Added: websites/staging/singa/trunk/content/v0.3.0/zh/rnn.html
==============================================================================
--- websites/staging/singa/trunk/content/v0.3.0/zh/rnn.html (added)
+++ websites/staging/singa/trunk/content/v0.3.0/zh/rnn.html Wed Apr 20 05:12:03 
2016
@@ -0,0 +1,674 @@
+<!DOCTYPE html>
+<!--
+ | Generated by Apache Maven Doxia at 2016-04-20 
+ | Rendered using Apache Maven Fluido Skin 1.4
+-->
+<html xmlns="http://www.w3.org/1999/xhtml"; xml:lang="en" lang="en">
+  <head>
+    <meta charset="UTF-8" />
+    <meta name="viewport" content="width=device-width, initial-scale=1.0" />
+    <meta name="Date-Revision-yyyymmdd" content="20160420" />
+    <meta http-equiv="Content-Language" content="en" />
+    <title>Apache SINGA &#x2013; Recurrent Neural Networks for Language 
Modelling</title>
+    <link rel="stylesheet" href="../../css/apache-maven-fluido-1.4.min.css" />
+    <link rel="stylesheet" href="../../css/site.css" />
+    <link rel="stylesheet" href="../../css/print.css" media="print" />
+
+      
+    
+    
+  
+    <script type="text/javascript" 
src="../../js/apache-maven-fluido-1.4.min.js"></script>
+
+                          
+        
+<script 
src="https://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML";
 type="text/javascript"></script>
+                      
+        
+<script type="text/x-mathjax-config">MathJax.Hub.Config({tex2jax: {inlineMath: 
[['$','$'], ['\\(','\\)']]}});</script>
+                      
+        
+<meta content="Apache SINGA" name="author"/>
+                      
+        
+<meta content="SINGA, Deep Learning, Distributed training" name="keywords"/>
+          
+                  </head>
+        <body class="topBarEnabled">
+          
+    
+    
+            
+    
+        
+    <a href="https://github.com/apache/incubator-singa";>
+      <img style="position: absolute; top: 0; right: 0; border: 0; z-index: 
10000;"
+        
src="https://s3.amazonaws.com/github/ribbons/forkme_right_orange_ff7600.png";
+        alt="Fork me on GitHub">
+    </a>
+  
+                
+                    
+                
+
+    <div id="topbar" class="navbar navbar-fixed-top navbar-inverse">
+      <div class="navbar-inner">
+                <div class="container-fluid">
+        <a data-target=".nav-collapse" data-toggle="collapse" class="btn 
btn-navbar">
+          <span class="icon-bar"></span>
+          <span class="icon-bar"></span>
+          <span class="icon-bar"></span>
+        </a>
+                
+                                <ul class="nav">
+                          <li class="dropdown">
+        <a href="#" class="dropdown-toggle" data-toggle="dropdown">Apache 
SINGA <b class="caret"></b></a>
+        <ul class="dropdown-menu">
+        
+                      <li>      <a href="../../docs/overview.html"  
title="Introduction">Introduction</a>
+</li>
+                  
+                      <li>      <a href="../../docs/quick-start.html"  
title="Quick Start">Quick Start</a>
+</li>
+                  
+                      <li>      <a href="../../downloads.html"  
title="Downloads">Downloads</a>
+</li>
+                          </ul>
+      </li>
+                <li class="dropdown">
+        <a href="#" class="dropdown-toggle" 
data-toggle="dropdown">Documentaion <b class="caret"></b></a>
+        <ul class="dropdown-menu">
+        
+                      <li class="dropdown-submenu">
+                                      <a href="../../docs/index.html"  
title="v0.3.0">v0.3.0</a>
+              <ul class="dropdown-menu">
+                                  <li>      <a href="../../docs/index.html"  
title="English">English</a>
+</li>
+                                  <li>      <a href="../../docs/zh/index.html" 
 title="中文">中文</a>
+</li>
+                                  <li>      <a href="../../docs/jp/index.html" 
 title="日本語">日本語</a>
+</li>
+                                  <li>      <a href="../../docs/kr/index.html" 
 title="한국어">한국어</a>
+</li>
+                              </ul>
+            </li>
+                  
+                      <li>      <a href="../../v0.2.0/index.html"  
title="v0.2.0">v0.2.0</a>
+</li>
+                  
+                      <li>      <a href="../../v0.1.0/index.html"  
title="v0.1.0">v0.1.0</a>
+</li>
+                          </ul>
+      </li>
+                <li class="dropdown">
+        <a href="#" class="dropdown-toggle" data-toggle="dropdown">Development 
<b class="caret"></b></a>
+        <ul class="dropdown-menu">
+        
+                      <li>      <a href="../../develop/schedule.html"  
title="Schedule">Schedule</a>
+</li>
+                  
+                      <li class="dropdown-submenu">
+                                      <a 
href="../../develop/how-contribute.html"  title="How to Contribute">How to 
Contribute</a>
+              <ul class="dropdown-menu">
+                                  <li>      <a 
href="../../develop/contribute-code.html"  title="Code">Code</a>
+</li>
+                                  <li>      <a 
href="../../develop/contribute-docs.html"  
title="Documentation">Documentation</a>
+</li>
+                              </ul>
+            </li>
+                          </ul>
+      </li>
+                <li class="dropdown">
+        <a href="#" class="dropdown-toggle" data-toggle="dropdown">Community 
<b class="caret"></b></a>
+        <ul class="dropdown-menu">
+        
+                      <li>      <a 
href="../../community/source-repository.html"  title="Source Repository">Source 
Repository</a>
+</li>
+                  
+                      <li>      <a href="../../community/mail-lists.html"  
title="Mailing Lists">Mailing Lists</a>
+</li>
+                  
+                      <li>      <a href="../../community/issue-tracking.html"  
title="Issue Tracking">Issue Tracking</a>
+</li>
+                  
+                      <li>      <a href="../../community/team-list.html"  
title="SINGA Team">SINGA Team</a>
+</li>
+                          </ul>
+      </li>
+                <li class="dropdown">
+        <a href="#" class="dropdown-toggle" data-toggle="dropdown">External 
Links <b class="caret"></b></a>
+        <ul class="dropdown-menu">
+        
+                      <li>      <a href="http://www.apache.org/";  
title="Apache Software Foundation">Apache Software Foundation</a>
+</li>
+                  
+                      <li>      <a 
href="http://www.comp.nus.edu.sg/~dbsystem/singa/";  title="NUS Site">NUS 
Site</a>
+</li>
+                          </ul>
+      </li>
+                  </ul>
+          
+          
+          
+                   
+                      </div>
+          
+        </div>
+      </div>
+    </div>
+    
+        <div class="container-fluid">
+          <div id="banner">
+        <div class="pull-left">
+                                                  <a href="../../index.html" 
id="bannerLeft" title="Apache SINGA">
+                                                                               
                 <img src="../../images/singa-logo.png"  alt="Apache SINGA"/>
+                </a>
+                      </div>
+        <div class="pull-right">              <div id="bannerRight">
+                                                                               
                 <img src="../../images/singa-title.png"  alt="Apache SINGA"/>
+                </div>
+      </div>
+        <div class="clear"><hr/></div>
+      </div>
+
+      <div id="breadcrumbs">
+        <ul class="breadcrumb">
+                
+                    
+                              <li class="">
+                    <a href="../../index.html" title="Apache SINGA">
+        Apache SINGA</a>
+                    <span class="divider">/</span>
+      </li>
+        <li class="active ">Recurrent Neural Networks for Language 
Modelling</li>
+        
+                
+                    
+      
+                            </ul>
+      </div>
+
+                  
+      <div class="row-fluid">
+        <div id="leftColumn" class="span2">
+          <div class="well sidebar-nav">
+                
+                    
+                <ul class="nav nav-list">
+                    <li class="nav-header">Apache SINGA</li>
+                              
+      <li>
+  
+                          <a href="../../docs/overview.html" 
title="Introduction">
+          <span class="none"></span>
+        Introduction</a>
+            </li>
+                
+      <li>
+  
+                          <a href="../../docs/quick-start.html" title="Quick 
Start">
+          <span class="none"></span>
+        Quick Start</a>
+            </li>
+                
+      <li>
+  
+                          <a href="../../downloads.html" title="Downloads">
+          <span class="none"></span>
+        Downloads</a>
+            </li>
+                              <li class="nav-header">Documentaion</li>
+                                                                               
                                                       
+      <li>
+  
+                          <a href="../../docs/index.html" title="v0.3.0">
+          <span class="icon-chevron-right"></span>
