Author: buildbot
Date: Fri Mar 20 00:18:15 2015
New Revision: 944391

Log:
Staging update by buildbot for mahout

Added:
    websites/staging/mahout/trunk/content/users/algorithms/
    websites/staging/mahout/trunk/content/users/algorithms/d-qr.html
    
websites/staging/mahout/trunk/content/users/algorithms/intro-cooccurrence-spark.html
    
websites/staging/mahout/trunk/content/users/algorithms/spark-naive-bayes.html
Modified:
    websites/staging/mahout/trunk/content/   (props changed)
    websites/staging/mahout/trunk/content/developers/buildingmahout.html
    websites/staging/mahout/trunk/content/developers/developer-resources.html
    websites/staging/mahout/trunk/content/developers/github.html
    websites/staging/mahout/trunk/content/developers/gsoc.html
    
websites/staging/mahout/trunk/content/developers/how-to-become-a-committer.html
    websites/staging/mahout/trunk/content/developers/how-to-contribute.html
    websites/staging/mahout/trunk/content/developers/how-to-release.html
    
websites/staging/mahout/trunk/content/developers/how-to-update-the-website.html
    websites/staging/mahout/trunk/content/developers/issue-tracker.html
    websites/staging/mahout/trunk/content/developers/patch-check-list.html
    
websites/staging/mahout/trunk/content/developers/thirdparty-dependencies.html
    websites/staging/mahout/trunk/content/developers/version-control.html
    websites/staging/mahout/trunk/content/general/books-tutorials-and-talks.html
    websites/staging/mahout/trunk/content/general/downloads.html
    websites/staging/mahout/trunk/content/general/faq.html
    websites/staging/mahout/trunk/content/general/glossary.html
    websites/staging/mahout/trunk/content/general/mahout-benchmarks.html
    websites/staging/mahout/trunk/content/general/mahout-wiki.html
    
websites/staging/mahout/trunk/content/general/mailing-lists,-irc-and-archives.html
    websites/staging/mahout/trunk/content/general/powered-by-mahout.html
    websites/staging/mahout/trunk/content/general/privacy-policy.html
    websites/staging/mahout/trunk/content/general/professional-support.html
    websites/staging/mahout/trunk/content/general/reference-reading.html
    websites/staging/mahout/trunk/content/general/release-notes.html
    websites/staging/mahout/trunk/content/general/who-we-are.html
    websites/staging/mahout/trunk/content/index.html
    websites/staging/mahout/trunk/content/overview.html
    websites/staging/mahout/trunk/content/users/basics/algorithms.html
    websites/staging/mahout/trunk/content/users/basics/collections.html
    websites/staging/mahout/trunk/content/users/basics/collocations.html
    
websites/staging/mahout/trunk/content/users/basics/creating-vectors-from-text.html
    websites/staging/mahout/trunk/content/users/basics/creating-vectors.html
    
websites/staging/mahout/trunk/content/users/basics/gaussian-discriminative-analysis.html
    
websites/staging/mahout/trunk/content/users/basics/independent-component-analysis.html
    websites/staging/mahout/trunk/content/users/basics/mahout-collections.html
    websites/staging/mahout/trunk/content/users/basics/mahoutintegration.html
    
websites/staging/mahout/trunk/content/users/basics/matrix-and-vector-needs.html
    
websites/staging/mahout/trunk/content/users/basics/principal-components-analysis.html
    websites/staging/mahout/trunk/content/users/basics/quickstart.html
    
websites/staging/mahout/trunk/content/users/basics/svd---singular-value-decomposition.html
    websites/staging/mahout/trunk/content/users/basics/system-requirements.html
    
websites/staging/mahout/trunk/content/users/basics/tf-idf---term-frequency-inverse-document-frequency.html
    
websites/staging/mahout/trunk/content/users/classification/bankmarketing-example.html
    
websites/staging/mahout/trunk/content/users/classification/bayesian-commandline.html
    websites/staging/mahout/trunk/content/users/classification/bayesian.html
    
websites/staging/mahout/trunk/content/users/classification/breiman-example.html
    
websites/staging/mahout/trunk/content/users/classification/class-discovery.html
    
websites/staging/mahout/trunk/content/users/classification/classifyingyourdata.html
    
websites/staging/mahout/trunk/content/users/classification/hidden-markov-models.html
    
websites/staging/mahout/trunk/content/users/classification/locally-weighted-linear-regression.html
    
websites/staging/mahout/trunk/content/users/classification/logistic-regression.html
    websites/staging/mahout/trunk/content/users/classification/naivebayes.html
    
websites/staging/mahout/trunk/content/users/classification/neural-network.html
    
websites/staging/mahout/trunk/content/users/classification/partial-implementation.html
    
websites/staging/mahout/trunk/content/users/classification/random-forests.html
    
websites/staging/mahout/trunk/content/users/classification/restricted-boltzmann-machines.html
    
websites/staging/mahout/trunk/content/users/classification/support-vector-machines.html
    
websites/staging/mahout/trunk/content/users/classification/twenty-newsgroups.html
    websites/staging/mahout/trunk/content/users/clustering/20newsgroups.html
    
websites/staging/mahout/trunk/content/users/clustering/canopy-clustering.html
    
websites/staging/mahout/trunk/content/users/clustering/canopy-commandline.html
    websites/staging/mahout/trunk/content/users/clustering/cluster-dumper.html
    
websites/staging/mahout/trunk/content/users/clustering/clustering-of-synthetic-control-data.html
    
websites/staging/mahout/trunk/content/users/clustering/clustering-seinfeld-episodes.html
    
websites/staging/mahout/trunk/content/users/clustering/clusteringyourdata.html
    
websites/staging/mahout/trunk/content/users/clustering/expectation-maximization.html
    
websites/staging/mahout/trunk/content/users/clustering/fuzzy-k-means-commandline.html
    websites/staging/mahout/trunk/content/users/clustering/fuzzy-k-means.html
    
websites/staging/mahout/trunk/content/users/clustering/hierarchical-clustering.html
    
websites/staging/mahout/trunk/content/users/clustering/k-means-clustering.html
    
websites/staging/mahout/trunk/content/users/clustering/k-means-commandline.html
    
websites/staging/mahout/trunk/content/users/clustering/latent-dirichlet-allocation.html
    websites/staging/mahout/trunk/content/users/clustering/lda-commandline.html
    
websites/staging/mahout/trunk/content/users/clustering/llr---log-likelihood-ratio.html
    
websites/staging/mahout/trunk/content/users/clustering/spectral-clustering.html
    
websites/staging/mahout/trunk/content/users/clustering/streaming-k-means.html
    websites/staging/mahout/trunk/content/users/clustering/viewing-result.html
    websites/staging/mahout/trunk/content/users/clustering/viewing-results.html
    
websites/staging/mahout/trunk/content/users/clustering/visualizing-sample-clusters.html
    
websites/staging/mahout/trunk/content/users/dim-reduction/dimensional-reduction.html
    websites/staging/mahout/trunk/content/users/dim-reduction/ssvd.html
    
websites/staging/mahout/trunk/content/users/mapreduce/classification/bankmarketing-example.html
    
