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commit c6dba586304b7500d47d2500133c53baccaa6967
Author: buildbot <[email protected]>
AuthorDate: Sat Jan 24 06:16:08 2026 +0000
Automatic Site Publish by Buildbot
---
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href="#collapse_sampling">Sampling</a>
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index 6ae81a99..b88d2038 100644
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b/output/docs/Architecture/MajorSketchFamilies.html
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</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
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b/output/docs/Architecture/RunningCharacterizationRemotely.html
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href="#collapse_sampling">Sampling</a>
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<div class="collapse" id="collapse_sampling">
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<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
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b/output/docs/Architecture/SketchFeaturesMatrix.html
index 391212d2..d7bbdbcd 100644
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@@ -218,6 +218,7 @@
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<div class="collapse" id="collapse_sampling">
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b/output/docs/Architecture/SketchesByComponent.html
index d409539f..75d340ac 100644
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@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
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<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
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<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
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b/output/docs/Background/Presentations.html
index 5de68411..bd1e7732 100644
--- a/output/docs/Background/Presentations.html
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@@ -218,6 +218,7 @@
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href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
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<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
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b/output/docs/Background/SketchElements.html
index 47c64a5e..4877dbd2 100644
--- a/output/docs/Background/SketchElements.html
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@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
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b/output/docs/Background/SketchOrigins.html
index 2cc68153..c0dbd486 100644
--- a/output/docs/Background/SketchOrigins.html
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@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
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<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
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b/output/docs/Background/TheChallenge.html
index ddfc6ab4..d0df8275 100644
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@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
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<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
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diff --git a/output/docs/CPC/CpcCppExample.html
b/output/docs/CPC/CpcCppExample.html
index 09c101af..179b8989 100644
--- a/output/docs/CPC/CpcCppExample.html
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@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
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diff --git a/output/docs/CPC/CpcHiveExample.html
b/output/docs/CPC/CpcHiveExample.html
index 436a224a..e352b4fa 100644
--- a/output/docs/CPC/CpcHiveExample.html
+++ b/output/docs/CPC/CpcHiveExample.html
@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
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<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
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diff --git a/output/docs/CPC/CpcJavaExample.html
b/output/docs/CPC/CpcJavaExample.html
index 92a1a8d7..c96e8134 100644
--- a/output/docs/CPC/CpcJavaExample.html
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@@ -218,6 +218,7 @@
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href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
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<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
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b/output/docs/CPC/CpcPerformance.html