+        v0.3.0</a>
+                  </li>
+                
+      <li>
+  
+                          <a href="../../v0.2.0/index.html" title="v0.2.0">
+          <span class="none"></span>
+        v0.2.0</a>
+            </li>
+                
+      <li>
+  
+                          <a href="../../v0.1.0/index.html" title="v0.1.0">
+          <span class="none"></span>
+        v0.1.0</a>
+            </li>
+                              <li class="nav-header">Development</li>
+                              
+      <li>
+  
+                          <a href="../../develop/schedule.html" 
title="Schedule">
+          <span class="none"></span>
+        Schedule</a>
+            </li>
+                                                                               
     
+      <li>
+  
+                          <a href="../../develop/how-contribute.html" 
title="How to Contribute">
+          <span class="icon-chevron-right"></span>
+        How to Contribute</a>
+                  </li>
+                              <li class="nav-header">Community</li>
+                              
+      <li>
+  
+                          <a href="../../community/source-repository.html" 
title="Source Repository">
+          <span class="none"></span>
+        Source Repository</a>
+            </li>
+                
+      <li>
+  
+                          <a href="../../community/mail-lists.html" 
title="Mailing Lists">
+          <span class="none"></span>
+        Mailing Lists</a>
+            </li>
+                
+      <li>
+  
+                          <a href="../../community/issue-tracking.html" 
title="Issue Tracking">
+          <span class="none"></span>
+        Issue Tracking</a>
+            </li>
+                
+      <li>
+  
+                          <a href="../../community/team-list.html" 
title="SINGA Team">
+          <span class="none"></span>
+        SINGA Team</a>
+            </li>
+                              <li class="nav-header">External Links</li>
+                              
+      <li>
+  
+                          <a href="http://www.apache.org/"; 
class="externalLink" title="Apache Software Foundation">
+          <span class="none"></span>
+        Apache Software Foundation</a>
+            </li>
+                
+      <li>
+  
+                          <a 
href="http://www.comp.nus.edu.sg/~dbsystem/singa/"; class="externalLink" 
title="NUS Site">
+          <span class="none"></span>
+        NUS Site</a>
+            </li>
+            </ul>
+                
+                    
+                
+          <hr />
+
+           <div id="poweredBy">
+                            <div class="clear"></div>
+                            <div class="clear"></div>
+                            <div class="clear"></div>
+                            <div class="clear"></div>
+                                                                               
                                    <a href="http://incubator.apache.org"; 
title="apache-incubator" class="builtBy">
+        <img class="builtBy"  alt="Apache Incubator" 
src="http://incubator.apache.org/images/egg-logo.png";    />
+      </a>
+                      </div>
+          </div>
+        </div>
+        
+                        
+        <div id="bodyColumn"  class="span10" >
+                                  
+            <h1>Recurrent Neural Networks for Language Modelling</h1>
+<hr />
+<p>Recurrent Neural Networks (RNN) are widely used for modelling sequential 
data, such as music and sentences. In this example, we use SINGA to train a <a 
class="externalLink" 
href="http://www.fit.vutbr.cz/research/groups/speech/publi/2010/mikolov_interspeech2010_IS100722.pdf";>RNN
 model</a> proposed by Tomas Mikolov for <a class="externalLink" 
href="https://en.wikipedia.org/wiki/Language_model";>language modeling</a>. The 
training objective (loss) is to minimize the <a class="externalLink" 
href="https://en.wikipedia.org/wiki/Perplexity";>perplexity per word</a>, which 
is equivalent to maximize the probability of predicting the next word given the 
current word in a sentence.</p>
+<p>Different to the <a href="cnn.html">CNN</a>, <a href="mlp.html">MLP</a> and 
<a href="rbm.html">RBM</a> examples which use built-in layers(layer) and 
records(data), none of the layers in this example are built-in. Hence users 
would learn to implement their own layers and data records through this 
example.</p>
+<div class="section">
+<h2><a name="Running_instructions"></a>Running instructions</h2>
+<p>In <i>SINGA_ROOT/examples/rnnlm/</i>, scripts are provided to run the 
training job. First, the data is prepared by</p>
+
+<div class="source">
+<div class="source"><pre class="prettyprint">$ cp Makefile.example Makefile
+$ make download
+$ make create
+</pre></div></div>
+<p>Second, to compile the source code under <i>examples/rnnlm/</i>, run</p>
+
+<div class="source">
+<div class="source"><pre class="prettyprint">$ make rnnlm
+</pre></div></div>
+<p>An executable file <i>rnnlm.bin</i> will be generated.</p>
+<p>Third, the training is started by passing <i>rnnlm.bin</i> and the job 
configuration to <i>singa-run.sh</i>,</p>
+
+<div class="source">
+<div class="source"><pre class="prettyprint"># at SINGA_ROOT/
+# export LD_LIBRARY_PATH=.libs:$LD_LIBRARY_PATH
+$ ./bin/singa-run.sh -exec examples/rnnlm/rnnlm.bin -conf 
examples/rnnlm/job.conf
+</pre></div></div></div>
+<div class="section">
+<h2><a name="Implementations"></a>Implementations</h2>
+<p><img src="../images/rnnlm.png" align="center" width="400px" alt="" /> 
<span><b>Figure 1 - Net structure of the RNN model.</b></span></p>
+<p>The neural net structure is shown Figure 1. Word records are loaded by 
<tt>DataLayer</tt>. For every iteration, at most <tt>max_window</tt> word 
records are processed. If a sentence ending character is read, the 
<tt>DataLayer</tt> stops loading immediately. <tt>EmbeddingLayer</tt> looks up 
a word embedding matrix to extract feature vectors for words loaded by the 
<tt>DataLayer</tt>. These features are transformed by the <tt>HiddenLayer</tt> 
which propagates the features from left to right. The output feature for word 
at position k is influenced by words from position 0 to k-1. Finally, 
<tt>LossLayer</tt> computes the cross-entropy loss (see below) by predicting 
the next word of each word. The cross-entropy loss is computed as</p>
+<p><tt>$$L(w_t)=-log P(w_{t+1}|w_t)$$</tt></p>
+<p>Given <tt>$w_t$</tt> the above equation would compute over all words in the 
vocabulary, which is time consuming. <a class="externalLink" 
href="https://f25ea9ccb7d3346ce6891573d543960492b92c30.googledrive.com/host/0ByxdPXuxLPS5RFM5dVNvWVhTd0U/rnnlm-0.4b.tgz";>RNNLM
 Toolkit</a> accelerates the computation as</p>
+<p><tt>$$P(w_{t+1}|w_t) = P(C_{w_{t+1}}|w_t) * 
P(w_{t+1}|C_{w_{t+1}})$$</tt></p>
+<p>Words from the vocabulary are partitioned into a user-defined number of 
classes. The first term on the left side predicts the class of the next word, 
and then predicts the next word given its class. Both the number of classes and 
the words from one class are much smaller than the vocabulary size. The 
probabilities can be calculated much faster.</p>
+<p>The perplexity per word is computed by,</p>
+<p><tt>$$PPL = 10^{- avg_t log_{10} P(w_{t+1}|w_t)}$$</tt></p>
+<div class="section">
+<h3><a name="Data_preparation"></a>Data preparation</h3>
+<p>We use a small dataset provided by the <a class="externalLink" 
href="https://f25ea9ccb7d3346ce6891573d543960492b92c30.googledrive.com/host/0ByxdPXuxLPS5RFM5dVNvWVhTd0U/rnnlm-0.4b.tgz";>RNNLM
 Toolkit</a>. It has 10,000 training sentences, with 71350 words in total and 
3720 unique words. The subsequent steps follow the instructions in <a 
href="data.html">Data Preparation</a> to convert the raw data into records and 
insert them into data stores.</p>
+<div class="section">
+<h4><a name="Download_source_data"></a>Download source data</h4>
+
+<div class="source">
+<div class="source"><pre class="prettyprint"># in SINGA_ROOT/examples/rnnlm/
+cp Makefile.example Makefile
+make download
+</pre></div></div></div>
+<div class="section">
+<h4><a name="Define_record_format"></a>Define record format</h4>
+<p>We define the word record as follows,</p>
+
+<div class="source">
+<div class="source"><pre class="prettyprint"># in 
SINGA_ROOT/examples/rnnlm/rnnlm.proto
+message WordRecord {
+  optional string word = 1;
+  optional int32 word_index = 2;
+  optional int32 class_index = 3;
+  optional int32 class_start = 4;
+  optional int32 class_end = 5;
+}
+</pre></div></div>
+<p>It includes the word string and its index in the vocabulary. Words in the 
vocabulary are sorted based on their frequency in the training dataset. The 
sorted list is cut into 100 sublists such that each sublist has 1/100 total 
word frequency. Each sublist is called a class. Hence each word has a 
<tt>class_index</tt> ([0,100)). The <tt>class_start</tt> is the index of the 
first word in the same class as <tt>word</tt>. The <tt>class_end</tt> is the 
index of the first word in the next class.</p></div>
+<div class="section">
+<h4><a name="Create_data_stores"></a>Create data stores</h4>
+<p>We use code from RNNLM Toolkit to read words, and sort them into classes. 