websites/staging/mahout/trunk/content/users/mapreduce/classification/bayesian-commandline.html
    
websites/staging/mahout/trunk/content/users/mapreduce/classification/bayesian.html
    
websites/staging/mahout/trunk/content/users/mapreduce/classification/breiman-example.html
    
websites/staging/mahout/trunk/content/users/mapreduce/classification/class-discovery.html
    
websites/staging/mahout/trunk/content/users/mapreduce/classification/classifyingyourdata.html
    
websites/staging/mahout/trunk/content/users/mapreduce/classification/hidden-markov-models.html
    
websites/staging/mahout/trunk/content/users/mapreduce/classification/locally-weighted-linear-regression.html
    
websites/staging/mahout/trunk/content/users/mapreduce/classification/logistic-regression.html
    
websites/staging/mahout/trunk/content/users/mapreduce/classification/naivebayes.html
    
websites/staging/mahout/trunk/content/users/mapreduce/classification/neural-network.html
    
websites/staging/mahout/trunk/content/users/mapreduce/classification/partial-implementation.html
    
websites/staging/mahout/trunk/content/users/mapreduce/classification/random-forests.html
    
websites/staging/mahout/trunk/content/users/mapreduce/classification/restricted-boltzmann-machines.html
    
websites/staging/mahout/trunk/content/users/mapreduce/classification/support-vector-machines.html
    
websites/staging/mahout/trunk/content/users/mapreduce/classification/twenty-newsgroups.html
    
websites/staging/mahout/trunk/content/users/mapreduce/clustering/20newsgroups.html
    
websites/staging/mahout/trunk/content/users/mapreduce/clustering/canopy-clustering.html
    
websites/staging/mahout/trunk/content/users/mapreduce/clustering/canopy-commandline.html
    
websites/staging/mahout/trunk/content/users/mapreduce/clustering/cluster-dumper.html
    
websites/staging/mahout/trunk/content/users/mapreduce/clustering/clustering-of-synthetic-control-data.html
    
websites/staging/mahout/trunk/content/users/mapreduce/clustering/clustering-seinfeld-episodes.html
    
websites/staging/mahout/trunk/content/users/mapreduce/clustering/clusteringyourdata.html
    
websites/staging/mahout/trunk/content/users/mapreduce/clustering/expectation-maximization.html
    
websites/staging/mahout/trunk/content/users/mapreduce/clustering/fuzzy-k-means-commandline.html
    
websites/staging/mahout/trunk/content/users/mapreduce/clustering/fuzzy-k-means.html
    
websites/staging/mahout/trunk/content/users/mapreduce/clustering/hierarchical-clustering.html
    
websites/staging/mahout/trunk/content/users/mapreduce/clustering/k-means-clustering.html
    
websites/staging/mahout/trunk/content/users/mapreduce/clustering/k-means-commandline.html
    
websites/staging/mahout/trunk/content/users/mapreduce/clustering/latent-dirichlet-allocation.html
    
websites/staging/mahout/trunk/content/users/mapreduce/clustering/lda-commandline.html
    
websites/staging/mahout/trunk/content/users/mapreduce/clustering/llr---log-likelihood-ratio.html
    
websites/staging/mahout/trunk/content/users/mapreduce/clustering/spectral-clustering.html
    
websites/staging/mahout/trunk/content/users/mapreduce/clustering/streaming-k-means.html
    
websites/staging/mahout/trunk/content/users/mapreduce/clustering/viewing-result.html
    
websites/staging/mahout/trunk/content/users/mapreduce/clustering/viewing-results.html
    
websites/staging/mahout/trunk/content/users/mapreduce/clustering/visualizing-sample-clusters.html
    
websites/staging/mahout/trunk/content/users/mapreduce/recommender/intro-als-hadoop.html
    
websites/staging/mahout/trunk/content/users/mapreduce/recommender/intro-cooccurrence-spark.html
    
websites/staging/mahout/trunk/content/users/mapreduce/recommender/intro-itembased-hadoop.html
    
websites/staging/mahout/trunk/content/users/mapreduce/recommender/matrix-factorization.html
    
websites/staging/mahout/trunk/content/users/mapreduce/recommender/quickstart.html
    
websites/staging/mahout/trunk/content/users/mapreduce/recommender/recommender-documentation.html
    
websites/staging/mahout/trunk/content/users/mapreduce/recommender/recommender-first-timer-faq.html
    
websites/staging/mahout/trunk/content/users/mapreduce/recommender/userbased-5-minutes.html
    websites/staging/mahout/trunk/content/users/misc/mr---map-reduce.html
    
websites/staging/mahout/trunk/content/users/misc/parallel-frequent-pattern-mining.html
    websites/staging/mahout/trunk/content/users/misc/perceptron-and-winnow.html
    websites/staging/mahout/trunk/content/users/misc/testing.html
    
websites/staging/mahout/trunk/content/users/misc/using-mahout-with-python-via-jpype.html
    
websites/staging/mahout/trunk/content/users/recommender/intro-als-hadoop.html
    
websites/staging/mahout/trunk/content/users/recommender/intro-cooccurrence-spark.html
    
websites/staging/mahout/trunk/content/users/recommender/intro-itembased-hadoop.html
    
websites/staging/mahout/trunk/content/users/recommender/matrix-factorization.html
    websites/staging/mahout/trunk/content/users/recommender/quickstart.html
    
websites/staging/mahout/trunk/content/users/recommender/recommender-documentation.html
    
websites/staging/mahout/trunk/content/users/recommender/recommender-first-timer-faq.html
    
websites/staging/mahout/trunk/content/users/recommender/userbased-5-minutes.html
    websites/staging/mahout/trunk/content/users/sparkbindings/faq.html
    websites/staging/mahout/trunk/content/users/sparkbindings/home.html
    
websites/staging/mahout/trunk/content/users/sparkbindings/play-with-shell.html

Propchange: websites/staging/mahout/trunk/content/
------------------------------------------------------------------------------
--- cms:source-revision (original)
+++ cms:source-revision Fri Mar 20 00:18:15 2015
@@ -1 +1 @@
-1667878
+1667907

Modified: websites/staging/mahout/trunk/content/developers/buildingmahout.html
==============================================================================
--- websites/staging/mahout/trunk/content/developers/buildingmahout.html 
(original)
+++ websites/staging/mahout/trunk/content/developers/buildingmahout.html Fri 
Mar 20 00:18:15 2015
@@ -159,6 +159,7 @@
                 <ul class="dropdown-menu">
                   <li><a href="/users/sparkbindings/home.html">Scala &amp; 
Spark Bindings Overview</a></li>
                   <li><a 
href="/users/sparkbindings/play-with-shell.html">Playing with Mahout's Spark 
Shell</a></li>
+                  <li><a href="/users/algorithms/d-qr.html">Distributed 
QR</a></li>
                              <li class="divider"></li>
                   <li><a href="/users/sparkbindings/faq.html">FAQ</a></li>
                 </ul>

