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new 3b1d7e3 Update REQ Documentation
3b1d7e3 is described below
commit 3b1d7e3c97a03ca36d750f1d097ee0a051731233
Author: Lee Rhodes <[email protected]>
AuthorDate: Thu Oct 22 09:02:27 2020 -0700
Update REQ Documentation
---
docs/REQ/ReqAccuracyAdversarial.md | 96 ++++++++++++++++------
docs/REQ/ReqAccuracyRandomShuffled.md | 85 +++++++++++++++++--
docs/img/req/ReqErrEqHraK50SL20T0_LT_FlipFlop.png | Bin 61136 -> 0 bytes
docs/img/req/ReqErrEqHraK50SL20T0_LT_Random.png | Bin 74839 -> 0 bytes
docs/img/req/ReqErrEqHraK50SL20T0_LT_Reversed.png | Bin 62110 -> 0 bytes
docs/img/req/ReqErrEqHraK50SL20T0_LT_Sorted.png | Bin 57982 -> 0 bytes
docs/img/req/ReqErrEqHraK50SL20T0_LT_Sqrt.png | Bin 71535 -> 0 bytes
docs/img/req/ReqErrEqHraK50SL20T0_LT_Zoomin.png | Bin 62363 -> 0 bytes
docs/img/req/ReqErrEqHraK50SL20T0_LT_Zoomout.png | Bin 61026 -> 0 bytes
docs/img/req/ReqErrEqHraK50SL20T12_LT_NoSh.png | Bin 61273 -> 0 bytes
docs/img/req/ReqErrEqHraLtK50SL20T12_FlipFlop.png | Bin 0 -> 82336 bytes
docs/img/req/ReqErrEqHraLtK50SL20T12_Random.png | Bin 0 -> 70750 bytes
docs/img/req/ReqErrEqHraLtK50SL20T12_Reversed.png | Bin 0 -> 87446 bytes
docs/img/req/ReqErrEqHraLtK50SL20T12_Sorted.png | Bin 0 -> 68624 bytes
docs/img/req/ReqErrEqHraLtK50SL20T12_Sqrt.png | Bin 0 -> 80336 bytes
docs/img/req/ReqErrEqHraLtK50SL20T12_Zoomin.png | Bin 0 -> 82751 bytes
docs/img/req/ReqErrEqHraLtK50SL20T12_Zoomout.png | Bin 0 -> 77345 bytes
17 files changed, 148 insertions(+), 33 deletions(-)
diff --git a/docs/REQ/ReqAccuracyAdversarial.md
b/docs/REQ/ReqAccuracyAdversarial.md
index cd82c18..2d48158 100644
--- a/docs/REQ/ReqAccuracyAdversarial.md
+++ b/docs/REQ/ReqAccuracyAdversarial.md
@@ -31,26 +31,28 @@ As you can see, some of these patterns challenge our
current a priori calculatio
For those that are interested in the actual code that run these tests can
examine the following links.
-*
[Code](https://github.com/apache/incubator-datasketches-characterization/blob/master/src/test/java/org/apache/datasketches/characterization/quantiles/ReqSketchAccuracyProfile2.java):
The code used to generate these characterization studies.
-*
[Config](https://github.com/apache/incubator-datasketches-characterization/blob/master/src/main/resources/quantiles/ReqSketchAccuracy2Job.conf):
The human readable and editable configuration file that instructs the above
code with the specific properties used to run the test. These configuration
properties are different for each of the following plots and summarized below
with each plot.
+*
[Code](https://github.com/apache/incubator-datasketches-characterization/blob/master/src/test/java/org/apache/datasketches/characterization/quantiles/ReqSketchAccuracyProfile.java):
The code used to generate these characterization studies.
+*
[Config](https://github.com/apache/incubator-datasketches-characterization/blob/master/src/main/resources/quantiles/ReqSketchAccuracyJob.conf):
The human readable and editable configuration file that instructs the above
code with the specific properties used to run the test. These configuration
properties are different for each of the following plots and summarized below
with each plot.
## Test Design
-* Stream Length (SL): 2^20
+* Stream Length (SL): 2^20 = 1,048,576 floats
* Stream Values: Natural numbers, ℕ<sub>1</sub>, from 1 to SL,
expressed as 32-bit floats.
* Y-axis: The absolute error of the sketch *getRank(value)* method.
* X-axis: The normalized rank [0.0, 1.0]
-* Plot Points (PP): 100. Equally spaced points along the X-axis starting at
*1.0/SL* and ending at 1.0.
+* Plot Points (PP): 100. Equally spaced points along the X-axis starting at 0
and ending at 1.0.
