw={'hspace':0}) +plot.suptitle("Motif discovery in Steam Flow data", fontsize='25') +plot_pandas_import(axis[0], steam_data, 'steam flow') +plot_matrix_profile(axis[1], matrix_profile) +mark_discovered(motif_list, axis[0], axis[1], window, max(steam_data['steam flow'])) +``` + + + +![png](output_15_0.png) + + + + +```python +figure, axis = plot.subplots(2, sharex=True, gridspec_kw={'hspace':0}) +plot.suptitle("Discord discovery in Steam Flow data", fontsize='25') +plot_pandas_import(axis[0], steam_data, 'steam flow') +plot_matrix_profile(axis[1], matrix_profile) +mark_discovered(discord_list, axis[0], axis[1], window, max(steam_data['steam flow'])) +``` + + + +![png](output_16_0.png) + + + +The graphs show our dataset on top and the distance profile on bottom. The distance profile plots a sliding window's closeness to its nearest neighbor. The low points are places where the data is most similar to some other sample and the high points represent radically different patterns which appear nowhere else in the data. 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