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commit 7d0a5454420871033db5699c788e3bb286e3994c
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AuthorDate: Thu Oct 22 17:29:55 2020 +0000
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<h1 id="reqsketch-accuracy-with-adversarial-streams">ReqSketch Accuracy with
Adversarial Streams</h1>
-<p>This set of tests characterize the accuracy (or more precisely the rank
error) of the ReqSketch using specifically selected adversarial streams. The
goal of this suite of tests is to understand how the rank error of the sketch
behaves across all ranks with these specific stream patterns. All of these
tests are run with the same configuration except for the choice of the
adversarial stream pattern.</p>
+<p>This set of tests characterize the accuracy (or more precisely the rank
error) of the ReqSketch using specifically selected adversarial stream
patterns. The goal of this suite of tests is to understand how the rank error
of the sketch behaves across all ranks with these specific stream patterns.
All of these tests are run with the same sketch configuration except for the
choice of the adversarial stream pattern.</p>
-<p>The design of these tests is quite different from the tests for the
<em>Random Shuffled Streams</em>. Here, each test has one pattern and running
multiple trials on the same pattern will not produce a nice distribution of
error that we can easily analyze. We would like to capture the ranks where the
pattern creates the largest error. These aberrant ranks could occur anywhere in
the stream. Instead of choosing 100 plot points where the error is exclusively
measured, we want to measur [...]
-
-<p>In this case we collect the statistics of all the errors in 100 contiguous
intervals of the stream. For a stream length of 2^20, each interval consists of
about ten thousand values. The errors from these 10K values are fed into a
standard quantile sketch as before, and we extract 3 statical quantile points,
-3SD, median and +3SD, and plot those 3 values at each of the 100 plot
points.</p>
-
-<p>As you can see, some of these patterns challenge our current a priori
calculation of the error bounds, which means we may need to adjust them
somewhat. If we do, these plots will be regenerated.</p>
+<p>The design of these tests is different from the tests for the <em>Random
Shuffled Streams</em> in one key aspect, we do not shuffle the input stream for
each trial. Here, each test has one pattern and runs multiple trials with
exactly the same pattern. The plots then reveal the results of the random
process of the sketch itself.</p>
<p>For those that are interested in the actual code that run these tests can
examine the following links.</p>
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