Modified: 
websites/staging/mahout/trunk/content/developers/developer-resources.html
==============================================================================
--- websites/staging/mahout/trunk/content/developers/developer-resources.html 
(original)
+++ websites/staging/mahout/trunk/content/developers/developer-resources.html 
Fri Mar 20 00:18:15 2015
@@ -159,6 +159,7 @@
                 <ul class="dropdown-menu">
                   <li><a href="/users/sparkbindings/home.html">Scala &amp; 
Spark Bindings Overview</a></li>
                   <li><a 
href="/users/sparkbindings/play-with-shell.html">Playing with Mahout's Spark 
Shell</a></li>
+                  <li><a href="/users/algorithms/d-qr.html">Distributed 
QR</a></li>
                              <li class="divider"></li>
                   <li><a href="/users/sparkbindings/faq.html">FAQ</a></li>
                 </ul>

Modified: websites/staging/mahout/trunk/content/developers/github.html
==============================================================================
--- websites/staging/mahout/trunk/content/developers/github.html (original)
+++ websites/staging/mahout/trunk/content/developers/github.html Fri Mar 20 
00:18:15 2015
@@ -159,6 +159,7 @@
                 <ul class="dropdown-menu">
                   <li><a href="/users/sparkbindings/home.html">Scala &amp; 
Spark Bindings Overview</a></li>
                   <li><a 
href="/users/sparkbindings/play-with-shell.html">Playing with Mahout's Spark 
Shell</a></li>
+                  <li><a href="/users/algorithms/d-qr.html">Distributed 
QR</a></li>
                              <li class="divider"></li>
                   <li><a href="/users/sparkbindings/faq.html">FAQ</a></li>
                 </ul>

Modified: websites/staging/mahout/trunk/content/developers/gsoc.html
==============================================================================
--- websites/staging/mahout/trunk/content/developers/gsoc.html (original)
+++ websites/staging/mahout/trunk/content/developers/gsoc.html Fri Mar 20 
00:18:15 2015
@@ -159,6 +159,7 @@
                 <ul class="dropdown-menu">
                   <li><a href="/users/sparkbindings/home.html">Scala &amp; 
Spark Bindings Overview</a></li>
                   <li><a 
href="/users/sparkbindings/play-with-shell.html">Playing with Mahout's Spark 
Shell</a></li>
+                  <li><a href="/users/algorithms/d-qr.html">Distributed 
QR</a></li>
                              <li class="divider"></li>
                   <li><a href="/users/sparkbindings/faq.html">FAQ</a></li>
                 </ul>

Modified: 
websites/staging/mahout/trunk/content/developers/how-to-become-a-committer.html
==============================================================================
--- 
websites/staging/mahout/trunk/content/developers/how-to-become-a-committer.html 
(original)
+++ 
websites/staging/mahout/trunk/content/developers/how-to-become-a-committer.html 
Fri Mar 20 00:18:15 2015
@@ -159,6 +159,7 @@
                 <ul class="dropdown-menu">
                   <li><a href="/users/sparkbindings/home.html">Scala &amp; 
Spark Bindings Overview</a></li>
                   <li><a 
href="/users/sparkbindings/play-with-shell.html">Playing with Mahout's Spark 
Shell</a></li>
+                  <li><a href="/users/algorithms/d-qr.html">Distributed 
QR</a></li>
                              <li class="divider"></li>
                   <li><a href="/users/sparkbindings/faq.html">FAQ</a></li>
                 </ul>

Modified: 
websites/staging/mahout/trunk/content/developers/how-to-contribute.html
==============================================================================
--- websites/staging/mahout/trunk/content/developers/how-to-contribute.html 
(original)
+++ websites/staging/mahout/trunk/content/developers/how-to-contribute.html Fri 
Mar 20 00:18:15 2015
@@ -159,6 +159,7 @@
                 <ul class="dropdown-menu">
                   <li><a href="/users/sparkbindings/home.html">Scala &amp; 
Spark Bindings Overview</a></li>
                   <li><a 
href="/users/sparkbindings/play-with-shell.html">Playing with Mahout's Spark 
Shell</a></li>
+                  <li><a href="/users/algorithms/d-qr.html">Distributed 
QR</a></li>
                              <li class="divider"></li>
                   <li><a href="/users/sparkbindings/faq.html">FAQ</a></li>
                 </ul>

Modified: websites/staging/mahout/trunk/content/developers/how-to-release.html
==============================================================================
--- websites/staging/mahout/trunk/content/developers/how-to-release.html 
(original)
+++ websites/staging/mahout/trunk/content/developers/how-to-release.html Fri 
Mar 20 00:18:15 2015
@@ -159,6 +159,7 @@
                 <ul class="dropdown-menu">
                   <li><a href="/users/sparkbindings/home.html">Scala &amp; 
Spark Bindings Overview</a></li>
                   <li><a 
href="/users/sparkbindings/play-with-shell.html">Playing with Mahout's Spark 
Shell</a></li>
+                  <li><a href="/users/algorithms/d-qr.html">Distributed 
QR</a></li>
                              <li class="divider"></li>
                   <li><a href="/users/sparkbindings/faq.html">FAQ</a></li>
                 </ul>

Modified: 
websites/staging/mahout/trunk/content/developers/how-to-update-the-website.html
==============================================================================
--- 
websites/staging/mahout/trunk/content/developers/how-to-update-the-website.html 
(original)
+++ 
websites/staging/mahout/trunk/content/developers/how-to-update-the-website.html 
Fri Mar 20 00:18:15 2015
@@ -159,6 +159,7 @@
                 <ul class="dropdown-menu">
                   <li><a href="/users/sparkbindings/home.html">Scala &amp; 
Spark Bindings Overview</a></li>
                   <li><a 
href="/users/sparkbindings/play-with-shell.html">Playing with Mahout's Spark 
Shell</a></li>
+                  <li><a href="/users/algorithms/d-qr.html">Distributed 
QR</a></li>
                              <li class="divider"></li>
                   <li><a href="/users/sparkbindings/faq.html">FAQ</a></li>
                 </ul>

Modified: websites/staging/mahout/trunk/content/developers/issue-tracker.html
==============================================================================
--- websites/staging/mahout/trunk/content/developers/issue-tracker.html 
(original)
+++ websites/staging/mahout/trunk/content/developers/issue-tracker.html Fri Mar 
20 00:18:15 2015
@@ -159,6 +159,7 @@
                 <ul class="dropdown-menu">
                   <li><a href="/users/sparkbindings/home.html">Scala &amp; 
Spark Bindings Overview</a></li>
                   <li><a 
href="/users/sparkbindings/play-with-shell.html">Playing with Mahout's Spark 
Shell</a></li>
+                  <li><a href="/users/algorithms/d-qr.html">Distributed 
QR</a></li>
                              <li class="divider"></li>
                   <li><a href="/users/sparkbindings/faq.html">FAQ</a></li>
                 </ul>

