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+<title>MADlib: Encoding Categorical Variables</title>
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+  <div class="headertitle">
+<div class="title">Encoding Categorical Variables<div class="ingroups"><a 
class="el" href="group__grp__datatrans.html">Data Types and 
Transformations</a></div></div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="toc"><b>Contents</b> <ul>
+<li>
+<a href="#categorical">Coding Systems for Categorical Variables</a> </li>
+<li>
+<a href="#examples">Examples</a> </li>
+<li>
+<a href="#literature">Literature</a> </li>
+</ul>
+</div><p><a class="anchor" id="categorical"></a></p><dl class="section 
user"><dt>Coding Systems for Categorical Variables</dt><dd>Categorical 
variables [1] require special attention in regression analysis because, unlike 
dichotomous or continuous variables, they cannot be entered into the regression 
equation just as they are. For example, if you have a variable called race that 
is coded with 1=Hispanic, 2=Asian, 3=Black, 4=White, then entering race in your 
regression will look at the linear effect of the race variable, which is 
probably not what you intended. Instead, categorical variables like this need 
to be coded into a series of indicator variables which can then be entered into 
the regression model. There are a variety of coding systems that can be used 
for coding categorical variables, including one-hot, dummy, effects, 
orthogonal, and Helmert.</dd></dl>
+<p>We currently support one-hot and dummy coding techniques.</p>
+<p>Dummy coding is used when a researcher wants to compare other groups of the 
predictor variable with one specific group of the predictor variable. Often, 
the specific group to compare with is called the reference group.</p>
+<p>One-hot encoding is similar to dummy coding except it builds indicator 
(0/1) columns (cast as numeric) for each value of each category. Only one of 
these columns could take on the value 1 for each row (data point). There is no 
reference category for this function.</p>
+<pre class="syntax">
+encode_categorical_variables (
+        source_table,
+        output_table,
+        categorical_cols,
+        categorical_cols_to_exclude,    -- Optional
+        row_id,                         -- Optional
+        top,                            -- Optional
+        value_to_drop,                  -- Optional
+        encode_null,                    -- Optional
+        output_type,                    -- Optional
+        output_dictionary,              -- Optional
+        distributed_by                  -- Optional
+        )
+</pre><p> <b>Arguments</b> </p><dl class="arglist">
+<dt>source_table </dt>
+<dd><p class="startdd">VARCHAR. Name of the table containing the source 
categorical data to encode.</p>
+<p class="enddd"></p>
+</dd>
+<dt>output_table </dt>
+<dd><p class="startdd">VARCHAR. Name of the result table.</p>
+<dl class="section note"><dt>Note</dt><dd>If there are index columns in the 
'source_table' specified by the parameter 'row_id' (see below), then the output 
table will contain only the index columns 'row_id' and the encoded columns. If 
the parameter 'row_id' is not specified, then all columns from the 
'source_table', with the exception of the original columns that have been 
encoded, will be included in the 'output_table'. </dd></dl>
+</dd>
+<dt>categorical_cols </dt>
+<dd><p class="startdd">VARCHAR. Comma-separated string of column names of 
categorical variables to encode. Can also be '*' meaning all columns are to be 
encoded, except the ones specified in 'categorical_cols_to_exclude' and 
'row_id'. Please note that all Boolean, integer and text columns are considered 
categorical columns and will be encoded when ‘*’ is specified for this 
argument. </p>
+<p class="enddd"></p>
+</dd>
+<dt>categorical_cols_to_exclude (optional) </dt>
+<dd><p class="startdd">VARCHAR. Comma-separated string of column names to 
exclude from the categorical variables to encode. Applicable only if 
'categorical_cols' = '*'. </p>
+<p class="enddd"></p>
+</dd>
+<dt>row_id (optional) </dt>
+<dd><p class="startdd">VARCHAR. Comma-separated column name(s) corresponding 
to the primary key(s) of the source table. This parameter determines the format 
of the 'output_table' as described above. If 'categorical_cols' = '*', these 
columns will be excluded from encoding (but will be included in the output 
table).</p>
+<dl class="section note"><dt>Note</dt><dd>If you want to see both the raw 
categorical variable and its encoded form in the output_table, then include the 
categorical variable in the 'row_id' parameter. However, this will not work if 
you specify '*' for the parameter 'categorical_cols', because in this case 