index c2bfefb8..341cec67 100644
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@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
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<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
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b/output/docs/CPC/CpcPigExample.html
index 378358f1..6cdaf21c 100644
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@@ -218,6 +218,7 @@
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href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
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<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
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@@ -218,6 +218,7 @@
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href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
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<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
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b/output/docs/Community/Downloads.html
index ad5a8fc5..199dcbcb 100644
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<div class="collapse" id="collapse_sampling">
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diff --git a/output/docs/Community/NewCommitterProcess.html
b/output/docs/Community/NewCommitterProcess.html
index 6039ffde..141cade9 100644
--- a/output/docs/Community/NewCommitterProcess.html
+++ b/output/docs/Community/NewCommitterProcess.html
@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/VarOptSamplingSketches.html">•VarOpt
Sampling Sketches</a></li>
</div>
diff --git a/output/docs/Community/ReleaseProcessForCppComponents.html
b/output/docs/Community/ReleaseProcessForCppComponents.html
index cfa2302d..e38f57b7 100644
--- a/output/docs/Community/ReleaseProcessForCppComponents.html
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@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/VarOptSamplingSketches.html">•VarOpt
Sampling Sketches</a></li>
</div>
diff --git a/output/docs/Community/ReleaseProcessForJavaComponents.html
b/output/docs/Community/ReleaseProcessForJavaComponents.html
index ea5f6e7b..98b14db6 100644
--- a/output/docs/Community/ReleaseProcessForJavaComponents.html
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@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/VarOptSamplingSketches.html">•VarOpt
Sampling Sketches</a></li>
</div>
diff --git a/output/docs/Community/Research.html
b/output/docs/Community/Research.html
index a8da3803..13741d49 100644
--- a/output/docs/Community/Research.html
+++ b/output/docs/Community/Research.html
@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/VarOptSamplingSketches.html">•VarOpt
Sampling Sketches</a></li>
</div>
diff --git a/output/docs/Community/Transitioning.html
b/output/docs/Community/Transitioning.html
index 99b2083b..701d2c4f 100644
--- a/output/docs/Community/Transitioning.html
+++ b/output/docs/Community/Transitioning.html
@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/VarOptSamplingSketches.html">•VarOpt
Sampling Sketches</a></li>
</div>
diff --git a/output/docs/Community/WhoUses.html
b/output/docs/Community/WhoUses.html
index 1ee82583..4e965c00 100644
--- a/output/docs/Community/WhoUses.html
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@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/VarOptSamplingSketches.html">•VarOpt
Sampling Sketches</a></li>
</div>
diff --git a/output/docs/Community/index.html b/output/docs/Community/index.html
index 8b95af90..e4ac27db 100644
--- a/output/docs/Community/index.html
+++ b/output/docs/Community/index.html
@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/VarOptSamplingSketches.html">•VarOpt
Sampling Sketches</a></li>
</div>
diff --git a/output/docs/DistinctCountFeaturesMatrix.html
b/output/docs/DistinctCountFeaturesMatrix.html
index b0fc6922..fbf6f389 100644
--- a/output/docs/DistinctCountFeaturesMatrix.html
+++ b/output/docs/DistinctCountFeaturesMatrix.html
@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/VarOptSamplingSketches.html">•VarOpt
Sampling Sketches</a></li>
</div>
diff --git a/output/docs/DistinctCountMeritComparisons.html
b/output/docs/DistinctCountMeritComparisons.html
index f235d2c1..b218ec56 100644
--- a/output/docs/DistinctCountMeritComparisons.html
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@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
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<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/VarOptSamplingSketches.html">•VarOpt
Sampling Sketches</a></li>
</div>