* Trial:
- * The stream is generated according to the chosen adversarial pattern.
- * At each Plot Point, we compute the rank errors of all ~10K points
from the preceding PP to the current PP.
- * These 10K error values are fed into an error quantile sketch
associated with the current PP.
- * 3 quantile values (-3sd, Median, +3sd) are extracted from each error
sketch. These error quantiles correspond to the standard normal distribuion at
the median, and +/- 3SD, where SD stands for Standard Deviation from the mean.
+ * The stream is generated according to the chosen adversarial pattern
and presented to the sketch.
+ * Execute *estRanks[] = getRanks(trueValues[])* from the sketch where
the array of *trueValues[]* are the 100 equally spaced values along the x-axis
that exactly correspond to the above Plot Points. The *estRanks[]* is the array
of the sketch's estimates of the ranks of the given *trueValues*.
+ * Computes the absolute error: *estRanks[i] - trueRanks[i]* for each
Plot Point and submits this error to a corresponding array of standard qantile
sketches, with one quantile sketch assigned to each Plot Point.
+* Trials:
+ * 2^12 trials are executed. This produces a distribution of error at
each Plot Point held by the error quantile skeches.
+ * **Note:** With these tests, since we do not shuffle the stream with
each trial, randomization is due to just the internal random process of the
sketch itself.
+ * Extract 7 quantiles from the error quantile sketches at each Plot
Point. These error quantiles correspond to the standard normal distribuion at
the median, +/- 1SD, +/- 2SD and +/- 3SD, where SD stands for Standard
Deviation from the mean.
* Plotting:
- * Each of the error quantiles are connected by lines to form contours
of the error distribution where the area between the +/- 3SD contours is the
99.7% confidence interval.
+ * Each of the error quantiles are connected by lines to form contours
of the error distribution where the area between the +/- 1SD contours is the
size of the 68% confidence interval; between the +/- 2SD coutours is the 95.4%
confidence interval; and between the +/- 3SD contours is the 99.7% confidence
interval.
* In addition to the error contours. 6 dashed contours (with colors
corresponding to the error contours) represent the a priori estimates of the
error at each of the +/- standard deviations computed from the sketch's
*getRankLowerBound(double, int)* and *getRankUpperBound(double, int)* methods.
-## Specific Configurations
-### Common Configuration for the following plots
+### Common Configuration for the these tests
* K=50: the sketch sizing & accuracy parameter
* HRA: High Rank Accuracy
* Crit=LT: Comparison criterion: LT = Less-Than
@@ -58,45 +60,89 @@ For those that are interested in the actual code that run
these tests can examin
* Eq Spaced: Equally spaced Plot Points (PP)
* PP=100: Number of plot points on the x-axis
+# Results
-### Plot 1 Adversarial Pattern: Sorted
+
+## Plot 1 Adversarial Pattern: Sorted
<img class="doc-img-qtr" src="{{site.docs_img_dir}}/req/SortedPattern.png"
alt="/req/SortedPattern.png" />
-<img class="doc-img-full"
src="{{site.docs_img_dir}}/req/ReqErrEqHraK50SL20T0_LT_Sorted.png"
alt="/req/ReqErrEqHraK50SL20T0_LT_Sorted.png" />
+<img class="doc-img-full"
src="{{site.docs_img_dir}}/req/ReqErrEqHraLtK50SL20T12_Sorted.png"
alt="/req/ReqErrEqHraLtK50SL20T12_Sorted.png" />
+
+* Run Time: 8:18
+* Unique Error Value Count Per Plot Point: Min=2, Max=2
-### Plot 2 Adversarial Pattern: Reversed