The main function in <i>create_store.cc</i> first creates word classes based on 
the training dataset. Second it calls the following function to create data 
store for the training, validation and test dataset.</p>
+
+<div class="source">
+<div class="source"><pre class="prettyprint">int create_data(const char 
*input_file, const char *output_file);
+</pre></div></div>
+<p><tt>input</tt> is the path to training/validation/testing text file from 
the RNNLM Toolkit, <tt>output</tt> is output store file. This function starts 
with</p>
+
+<div class="source">
+<div class="source"><pre class="prettyprint">singa::io::KVFile store;
+store.Open(output, signa::io::kCreate);
+</pre></div></div>
+<p>Then it reads the words one by one. For each word it creates a 
<tt>WordRecord</tt> instance, and inserts it into the store,</p>
+
+<div class="source">
+<div class="source"><pre class="prettyprint">int wcnt = 0; // word count
+WordRecord  wordRecord;
+while(1) {
+  readWord(wordstr, fin);
+  if (feof(fin)) break;
+  ...// fill in the wordRecord;
+  string val;
+  wordRecord.SerializeToString(&amp;val);
+  int length = snprintf(key, BUFFER_LEN, &quot;%05d&quot;, wcnt++);
+  store.Write(string(key, length), val);
+}
+</pre></div></div>
+<p>Compilation and running commands are provided in the 
<i>Makefile.example</i>. After executing</p>
+
+<div class="source">
+<div class="source"><pre class="prettyprint">make create
+</pre></div></div>
+<p><i>train_data.bin</i>, <i>test_data.bin</i> and <i>valid_data.bin</i> will 
be created.</p></div></div>
+<div class="section">
+<h3><a name="Layer_implementation"></a>Layer implementation</h3>
+<p>4 user-defined layers are implemented for this application. Following the 
guide for implementing <a href="layer#implementing-a-new-layer-subclass">new 
Layer subclasses</a>, we extend the <a 
href="../api/classsinga_1_1LayerProto.html">LayerProto</a> to include the 
configuration messages of user-defined layers as shown below (3 out of the 7 
layers have specific configurations),</p>
+
+<div class="source">
+<div class="source"><pre class="prettyprint">import &quot;job.proto&quot;;     
// Layer message for SINGA is defined
+
+//For implementation of RNNLM application
+extend singa.LayerProto {
+  optional EmbeddingProto embedding_conf = 101;
+  optional LossProto loss_conf = 102;
+  optional DataProto data_conf = 103;
+}
+</pre></div></div>
+<p>In the subsequent sections, we describe the implementation of each layer, 
including its configuration message.</p>
+<div class="section">
+<h4><a name="RNNLayer"></a>RNNLayer</h4>
+<p>This is the base layer of all other layers for this applications. It is 
defined as follows,</p>
+
+<div class="source">
+<div class="source"><pre class="prettyprint">class RNNLayer : virtual public 
Layer {
+public:
+  inline int window() { return window_; }
+protected:
+  int window_;
+};
+</pre></div></div>
+<p>For this application, two iterations may process different number of words. 
Because sentences have different lengths. The <tt>DataLayer</tt> decides the 
effective window size. All other layers call its source layers to get the 
effective window size and resets <tt>window_</tt> in <tt>ComputeFeature</tt> 
function.</p></div>
+<div class="section">
+<h4><a name="DataLayer"></a>DataLayer</h4>
+<p>DataLayer is for loading Records.</p>
+
+<div class="source">
+<div class="source"><pre class="prettyprint">class DataLayer : public 
RNNLayer, singa::InputLayer {
+ public:
+  void Setup(const LayerProto&amp; proto, const vector&lt;Layer*&gt;&amp; 
srclayers) override;
+  void ComputeFeature(int flag, const vector&lt;Layer*&gt;&amp; srclayers) 
override;
+  int max_window() const {
+    return max_window_;
+  }
+ private:
+  int max_window_;
+  singa::io::Store* store_;
+};
+</pre></div></div>
+<p>The Setup function gets the user configured max window size.</p>
+
+<div class="source">
+<div class="source"><pre class="prettyprint">max_window_ = 
proto.GetExtension(input_conf).max_window();
+</pre></div></div>
+<p>The <tt>ComputeFeature</tt> function loads at most max_window records. It 
could also stop when the sentence ending character is encountered.</p>
+
+<div class="source">
+<div class="source"><pre class="prettyprint">...// shift the last record to 
the first
+window_ = max_window_;
+for (int i = 1; i &lt;= max_window_; i++) {
+  // load record; break if it is the ending character
+}
+</pre></div></div>
+<p>The configuration of <tt>DataLayer</tt> is like</p>
+
+<div class="source">
+<div class="source"><pre class="prettyprint">name: &quot;data&quot;
+user_type: &quot;kData&quot;
+[data_conf] {
+  path: &quot;examples/rnnlm/train_data.bin&quot;
+  max_window: 10
+}
+</pre></div></div></div>
+<div class="section">
+<h4><a name="EmbeddingLayer"></a>EmbeddingLayer</h4>
+<p>This layer gets records from <tt>DataLayer</tt>. For each record, the word 
index is parsed and used to get the corresponding word feature vector from the 
embedding matrix.</p>
+<p>The class is declared as follows,</p>
+
+<div class="source">
+<div class="source"><pre class="prettyprint">class EmbeddingLayer : public 
RNNLayer {
+  ...
+  const std::vector&lt;Param*&gt; GetParams() const override {
+    std::vector&lt;Param*&gt; params{embed_};
+    return params;
+  }
+ private:
+  int word_dim_, vocab_size_;
+  Param* embed_;
+}
+</pre></div></div>
+<p>The <tt>embed_</tt> field is a matrix whose values are parameter to be 
learned. The matrix size is <tt>vocab_size_</tt> x <tt>word_dim_</tt>.</p>
+<p>The Setup function reads configurations for <tt>word_dim_</tt> and 
<tt>vocab_size_</tt>. Then it allocates feature Blob for <tt>max_window</tt> 
words and setups <tt>embed_</tt>.</p>
+
+<div class="source">
+<div class="source"><pre class="prettyprint">int max_window = 
srclayers[0]-&gt;data(this).shape()[0];
+word_dim_ = proto.GetExtension(embedding_conf).word_dim();
+data_.Reshape(vector&lt;int&gt;{max_window, word_dim_});
+...
+embed_-&gt;Setup(vector&lt;int&gt;{vocab_size_, word_dim_});
+</pre></div></div>
+<p>The <tt>ComputeFeature</tt> function simply copies the feature vector from 
the <tt>embed_</tt> matrix into the feature Blob.</p>
+
+<div class="source">
+<div class="source"><pre class="prettyprint"># reset effective window size
+window_ = datalayer-&gt;window();
+auto records = datalayer-&gt;records();
+...
+for (int t = 0; t &lt; window_; t++) {
+  int idx  &lt;- word index
+  Copy(words[t], embed[idx]);
+}
+</pre></div></div>
+<p>The <tt>ComputeGradient</tt> function copies back the gradients to the 
<tt>embed_</tt> matrix.</p>
+<p>The configuration for <tt>EmbeddingLayer</tt> is like,</p>
+
+<div class="source">
+<div class="source"><pre class="prettyprint">user_type: &quot;kEmbedding&quot;
+[embedding_conf] {
+  word_dim: 15
+  vocab_size: 3720
+}
+srclayers: &quot;data&quot;
+param {
+  name: &quot;w1&quot;
+  init {
+    type: kUniform
+    low:-0.3
+    high:0.3
+  }
+}
+</pre></div></div></div>
+<div class="section">
+<h4><a name="HiddenLayer"></a>HiddenLayer</h4>
+<p>This layer unrolls the recurrent connections for at most max_window times. 
The feature for position k is computed based on the feature from the embedding 
layer (position k) and the feature at position k-1 of this layer. The formula 
is</p>
+<p><tt>$$f[k]=\sigma (f[t-1]*W+src[t])$$</tt></p>
+<p>where <tt>$W$</tt> is a matrix with <tt>word_dim_</tt> x <tt>word_dim_</tt> 
parameters.</p>
+<p>If you want to implement a recurrent neural network following our design, 
this layer is of vital importance for you to refer to.</p>
+
+<div class="source">
+<div class="source"><pre class="prettyprint">class HiddenLayer : public 
RNNLayer {
+  ...
+  const std::vector&lt;Param*&gt; GetParams() const override {
+    std::vector&lt;Param*&gt; params{weight_};
+    return params;
+  }
+private:
+  Param* weight_;
+};
+</pre></div></div>
+<p>The <tt>Setup</tt> function setups the weight matrix as</p>
+
+<div class="source">
+<div class="source"><pre 
class="prettyprint">weight_-&gt;Setup(std::vector&lt;int&gt;{word_dim, 
word_dim});
+</pre></div></div>
+<p>The <tt>ComputeFeature</tt> function gets the effective window size 
(<tt>window_</tt>) from its source layer i.e., the embedding layer. Then it 
propagates the feature from position 0 to position <tt>window_</tt> -1. The 
detailed descriptions for this process are illustrated as follows.</p>
+
+<div class="source">
+<div class="source"><pre class="prettyprint">void 
HiddenLayer::ComputeFeature() {
+  for(int t = 0; t &lt; window_size; t++){
+    if(t == 0)
+      Copy(data[t], src[t]);
+    else
+      data[t]=sigmoid(data[t-1]*W + src[t]);
+  }
+}
+</pre></div></div>
+<p>The <tt>ComputeGradient</tt> function computes the gradient of the loss 
w.r.t. W and the source layer. Particularly, for each position k, since data[k] 
contributes to data[k+1] and the feature at position k in its destination layer 
(the loss layer), grad[k] should contains the gradient from two parts. The 
destination layer has already computed the gradient from the loss layer into 
grad[k]; In the <tt>ComputeGradient</tt> function, we need to add the gradient 
from position k+1.</p>
+
+<div class="source">
+<div class="source"><pre class="prettyprint">void 
HiddenLayer::ComputeGradient(){
+  ...
+  for (int k = window_ - 1; k &gt;= 0; k--) {
+    if (k &lt; window_ - 1) {
+      grad[k] += dot(grad[k + 1], weight.T()); // add gradient from position 
t+1.
+    }
+    grad[k] =... // compute gL/gy[t], y[t]=data[t-1]*W+src[t]
+  }
+  gweight = dot(data.Slice(0, window_-1).T(), grad.Slice(1, window_));
+  Copy(gsrc, grad);
+}
+</pre></div></div>
+<p>After the loop, we get the gradient of the loss w.r.t y[k], which is used 
to compute the gradient of W and the src[k].</p></div>
+<div class="section">
+<h4><a name="LossLayer"></a>LossLayer</h4>
+<p>This layer computes the cross-entropy loss and the 
<tt>$log_{10}P(w_{t+1}|w_t)$</tt> (which could be averaged over all words by 
users to get the PPL value).</p>
+<p>There are two configuration fields to be specified by users.</p>
+
+<div class="source">
+<div class="source"><pre class="prettyprint">message LossProto {
+  optional int32 nclass = 1;
+  optional int32 vocab_size = 2;
+}
+</pre></div></div>
+<p>There are two weight matrices to be learned</p>
+
+<div class="source">
+<div class="source"><pre class="prettyprint">class LossLayer : public RNNLayer 
{
+  ...