diff --git a/output/docs/Frequency/FrequencySketches.html
b/output/docs/Frequency/FrequencySketches.html
index 7a6ffec0..568be356 100644
--- a/output/docs/Frequency/FrequencySketches.html
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@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
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<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/VarOptSamplingSketches.html">•VarOpt
Sampling Sketches</a></li>
</div>
diff --git a/output/docs/Frequency/FrequentDistinctTuplesSketch.html
b/output/docs/Frequency/FrequentDistinctTuplesSketch.html
index ec199e25..d0e7feae 100644
--- a/output/docs/Frequency/FrequentDistinctTuplesSketch.html
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@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/VarOptSamplingSketches.html">•VarOpt
Sampling Sketches</a></li>
</div>
diff --git a/output/docs/Frequency/FrequentItemsCppExample.html
b/output/docs/Frequency/FrequentItemsCppExample.html
index 2e5927bb..0c712391 100644
--- a/output/docs/Frequency/FrequentItemsCppExample.html
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@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/VarOptSamplingSketches.html">•VarOpt
Sampling Sketches</a></li>
</div>
diff --git a/output/docs/Frequency/FrequentItemsHiveUDFs.html
b/output/docs/Frequency/FrequentItemsHiveUDFs.html
index 0c2eb3fd..de9bce90 100644
--- a/output/docs/Frequency/FrequentItemsHiveUDFs.html
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@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/VarOptSamplingSketches.html">•VarOpt
Sampling Sketches</a></li>
</div>
diff --git a/output/docs/Frequency/FrequentItemsJavaExample.html
b/output/docs/Frequency/FrequentItemsJavaExample.html
index 7bc81a6f..72e9c04e 100644
--- a/output/docs/Frequency/FrequentItemsJavaExample.html
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@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/VarOptSamplingSketches.html">•VarOpt
Sampling Sketches</a></li>
</div>
diff --git a/output/docs/Frequency/FrequentItemsOverview.html
b/output/docs/Frequency/FrequentItemsOverview.html
index ffd1f569..0182fb00 100644
--- a/output/docs/Frequency/FrequentItemsOverview.html
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@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/VarOptSamplingSketches.html">•VarOpt
Sampling Sketches</a></li>
</div>
diff --git a/output/docs/Frequency/FrequentItemsPerformance.html
b/output/docs/Frequency/FrequentItemsPerformance.html
index 760a0733..aac479f9 100644
--- a/output/docs/Frequency/FrequentItemsPerformance.html
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@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/VarOptSamplingSketches.html">•VarOpt
Sampling Sketches</a></li>
</div>
diff --git a/output/docs/Frequency/FrequentItemsPigUDFs.html
b/output/docs/Frequency/FrequentItemsPigUDFs.html
index 8415be99..9339c34e 100644
--- a/output/docs/Frequency/FrequentItemsPigUDFs.html
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@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/VarOptSamplingSketches.html">•VarOpt
Sampling Sketches</a></li>
</div>
diff --git a/output/docs/Frequency/FrequentItemsReferences.html
b/output/docs/Frequency/FrequentItemsReferences.html
index a42007e0..26657623 100644
--- a/output/docs/Frequency/FrequentItemsReferences.html
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@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/VarOptSamplingSketches.html">•VarOpt
Sampling Sketches</a></li>
</div>
diff --git a/output/docs/Governance/ChairResponsibilities.html
b/output/docs/Governance/ChairResponsibilities.html
index 3d10c64e..9989b4de 100644
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@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/VarOptSamplingSketches.html">•VarOpt
Sampling Sketches</a></li>
</div>
diff --git a/output/docs/Graduation/GraduationCheckList.html
b/output/docs/Graduation/GraduationCheckList.html
index 2d5545b0..4612b134 100644
--- a/output/docs/Graduation/GraduationCheckList.html
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@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/VarOptSamplingSketches.html">•VarOpt
Sampling Sketches</a></li>
</div>
diff --git a/output/docs/Graduation/Maturity.html
b/output/docs/Graduation/Maturity.html
index 5824b107..525ceef6 100644
--- a/output/docs/Graduation/Maturity.html
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@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/VarOptSamplingSketches.html">•VarOpt
Sampling Sketches</a></li>
</div>