+## Plot 2 Adversarial Pattern: Reversed
<img class="doc-img-qtr" src="{{site.docs_img_dir}}/req/ReversedPattern.png"
alt="/req/ReversedPattern.png" />
-<img class="doc-img-full"
src="{{site.docs_img_dir}}/req/ReqErrEqHraK50SL20T0_LT_Reversed.png"
alt="/req/ReqErrEqHraK50SL20T0_LT_Reversed.png" />
+<img class="doc-img-full"
src="{{site.docs_img_dir}}/req/ReqErrEqHraLtK50SL20T12_Reversed.png"
alt="/req/ReqErrEqHraLtK50SL20T12_Reversed.png" />
-### Plot 3 Adversarial Pattern: Random
+* Run Time: 4:12
+* Unique Error Value Count Per Plot Point: Min=8, Max=104
+
+## Plot 3 Adversarial Pattern: Random
<img class="doc-img-qtr" src="{{site.docs_img_dir}}/req/RandomPattern.png"
alt="/req/RandomPattern.png" />
-<img class="doc-img-full"
src="{{site.docs_img_dir}}/req/ReqErrEqHraK50SL20T0_LT_Random.png"
alt="/req/ReqErrEqHraK50SL20T0_LT_Random.png" />
+<img class="doc-img-full"
src="{{site.docs_img_dir}}/req/ReqErrEqHraLtK50SL20T12_Random.png"
alt="/req/ReqErrEqHraLtK50SL20T12_Random.png" />
+
+* Run Time: 14:30
+* Unique Error Value Count Per Plot Point: Min=61, Max=797
-### Plot 4 Adversarial Pattern: Zoomin
+## Plot 4 Adversarial Pattern: Zoomin
<img class="doc-img-qtr" src="{{site.docs_img_dir}}/req/ZoominPattern.png"
alt="/req/ZoominPattern.png" />
-<img class="doc-img-full"
src="{{site.docs_img_dir}}/req/ReqErrEqHraK50SL20T0_LT_Zoomin.png"
alt="/req/ReqErrEqHraK50SL20T0_LT_Zoomin.png" />
+<img class="doc-img-full"
src="{{site.docs_img_dir}}/req/ReqErrEqHraLtK50SL20T12_Zoomin.png"
alt="/req/ReqErrEqHraLtK50SL20T12_Zoomin.png" />
-### Plot 5 Adversarial Pattern: Zoomout
+* Run Time: 12:50
+* Unique Error Value Count Per Plot Point: Min=2, Max=171
+
+## Plot 5 Adversarial Pattern: Zoomout
<img class="doc-img-qtr" src="{{site.docs_img_dir}}/req/ZoomoutPattern.png"
alt="/req/ZoomoutPattern.png" />
-<img class="doc-img-full"
src="{{site.docs_img_dir}}/req/ReqErrEqHraK50SL20T0_LT_Zoomout.png"
alt="/req/ReqErrEqHraK50SL20T0_LT_Zoomout.png" />
+<img class="doc-img-full"
src="{{site.docs_img_dir}}/req/ReqErrEqHraLtK50SL20T12_Zoomout.png"
alt="/req/ReqErrEqHraLtK50SL20T12_Zoomout.png" />
+
+* Run Time: 17:36
+* Unique Error Value Count Per Plot Point: Min=24, Max=501
-### Plot 6 Adversarial Pattern: Sqrt
+## Plot 6 Adversarial Pattern: Sqrt
<img class="doc-img-qtr" src="{{site.docs_img_dir}}/req/SqrtPattern.png"
alt="/req/SqrtPattern.png" />
-<img class="doc-img-full"
src="{{site.docs_img_dir}}/req/ReqErrEqHraK50SL20T0_LT_Sqrt.png"
alt="/req/ReqErrEqHraK50SL20T0_LT_Sqrt.png" />
+<img class="doc-img-full"
src="{{site.docs_img_dir}}/req/ReqErrEqHraLtK50SL20T12_Sqrt.png"
alt="/req/ReqErrEqHraLtK50SL20T12_Sqrt.png" />
+
+* Run Time: 7:57
+* Unique Error Value Count Per Plot Point: Min=2, Max=169
-### Plot 6 Adversarial Pattern: FlipFlop
+## Plot 6 Adversarial Pattern: FlipFlop
<img class="doc-img-qtr" src="{{site.docs_img_dir}}/req/FlipFlopPattern.png"
alt="/req/FlipFlopPattern.png" />
-<img class="doc-img-full"
src="{{site.docs_img_dir}}/req/ReqErrEqHraK50SL20T0_LT_FlipFlop.png"
alt="/req/ReqErrEqHraK50SL20T0_LT_FlipFlop.png" />
\ No newline at end of file
+<img class="doc-img-full"
src="{{site.docs_img_dir}}/req/ReqErrEqHraLtK50SL20T12_FlipFlop.png"
alt="/req/ReqErrEqHraLtK50SL20T12_FlipFlop.png" />
+
+* Run Time: 9:12
+* Unique Error Value Count Per Plot Point: Min=2, Max=137
+
+## Final Compactor Profile & Size
+Because all of these tests are run with the same exact sketch configuration
and the same input stream length they all have the same final compactor
profile, retained items and Serialization Bytes.