'row_id' columns will not be encoded at all. </dd></dl>
+</dd>
+<dt>top (optional) </dt>
+<dd><p class="startdd">VARCHAR. default: NULL. If integer, encodes the top n 
values by frequency. If float in the range (0.0, 1.0), encodes the specified 
fraction of values by frequency (e.g., 0.1 means top 10%). Can be specified as 
a global for all categorical columns, or as a dictionary with separate 'top' 
values for each categorical variable. Set to NULL to encode all levels (values) 
for all categorical columns. </p>
+<p class="enddd"></p>
+</dd>
+<dt>value_to_drop (optional) </dt>
+<dd><p class="startdd">VARCHAR. Default: NULL.</p>
+<ul>
+<li>For dummy coding, indicate the desired value (reference) to drop for each 
categorical variable. Can be specified as a global for all categorical columns, 
or a comma-separated string containing items of the form 'name=value', where 
'name' is the column name and 'value' is the reference value to be dropped.</li>
+<li>Set to NULL for one-hot encoding (default)</li>
+</ul>
+<dl class="section note"><dt>Note</dt><dd>If you specify both 'value_to_drop' 
and 'top' parameters, the 'value_to_drop' will be applied first (takes 
priority), then 'top' will be applied to the remaining values. </dd></dl>
+</dd>
+<dt>encode_null (optional) </dt>
+<dd><p class="startdd">BOOLEAN. default: FALSE. Whether NULL should be treated 
as one of the values of the categorical variable. If TRUE, then an indicator 
variable is created corresponding to the NULL value. If FALSE, then all encoded 
values for that variable will be set to 0. </p>
+<p class="enddd"></p>
+</dd>
+<dt>output_type (optional) </dt>
+<dd><p class="startdd">VARCHAR. default: 'column'. This parameter controls the 
output format of the indicator variables. If 'column', a column is created for 
each indicator variable. PostgreSQL limits the number of columns in a table. If 
the total number of indicator columns exceeds the limit, then make this 
parameter either 'array' to combine the indicator columns into an array or 
'svec' to cast the array output to <em>'madlib.svec'</em> type.</p>
+<p>Since the array output for any single tuple would be sparse (only one 
non-zero entry for each categorical column), the 'svec' output would be most 
efficient for storage. The 'array' output is useful if the array is used for 
post-processing, including concatenating with other non-categorical 
features.</p>
+<p>The order of the array is the same as specified in 'categorical_cols'. A 
dictionary will be created when 'output_type' is 'array' or 'svec' to define an 
index into the array. The dictionary table will be given the name of the 
'output_table' appended by '_dictionary'. </p>
+<p class="enddd"></p>
+</dd>
+<dt>output_dictionary (optional) </dt>
+<dd><p class="startdd">BOOLEAN. default: FALSE. This parameter is used to 
handle auto-generated column names that exceed the PostgreSQL limit of 63 
bytes.</p>
+<ul>
+<li>If TRUE, column names will include numerical IDs and will create a 
dictionary table called 'output_table_dictionary' ('output_table' appended with 
'_dictionary').</li>
+<li>If FALSE, will auto-generate column names in the usual way unless the 
limit of 63 bytes will be exceeded. In this case, a dictionary output file will 
be created and a message given to the user. </li>
+</ul>
+<p class="enddd"></p>
+</dd>
+<dt>distributed_by (optional) </dt>
+<dd><p class="startdd">VARCHAR. default: NULL. Columns to use for the 
distribution policy of the output table. When NULL, either 'row_id' is used as 
distribution policy (when provided), or else the distribution policy of 
'source_table' will be used. This argument does not apply to PostgreSQL 
platforms.</p>
+<ul>
+<li>NULL: By default, the distribution policy of the source_table will be 
used.</li>
+<li>Comma-separated column names: Column(s) to be used for the distribution 
key.</li>
+<li>RANDOMLY: Use random distribution policy (only if there does not exist a 
column named 'randomly').</li>
+</ul>
+<p class="enddd"></p>
+</dd>
+</dl>
+<p><a class="anchor" id="examples"></a></p><dl class="section 
user"><dt>Examples</dt><dd></dd></dl>
+<ol type="1">
+<li>Use a subset of the abalone dataset [2]: <pre class="example">
+DROP TABLE IF EXISTS abalone;
+CREATE TABLE abalone (
+    id serial,
+    sex character varying,
+    length double precision,
+    diameter double precision,
+    height double precision,
+    rings int
+);
+INSERT INTO abalone (sex, length, diameter, height, rings) VALUES
+('M',    0.455,  0.365,  0.095,  15),
+('M',    0.35,   0.265,  0.09,   7),
+('F',    0.53,   0.42,   0.135,  9),
+('M',    0.44,   0.365,  0.125,  10),
+('I',    0.33,   0.255,  0.08,   7),
+('I',    0.425,  0.3,    0.095,  8),