diff --git a/output/docs/Graduation/Resolution.html
b/output/docs/Graduation/Resolution.html
index 79fb5b84..73854483 100644
--- a/output/docs/Graduation/Resolution.html
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@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/VarOptSamplingSketches.html">•VarOpt
Sampling Sketches</a></li>
</div>
diff --git a/output/docs/HLL/HllCppExample.html
b/output/docs/HLL/HllCppExample.html
index c7859365..f820538a 100644
--- a/output/docs/HLL/HllCppExample.html
+++ b/output/docs/HLL/HllCppExample.html
@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/VarOptSamplingSketches.html">•VarOpt
Sampling Sketches</a></li>
</div>
diff --git a/output/docs/HLL/HllHiveUDFs.html b/output/docs/HLL/HllHiveUDFs.html
index 38a998ab..89336894 100644
--- a/output/docs/HLL/HllHiveUDFs.html
+++ b/output/docs/HLL/HllHiveUDFs.html
@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/VarOptSamplingSketches.html">•VarOpt
Sampling Sketches</a></li>
</div>
diff --git a/output/docs/HLL/HllJavaExample.html
b/output/docs/HLL/HllJavaExample.html
index 52c6b594..dbd071b4 100644
--- a/output/docs/HLL/HllJavaExample.html
+++ b/output/docs/HLL/HllJavaExample.html
@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/VarOptSamplingSketches.html">•VarOpt
Sampling Sketches</a></li>
</div>
diff --git a/output/docs/HLL/HllMap.html b/output/docs/HLL/HllMap.html
index 1e5cbdd0..e9dff917 100644
--- a/output/docs/HLL/HllMap.html
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@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/VarOptSamplingSketches.html">•VarOpt
Sampling Sketches</a></li>
</div>
diff --git a/output/docs/HLL/HllMaxSizeAndErrorTable.html
b/output/docs/HLL/HllMaxSizeAndErrorTable.html
index 136e6156..c7946d8d 100644
--- a/output/docs/HLL/HllMaxSizeAndErrorTable.html
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@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/VarOptSamplingSketches.html">•VarOpt
Sampling Sketches</a></li>
</div>
diff --git a/output/docs/HLL/HllPerformance.html
b/output/docs/HLL/HllPerformance.html
index bb74c773..03cc8dfa 100644
--- a/output/docs/HLL/HllPerformance.html
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@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/VarOptSamplingSketches.html">•VarOpt
Sampling Sketches</a></li>
</div>
diff --git a/output/docs/HLL/HllPigUDFs.html b/output/docs/HLL/HllPigUDFs.html
index a14b68ad..4334b144 100644
--- a/output/docs/HLL/HllPigUDFs.html
+++ b/output/docs/HLL/HllPigUDFs.html
@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/VarOptSamplingSketches.html">•VarOpt
Sampling Sketches</a></li>
</div>
diff --git a/output/docs/HLL/HllSketchVsDruidHyperLogLogCollector.html
b/output/docs/HLL/HllSketchVsDruidHyperLogLogCollector.html
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--- a/output/docs/HLL/HllSketchVsDruidHyperLogLogCollector.html
+++ b/output/docs/HLL/HllSketchVsDruidHyperLogLogCollector.html
@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/VarOptSamplingSketches.html">•VarOpt
Sampling Sketches</a></li>
</div>
diff --git a/output/docs/HLL/HllSketches.html b/output/docs/HLL/HllSketches.html
index 29925a0e..9b93b4af 100644
--- a/output/docs/HLL/HllSketches.html
+++ b/output/docs/HLL/HllSketches.html
@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/VarOptSamplingSketches.html">•VarOpt
Sampling Sketches</a></li>
</div>
diff --git a/output/docs/HLL/Hll_vs_CS_Hllpp.html
b/output/docs/HLL/Hll_vs_CS_Hllpp.html
index 1b44937d..7dc91d01 100644
--- a/output/docs/HLL/Hll_vs_CS_Hllpp.html
+++ b/output/docs/HLL/Hll_vs_CS_Hllpp.html
@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/VarOptSamplingSketches.html">•VarOpt
Sampling Sketches</a></li>
</div>
diff --git a/output/docs/HLL/Hll_vs_G_Hllpp.html
b/output/docs/HLL/Hll_vs_G_Hllpp.html
index 064ea5f0..b5558671 100644
--- a/output/docs/HLL/Hll_vs_G_Hllpp.html
+++ b/output/docs/HLL/Hll_vs_G_Hllpp.html
@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/VarOptSamplingSketches.html">•VarOpt
Sampling Sketches</a></li>
</div>
diff --git a/output/docs/KLL/KLLAccuracyAndSize.html
b/output/docs/KLL/KLLAccuracyAndSize.html
index f2820aec..c56960eb 100644
--- a/output/docs/KLL/KLLAccuracyAndSize.html
+++ b/output/docs/KLL/KLLAccuracyAndSize.html
@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/VarOptSamplingSketches.html">•VarOpt
Sampling Sketches</a></li>
</div>
diff --git a/output/docs/KLL/KLLCppExample.html
b/output/docs/KLL/KLLCppExample.html
index 40edc9e3..762cfa09 100644
--- a/output/docs/KLL/KLLCppExample.html
+++ b/output/docs/KLL/KLLCppExample.html