+ private:
+  Param* word_weight_, *class_weight_;
+}
+</pre></div></div>
+<p>The ComputeFeature function computes the two probabilities respectively.</p>
+<p><tt>$$P(C_{w_{t+1}}|w_t) = Softmax(w_t * class\_weight_)$$</tt> 
<tt>$$P(w_{t+1}|C_{w_{t+1}}) = Softmax(w_t * 
word\_weight[class\_start:class\_end])$$</tt></p>
+<p><tt>$w_t$</tt> is the feature from the hidden layer for the k-th word, its 
ground truth next word is <tt>$w_{t+1}$</tt>. The first equation computes the 
probability distribution over all classes for the next word. The second 
equation computes the probability distribution over the words in the ground 
truth class for the next word.</p>
+<p>The ComputeGradient function computes the gradient of the source layer 
(i.e., the hidden layer) and the two weight matrices.</p></div></div>
+<div class="section">
+<h3><a name="Updater_Configuration"></a>Updater Configuration</h3>
+<p>We employ kFixedStep type of the learning rate change method and the 
configuration is as follows. We decay the learning rate once the performance 
does not increase on the validation dataset.</p>
+
+<div class="source">
+<div class="source"><pre class="prettyprint">updater{
+  type: kSGD
+  learning_rate {
+    type: kFixedStep
+    fixedstep_conf:{
+      step:0
+      step:48810
+      step:56945
+      step:65080
+      step:73215
+      step_lr:0.1
+      step_lr:0.05
+      step_lr:0.025
+      step_lr:0.0125
+      step_lr:0.00625
+    }
+  }
+}
+</pre></div></div></div>
+<div class="section">
+<h3><a name="TrainOneBatch_Function"></a>TrainOneBatch() Function</h3>
+<p>We use BP (BackPropagation) algorithm to train the RNN model here. The 
corresponding configuration can be seen below.</p>
+
+<div class="source">
+<div class="source"><pre class="prettyprint"># In job.conf file
+train_one_batch {
+  alg: kBackPropagation
+}
+</pre></div></div></div>
+<div class="section">
+<h3><a name="Cluster_Configuration"></a>Cluster Configuration</h3>
+<p>The default cluster configuration can be used, i.e., single worker and 
single server in a single process.</p></div></div>
+                  </div>
+            </div>
+          </div>
+
+    <hr/>
+
+    <footer>
+            <div class="container-fluid">
+                      <div class="row-fluid">
+                                                                          
+<p>Copyright © 2015 The Apache Software Foundation. All rights reserved. 
Apache Singa, Apache, the Apache feather logo, and the Apache Singa project 
logos are trademarks of The Apache Software Foundation. All other marks 
mentioned may be trademarks or registered trademarks of their respective 
owners.</p>
+                          </div>
+
+        
+                </div>
+    </footer>
+        </body>
+</html>

Added: websites/staging/singa/trunk/content/v0.3.0/zh/train-one-batch.html
==============================================================================
--- websites/staging/singa/trunk/content/v0.3.0/zh/train-one-batch.html (added)
+++ websites/staging/singa/trunk/content/v0.3.0/zh/train-one-batch.html Wed Apr 
20 05:12:03 2016
@@ -0,0 +1,478 @@
+<!DOCTYPE html>
+<!--
+ | Generated by Apache Maven Doxia at 2016-04-20 
+ | Rendered using Apache Maven Fluido Skin 1.4
+-->
+<html xmlns="http://www.w3.org/1999/xhtml"; xml:lang="en" lang="en">
+  <head>
+    <meta charset="UTF-8" />
+    <meta name="viewport" content="width=device-width, initial-scale=1.0" />
+    <meta name="Date-Revision-yyyymmdd" content="20160420" />
+    <meta http-equiv="Content-Language" content="en" />
+    <title>Apache SINGA &#x2013; Train-One-Batch</title>
+    <link rel="stylesheet" href="../../css/apache-maven-fluido-1.4.min.css" />
+    <link rel="stylesheet" href="../../css/site.css" />
+    <link rel="stylesheet" href="../../css/print.css" media="print" />
+
+      
+    
+    
+  
+    <script type="text/javascript" 
src="../../js/apache-maven-fluido-1.4.min.js"></script>
+
+                          
+        
+<script 
src="https://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML";
 type="text/javascript"></script>
+                      
+        
+<script type="text/x-mathjax-config">MathJax.Hub.Config({tex2jax: {inlineMath: 
[['$','$'], ['\\(','\\)']]}});</script>
+                      
+        
+<meta content="Apache SINGA" name="author"/>
+                      
+        
+<meta content="SINGA, Deep Learning, Distributed training" name="keywords"/>
+          
+                  </head>
+        <body class="topBarEnabled">
+          
+    
+    
+            
+    
+        
+    <a href="https://github.com/apache/incubator-singa";>
+      <img style="position: absolute; top: 0; right: 0; border: 0; z-index: 
10000;"
+        
src="https://s3.amazonaws.com/github/ribbons/forkme_right_orange_ff7600.png";
+        alt="Fork me on GitHub">
+    </a>
+  
+                
+                    
+                
+
+    <div id="topbar" class="navbar navbar-fixed-top navbar-inverse">
+      <div class="navbar-inner">
+                <div class="container-fluid">
+        <a data-target=".nav-collapse" data-toggle="collapse" class="btn 
btn-navbar">
+          <span class="icon-bar"></span>
+          <span class="icon-bar"></span>
+          <span class="icon-bar"></span>
+        </a>
+                
+                                <ul class="nav">
+                          <li class="dropdown">
+        <a href="#" class="dropdown-toggle" data-toggle="dropdown">Apache 
SINGA <b class="caret"></b></a>
+        <ul class="dropdown-menu">
+        
+                      <li>      <a href="../../docs/overview.html"  
title="Introduction">Introduction</a>
+</li>
+                  
+                      <li>      <a href="../../docs/quick-start.html"  
title="Quick Start">Quick Start</a>
+</li>
+                  
+                      <li>      <a href="../../downloads.html"  
title="Downloads">Downloads</a>
+</li>
+                          </ul>
+      </li>
+                <li class="dropdown">
+        <a href="#" class="dropdown-toggle" 
data-toggle="dropdown">Documentaion <b class="caret"></b></a>
+        <ul class="dropdown-menu">
+        
+                      <li class="dropdown-submenu">
+                                      <a href="../../docs/index.html"  
title="v0.3.0">v0.3.0</a>
+              <ul class="dropdown-menu">
+                                  <li>      <a href="../../docs/index.html"  
title="English">English</a>
+</li>
+                                  <li>      <a href="../../docs/zh/index.html" 
 title="中文">中文</a>
+</li>
+                                  <li>      <a href="../../docs/jp/index.html" 
 title="日本語">日本語</a>
+</li>
+                                  <li>      <a href="../../docs/kr/index.html" 
 title="한국어">한국어</a>
+</li>
+                              </ul>
+            </li>
+                  
+                      <li>      <a href="../../v0.2.0/index.html"  
title="v0.2.0">v0.2.0</a>
+</li>
+                  
+                      <li>      <a href="../../v0.1.0/index.html"  
title="v0.1.0">v0.1.0</a>
+</li>
+                          </ul>
+      </li>
+                <li class="dropdown">
+        <a href="#" class="dropdown-toggle" data-toggle="dropdown">Development 
<b class="caret"></b></a>
+        <ul class="dropdown-menu">
+        
+                      <li>      <a href="../../develop/schedule.html"  
title="Schedule">Schedule</a>
+</li>
+                  
+                      <li class="dropdown-submenu">
+                                      <a 
href="../../develop/how-contribute.html"  title="How to Contribute">How to 
Contribute</a>
+              <ul class="dropdown-menu">
+                                  <li>      <a 
href="../../develop/contribute-code.html"  title="Code">Code</a>
+</li>
+                                  <li>      <a 
href="../../develop/contribute-docs.html"  
title="Documentation">Documentation</a>
+</li>
+                              </ul>
+            </li>
+                          </ul>
+      </li>
+                <li class="dropdown">
+        <a href="#" class="dropdown-toggle" data-toggle="dropdown">Community 
<b class="caret"></b></a>
+        <ul class="dropdown-menu">
+        
+                      <li>      <a 
href="../../community/source-repository.html"  title="Source Repository">Source 
Repository</a>
+</li>
+                  
+                      <li>      <a href="../../community/mail-lists.html"  
title="Mailing Lists">Mailing Lists</a>
+</li>
+                  
+                      <li>      <a href="../../community/issue-tracking.html"  
title="Issue Tracking">Issue Tracking</a>
+</li>
+                  
+                      <li>      <a href="../../community/team-list.html"  
title="SINGA Team">SINGA Team</a>
+</li>
+                          </ul>
+      </li>
+                <li class="dropdown">
+        <a href="#" class="dropdown-toggle" data-toggle="dropdown">External 
Links <b class="caret"></b></a>
+        <ul class="dropdown-menu">
+        
+                      <li>      <a href="http://www.apache.org/";  
title="Apache Software Foundation">Apache Software Foundation</a>
+</li>
+                  
+                      <li>      <a 
href="http://www.comp.nus.edu.sg/~dbsystem/singa/";  title="NUS Site">NUS 
Site</a>
+</li>
+                          </ul>