+
+| Lg Wt | Items | Nominal Size | Section Size | Num Sections | Num Compactions
|
+|:-----:|:-----:|:------------:|:------------:|:------------:|:---------------:|
+| 0 | 786 | 864 | 18 | 24 | 16288 |
+| 1 | 919 | 864 | 18 | 24 | 6755 |
+| 2 | 846 | 864 | 18 | 24 | 2979 |
+| 3 | 531 | 576 | 24 | 12 | 1308 |
+| 4 | 613 | 576 | 24 | 12 | 578 |
+| 5 | 529 | 576 | 24 | 12 | 246 |
+| 6 | 528 | 576 | 24 | 12 | 106 |
+| 7 | 781 | 576 | 24 | 12 | 33 |
+| 8 | 621 | 432 | 36 | 6 | 13 |
+| 9 | 364 | 432 | 36 | 6 | 4 |
+| 10 | 250 | 300 | 50 | 3 | 1 |
+| 11 | 135 | 300 | 50 | 3 | 0 |
+
+* Retained Items: 6903
+* Serialization Bytes: 28144
\ No newline at end of file
diff --git a/docs/REQ/ReqAccuracyRandomShuffled.md
b/docs/REQ/ReqAccuracyRandomShuffled.md
index 086ae9e..a0d6853 100644
--- a/docs/REQ/ReqAccuracyRandomShuffled.md
+++ b/docs/REQ/ReqAccuracyRandomShuffled.md
@@ -38,17 +38,17 @@ For those that are interested in the actual code that run
these tests can examin
* Plot Points (PP): 100. Equally spaced points along the X-axis starting at
0.0 and ending at 1.0.
* Trial:
* Randomly Shuffles the input stream and presents it to the sketch.
- * Executes *estRanks[] = getRanks(trueValues[])* from the sketch where
the array of *trueValues[]* are the 100 equally spaced values along the x-axis
that exactly correspond to the above Plot Points. The *estRanks[]* is the array
of the sketch's estimates of the ranks of the given *trueValues*.
+ * Execute *estRanks[] = getRanks(trueValues[])* from the sketch where
the array of *trueValues[]* are the 100 equally spaced values along the x-axis
that exactly correspond to the above Plot Points. The *estRanks[]* is the array
of the sketch's estimates of the ranks of the given *trueValues*.
* Computes the absolute error: *estRanks[i] - trueRanks[i]* for each
Plot Point and submits this error to a corresponding array of standard qantile
sketches, with one quantile sketch assigned to each Plot Point.
* Trials:
- * 2^12 random trials are executed. This produces a distribution of
error at each Plot Point held by the error quantile skeches.
+ * 2^12 trials are executed. This produces a distribution of error at
each Plot Point held by the error quantile skeches.
+ * **Note:** With these tests randomization is due to two sources, the
shuffling of the stream and the internal random process of the sketch itself.
* Extract 7 quantiles from the error quantile sketches at each Plot
Point. These error quantiles correspond to the standard normal distribuion at
the median, +/- 1SD, +/- 2SD and +/- 3SD, where SD stands for Standard
Deviation from the mean.
* Plotting:
* Each of the error quantiles are connected by lines to form contours
of the error distribution where the area between the +/- 1SD contours is the
size of the 68% confidence interval; between the +/- 2SD coutours is the 95.4%
confidence interval; and between the +/- 3SD contours is the 99.7% confidence
interval.
* In addition to the error contours. 6 dashed contours (with colors
corresponding to the error contours) represent the a priori estimates of the
error at each of the +/- standard deviations computed from the sketch's
*getRankLowerBound(double, int)* and *getRankUpperBound(double, int)* methods.
-## Specific Configurations
### Common Configuration for the following plots
* SL=2^20: StreamLength
* Eq Spaced: Equally spaced Plot Points (PP)
@@ -56,32 +56,101 @@ For those that are interested in the actual code that run
these tests can examin
* LgT=12: Number of trials = 2^12
* Shuffled: Random shuffle of the input stream for each trial
-### Plot 1
+# Results
+
+## Plot 1: K=12, HRA, LT
+### Specific Configuration
* K=12: the sketch sizing & accuracy parameter
* HRA: High Rank Accuracy
* Crit=LT: Comparison criterion: LT = Less-Than
<img class="doc-img-full"
src="{{site.docs_img_dir}}/req/ReqErrEqHraK12SL20T12_LT_Sh.png"
alt="/req/ReqErrEqHraK50SL20T12_LT_Sh.png" />
-### Plot 2
+* Retained Items: 2015
+* Serialization Bytes: 8676
+* Run Time: 14:01
+* Unique Error Value Count Per Plot Point: Min=459, Max=3055
+
+
+## Plot 2: K=12, LRA, LE
+### Specific Configuration
* K=12: the sketch sizing & accuracy parameter
* LRA: Low Rank Accuracy
* Crit=LE: Comparison criterion: LE = Less-Than or Equal
<img class="doc-img-full"
src="{{site.docs_img_dir}}/req/ReqErrEqLraK12SL20T12_LE_Sh.png"
alt="/req/ReqErrEqLraK50SL20T12_LE_Sh.png" />
-### Plot 3
+* Retained Items: 2015
+* Serialization Bytes: 8676
+* Run Time: 14:52
+* Unique Error Value Count Per Plot Point: Min=447, Max=3106
+
+## Plot 1 and 2, Final Compactor Profile & Size
+Because these two tests are run with the same exact sketch configuration and
the same input stream length they both have the same final compactor profile,
retained items and Serialization Bytes.