@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/VarOptSamplingSketches.html">•VarOpt
Sampling Sketches</a></li>
</div>
diff --git a/output/docs/KLL/KLLSketch.html b/output/docs/KLL/KLLSketch.html
index 8f1c5038..e3b2e156 100644
--- a/output/docs/KLL/KLLSketch.html
+++ b/output/docs/KLL/KLLSketch.html
@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/VarOptSamplingSketches.html">•VarOpt
Sampling Sketches</a></li>
</div>
diff --git a/output/docs/KLL/UnderstandingKLLBounds.html
b/output/docs/KLL/UnderstandingKLLBounds.html
index 2ce21d4d..c9d23396 100644
--- a/output/docs/KLL/UnderstandingKLLBounds.html
+++ b/output/docs/KLL/UnderstandingKLLBounds.html
@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/VarOptSamplingSketches.html">•VarOpt
Sampling Sketches</a></li>
</div>
diff --git a/output/docs/Memory/MemoryComponent.html
b/output/docs/Memory/MemoryComponent.html
index 6bb9604b..b74a3149 100644
--- a/output/docs/Memory/MemoryComponent.html
+++ b/output/docs/Memory/MemoryComponent.html
@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/VarOptSamplingSketches.html">•VarOpt
Sampling Sketches</a></li>
</div>
diff --git a/output/docs/Memory/MemoryPerformance.html
b/output/docs/Memory/MemoryPerformance.html
index a4e459e3..aa74566d 100644
--- a/output/docs/Memory/MemoryPerformance.html
+++ b/output/docs/Memory/MemoryPerformance.html
@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/VarOptSamplingSketches.html">•VarOpt
Sampling Sketches</a></li>
</div>
diff --git a/output/docs/Quantiles/ClassicQuantilesSketch.html
b/output/docs/Quantiles/ClassicQuantilesSketch.html
index 8036f729..ef0e1d66 100644
--- a/output/docs/Quantiles/ClassicQuantilesSketch.html
+++ b/output/docs/Quantiles/ClassicQuantilesSketch.html
@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/VarOptSamplingSketches.html">•VarOpt
Sampling Sketches</a></li>
</div>
diff --git a/output/docs/Quantiles/QuantilesHiveUDFs.html
b/output/docs/Quantiles/QuantilesHiveUDFs.html
index d711f9c0..b75d1574 100644
--- a/output/docs/Quantiles/QuantilesHiveUDFs.html
+++ b/output/docs/Quantiles/QuantilesHiveUDFs.html
@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/VarOptSamplingSketches.html">•VarOpt
Sampling Sketches</a></li>
</div>
diff --git a/output/docs/Quantiles/QuantilesJavaExample.html
b/output/docs/Quantiles/QuantilesJavaExample.html
index 1d363b89..8e111cd4 100644
--- a/output/docs/Quantiles/QuantilesJavaExample.html
+++ b/output/docs/Quantiles/QuantilesJavaExample.html
@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/VarOptSamplingSketches.html">•VarOpt
Sampling Sketches</a></li>
</div>
diff --git a/output/docs/Quantiles/QuantilesPigUDFs.html
b/output/docs/Quantiles/QuantilesPigUDFs.html
index 2144bbbb..f1cba3b2 100644
--- a/output/docs/Quantiles/QuantilesPigUDFs.html
+++ b/output/docs/Quantiles/QuantilesPigUDFs.html
@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/VarOptSamplingSketches.html">•VarOpt
Sampling Sketches</a></li>
</div>
diff --git a/output/docs/Quantiles/QuantilesSketchOverview.html
b/output/docs/Quantiles/QuantilesSketchOverview.html
index dc8b70a6..4a3cdd46 100644
--- a/output/docs/Quantiles/QuantilesSketchOverview.html
+++ b/output/docs/Quantiles/QuantilesSketchOverview.html
@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/VarOptSamplingSketches.html">•VarOpt
Sampling Sketches</a></li>
</div>
diff --git a/output/docs/QuantilesAll/QuantilesOverview.html
b/output/docs/QuantilesAll/QuantilesOverview.html
index 8215a8ca..810013c0 100644
--- a/output/docs/QuantilesAll/QuantilesOverview.html
+++ b/output/docs/QuantilesAll/QuantilesOverview.html
@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/VarOptSamplingSketches.html">•VarOpt
Sampling Sketches</a></li>
</div>
diff --git a/output/docs/QuantilesAll/QuantilesReferences.html
b/output/docs/QuantilesAll/QuantilesReferences.html
index d452db01..092c8829 100644
--- a/output/docs/QuantilesAll/QuantilesReferences.html
+++ b/output/docs/QuantilesAll/QuantilesReferences.html
@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/VarOptSamplingSketches.html">•VarOpt
Sampling Sketches</a></li>
</div>
diff --git a/output/docs/QuantilesAll/SketchingQuantilesAndRanksTutorial.html
b/output/docs/QuantilesAll/SketchingQuantilesAndRanksTutorial.html
index a2644cb4..dc2398b1 100644
--- a/output/docs/QuantilesAll/SketchingQuantilesAndRanksTutorial.html
+++ b/output/docs/QuantilesAll/SketchingQuantilesAndRanksTutorial.html
@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/VarOptSamplingSketches.html">•VarOpt
Sampling Sketches</a></li>
</div>