+      </li>
+                  </ul>
+          
+          
+          
+                   
+                      </div>
+          
+        </div>
+      </div>
+    </div>
+    
+        <div class="container-fluid">
+          <div id="banner">
+        <div class="pull-left">
+                                                  <a href="../../index.html" 
id="bannerLeft" title="Apache SINGA">
+                                                                               
                 <img src="../../images/singa-logo.png"  alt="Apache SINGA"/>
+                </a>
+                      </div>
+        <div class="pull-right">              <div id="bannerRight">
+                                                                               
                 <img src="../../images/singa-title.png"  alt="Apache SINGA"/>
+                </div>
+      </div>
+        <div class="clear"><hr/></div>
+      </div>
+
+      <div id="breadcrumbs">
+        <ul class="breadcrumb">
+                
+                    
+                              <li class="">
+                    <a href="../../index.html" title="Apache SINGA">
+        Apache SINGA</a>
+                    <span class="divider">/</span>
+      </li>
+        <li class="active ">Train-One-Batch</li>
+        
+                
+                    
+      
+                            </ul>
+      </div>
+
+                  
+      <div class="row-fluid">
+        <div id="leftColumn" class="span2">
+          <div class="well sidebar-nav">
+                
+                    
+                <ul class="nav nav-list">
+                    <li class="nav-header">Apache SINGA</li>
+                              
+      <li>
+  
+                          <a href="../../docs/overview.html" 
title="Introduction">
+          <span class="none"></span>
+        Introduction</a>
+            </li>
+                
+      <li>
+  
+                          <a href="../../docs/quick-start.html" title="Quick 
Start">
+          <span class="none"></span>
+        Quick Start</a>
+            </li>
+                
+      <li>
+  
+                          <a href="../../downloads.html" title="Downloads">
+          <span class="none"></span>
+        Downloads</a>
+            </li>
+                              <li class="nav-header">Documentaion</li>
+                                                                               
                                                       
+      <li>
+  
+                          <a href="../../docs/index.html" title="v0.3.0">
+          <span class="icon-chevron-right"></span>
+        v0.3.0</a>
+                  </li>
+                
+      <li>
+  
+                          <a href="../../v0.2.0/index.html" title="v0.2.0">
+          <span class="none"></span>
+        v0.2.0</a>
+            </li>
+                
+      <li>
+  
+                          <a href="../../v0.1.0/index.html" title="v0.1.0">
+          <span class="none"></span>
+        v0.1.0</a>
+            </li>
+                              <li class="nav-header">Development</li>
+                              
+      <li>
+  
+                          <a href="../../develop/schedule.html" 
title="Schedule">
+          <span class="none"></span>
+        Schedule</a>
+            </li>
+                                                                               
     
+      <li>
+  
+                          <a href="../../develop/how-contribute.html" 
title="How to Contribute">
+          <span class="icon-chevron-right"></span>
+        How to Contribute</a>
+                  </li>
+                              <li class="nav-header">Community</li>
+                              
+      <li>
+  
+                          <a href="../../community/source-repository.html" 
title="Source Repository">
+          <span class="none"></span>
+        Source Repository</a>
+            </li>
+                
+      <li>
+  
+                          <a href="../../community/mail-lists.html" 
title="Mailing Lists">
+          <span class="none"></span>
+        Mailing Lists</a>
+            </li>
+                
+      <li>
+  
+                          <a href="../../community/issue-tracking.html" 
title="Issue Tracking">
+          <span class="none"></span>
+        Issue Tracking</a>
+            </li>
+                
+      <li>
+  
+                          <a href="../../community/team-list.html" 
title="SINGA Team">
+          <span class="none"></span>
+        SINGA Team</a>
+            </li>
+                              <li class="nav-header">External Links</li>
+                              
+      <li>
+  
+                          <a href="http://www.apache.org/"; 
class="externalLink" title="Apache Software Foundation">
+          <span class="none"></span>
+        Apache Software Foundation</a>
+            </li>
+                
+      <li>
+  
+                          <a 
href="http://www.comp.nus.edu.sg/~dbsystem/singa/"; class="externalLink" 
title="NUS Site">
+          <span class="none"></span>
+        NUS Site</a>
+            </li>
+            </ul>
+                
+                    
+                
+          <hr />
+
+           <div id="poweredBy">
+                            <div class="clear"></div>
+                            <div class="clear"></div>
+                            <div class="clear"></div>
+                            <div class="clear"></div>
+                                                                               
                                    <a href="http://incubator.apache.org"; 
title="apache-incubator" class="builtBy">
+        <img class="builtBy"  alt="Apache Incubator" 
src="http://incubator.apache.org/images/egg-logo.png";    />
+      </a>
+                      </div>
+          </div>
+        </div>
+        
+                        
+        <div id="bodyColumn"  class="span10" >
+                                  
+            <h1>Train-One-Batch</h1>
+<hr />
+<p>For each SGD iteration, every worker calls the <tt>TrainOneBatch</tt> 
function to compute gradients of parameters associated with local layers (i.e., 
layers dispatched to it). SINGA has implemented two algorithms for the 
<tt>TrainOneBatch</tt> function. Users select the corresponding algorithm for 
their model in the configuration.</p>
+<div class="section">
+<h2><a name="Basic_user_guide"></a>Basic user guide</h2>
+<div class="section">
+<h3><a name="Back-propagation"></a>Back-propagation</h3>
+<p><a class="externalLink" 
href="http://yann.lecun.com/exdb/publis/pdf/lecun-98b.pdf";>BP algorithm</a> is 
used for computing gradients of feed-forward models, e.g., <a 
href="cnn.html">CNN</a> and <a href="mlp.html">MLP</a>, and <a 
href="rnn.html">RNN</a> models in SINGA.</p>
+
+<div class="source">
+<div class="source"><pre class="prettyprint"># in job.conf
+alg: kBP
+</pre></div></div>
+<p>To use the BP algorithm for the <tt>TrainOneBatch</tt> function, users just 
simply configure the <tt>alg</tt> field with <tt>kBP</tt>. If a neural net 
contains user-defined layers, these layers must be implemented properly be to 
consistent with the implementation of the BP algorithm in SINGA (see 
below).</p></div>
+<div class="section">
+<h3><a name="Contrastive_Divergence"></a>Contrastive Divergence</h3>
+<p><a class="externalLink" 
href="http://www.cs.toronto.edu/~fritz/absps/nccd.pdf";>CD algorithm</a> is used 
for computing gradients of energy models like RBM.</p>
+
+<div class="source">
+<div class="source"><pre class="prettyprint"># job.conf
+alg: kCD
+cd_conf {
+  cd_k: 2
+}
+</pre></div></div>
+<p>To use the CD algorithm for the <tt>TrainOneBatch</tt> function, users just 
configure the <tt>alg</tt> field to <tt>kCD</tt>. Uses can also configure the 
Gibbs sampling steps in the CD algorthm through the <tt>cd_k</tt> field. By 
default, it is set to 1.</p></div></div>
+<div class="section">
+<h2><a name="Advanced_user_guide"></a>Advanced user guide</h2>
+<div class="section">
+<h3><a name="Implementation_of_BP"></a>Implementation of BP</h3>
+<p>The BP algorithm is implemented in SINGA following the below pseudo 
code,</p>
+
+<div class="source">
+<div class="source"><pre class="prettyprint">BPTrainOnebatch(step, net) {
+  // forward propagate
+  foreach layer in net.local_layers() {
+    if IsBridgeDstLayer(layer)
+      recv data from the src layer (i.e., BridgeSrcLayer)
+    foreach param in layer.params()
+      Collect(param) // recv response from servers for last update
+
+    layer.ComputeFeature(kForward)
+
+    if IsBridgeSrcLayer(layer)
+      send layer.data_ to dst layer
+  }
+  // backward propagate
+  foreach layer in reverse(net.local_layers) {
+    if IsBridgeSrcLayer(layer)
+      recv gradient from the dst layer (i.e., BridgeDstLayer)
+      recv response from servers for last update
+
+    layer.ComputeGradient()
+    foreach param in layer.params()
+      Update(step, param) // send param.grad_ to servers
+
+    if IsBridgeDstLayer(layer)
+      send layer.grad_ to src layer
+  }
+}
+</pre></div></div>
+<p>It forwards features through all local layers (can be checked by layer 
partition ID and worker ID) and backwards gradients in the reverse order. <a 
href="layer.html#bridgesrclayer--bridgedstlayer">BridgeSrcLayer</a> (resp. 