Modified: websites/staging/mahout/trunk/content/developers/patch-check-list.html
==============================================================================
--- websites/staging/mahout/trunk/content/developers/patch-check-list.html 
(original)
+++ websites/staging/mahout/trunk/content/developers/patch-check-list.html Fri 
Mar 20 00:18:15 2015
@@ -159,6 +159,7 @@
                 <ul class="dropdown-menu">
                   <li><a href="/users/sparkbindings/home.html">Scala &amp; 
Spark Bindings Overview</a></li>
                   <li><a 
href="/users/sparkbindings/play-with-shell.html">Playing with Mahout's Spark 
Shell</a></li>
+                  <li><a href="/users/algorithms/d-qr.html">Distributed 
QR</a></li>
                              <li class="divider"></li>
                   <li><a href="/users/sparkbindings/faq.html">FAQ</a></li>
                 </ul>

Modified: 
websites/staging/mahout/trunk/content/developers/thirdparty-dependencies.html
==============================================================================
--- 
websites/staging/mahout/trunk/content/developers/thirdparty-dependencies.html 
(original)
+++ 
websites/staging/mahout/trunk/content/developers/thirdparty-dependencies.html 
Fri Mar 20 00:18:15 2015
@@ -159,6 +159,7 @@
                 <ul class="dropdown-menu">
                   <li><a href="/users/sparkbindings/home.html">Scala &amp; 
Spark Bindings Overview</a></li>
                   <li><a 
href="/users/sparkbindings/play-with-shell.html">Playing with Mahout's Spark 
Shell</a></li>
+                  <li><a href="/users/algorithms/d-qr.html">Distributed 
QR</a></li>
                              <li class="divider"></li>
                   <li><a href="/users/sparkbindings/faq.html">FAQ</a></li>
                 </ul>

Modified: websites/staging/mahout/trunk/content/developers/version-control.html
==============================================================================
--- websites/staging/mahout/trunk/content/developers/version-control.html 
(original)
+++ websites/staging/mahout/trunk/content/developers/version-control.html Fri 
Mar 20 00:18:15 2015
@@ -159,6 +159,7 @@
                 <ul class="dropdown-menu">
                   <li><a href="/users/sparkbindings/home.html">Scala &amp; 
Spark Bindings Overview</a></li>
                   <li><a 
href="/users/sparkbindings/play-with-shell.html">Playing with Mahout's Spark 
Shell</a></li>
+                  <li><a href="/users/algorithms/d-qr.html">Distributed 
QR</a></li>
                              <li class="divider"></li>
                   <li><a href="/users/sparkbindings/faq.html">FAQ</a></li>
                 </ul>

Modified: 
websites/staging/mahout/trunk/content/general/books-tutorials-and-talks.html
==============================================================================
--- 
websites/staging/mahout/trunk/content/general/books-tutorials-and-talks.html 
(original)
+++ 
websites/staging/mahout/trunk/content/general/books-tutorials-and-talks.html 
Fri Mar 20 00:18:15 2015
@@ -159,6 +159,7 @@
                 <ul class="dropdown-menu">
                   <li><a href="/users/sparkbindings/home.html">Scala &amp; 
Spark Bindings Overview</a></li>
                   <li><a 
href="/users/sparkbindings/play-with-shell.html">Playing with Mahout's Spark 
Shell</a></li>
+                  <li><a href="/users/algorithms/d-qr.html">Distributed 
QR</a></li>
                              <li class="divider"></li>
                   <li><a href="/users/sparkbindings/faq.html">FAQ</a></li>
                 </ul>

Modified: websites/staging/mahout/trunk/content/general/downloads.html
==============================================================================
--- websites/staging/mahout/trunk/content/general/downloads.html (original)
+++ websites/staging/mahout/trunk/content/general/downloads.html Fri Mar 20 
00:18:15 2015
@@ -159,6 +159,7 @@
                 <ul class="dropdown-menu">
                   <li><a href="/users/sparkbindings/home.html">Scala &amp; 
Spark Bindings Overview</a></li>
                   <li><a 
href="/users/sparkbindings/play-with-shell.html">Playing with Mahout's Spark 
Shell</a></li>
+                  <li><a href="/users/algorithms/d-qr.html">Distributed 
QR</a></li>
                              <li class="divider"></li>
                   <li><a href="/users/sparkbindings/faq.html">FAQ</a></li>
                 </ul>

Modified: websites/staging/mahout/trunk/content/general/faq.html
==============================================================================
--- websites/staging/mahout/trunk/content/general/faq.html (original)
+++ websites/staging/mahout/trunk/content/general/faq.html Fri Mar 20 00:18:15 
2015
@@ -159,6 +159,7 @@
                 <ul class="dropdown-menu">
                   <li><a href="/users/sparkbindings/home.html">Scala &amp; 
Spark Bindings Overview</a></li>
                   <li><a 
href="/users/sparkbindings/play-with-shell.html">Playing with Mahout's Spark 
Shell</a></li>
+                  <li><a href="/users/algorithms/d-qr.html">Distributed 
QR</a></li>
                              <li class="divider"></li>
                   <li><a href="/users/sparkbindings/faq.html">FAQ</a></li>
                 </ul>

Modified: websites/staging/mahout/trunk/content/general/glossary.html
==============================================================================
--- websites/staging/mahout/trunk/content/general/glossary.html (original)
+++ websites/staging/mahout/trunk/content/general/glossary.html Fri Mar 20 
00:18:15 2015
@@ -159,6 +159,7 @@
                 <ul class="dropdown-menu">
                   <li><a href="/users/sparkbindings/home.html">Scala &amp; 
Spark Bindings Overview</a></li>
                   <li><a 
href="/users/sparkbindings/play-with-shell.html">Playing with Mahout's Spark 
Shell</a></li>
+                  <li><a href="/users/algorithms/d-qr.html">Distributed 
QR</a></li>
                              <li class="divider"></li>
                   <li><a href="/users/sparkbindings/faq.html">FAQ</a></li>
                 </ul>

Modified: websites/staging/mahout/trunk/content/general/mahout-benchmarks.html
==============================================================================
--- websites/staging/mahout/trunk/content/general/mahout-benchmarks.html 
(original)
+++ websites/staging/mahout/trunk/content/general/mahout-benchmarks.html Fri 
Mar 20 00:18:15 2015
@@ -159,6 +159,7 @@
                 <ul class="dropdown-menu">
                   <li><a href="/users/sparkbindings/home.html">Scala &amp; 
Spark Bindings Overview</a></li>
                   <li><a 
href="/users/sparkbindings/play-with-shell.html">Playing with Mahout's Spark 
Shell</a></li>
+                  <li><a href="/users/algorithms/d-qr.html">Distributed 
QR</a></li>
                              <li class="divider"></li>
                   <li><a href="/users/sparkbindings/faq.html">FAQ</a></li>
                 </ul>

Modified: websites/staging/mahout/trunk/content/general/mahout-wiki.html
==============================================================================
--- websites/staging/mahout/trunk/content/general/mahout-wiki.html (original)
+++ websites/staging/mahout/trunk/content/general/mahout-wiki.html Fri Mar 20 
00:18:15 2015
@@ -159,6 +159,7 @@
                 <ul class="dropdown-menu">
                   <li><a href="/users/sparkbindings/home.html">Scala &amp; 
Spark Bindings Overview</a></li>
                   <li><a 
href="/users/sparkbindings/play-with-shell.html">Playing with Mahout's Spark 
Shell</a></li>
+                  <li><a href="/users/algorithms/d-qr.html">Distributed 
QR</a></li>
                              <li class="divider"></li>
                   <li><a href="/users/sparkbindings/faq.html">FAQ</a></li>
                 </ul>