diff --git a/output/docs/QuantilesStudies/DruidApproxHistogramStudy.html
b/output/docs/QuantilesStudies/DruidApproxHistogramStudy.html
index 26aae7a1..7c83d74c 100644
--- a/output/docs/QuantilesStudies/DruidApproxHistogramStudy.html
+++ b/output/docs/QuantilesStudies/DruidApproxHistogramStudy.html
@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/VarOptSamplingSketches.html">•VarOpt
Sampling Sketches</a></li>
</div>
diff --git a/output/docs/QuantilesStudies/ExactQuantiles.html
b/output/docs/QuantilesStudies/ExactQuantiles.html
index 138facdb..cc9e49ac 100644
--- a/output/docs/QuantilesStudies/ExactQuantiles.html
+++ b/output/docs/QuantilesStudies/ExactQuantiles.html
@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/VarOptSamplingSketches.html">•VarOpt
Sampling Sketches</a></li>
</div>
diff --git a/output/docs/QuantilesStudies/KllSketchVsTDigest.html
b/output/docs/QuantilesStudies/KllSketchVsTDigest.html
index e1c21d62..aec54e85 100644
--- a/output/docs/QuantilesStudies/KllSketchVsTDigest.html
+++ b/output/docs/QuantilesStudies/KllSketchVsTDigest.html
@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/VarOptSamplingSketches.html">•VarOpt
Sampling Sketches</a></li>
</div>
diff --git a/output/docs/QuantilesStudies/MomentsSketchStudy.html
b/output/docs/QuantilesStudies/MomentsSketchStudy.html
index 257e9f66..5cd003b7 100644
--- a/output/docs/QuantilesStudies/MomentsSketchStudy.html
+++ b/output/docs/QuantilesStudies/MomentsSketchStudy.html
@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/VarOptSamplingSketches.html">•VarOpt
Sampling Sketches</a></li>
</div>
diff --git a/output/docs/QuantilesStudies/QuantilesStreamAStudy.html
b/output/docs/QuantilesStudies/QuantilesStreamAStudy.html
index 69d788da..b2bdffec 100644
--- a/output/docs/QuantilesStudies/QuantilesStreamAStudy.html
+++ b/output/docs/QuantilesStudies/QuantilesStreamAStudy.html
@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/VarOptSamplingSketches.html">•VarOpt
Sampling Sketches</a></li>
</div>
diff --git a/output/docs/REQ/ReqAccuracyAdversarial.html
b/output/docs/REQ/ReqAccuracyAdversarial.html
index a409995d..fb91e724 100644
--- a/output/docs/REQ/ReqAccuracyAdversarial.html
+++ b/output/docs/REQ/ReqAccuracyAdversarial.html
@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/VarOptSamplingSketches.html">•VarOpt
Sampling Sketches</a></li>
</div>
diff --git a/output/docs/REQ/ReqAccuracyRandomShuffledStreams.html
b/output/docs/REQ/ReqAccuracyRandomShuffledStreams.html
index 3c8d4740..96798812 100644
--- a/output/docs/REQ/ReqAccuracyRandomShuffledStreams.html
+++ b/output/docs/REQ/ReqAccuracyRandomShuffledStreams.html
@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/VarOptSamplingSketches.html">•VarOpt
Sampling Sketches</a></li>
</div>
diff --git a/output/docs/REQ/ReqSketch.html b/output/docs/REQ/ReqSketch.html
index a873b46e..29d86ebd 100644
--- a/output/docs/REQ/ReqSketch.html
+++ b/output/docs/REQ/ReqSketch.html
@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/VarOptSamplingSketches.html">•VarOpt
Sampling Sketches</a></li>
</div>
diff --git a/output/docs/Sampling/ReservoirSamplingSketches.html
b/output/docs/Sampling/EB-PPS_SamplingSketches.html
similarity index 78%
copy from output/docs/Sampling/ReservoirSamplingSketches.html
copy to output/docs/Sampling/EB-PPS_SamplingSketches.html
index ef513546..bcb2eac1 100644
--- a/output/docs/Sampling/ReservoirSamplingSketches.html
+++ b/output/docs/Sampling/EB-PPS_SamplingSketches.html
@@ -218,6 +218,7 @@
<a data-toggle="collapse" class="menu collapsed"
href="#collapse_sampling">Sampling</a>
</p>
<div class="collapse" id="collapse_sampling">
+ <li><a href="/docs/Sampling/EB-PPS_SamplingSketches.html">•EB-PPS
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/ReservoirSamplingSketches.html">•Reservoir
Sampling Sketches</a></li>
<li><a href="/docs/Sampling/VarOptSamplingSketches.html">•VarOpt
Sampling Sketches</a></li>
</div>
@@ -337,76 +338,66 @@
-->
<h2 id="contents">Contents</h2>
<!-- TOC -->
-
<ul>
- <li><a href="#reservoir-sampling-sketches">Reservoir Sampling Sketches</a>
- <ul>
- <li><a
href="https://datasketches.apache.org/docs/Sampling/ReservoirSamplingPerformance.html";>Reservoir
Sampling Performance</a></li>
- <li>Reservoir Sampling Examples
- <ul>
- <li><a
href="https://datasketches.apache.org/docs/Sampling/ReservoirSamplingJava.html";>Reservoir
Sampling Java Example</a></li>
- <li><a
href="https://datasketches.apache.org/docs/Sampling/ReservoirSamplingPigUDFs.html";>Reservoir
Sampling Pig UDFs</a></li>
- </ul>
- </li>
- </ul>
- </li>
+ <li><a href="#eb-pps-sampling-sketch">EB-PPS Sampling Sketches</a>