<tt>BridgeDstLayer</tt>) will be blocked until the feature (resp. gradient) 
from the source (resp. destination) layer comes. Parameter gradients are sent 
to servers via <tt>Update</tt> function. Updated parameters are collected via 
<tt>Collect</tt> function, which will be blocked until the parameter is 
updated. <a href="param.html">Param</a> objects have versions, which can be 
used to check whether the <tt>Param</tt> objects have been updated or not.</p>
+<p>Since RNN models are unrolled into feed-forward models, users need to 
implement the forward propagation in the recurrent layer&#x2019;s 
<tt>ComputeFeature</tt> function, and implement the backward propagation in the 
recurrent layer&#x2019;s <tt>ComputeGradient</tt> function. As a result, the 
whole <tt>TrainOneBatch</tt> runs <a class="externalLink" 
href="https://en.wikipedia.org/wiki/Backpropagation_through_time";>back-propagation
 through time (BPTT)</a> algorithm.</p></div>
+<div class="section">
+<h3><a name="Implementation_of_CD"></a>Implementation of CD</h3>
+<p>The CD algorithm is implemented in SINGA following the below pseudo 
code,</p>
+
+<div class="source">
+<div class="source"><pre class="prettyprint">CDTrainOneBatch(step, net) {
+  # positive phase
+  foreach layer in net.local_layers()
+    if IsBridgeDstLayer(layer)
+      recv positive phase data from the src layer (i.e., BridgeSrcLayer)
+    foreach param in layer.params()
+      Collect(param)  // recv response from servers for last update
+    layer.ComputeFeature(kPositive)
+    if IsBridgeSrcLayer(layer)
+      send positive phase data to dst layer
+
+  # negative phase
+  foreach gibbs in [0...layer_proto_.cd_k]
+    foreach layer in net.local_layers()
+      if IsBridgeDstLayer(layer)
+        recv negative phase data from the src layer (i.e., BridgeSrcLayer)
+      layer.ComputeFeature(kPositive)
+      if IsBridgeSrcLayer(layer)
+        send negative phase data to dst layer
+
+  foreach layer in net.local_layers()
+    layer.ComputeGradient()
+    foreach param in layer.params
+      Update(param)
+}
+</pre></div></div>
+<p>Parameter gradients are computed after the positive phase and negative 
phase.</p></div>
+<div class="section">
+<h3><a name="Implementing_a_new_algorithm"></a>Implementing a new 
algorithm</h3>
+<p>SINGA implements BP and CD by creating two subclasses of the <a 
href="../api/classsinga_1_1Worker.html">Worker</a> class: <a 
href="../api/classsinga_1_1BPWorker.html">BPWorker</a>&#x2019;s 
<tt>TrainOneBatch</tt> function implements the BP algorithm; <a 
href="../api/classsinga_1_1CDWorker.html">CDWorker</a>&#x2019;s 
<tt>TrainOneBatch</tt> function implements the CD algorithm. To implement a new 
algorithm for the <tt>TrainOneBatch</tt> function, users need to create a new 
subclass of the <tt>Worker</tt>, e.g.,</p>
+
+<div class="source">
+<div class="source"><pre class="prettyprint">class FooWorker : public Worker {
+  void TrainOneBatch(int step, shared_ptr&lt;NeuralNet&gt; net, Metric* perf) 
override;
+  void TestOneBatch(int step, Phase phase, shared_ptr&lt;NeuralNet&gt; net, 
Metric* perf) override;
+};
+</pre></div></div>
+<p>The <tt>FooWorker</tt> must implement the above two functions for training 
one mini-batch and testing one mini-batch. The <tt>perf</tt> argument is for 
collecting training or testing performance, e.g., the objective loss or 
accuracy. It is passed to the <tt>ComputeFeature</tt> function of each 
layer.</p>
+<p>Users can define some fields for users to configure</p>
+
+<div class="source">
+<div class="source"><pre class="prettyprint"># in user.proto
+message FooWorkerProto {
+  optional int32 b = 1;
+}
+
+extend JobProto {
+  optional FooWorkerProto foo_conf = 101;
+}
+
+# in job.proto
+JobProto {
+  ...
+  extension 101..max;
+}
+</pre></div></div>
+<p>It is similar as <a 
href="layer.html#implementing-a-new-layer-subclass">adding configuration fields 
for a new layer</a>.</p>
+<p>To use <tt>FooWorker</tt>, users need to register it in the <a 
href="programming-guide.html">main.cc</a> and configure the <tt>alg</tt> and 
<tt>foo_conf</tt> fields,</p>
+
+<div class="source">
+<div class="source"><pre class="prettyprint"># in main.cc
+const int kFoo = 3; // worker ID, must be different to that of CDWorker and 
BPWorker
+driver.RegisterWorker&lt;FooWorker&gt;(kFoo);
+
+# in job.conf
+...
+alg: 3
+[foo_conf] {
+  b = 4;
+}
+</pre></div></div></div></div>
+                  </div>
+            </div>
+          </div>
+
+    <hr/>
+
+    <footer>
+            <div class="container-fluid">
+                      <div class="row-fluid">
+                                                                          
+<p>Copyright © 2015 The Apache Software Foundation. All rights reserved. 
Apache Singa, Apache, the Apache feather logo, and the Apache Singa project 
logos are trademarks of The Apache Software Foundation. All other marks 
mentioned may be trademarks or registered trademarks of their respective 
owners.</p>
+                          </div>
+
+        
+                </div>
+    </footer>
+        </body>
+</html>

Added: websites/staging/singa/trunk/content/v0.3.0/zh/updater.html
==============================================================================
--- websites/staging/singa/trunk/content/v0.3.0/zh/updater.html (added)
+++ websites/staging/singa/trunk/content/v0.3.0/zh/updater.html Wed Apr 20 
05:12:03 2016
@@ -0,0 +1,612 @@
+<!DOCTYPE html>
+<!--
+ | Generated by Apache Maven Doxia at 2016-04-20 
+ | Rendered using Apache Maven Fluido Skin 1.4
+-->
+<html xmlns="http://www.w3.org/1999/xhtml"; xml:lang="en" lang="en">
+  <head>
+    <meta charset="UTF-8" />
+    <meta name="viewport" content="width=device-width, initial-scale=1.0" />
+    <meta name="Date-Revision-yyyymmdd" content="20160420" />
+    <meta http-equiv="Content-Language" content="en" />
+    <title>Apache SINGA &#x2013; Updater</title>
+    <link rel="stylesheet" href="../../css/apache-maven-fluido-1.4.min.css" />
+    <link rel="stylesheet" href="../../css/site.css" />
+    <link rel="stylesheet" href="../../css/print.css" media="print" />
+
+      
+    
+    
+  
+    <script type="text/javascript" 
src="../../js/apache-maven-fluido-1.4.min.js"></script>
+
+                          
+        
+<script 
src="https://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML";
 type="text/javascript"></script>
+                      
+        
+<script type="text/x-mathjax-config">MathJax.Hub.Config({tex2jax: {inlineMath: 
[['$','$'], ['\\(','\\)']]}});</script>
+                      
+        
+<meta content="Apache SINGA" name="author"/>
+                      
+        
+<meta content="SINGA, Deep Learning, Distributed training" name="keywords"/>
+          
+                  </head>
+        <body class="topBarEnabled">
+          
+    
+    
+            
+    
+        
+    <a href="https://github.com/apache/incubator-singa";>
+      <img style="position: absolute; top: 0; right: 0; border: 0; z-index: 
10000;"
+        
src="https://s3.amazonaws.com/github/ribbons/forkme_right_orange_ff7600.png";
+        alt="Fork me on GitHub">
+    </a>
+  
+                
+                    
+                
+
+    <div id="topbar" class="navbar navbar-fixed-top navbar-inverse">
+      <div class="navbar-inner">
+                <div class="container-fluid">
+        <a data-target=".nav-collapse" data-toggle="collapse" class="btn 
btn-navbar">
+          <span class="icon-bar"></span>
+          <span class="icon-bar"></span>
+          <span class="icon-bar"></span>
+        </a>
+                
+                                <ul class="nav">
+                          <li class="dropdown">
+        <a href="#" class="dropdown-toggle" data-toggle="dropdown">Apache 
SINGA <b class="caret"></b></a>
+        <ul class="dropdown-menu">
+        
+                      <li>      <a href="../../docs/overview.html"  
title="Introduction">Introduction</a>
+</li>
+                  
+                      <li>      <a href="../../docs/quick-start.html"  
title="Quick Start">Quick Start</a>
+</li>
+                  
+                      <li>      <a href="../../downloads.html"  
title="Downloads">Downloads</a>
+</li>
+                          </ul>
+      </li>
+                <li class="dropdown">
+        <a href="#" class="dropdown-toggle" 
data-toggle="dropdown">Documentaion <b class="caret"></b></a>
+        <ul class="dropdown-menu">
+        
+                      <li class="dropdown-submenu">
+                                      <a href="../../docs/index.html"  
title="v0.3.0">v0.3.0</a>
+              <ul class="dropdown-menu">
+                                  <li>      <a href="../../docs/index.html"  
title="English">English</a>
+</li>
+                                  <li>      <a href="../../docs/zh/index.html" 
 title="中文">中文</a>
+</li>
+                                  <li>      <a href="../../docs/jp/index.html" 
 title="日本語">日本語</a>
+</li>
+                                  <li>      <a href="../../docs/kr/index.html" 
 title="한국어">한국어</a>
+</li>
+                              </ul>
+            </li>
+                  
+                      <li>      <a href="../../v0.2.0/index.html"  
title="v0.2.0">v0.2.0</a>
+</li>
+                  
+                      <li>      <a href="../../v0.1.0/index.html"  
title="v0.1.0">v0.1.0</a>
+</li>
+                          </ul>
+      </li>
+                <li class="dropdown">
+        <a href="#" class="dropdown-toggle" data-toggle="dropdown">Development 
<b class="caret"></b></a>
+        <ul class="dropdown-menu">
+        
+                      <li>      <a href="../../develop/schedule.html"  
title="Schedule">Schedule</a>
+</li>
+                  
+                      <li class="dropdown-submenu">
+                                      <a 
href="../../develop/how-contribute.html"  title="How to Contribute">How to 
Contribute</a>
+              <ul class="dropdown-menu">
+                                  <li>      <a 
href="../../develop/contribute-code.html"  title="Code">Code</a>
+</li>
+                                  <li>      <a 
href="../../develop/contribute-docs.html"  
title="Documentation">Documentation</a>
+</li>