+
+| Lg Wt | Items | Nominal Size | Section Size | Num Sections | Num Compactions
|
+|:-----:|:-----:|:------------:|:------------:|:------------:|:---------------:|
+| 0 | 192 | 192 | 4 | 24 | 85812 |
+| 1 | 188 | 192 | 4 | 24 | 36251 |
+| 2 | 184 | 192 | 4 | 24 | 16596 |
+| 3 | 205 | 192 | 4 | 24 | 7509 |
+| 4 | 188 | 192 | 4 | 24 | 3185 |
+| 5 | 140 | 144 | 6 | 12 | 1340 |
+| 6 | 173 | 144 | 6 | 12 | 590 |
+| 7 | 138 | 144 | 6 | 12 | 261 |
+| 8 | 187 | 144 | 6 | 12 | 108 |
+| 9 | 138 | 144 | 6 | 12 | 35 |
+| 10 | 94 | 96 | 8 | 6 | 13 |
+| 11 | 36 | 96 | 8 | 6 | 4 |
+| 12 | 128 | 72 | 12 | 3 | 1 |
+| 13 | 24 | 72 | 12 | 3 | 0 |
+
+* Retained Items: 2015
+* Serialization Bytes: 8676
+
+## Plot 3: K=50, HRA, LT
+### Specific Configuration
* K=50: the sketch sizing & accuracy parameter
* HRA: High Rank Accuracy
* Crit=LT: Comparison criterion: LT = Less-Than
<img class="doc-img-full"
src="{{site.docs_img_dir}}/req/ReqErrEqHraK50SL20T12_LT_Sh.png"
alt="/req/ReqErrEqHraK50SL20T12_LT_Sh.png" />
-### Plot 4
+* Retained Items: 6903
+* Serialization Bytes: 28144
+* Run Time: 8:38
+* Unique Error Value Count Per Plot Point: Min=156, Max=2465
+
+## Plot 4: K=50, LRA, LE
+### Specific Configuration
* K=50: the sketch sizing & accuracy parameter
* LRA: Low Rank Accuracy
* Crit=LE: Comparison criterion: LE = Less-Than or Equal
<img class="doc-img-full"
src="{{site.docs_img_dir}}/req/ReqErrEqLraK50SL20T12_LE_Sh.png"
alt="/req/ReqErrEqLraK50SL20T12_LE_Sh.png" />
-
+* Retained Items: 6903
+* Serialization Bytes: 28144
+* Run Time: 27:20
+* Unique Error Value Count Per Plot Point: Min=167, Max=2475
+
+## Plot 3 and 4, Final Compactor Profile & Size
+Because these two tests are run with the same exact sketch configuration and
the same input stream length they both have the same final compactor profile,
retained items and Serialization Bytes.
+
+| Lg Wt | Items | Nominal Size | Section Size | Num Sections | Num Compactions
|
+|:-----:|:-----:|:------------:|:------------:|:------------:|:---------------:|
+| 0 | 786 | 864 | 18 | 24 | 16288 |
+| 1 | 919 | 864 | 18 | 24 | 6755 |
+| 2 | 846 | 864 | 18 | 24 | 2979 |
+| 3 | 531 | 576 | 24 | 12 | 1308 |
+| 4 | 613 | 576 | 24 | 12 | 578 |
+| 5 | 529 | 576 | 24 | 12 | 246 |
+| 6 | 528 | 576 | 24 | 12 | 106 |
+| 7 | 781 | 576 | 24 | 12 | 33 |
+| 8 | 621 | 432 | 36 | 6 | 13 |
+| 9 | 364 | 432 | 36 | 6 | 4 |
+| 10 | 250 | 300 | 50 | 3 | 1 |
+| 11 | 135 | 300 | 50 | 3 | 0 |
+
+* Retained Items: 6903
+* Serialization Bytes: 28144
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