Modified: 
websites/staging/mahout/trunk/content/general/mailing-lists,-irc-and-archives.html
==============================================================================
--- 
websites/staging/mahout/trunk/content/general/mailing-lists,-irc-and-archives.html
 (original)
+++ 
websites/staging/mahout/trunk/content/general/mailing-lists,-irc-and-archives.html
 Fri Mar 20 00:18:15 2015
@@ -159,6 +159,7 @@
                 <ul class="dropdown-menu">
                   <li><a href="/users/sparkbindings/home.html">Scala &amp; 
Spark Bindings Overview</a></li>
                   <li><a 
href="/users/sparkbindings/play-with-shell.html">Playing with Mahout's Spark 
Shell</a></li>
+                  <li><a href="/users/algorithms/d-qr.html">Distributed 
QR</a></li>
                              <li class="divider"></li>
                   <li><a href="/users/sparkbindings/faq.html">FAQ</a></li>
                 </ul>

Modified: websites/staging/mahout/trunk/content/general/powered-by-mahout.html
==============================================================================
--- websites/staging/mahout/trunk/content/general/powered-by-mahout.html 
(original)
+++ websites/staging/mahout/trunk/content/general/powered-by-mahout.html Fri 
Mar 20 00:18:15 2015
@@ -159,6 +159,7 @@
                 <ul class="dropdown-menu">
                   <li><a href="/users/sparkbindings/home.html">Scala &amp; 
Spark Bindings Overview</a></li>
                   <li><a 
href="/users/sparkbindings/play-with-shell.html">Playing with Mahout's Spark 
Shell</a></li>
+                  <li><a href="/users/algorithms/d-qr.html">Distributed 
QR</a></li>
                              <li class="divider"></li>
                   <li><a href="/users/sparkbindings/faq.html">FAQ</a></li>
                 </ul>

Modified: websites/staging/mahout/trunk/content/general/privacy-policy.html
==============================================================================
--- websites/staging/mahout/trunk/content/general/privacy-policy.html (original)
+++ websites/staging/mahout/trunk/content/general/privacy-policy.html Fri Mar 
20 00:18:15 2015
@@ -159,6 +159,7 @@
                 <ul class="dropdown-menu">
                   <li><a href="/users/sparkbindings/home.html">Scala &amp; 
Spark Bindings Overview</a></li>
                   <li><a 
href="/users/sparkbindings/play-with-shell.html">Playing with Mahout's Spark 
Shell</a></li>
+                  <li><a href="/users/algorithms/d-qr.html">Distributed 
QR</a></li>
                              <li class="divider"></li>
                   <li><a href="/users/sparkbindings/faq.html">FAQ</a></li>
                 </ul>

Modified: 
websites/staging/mahout/trunk/content/general/professional-support.html
==============================================================================
--- websites/staging/mahout/trunk/content/general/professional-support.html 
(original)
+++ websites/staging/mahout/trunk/content/general/professional-support.html Fri 
Mar 20 00:18:15 2015
@@ -159,6 +159,7 @@
                 <ul class="dropdown-menu">
                   <li><a href="/users/sparkbindings/home.html">Scala &amp; 
Spark Bindings Overview</a></li>
                   <li><a 
href="/users/sparkbindings/play-with-shell.html">Playing with Mahout's Spark 
Shell</a></li>
+                  <li><a href="/users/algorithms/d-qr.html">Distributed 
QR</a></li>
                              <li class="divider"></li>
                   <li><a href="/users/sparkbindings/faq.html">FAQ</a></li>
                 </ul>

Modified: websites/staging/mahout/trunk/content/general/reference-reading.html
==============================================================================
--- websites/staging/mahout/trunk/content/general/reference-reading.html 
(original)
+++ websites/staging/mahout/trunk/content/general/reference-reading.html Fri 
Mar 20 00:18:15 2015
@@ -159,6 +159,7 @@
                 <ul class="dropdown-menu">
                   <li><a href="/users/sparkbindings/home.html">Scala &amp; 
Spark Bindings Overview</a></li>
                   <li><a 
href="/users/sparkbindings/play-with-shell.html">Playing with Mahout's Spark 
Shell</a></li>
+                  <li><a href="/users/algorithms/d-qr.html">Distributed 
QR</a></li>
                              <li class="divider"></li>
                   <li><a href="/users/sparkbindings/faq.html">FAQ</a></li>
                 </ul>

Modified: websites/staging/mahout/trunk/content/general/release-notes.html
==============================================================================
--- websites/staging/mahout/trunk/content/general/release-notes.html (original)
+++ websites/staging/mahout/trunk/content/general/release-notes.html Fri Mar 20 
00:18:15 2015
@@ -159,6 +159,7 @@
                 <ul class="dropdown-menu">
                   <li><a href="/users/sparkbindings/home.html">Scala &amp; 
Spark Bindings Overview</a></li>
                   <li><a 
href="/users/sparkbindings/play-with-shell.html">Playing with Mahout's Spark 
Shell</a></li>
+                  <li><a href="/users/algorithms/d-qr.html">Distributed 
QR</a></li>
                              <li class="divider"></li>
                   <li><a href="/users/sparkbindings/faq.html">FAQ</a></li>
                 </ul>

Modified: websites/staging/mahout/trunk/content/general/who-we-are.html
==============================================================================
--- websites/staging/mahout/trunk/content/general/who-we-are.html (original)
+++ websites/staging/mahout/trunk/content/general/who-we-are.html Fri Mar 20 
00:18:15 2015
@@ -159,6 +159,7 @@
                 <ul class="dropdown-menu">
                   <li><a href="/users/sparkbindings/home.html">Scala &amp; 
Spark Bindings Overview</a></li>
                   <li><a 
href="/users/sparkbindings/play-with-shell.html">Playing with Mahout's Spark 
Shell</a></li>
+                  <li><a href="/users/algorithms/d-qr.html">Distributed 
QR</a></li>
                              <li class="divider"></li>
                   <li><a href="/users/sparkbindings/faq.html">FAQ</a></li>
                 </ul>

Modified: websites/staging/mahout/trunk/content/index.html
==============================================================================
--- websites/staging/mahout/trunk/content/index.html (original)
+++ websites/staging/mahout/trunk/content/index.html Fri Mar 20 00:18:15 2015
@@ -159,6 +159,7 @@
                 <ul class="dropdown-menu">
                   <li><a href="/users/sparkbindings/home.html">Scala &amp; 
Spark Bindings Overview</a></li>
                   <li><a 
href="/users/sparkbindings/play-with-shell.html">Playing with Mahout's Spark 
Shell</a></li>
+                  <li><a href="/users/algorithms/d-qr.html">Distributed 
QR</a></li>
                              <li class="divider"></li>
                   <li><a href="/users/sparkbindings/faq.html">FAQ</a></li>
                 </ul>