+<!-- TOC --></li>
</ul>
-<!-- TOC -->
+<p><a id="eb-pps-sampling-sketch"></a></p>
+<h2
id="exact-bound-probability-proportional-to-size-eb-pps-sampling-sketches">Exact
Bound Probability-Proportional-to-Size (EB-PPS) Sampling Sketches</h2>
-<p><a id="reservoir-sampling-sketches"></a></p>
-<h2 id="reservoir-sampling-sketches">Reservoir Sampling Sketches</h2>
-<p>Reservoir sampling provides a way to construct a uniform random sample of
size <tt>k</tt> from an unweighted stream of items,
-without knowing the final length of the stream in advance. As with all
sketches in the library, reservoir sampling sketches can be efficiently
unioned.</p>
+<p>An implementation inspired by the paper:”Exact PPS Sampling with Bounded
Sample Size”,
+B. Hentschel, P. J. Haas, Y. Tian. Information Processing Letters, 2023.</p>
-<p>The Sketches Library provides 2 forms of reservoir sampling sketches:</p>
+<p>The EB-PPS Sampling Sketch is a one-pass streaming algorithm that ensures
Probability-Proportional-to-Size (PPS) sampling while strictly bounding the
sample size to a target <em>k</em>. It maintains the exact PPS property,
handles imbalanced data efficiently, and is computationally superior for
large-scale applications compared to other reservoir-type sketches.</p>
-<ul>
- <li>
- <p>ReservoirItemsSketch<T></p>
-
- <p>This sketch provides a random sample of items of type <T> from
the item stream. Every
- item in the stream will have an equal probability of being included in the
output reservoir.
- If processing the entire data set with a single instance of this class, all
permutations of the
- input elements will be equally likely; if unioning multiple reservoirs, the
guarantee is only
- that each element is equally likely to be selected.</p>
-
- <p>If the user needs to serialize and deserialize the resulting sketch for
storage or transport,
- the user must also extend the <tt>ArrayOfItemsSerDe</tt> interface. Three
examples of
- extending this interface are included for <tt>Long</tt>,
- <tt>String</tt>, and <tt>Number</tt>: <tt>ArrayOfLongsSerDe</tt>,
<tt>ArrayOfStringsSerDe</tt>,
- and <tt>ArrayOfNumbersSerDe</tt>.</p>
- </li>
- <li>
- <p>ReservoirLongsSketch</p>
+<p>Key features and benefits of EB-PPA include:</p>
- <p>This provides a custom implementation for items of type <tt>long</tt>.
Performance is nearly identical
- to that of the items sketch, but there is no need to provide an
<tt>ArrayOfItemsSerDe</tt>.</p>
- </li>
+<ul>
+ <li><strong>Sample Size Control:</strong> EB-PPS ensures the sample size
never exceeds the target <em>k</em>, making it ideal for scenarios requiring
strict storage or time constraints.</li>
+ <li><strong>Optimal Statistical Properties:</strong> When possible, the
sample size is exactly <em>k</em>, while in other cases, it maintains maximal
expected value and minimal variance.</li>
+ <li><strong>Efficiency:</strong> As a one-pass streaming algorithm, it is
highly efficient, which is crucial for processing large, real-time, or
streaming data.</li>
+ <li><strong>Application in Machine Learning:</strong> This method is
particularly useful for training classifiers on imbalanced datasets, where it
helps in overcoming issues with biased results.</li>
+ <li><strong>Comparison with Other Methods:</strong> In the above referenced
paper, EB-PPS is compared to other methods such as Conditional Poisson Sampling
(CPS) and Pareto PPS sampling, which also aim to have inclusion probabilities
proportional to given size measures.</li>
</ul>
-<h3 id="space-usage">Space Usage</h3>
+<p>EB-PPS is advantageous for its simplicity, efficiency, and ability to
balance the need for exact PPS with the constraint of a fixed sample size.</p>
-<p>The reservoir is initialized with a <tt>reservoirCapacity</tt> indicating
the maximum number of items
-that can be stored in the reservoir. In contrast to some other sketches in
this library, the size does
-not need to be a power of 2.</p>
+<p>EB-PPS is a modern sampling scheme designed to resolve a fundamental
conflict in statistical sampling: the inability to simultaneously guarantee
exact <strong>Probability Proportional to Size (PPS)</strong> and a fixed
sample size for all datasets.</p>
-<p>When serialized, these sketches use 16 bytes of header data in addition to
the serialized size of the
-items in the reservoir.</p>
+<h3 id="key-concepts-of-eb-pps">Key Concepts of EB-PPS</h3>
+<p>Traditional PPS schemes often prioritize keeping a fixed sample size
<em>k</em>, which sometimes forces them to violate the PPS property (where each
item’s selection probability must be exactly proportional to its weight).