+                              </ul>
+            </li>
+                          </ul>
+      </li>
+                <li class="dropdown">
+        <a href="#" class="dropdown-toggle" data-toggle="dropdown">Community 
<b class="caret"></b></a>
+        <ul class="dropdown-menu">
+        
+                      <li>      <a 
href="../../community/source-repository.html"  title="Source Repository">Source 
Repository</a>
+</li>
+                  
+                      <li>      <a href="../../community/mail-lists.html"  
title="Mailing Lists">Mailing Lists</a>
+</li>
+                  
+                      <li>      <a href="../../community/issue-tracking.html"  
title="Issue Tracking">Issue Tracking</a>
+</li>
+                  
+                      <li>      <a href="../../community/team-list.html"  
title="SINGA Team">SINGA Team</a>
+</li>
+                          </ul>
+      </li>
+                <li class="dropdown">
+        <a href="#" class="dropdown-toggle" data-toggle="dropdown">External 
Links <b class="caret"></b></a>
+        <ul class="dropdown-menu">
+        
+                      <li>      <a href="http://www.apache.org/";  
title="Apache Software Foundation">Apache Software Foundation</a>
+</li>
+                  
+                      <li>      <a 
href="http://www.comp.nus.edu.sg/~dbsystem/singa/";  title="NUS Site">NUS 
Site</a>
+</li>
+                          </ul>
+      </li>
+                  </ul>
+          
+          
+          
+                   
+                      </div>
+          
+        </div>
+      </div>
+    </div>
+    
+        <div class="container-fluid">
+          <div id="banner">
+        <div class="pull-left">
+                                                  <a href="../../index.html" 
id="bannerLeft" title="Apache SINGA">
+                                                                               
                 <img src="../../images/singa-logo.png"  alt="Apache SINGA"/>
+                </a>
+                      </div>
+        <div class="pull-right">              <div id="bannerRight">
+                                                                               
                 <img src="../../images/singa-title.png"  alt="Apache SINGA"/>
+                </div>
+      </div>
+        <div class="clear"><hr/></div>
+      </div>
+
+      <div id="breadcrumbs">
+        <ul class="breadcrumb">
+                
+                    
+                              <li class="">
+                    <a href="../../index.html" title="Apache SINGA">
+        Apache SINGA</a>
+                    <span class="divider">/</span>
+      </li>
+        <li class="active ">Updater</li>
+        
+                
+                    
+      
+                            </ul>
+      </div>
+
+                  
+      <div class="row-fluid">
+        <div id="leftColumn" class="span2">
+          <div class="well sidebar-nav">
+                
+                    
+                <ul class="nav nav-list">
+                    <li class="nav-header">Apache SINGA</li>
+                              
+      <li>
+  
+                          <a href="../../docs/overview.html" 
title="Introduction">
+          <span class="none"></span>
+        Introduction</a>
+            </li>
+                
+      <li>
+  
+                          <a href="../../docs/quick-start.html" title="Quick 
Start">
+          <span class="none"></span>
+        Quick Start</a>
+            </li>
+                
+      <li>
+  
+                          <a href="../../downloads.html" title="Downloads">
+          <span class="none"></span>
+        Downloads</a>
+            </li>
+                              <li class="nav-header">Documentaion</li>
+                                                                               
                                                       
+      <li>
+  
+                          <a href="../../docs/index.html" title="v0.3.0">
+          <span class="icon-chevron-right"></span>
+        v0.3.0</a>
+                  </li>
+                
+      <li>
+  
+                          <a href="../../v0.2.0/index.html" title="v0.2.0">
+          <span class="none"></span>
+        v0.2.0</a>
+            </li>
+                
+      <li>
+  
+                          <a href="../../v0.1.0/index.html" title="v0.1.0">
+          <span class="none"></span>
+        v0.1.0</a>
+            </li>
+                              <li class="nav-header">Development</li>
+                              
+      <li>
+  
+                          <a href="../../develop/schedule.html" 
title="Schedule">
+          <span class="none"></span>
+        Schedule</a>
+            </li>
+                                                                               
     
+      <li>
+  
+                          <a href="../../develop/how-contribute.html" 
title="How to Contribute">
+          <span class="icon-chevron-right"></span>
+        How to Contribute</a>
+                  </li>
+                              <li class="nav-header">Community</li>
+                              
+      <li>
+  
+                          <a href="../../community/source-repository.html" 
title="Source Repository">
+          <span class="none"></span>
+        Source Repository</a>
+            </li>
+                
+      <li>
+  
+                          <a href="../../community/mail-lists.html" 
title="Mailing Lists">
+          <span class="none"></span>
+        Mailing Lists</a>
+            </li>
+                
+      <li>
+  
+                          <a href="../../community/issue-tracking.html" 
title="Issue Tracking">
+          <span class="none"></span>
+        Issue Tracking</a>
+            </li>
+                
+      <li>
+  
+                          <a href="../../community/team-list.html" 
title="SINGA Team">
+          <span class="none"></span>
+        SINGA Team</a>
+            </li>
+                              <li class="nav-header">External Links</li>
+                              
+      <li>
+  
+                          <a href="http://www.apache.org/"; 
class="externalLink" title="Apache Software Foundation">
+          <span class="none"></span>
+        Apache Software Foundation</a>
+            </li>
+                
+      <li>
+  
+                          <a 
href="http://www.comp.nus.edu.sg/~dbsystem/singa/"; class="externalLink" 
title="NUS Site">
+          <span class="none"></span>
+        NUS Site</a>
+            </li>
+            </ul>
+                
+                    
+                
+          <hr />
+
+           <div id="poweredBy">
+                            <div class="clear"></div>
+                            <div class="clear"></div>
+                            <div class="clear"></div>
+                            <div class="clear"></div>
+                                                                               
                                    <a href="http://incubator.apache.org"; 
title="apache-incubator" class="builtBy">
+        <img class="builtBy"  alt="Apache Incubator" 
src="http://incubator.apache.org/images/egg-logo.png";    />
+      </a>
+                      </div>
+          </div>
+        </div>
+        
+                        
+        <div id="bodyColumn"  class="span10" >
+                                  
+            <h1>Updater</h1>
+<hr />
+<p>Every server in SINGA has an <a 
href="../api/classsinga_1_1Updater.html">Updater</a> instance that updates 
parameters based on gradients. In this page, the <i>Basic user guide</i> 
describes the configuration of an updater. The <i>Advanced user guide</i> 
present details on how to implement a new updater and a new learning rate 
changing method.</p>
+<div class="section">
+<h2><a name="Basic_user_guide"></a>Basic user guide</h2>
+<p>There are many different parameter updating protocols (i.e., subclasses of 
<tt>Updater</tt>). They share some configuration fields like</p>
+
+<ul>
+  
+<li><tt>type</tt>, an integer for identifying an updater;</li>
+  
+<li><tt>learning_rate</tt>, configuration for the <a 
href="../api/classsinga_1_1LRGenerator.html">LRGenerator</a> which controls the 
learning rate.</li>
+  
+<li><tt>weight_decay</tt>, the co-efficient for <a class="externalLink" 
href="http://deeplearning.net/tutorial/gettingstarted.html#regularization";>L2 * 
regularization</a>.</li>
+  
+<li><a class="externalLink" 
href="http://ufldl.stanford.edu/tutorial/supervised/OptimizationStochasticGradientDescent/";>momentum</a>.</li>
+</ul>
+<p>If you are not familiar with the above terms, you can get their meanings in 
<a class="externalLink" 
href="http://cs231n.github.io/neural-networks-3/#update";>this page provided by 
Karpathy</a>.</p>
+<div class="section">
+<h3><a name="Configuration_of_built-in_updater_classes"></a>Configuration of 
built-in updater classes</h3>
+<div class="section">
+<h4><a name="Updater"></a>Updater</h4>
+<p>The base <tt>Updater</tt> implements the <a class="externalLink" 
href="http://cs231n.github.io/neural-networks-3/#sgd";>vanilla SGD 
algorithm</a>. Its configuration type is <tt>kSGD</tt>. Users need to configure 
at least the <tt>learning_rate</tt> field. <tt>momentum</tt> and 
<tt>weight_decay</tt> are optional fields.</p>
+
+<div class="source">
+<div class="source"><pre class="prettyprint">updater{
+  type: kSGD
+  momentum: float
+  weight_decay: float
+  learning_rate {
+    ...
+  }
+}
+</pre></div></div></div>
+<div class="section">
+<h4><a name="AdaGradUpdater"></a>AdaGradUpdater</h4>
+<p>It inherits the base <tt>Updater</tt> to implement the <a 
class="externalLink" 
href="http://www.magicbroom.info/Papers/DuchiHaSi10.pdf";>AdaGrad</a> algorithm. 
Its type is <tt>kAdaGrad</tt>. <tt>AdaGradUpdater</tt> is configured similar to 
<tt>Updater</tt> except that <tt>momentum</tt> is not used.</p></div>
+<div class="section">
+<h4><a name="NesterovUpdater"></a>NesterovUpdater</h4>
+<p>It inherits the base <tt>Updater</tt> to implements the <a 
class="externalLink" href="http://arxiv.org/pdf/1212.0901v2.pdf";>Nesterov</a> 
(section 3.5) updating protocol. Its type is <tt>kNesterov</tt>. 