Modified: websites/staging/mahout/trunk/content/overview.html
==============================================================================
--- websites/staging/mahout/trunk/content/overview.html (original)
+++ websites/staging/mahout/trunk/content/overview.html Fri Mar 20 00:18:15 2015
@@ -159,6 +159,7 @@
                 <ul class="dropdown-menu">
                   <li><a href="/users/sparkbindings/home.html">Scala &amp; 
Spark Bindings Overview</a></li>
                   <li><a 
href="/users/sparkbindings/play-with-shell.html">Playing with Mahout's Spark 
Shell</a></li>
+                  <li><a href="/users/algorithms/d-qr.html">Distributed 
QR</a></li>
                              <li class="divider"></li>
                   <li><a href="/users/sparkbindings/faq.html">FAQ</a></li>
                 </ul>

Added: websites/staging/mahout/trunk/content/users/algorithms/d-qr.html
==============================================================================
--- websites/staging/mahout/trunk/content/users/algorithms/d-qr.html (added)
+++ websites/staging/mahout/trunk/content/users/algorithms/d-qr.html Fri Mar 20 
00:18:15 2015
@@ -0,0 +1,316 @@
+<!DOCTYPE html>
+<!--
+
+    Licensed to the Apache Software Foundation (ASF) under one or more
+    contributor license agreements.  See the NOTICE file distributed with
+    this work for additional information regarding copyright ownership.
+    The ASF licenses this file to You under the Apache License, Version 2.0
+    (the "License"); you may not use this file except in compliance with
+    the License.  You may obtain a copy of the License at
+
+       http://www.apache.org/licenses/LICENSE-2.0
+
+    Unless required by applicable law or agreed to in writing, software
+    distributed under the License is distributed on an "AS IS" BASIS,
+    WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+    See the License for the specific language governing permissions and
+    limitations under the License.
+-->
+
+<html xmlns="http://www.w3.org/1999/xhtml"; xml:lang="en" lang="en"><head><meta 
http-equiv="Content-Type" content="text/html; charset=UTF-8">
+  <title>Apache Mahout: Scalable machine learning and data mining</title>
+  <meta http-equiv="Content-Type" content="text/html; charset=utf-8">
+  <meta name="Distribution" content="Global">
+  <meta name="Robots" content="index,follow">
+  <meta name="keywords" content="apache, apache hadoop, apache lucene,
+        business data mining, cluster analysis,
+        collaborative filtering, data extraction, data filtering, data 
framework, data integration,
+        data matching, data mining, data mining algorithms, data mining 
analysis, data mining data,
+        data mining introduction, data mining software,
+        data mining techniques, data representation, data set, datamining,
+        feature extraction, fuzzy k means, genetic algorithm, hadoop,
+        hierarchical clustering, high dimensional, introduction to data 
mining, kmeans,
+        knowledge discovery, learning approach, learning approaches, learning 
methods,
+        learning techniques, lucene, machine learning, machine translation, 
mahout apache,
+        mahout taste, map reduce hadoop, mining data, mining methods, naive 
bayes,
+        natural language processing,
+        supervised, text mining, time series data, unsupervised, web data 
mining">
+  <link rel="shortcut icon" type="image/x-icon" 
href="http://mahout.apache.org/images/favicon.ico";>
+  <script type="text/javascript" src="/js/prototype.js"></script>
+  <script type="text/javascript" src="/js/effects.js"></script>
+  <script type="text/javascript" src="/js/search.js"></script>
+  <script type="text/javascript" src="/js/slides.js"></script>
+
+  <link href="/css/bootstrap.min.css" rel="stylesheet" media="screen">
+  <link href="/css/bootstrap-responsive.css" rel="stylesheet">
+  <link rel="stylesheet" href="/css/global.css" type="text/css">
+
+  <!-- mathJax stuff -- use `\(...\)` for inline style math in markdown -->
+  <script type="text/x-mathjax-config">
+  MathJax.Hub.Config({
+    tex2jax: {
+      skipTags: ['script', 'noscript', 'style', 'textarea', 'pre']
+    }
+  });
+  MathJax.Hub.Queue(function() {
+    var all = MathJax.Hub.getAllJax(), i;
+    for(i = 0; i < all.length; i += 1) {
+      all[i].SourceElement().parentNode.className += ' has-jax';
+    }
+  });
+  </script>
+  <script type="text/javascript">
+    var mathjax = document.createElement('script'); 
+    mathjax.type = 'text/javascript'; 
+    mathjax.async = true;
+
+    mathjax.src = ('https:' == document.location.protocol) ?
+        
'https://c328740.ssl.cf1.rackcdn.com/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML'
 : 
+        
'http://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML';
+       
+         var s = document.getElementsByTagName('script')[0]; 
+    s.parentNode.insertBefore(mathjax, s);
+  </script>
+</head>
+
+<body id="home" data-twttr-rendered="true">
+  <div id="wrap">
+   <div id="header">
+    <div id="logo"><a href="/overview.html"></a></div>
+  <div id="search">
+    <form id="search-form" action="http://www.google.com/search"; method="get" 
class="navbar-search pull-right">    
+      <input value="http://mahout.apache.org"; name="sitesearch" type="hidden">
+      <input class="search-query" name="q" id="query" type="text">
+      <input id="submission" type="image" src="/images/mahout-lupe.png" 
alt="Search" />
+    </form>
+  </div>
+
+    <div class="navbar navbar-inverse" 
style="position:absolute;top:133px;padding-right:0px;padding-left:0px;">
+      <div class="navbar-inner" style="border: none; background: #999; border: 
none; border-radius: 0px;">
+        <div class="container">
+          <button type="button" class="btn btn-navbar" data-toggle="collapse" 
data-target=".nav-collapse">
+            <span class="icon-bar"></span>
+            <span class="icon-bar"></span>
+            <span class="icon-bar"></span>
+          </button>
+          <!-- <a class="brand" href="#">Apache Community Development 
Project</a> -->
+          <div class="nav-collapse collapse">
+            <ul class="nav">
+              <li><a href="/">Home</a></li>
+              <li class="dropdown"> <a href="#" class="dropdown-toggle" 
data-toggle="dropdown">General<b class="caret"></b></a>
+                <ul class="dropdown-menu">
+                  <li><a href="/general/downloads.html">Downloads</a>
+                  <li><a href="/general/who-we-are.html">Who we are</a>
+                  <li><a 
href="/general/mailing-lists,-irc-and-archives.html">Mailing Lists</a>
+                  <li><a href="/general/release-notes.html">Release Notes</a> 
+                  <li><a href="/general/books-tutorials-and-talks.html">Books, 
Tutorials, Talks</a></li>
+                  <li><a href="/general/powered-by-mahout.html">Powered By 
Mahout</a>
+                  <li><a 
href="/general/professional-support.html">Professional Support</a>