EB-PPS flips this trade-off: </p>
-<h3 id="updating-the-sketch-with-new-items">Updating the sketch with new
items</h3>
+<ul>
+ <li><strong>Strict PPS Property:</strong> It enforces the PPS property at
all times, ensuring item-inclusion probabilities are exactly proportional to
their weights.</li>
+ <li><strong>Bounded Sample Size:</strong> It uses the target <em>k</em> as a
strict upper bound rather than a fixed requirement.</li>
+ <li><strong>Optimality:</strong> If the sample size cannot be exactly
<em>k</em> while maintaining strict PPS, the algorithm produces a sample with
the maximal possible expected size and minimal variance.</li>
+</ul>
-<p>Reservoir sampling does not maintain a hash list of items or associate
additional metadata with them;
-each item presented to the sketch is handled independently. Consequently, the
reservoir may have
-duplicate items if the input stream contains duplicates.</p>
+<h3 id="computational-advantages">Computational Advantages</h3>
-<h3 id="unioning-reservoirs">Unioning Reservoirs</h3>
+<p>EB-PPS is particularly suited for high-volume data environments and 2026+
era big data analytics: </p>
-<p>As mentioned above, using a single reservoir to process a data stream
ensures that the resulting reservoir contains all elements with equal
probability, but that all permutations of the input are also equally probable
(subject to the limits of the random number generator). That additional
guarantee over permutations no longer applies to reservoir unions.</p>
+<ul>
+ <li>
+ <p><strong>One-Pass Streaming:</strong> It processes items sequentially
and does not need to know the total population size in advance.</p>
+ </li>
+ <li>
+ <p><strong>Efficiency:</strong> It features an amortized processing time
of <em>O(1)</em> <strong>per item</strong>, making it computationally superior
to older state-of-the-art algorithms like VarOpt, which has <em>O(\log n)</em>
complexity.</p>
+ </li>
+ <li>
+ <p><strong>Memory Management:</strong> By bounding the sample size, it
prevents storage overflows during real-time data ingestion.</p>
+ </li>
+</ul>
+
+<h3 id="applications-in-machine-learning">Applications in Machine Learning</h3>
-<p>To union two reservoirs, we first compute a weight for the items in each
reservoir based on both the reservoir size and the total number of items that
have been presented to the reservoir. Because the items are themselves
unweighted, the weight reflects the relative weight of each reservoir and
affects the probability of taking items from each.</p>
+<p>A primary 2026 application for EB-PPS is training classifiers on imbalanced
datasets: </p>
-<p>A union object is initiailzed with a <tt>maxUnionCapacity</tt>. Unlike the
reservoir size, which can only grow until saturating at its capacity, the
actual number of items stored in a union can both grow and shrink, depending on
the sizes and weights of the input sketches. The only guarantee is that the
union result will not grow beyond <tt>maxUnionCapacity</tt></p>
+<ul>
+ <li><strong>Bayes-Optimality:</strong> By maintaining exact PPS, it allows
standard training techniques (designed for 0-1 loss) to produce Bayes-optimal
classifiers even when the true loss function is imbalanced.</li>
+ <li><strong>Superior Performance:</strong> Research indicates that smaller,
well-curated EB-PPS samples can outperform larger samples from traditional
schemes (like VarOpt) because they avoid the bias introduced by violating
PPS.</li>
+</ul>
</div> <!-- End content -->
</div> <!-- End row -->
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