<tt>learning_rate</tt> and <tt>momentum</tt> must be configured. 
<tt>weight_decay</tt> is an optional configuration field.</p></div>
+<div class="section">
+<h4><a name="RMSPropUpdater"></a>RMSPropUpdater</h4>
+<p>It inherits the base <tt>Updater</tt> to implements the <a 
class="externalLink" 
href="http://cs231n.github.io/neural-networks-3/#sgd";>RMSProp algorithm</a> 
proposed by <a class="externalLink" 
href="http://www.cs.toronto.edu/%7Etijmen/csc321/slides/lecture_slides_lec6.pdf";>Hinton</a>(slide
 29). Its type is <tt>kRMSProp</tt>.</p>
+
+<div class="source">
+<div class="source"><pre class="prettyprint">updater {
+  type: kRMSProp
+  rmsprop_conf {
+   rho: float # [0,1]
+  }
+}
+</pre></div></div></div></div>
+<div class="section">
+<h3><a name="Configuration_of_learning_rate"></a>Configuration of learning 
rate</h3>
+<p>The <tt>learning_rate</tt> field is configured as,</p>
+
+<div class="source">
+<div class="source"><pre class="prettyprint">learning_rate {
+  type: ChangeMethod
+  base_lr: float  # base/initial learning rate
+  ... # fields to a specific changing method
+}
+</pre></div></div>
+<p>The common fields include <tt>type</tt> and <tt>base_lr</tt>. SINGA 
provides the following <tt>ChangeMethod</tt>s.</p>
+<div class="section">
+<h4><a name="kFixed"></a>kFixed</h4>
+<p>The <tt>base_lr</tt> is used for all steps.</p></div>
+<div class="section">
+<h4><a name="kLinear"></a>kLinear</h4>
+<p>The updater should be configured like</p>
+
+<div class="source">
+<div class="source"><pre class="prettyprint">learning_rate {
+  base_lr:  float
+  linear_conf {
+    freq: int
+    final_lr: float
+  }
+}
+</pre></div></div>
+<p>Linear interpolation is used to change the learning rate,</p>
+
+<div class="source">
+<div class="source"><pre class="prettyprint">lr = (1 - step / freq) * base_lr 
+ (step / freq) * final_lr
+</pre></div></div></div>
+<div class="section">
+<h4><a name="kExponential"></a>kExponential</h4>
+<p>The udapter should be configured like</p>
+
+<div class="source">
+<div class="source"><pre class="prettyprint">learning_rate {
+  base_lr: float
+  exponential_conf {
+    freq: int
+  }
+}
+</pre></div></div>
+<p>The learning rate for <tt>step</tt> is</p>
+
+<div class="source">
+<div class="source"><pre class="prettyprint">lr = base_lr / 2^(step / freq)
+</pre></div></div></div>
+<div class="section">
+<h4><a name="kInverseT"></a>kInverseT</h4>
+<p>The updater should be configured like</p>
+
+<div class="source">
+<div class="source"><pre class="prettyprint">learning_rate {
+  base_lr: float
+  inverset_conf {
+    final_lr: float
+  }
+}
+</pre></div></div>
+<p>The learning rate for <tt>step</tt> is</p>
+
+<div class="source">
+<div class="source"><pre class="prettyprint">lr = base_lr / (1 + step / 
final_lr)
+</pre></div></div></div>
+<div class="section">
+<h4><a name="kInverse"></a>kInverse</h4>
+<p>The updater should be configured like</p>
+
+<div class="source">
+<div class="source"><pre class="prettyprint">learning_rate {
+  base_lr: float
+  inverse_conf {
+    gamma: float
+    pow: float
+  }
+}
+</pre></div></div>
+<p>The learning rate for <tt>step</tt> is</p>
+
+<div class="source">
+<div class="source"><pre class="prettyprint">lr = base_lr * (1 + gamma * 
setp)^(-pow)
+</pre></div></div></div>
+<div class="section">
+<h4><a name="kStep"></a>kStep</h4>
+<p>The updater should be configured like</p>
+
+<div class="source">
+<div class="source"><pre class="prettyprint">learning_rate {
+  base_lr : float
+  step_conf {
+    change_freq: int
+    gamma: float
+  }
+}
+</pre></div></div>
+<p>The learning rate for <tt>step</tt> is</p>
+
+<div class="source">
+<div class="source"><pre class="prettyprint">lr = base_lr * gamma^ (step / 
change_freq)
+</pre></div></div></div>
+<div class="section">
+<h4><a name="kFixedStep"></a>kFixedStep</h4>
+<p>The updater should be configured like</p>
+
+<div class="source">
+<div class="source"><pre class="prettyprint">learning_rate {
+  fixedstep_conf {
+    step: int
+    step_lr: float
+
+    step: int
+    step_lr: float
+
+    ...
+  }
+}
+</pre></div></div>
+<p>Denote the i-th tuple as (step[i], step_lr[i]), then the learning rate for 
<tt>step</tt> is,</p>
+
+<div class="source">
+<div class="source"><pre class="prettyprint">step_lr[k]
+</pre></div></div>
+<p>where step[k] is the smallest number that is larger than 
<tt>step</tt>.</p></div></div></div>
+<div class="section">
+<h2><a name="Advanced_user_guide"></a>Advanced user guide</h2>
+<div class="section">
+<h3><a name="Implementing_a_new_Updater_subclass"></a>Implementing a new 
Updater subclass</h3>
+<p>The base Updater class has one virtual function,</p>
+
+<div class="source">
+<div class="source"><pre class="prettyprint">class Updater{
+ public:
+  virtual void Update(int step, Param* param, float grad_scale = 1.0f) = 0;
+
+ protected:
+  UpdaterProto proto_;
+  LRGenerator lr_gen_;
+};
+</pre></div></div>
+<p>It updates the values of the <tt>param</tt> based on its gradients. The 
<tt>step</tt> argument is for deciding the learning rate which may change 
through time (step). <tt>grad_scale</tt> scales the original gradient values. 
This function is called by servers once it receives all gradients for the same 
<tt>Param</tt> object.</p>
+<p>To implement a new Updater subclass, users must override the 
<tt>Update</tt> function.</p>
+
+<div class="source">
+<div class="source"><pre class="prettyprint">class FooUpdater : public Updater 
{
+  void Update(int step, Param* param, float grad_scale = 1.0f) override;
+};
+</pre></div></div>
+<p>Configuration of this new updater can be declared similar to that of a new 
layer,</p>
+
+<div class="source">
+<div class="source"><pre class="prettyprint"># in user.proto
+FooUpdaterProto {
+  optional int32 c = 1;
+}
+
+extend UpdaterProto {
+  optional FooUpdaterProto fooupdater_conf= 101;
+}
+</pre></div></div>
+<p>The new updater should be registered in the <a 
href="programming-guide.html">main function</a></p>
+
+<div class="source">
+<div class="source"><pre 
class="prettyprint">driver.RegisterUpdater&lt;FooUpdater&gt;(&quot;FooUpdater&quot;);
+</pre></div></div>
+<p>Users can then configure the job as</p>
+
+<div class="source">
+<div class="source"><pre class="prettyprint"># in job.conf
+updater {
+  user_type: &quot;FooUpdater&quot;  # must use user_type with the same string 
identifier as the one used for registration
+  fooupdater_conf {
+    c : 20;
+  }
+}
+</pre></div></div></div>
+<div class="section">
+<h3><a name="Implementing_a_new_LRGenerator_subclass"></a>Implementing a new 
LRGenerator subclass</h3>
+<p>The base <tt>LRGenerator</tt> is declared as,</p>
+
+<div class="source">
+<div class="source"><pre class="prettyprint">virtual float Get(int step);
+</pre></div></div>
+<p>To implement a subclass, e.g., <tt>FooLRGen</tt>, users should declare it 
like</p>
+
+<div class="source">
+<div class="source"><pre class="prettyprint">class FooLRGen : public 
LRGenerator {
+ public:
+  float Get(int step) override;
+};
+</pre></div></div>
+<p>Configuration of <tt>FooLRGen</tt> can be defined using a protocol 
message,</p>
+
+<div class="source">
+<div class="source"><pre class="prettyprint"># in user.proto
+message FooLRProto {
+ ...
+}
+
+extend LRGenProto {
+  optional FooLRProto foolr_conf = 101;
+}
+</pre></div></div>
+<p>The configuration is then like,</p>
+
+<div class="source">
+<div class="source"><pre class="prettyprint">learning_rate {
+  user_type : &quot;FooLR&quot; # must use user_type with the same string 
identifier as the one used for registration
+  base_lr: float
+  foolr_conf {
+    ...
+  }
+}
+</pre></div></div>
+<p>Users have to register this subclass in the main function,</p>
+
+<div class="source">
+<div class="source"><pre class="prettyprint">  
driver.RegisterLRGenerator&lt;FooLRGen, std::string&gt;(&quot;FooLR&quot;)
+</pre></div></div></div></div>
+                  </div>
+            </div>
+          </div>
+
+    <hr/>
+
+    <footer>
+            <div class="container-fluid">
+                      <div class="row-fluid">
+                                                                          
+<p>Copyright © 2015 The Apache Software Foundation. All rights reserved. 
Apache Singa, Apache, the Apache feather logo, and the Apache Singa project 
logos are trademarks of The Apache Software Foundation. All other marks 
mentioned may be trademarks or registered trademarks of their respective 
owners.</p>
+                          </div>
+
+        
+                </div>
+    </footer>
+        </body>
+</html>


Reply via email to