+                  <li class="divider"></li>
+                  <li class="nav-header">Resources</li>
+                  <li><a href="/general/reference-reading.html">Reference 
Reading</a>
+                  <li><a href="/general/faq.html">FAQ</a>
+                  <li class="divider"></li>
+                  <li class="nav-header">Legal</li>
+                  <li><a 
href="http://www.apache.org/licenses/";>License</a></li>
+                  <li><a 
href="http://www.apache.org/security/";>Security</a></li>
+                  <li><a href="/general/privacy-policy.html">Privacy Policy</a>
+                </ul>
+              </li>
+              <li class="dropdown"> <a href="#" class="dropdown-toggle" 
data-toggle="dropdown">Developers<b class="caret"></b></a>
+                <ul class="dropdown-menu">
+                  <li><a href="/developers/developer-resources.html">Developer 
resources</a></li>
+                  <li><a href="/developers/version-control.html">Version 
control</a></li>
+                  <li><a href="/developers/buildingmahout.html">Build from 
source</a></li>
+                  <li><a href="/developers/issue-tracker.html">Issue 
tracker</a></li>
+                  <li><a href="https://builds.apache.org/job/Mahout-Quality/"; 
target="_blank">Code quality reports</a></li>
+                  <li class="divider"></li>
+                  <li class="nav-header">Contributions</li>
+                  <li><a href="/developers/how-to-contribute.html">How to 
contribute</a></li>
+                  <li><a href="/developers/how-to-become-a-committer.html">How 
to become a committer</a></li>
+                  <li><a href="/developers/gsoc.html">GSoC</a></li>
+                  <li class="divider"></li>
+                  <li class="nav-header">For committers</li>
+                  <li><a href="/developers/how-to-update-the-website.html">How 
to update the website</a></li>
+                  <li><a href="/developers/patch-check-list.html">Patch check 
list</a></li>
+                  <li><a href="/developers/github.html">Handling Github 
PRs</a></li>
+                  <li><a href="/developers/how-to-release.html">How to 
release</a></li>
+                  <li><a href="/developers/thirdparty-dependencies.html">Third 
party dependencies</a></li>
+                </ul>
+               </li>
+               <li class="dropdown"> <a href="#" class="dropdown-toggle" 
data-toggle="dropdown">Basics<b class="caret"></b></a>
+                 <ul class="dropdown-menu">
+                  <li><a href="/users/basics/algorithms.html">List of 
algorithms</a>
+                  <li><a href="/users/basics/quickstart.html">Quickstart</a>
+                  <li class="divider"></li>
+                  <li class="nav-header">Working with text</li>
+                  <li><a 
href="/users/basics/creating-vectors-from-text.html">Creating vectors from 
text</a>
+                  <li><a 
href="/users/basics/collocations.html">Collocations</a>
+                  <li class="divider"></li>
+                  <li class="nav-header">Dimensionality reduction</li>
+                  <li><a 
href="/users/dim-reduction/dimensional-reduction.html">Singular Value 
Decomposition</a></li>
+                  <li><a href="/users/dim-reduction/ssvd.html">Stochastic 
SVD</a></li>
+                  <li class="divider"></li>
+                  <li class="nav-header">Topic Models</li>      
+                  <li><a 
href="/users/clustering/latent-dirichlet-allocation.html">Latent Dirichlet 
Allocation</a></li>
+                </ul>
+                 </li>
+               <li class="dropdown"> <a href="#" class="dropdown-toggle" 
data-toggle="dropdown">Spark<b class="caret"></b></a>
+                <ul class="dropdown-menu">
+                  <li><a href="/users/sparkbindings/home.html">Scala &amp; 
Spark Bindings Overview</a></li>
+                  <li><a 
href="/users/sparkbindings/play-with-shell.html">Playing with Mahout's Spark 
Shell</a></li>
+                  <li><a href="/users/algorithms/d-qr.html">Distributed 
QR</a></li>
+                             <li class="divider"></li>
+                  <li><a href="/users/sparkbindings/faq.html">FAQ</a></li>
+                </ul>
+               </li>
+              <li class="dropdown"> <a href="#" class="dropdown-toggle" 
data-toggle="dropdown">Classification<b class="caret"></b></a>
+                <ul class="dropdown-menu">
+                  <li><a 
href="/users/mapreduce/classification/bayesian.html">Naive Bayes</a></li>
+                  <li><a 
href="/users/mapreduce/classification/hidden-markov-models.html">Hidden Markov 
Models</a></li>
+                  <li><a 
href="/users/mapreduce/classification/logistic-regression.html">Logistic 
Regression</a></li>
+                  <li><a 
href="/users/mapreduce/classification/partial-implementation.html">Random 
Forest</a></li>
+
+                  <li class="divider"></li>
+                  <li class="nav-header">Examples</li>
+                  <li><a 
href="/users/mapreduce/classification/breiman-example.html">Breiman 
example</a></li>
+                  <li><a 
href="/users/mapreduce/classification/twenty-newsgroups.html">20 newsgroups 
example</a></li>
+                </ul></li>
+               <li class="dropdown"> <a href="#" class="dropdown-toggle" 
data-toggle="dropdown">Clustering<b class="caret"></b></a>
+                <ul class="dropdown-menu">
+                <li><a 
href="/users/mapreduce/clustering/k-means-clustering.html">k-Means</a></li>
+                <li><a 
href="/users/mapreduce/clustering/canopy-clustering.html">Canopy</a></li>
+                <li><a 
href="/users/mapreduce/clustering/fuzzy-k-means.html">Fuzzy k-Means</a></li>
+                <li><a 
href="/users/mapreduce/clustering/streaming-k-means.html">Streaming 
KMeans</a></li>
+                <li><a 
href="/users/mapreduce/clustering/spectral-clustering.html">Spectral 
Clustering</a></li>
+                <li class="divider"></li>
+                <li class="nav-header">Commandline usage</li>
+                <li><a 
href="/users/mapreduce/clustering/k-means-commandline.html">Options for 
k-Means</a></li>
+                <li><a 
href="/users/mapreduce/clustering/canopy-commandline.html">Options for 
Canopy</a></li>
+                <li><a 
href="/users/mapreduce/clustering/fuzzy-k-means-commandline.html">Options for 
Fuzzy k-Means</a></li>
+                <li class="divider"></li>
+                <li class="nav-header">Examples</li>
+                <li><a 
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+   <div id="main">
+    <h1 id="distributed-thin-qr">Distributed thin QR</h1>
+<h2 id="intro">Intro</h2>
+<p>Mahout has a distributed implementation of QR decomposition for tall thin 
matricies[1].</p>
+<h2 id="algorithm">Algorithm</h2>
+<p>For the classic QR decomposition of the form 
<code>\(\mathbf{A}=\mathbf{QR},\mathbf{A}\in\mathbb{R}^{m\times n}\)</code> a 
distributed version is fairly easily achieved if <code>\(\mathbf{A}\)</code> is 
tall and thin such that <code>\(\mathbf{A}^{\top}\mathbf{A}\)</code> fits in 
memory, i.e. <em>m</em> is large but <em>n</em> &lt; ~5000 Under such 
circumstances, only <code>\(\mathbf{A}\)</code> and <code>\(\mathbf{Q}\)</code> 
are distributed matricies and <code>\(\mathbf{A^{\top}A}\)</code> and 
<code>\(\mathbf{R}\)</code> are in-core products. We just compute the in-core 
version of the Cholesky decomposition in the form of 
<code>\(\mathbf{LL}^{\top}= \mathbf{A}^{\top}\mathbf{A}\)</code>.  After that 
we take <code>\(\mathbf{R}= \mathbf{L}^{\top}\)</code> and 
<code>\(\mathbf{Q}=\mathbf{A}\left(\mathbf{L}^{\top}\right)^{-1}\)</code>.  The 
latter is easily achieved by multiplying each verticle block of 
<code>\(\mathbf{A}\)</code> by 
<code>\(\left(\mathbf{L}^{\top}\right)^{-1}\)</code
 >.  (There is no actual matrix inversion happening). </p>
+<h2 id="implementations">Implementations</h2>
+<p>Mahout <code>dqrThin(...)</code> is implemented in the mahout 
<code>math-scala</code> algebraic optimizer which translates Mahout's R-like 
linear algebra operators into a physical plan for both Spark and H2O 
distributed engines.</p>
+<div class="codehilite"><pre><span class="n">def</span> <span 
class="n">dqrThin</span><span class="p">[</span><span class="n">K</span><span 
class="p">:</span> <span class="n">ClassTag</span><span 
class="p">](</span><span class="n">A</span><span class="p">:</span> <span 
class="n">DrmLike</span><span class="p">[</span><span class="n">K</span><span 
class="p">],</span> <span class="n">checkRankDeficiency</span><span 
class="p">:</span> <span class="n">Boolean</span> <span class="p">=</span> 
<span class="n">true</span><span class="p">):</span> <span 
class="p">(</span><span class="n">DrmLike</span><span class="p">[</span><span 
class="n">K</span><span class="p">],</span> <span class="n">Matrix</span><span 
class="p">)</span> <span class="p">=</span> <span class="p">{</span>        
+    <span class="k">if</span> <span class="p">(</span><span 
class="n">drmA</span><span class="p">.</span><span class="n">ncol</span> <span 
class="o">&gt;</span> 5000<span class="p">)</span>
+        <span class="nb">log</span><span class="p">.</span><span 
class="n">warn</span><span class="p">(</span>&quot;<span class="n">A</span> 
<span class="n">is</span> <span class="n">too</span> <span 
class="n">fat</span><span class="p">.</span> <span class="n">A</span><span 
class="o">&#39;</span><span class="n">A</span> <span class="n">must</span> 
<span class="n">fit</span> <span class="n">in</span> <span 
class="n">memory</span> <span class="n">and</span> <span 
class="n">easily</span> <span class="n">broadcasted</span><span 
class="p">.</span>&quot;<span class="p">)</span>
+    <span class="n">implicit</span> <span class="n">val</span> <span 
class="n">ctx</span> <span class="p">=</span> <span class="n">drmA</span><span 
class="p">.</span><span class="n">context</span>
+    <span class="n">val</span> <span class="n">AtA</span> <span 
class="p">=</span> <span class="p">(</span><span class="n">drmA</span><span 
class="p">.</span><span class="n">t</span> <span class="c">%*% 
drmA).checkpoint()</span>
+    <span class="n">val</span> <span class="n">inCoreAtA</span> <span 
class="p">=</span> <span class="n">AtA</span><span class="p">.</span><span 
class="n">collect</span>
+    <span class="n">val</span> <span class="n">ch</span> <span 
class="p">=</span> <span class="n">chol</span><span class="p">(</span><span 
class="n">inCoreAtA</span><span class="p">)</span>
+    <span class="n">val</span> <span class="n">inCoreR</span> <span 
class="p">=</span> <span class="p">(</span><span class="n">ch</span><span 
class="p">.</span><span class="n">getL</span> <span 
class="n">cloned</span><span class="p">)</span> <span class="n">t</span>
+    <span class="k">if</span> <span class="p">(</span><span 
class="n">checkRankDeficiency</span> <span class="o">&amp;&amp;</span> !<span 
class="n">ch</span><span class="p">.</span><span 
class="n">isPositiveDefinite</span><span class="p">)</span>
+        <span class="n">throw</span> <span class="n">new</span> <span 
class="n">IllegalArgumentException</span><span class="p">(</span>&quot;<span 
class="n">R</span> <span class="n">is</span> <span class="n">rank</span><span 
class="o">-</span><span class="n">deficient</span><span 
class="p">.</span>&quot;<span class="p">)</span>
+    <span class="n">val</span> <span class="n">bcastAtA</span> <span 
class="p">=</span> <span class="n">sc</span><span class="p">.</span><span 
class="n">broadcast</span><span class="p">(</span><span 
class="n">inCoreAtA</span><span class="p">)</span>
+    <span class="n">val</span> <span class="n">Q</span> <span 
class="p">=</span> <span class="n">A</span><span class="p">.</span><span 
class="n">mapBlock</span><span class="p">()</span> <span class="p">{</span>
+        <span class="k">case</span> <span class="p">(</span><span 
class="n">keys</span><span class="p">,</span> <span class="n">block</span><span 
class="p">)</span> <span class="p">=</span><span class="o">&gt;</span> <span 
class="n">keys</span> <span class="o">-&gt;</span> <span 
class="n">chol</span><span class="p">(</span><span 
class="n">bcastAtA</span><span class="p">).</span><span 
class="n">solveRight</span><span class="p">(</span><span 
class="n">block</span><span class="p">)</span>
+    <span class="p">}</span>
+    <span class="n">Q</span> <span class="o">-&gt;</span> <span 
class="n">inCoreR</span>
+<span class="p">}</span>
+</pre></div>
+
+
+<h2 id="usage">Usage</h2>
+<p>The scala <code>dqrThin(...)</code> method can easily be called in any 
Spark or H2O application built with the <code>math-scala</code> library and the 
corresponding <code>Spark</code> or <code>H2O</code> engine module as 
follows:</p>
+<div class="codehilite"><pre><span class="n">import</span> <span 
class="n">org</span><span class="p">.</span><span class="n">apache</span><span 
class="p">.</span><span class="n">mahout</span><span class="p">.</span><span 
class="n">math</span><span class="p">.</span><span class="n">_</span>
+<span class="n">import</span> <span class="n">org</span><span 
class="p">.</span><span class="n">decompsitions</span><span 
class="p">.</span><span class="n">_</span>
+
+<span class="n">val</span><span class="p">(</span><span 
class="n">drmQ</span><span class="p">,</span> <span 
class="n">inCoreR</span><span class="p">)</span> <span class="p">=</span> <span 
class="n">dqrThin</span><span class="p">(</span><span 
class="n">drma</span><span class="p">)</span>
+</pre></div>
+
+
+<h2 id="references">References</h2>
+<p>[1]: <a 
href="http://mahout.apache.org/users/sparkbindings/ScalaSparkBindings.pdf";>Mahout
 Scala and Mahout Spark Bindings for Linear Algebra Subroutines</a></p>
+<p>[2]: <a 
href="http://mahout.apache.org/users/sparkbindings/home.html";>Mahout Spark and 
Scala Bindings</a></p>
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