+('F',    0.53,   0.415,  0.15,   20),
+('F',    0.545,  0.425,  0.125,  16),
+('M',    0.475,  0.37,   0.125,  9),
+(NULL,   0.55,   0.44,   0.15,   19),
+('F',    0.525,  0.38,   0.14,   14),
+('M',    0.43,   0.35,   0.11,   10),
+('M',    0.49,   0.38,   0.135,  11),
+('F',    0.535,  0.405,  0.145,  10),
+('F',    0.47,   0.355,  0.1,    10),
+('M',    0.5,    0.4,    0.13,   12),
+('I',    0.355,  0.28,   0.085,  7),
+('F',    0.44,   0.34,   0.1,    10),
+('M',    0.365,  0.295,  0.08,   7),
+(NULL,   0.45,   0.32,   0.1,    9);
+</pre></li>
+<li>Create new table with one-hot encoding. The column 'sex' is replaced by 
three columns encoding the values 'F', 'M' and 'I'. Null values are not encoded 
by default: <pre class="example">
+DROP TABLE IF EXISTS abalone_out, abalone_out_dictionary;
+SELECT madlib.encode_categorical_variables (
+        'abalone',                   -- Source table
+        'abalone_out',               -- Output table
+        'sex'                        -- Categorical columns
+        );
+SELECT * FROM abalone_out ORDER BY id;
+</pre> <pre class="result">
+  id | length | diameter | height | rings | sex_F | sex_I | sex_M
+----+--------+----------+--------+-------+-------+-------+-------
+  1 |  0.455 |    0.365 |  0.095 |    15 |     0 |     0 |     1
+  2 |   0.35 |    0.265 |   0.09 |     7 |     0 |     0 |     1
+  3 |   0.53 |     0.42 |  0.135 |     9 |     1 |     0 |     0
+  4 |   0.44 |    0.365 |  0.125 |    10 |     0 |     0 |     1
+  5 |   0.33 |    0.255 |   0.08 |     7 |     0 |     1 |     0
+  6 |  0.425 |      0.3 |  0.095 |     8 |     0 |     1 |     0
+  7 |   0.53 |    0.415 |   0.15 |    20 |     1 |     0 |     0
+  8 |  0.545 |    0.425 |  0.125 |    16 |     1 |     0 |     0
+  9 |  0.475 |     0.37 |  0.125 |     9 |     0 |     0 |     1
+ 10 |   0.55 |     0.44 |   0.15 |    19 |     0 |     0 |     0
+ 11 |  0.525 |     0.38 |   0.14 |    14 |     1 |     0 |     0
+ 12 |   0.43 |     0.35 |   0.11 |    10 |     0 |     0 |     1
+ 13 |   0.49 |     0.38 |  0.135 |    11 |     0 |     0 |     1
+ 14 |  0.535 |    0.405 |  0.145 |    10 |     1 |     0 |     0
+ 15 |   0.47 |    0.355 |    0.1 |    10 |     1 |     0 |     0
+ 16 |    0.5 |      0.4 |   0.13 |    12 |     0 |     0 |     1
+ 17 |  0.355 |     0.28 |  0.085 |     7 |     0 |     1 |     0
+ 18 |   0.44 |     0.34 |    0.1 |    10 |     1 |     0 |     0
+ 19 |  0.365 |    0.295 |   0.08 |     7 |     0 |     0 |     1
+ 20 |   0.45 |     0.32 |    0.1 |     9 |     0 |     0 |     0
+(20 rows)
+</pre></li>
+<li>Now include NULL values in encoding (note the additional column 
'sex_null'): <pre class="example">
+DROP TABLE IF EXISTS abalone_out, abalone_out_dictionary;
+SELECT madlib.encode_categorical_variables (
+        'abalone',                   -- Source table
+        'abalone_out',               -- Output table
+        'sex',                       -- Categorical columns
+        NULL,                        -- Categorical columns to exclude
+        NULL,                        -- Index columns
+        NULL,                        -- Top values
+        NULL,                        -- Value to drop for dummy encoding
+        TRUE                         -- Encode nulls
+        );
+SELECT * FROM abalone_out ORDER BY id;
+</pre> <pre class="result">
+ id | length | diameter | height | rings | sex_F | sex_I | sex_M | sex_null
+----+--------+----------+--------+-------+-------+-------+-------+----------
+  1 |  0.455 |    0.365 |  0.095 |    15 |     0 |     0 |     1 |        0
+  2 |   0.35 |    0.265 |   0.09 |     7 |     0 |     0 |     1 |        0
+  3 |   0.53 |     0.42 |  0.135 |     9 |     1 |     0 |     0 |        0
+  4 |   0.44 |    0.365 |  0.125 |    10 |     0 |     0 |     1 |        0
+  5 |   0.33 |    0.255 |   0.08 |     7 |     0 |     1 |     0 |        0
+  6 |  0.425 |      0.3 |  0.095 |     8 |     0 |     1 |     0 |        0
+  7 |   0.53 |    0.415 |   0.15 |    20 |     1 |     0 |     0 |        0
+  8 |  0.545 |    0.425 |  0.125 |    16 |     1 |     0 |     0 |        0
+  9 |  0.475 |     0.37 |  0.125 |     9 |     0 |     0 |     1 |        0
+ 10 |   0.55 |     0.44 |   0.15 |    19 |     0 |     0 |     0 |        1
+ 11 |  0.525 |     0.38 |   0.14 |    14 |     1 |     0 |     0 |        0
+ 12 |   0.43 |     0.35 |   0.11 |    10 |     0 |     0 |     1 |        0
+ 13 |   0.49 |     0.38 |  0.135 |    11 |     0 |     0 |     1 |        0
+ 14 |  0.535 |    0.405 |  0.145 |    10 |     1 |     0 |     0 |        0
+ 15 |   0.47 |    0.355 |    0.1 |    10 |     1 |     0 |     0 |        0
+ 16 |    0.5 |      0.4 |   0.13 |    12 |     0 |     0 |     1 |        0
+ 17 |  0.355 |     0.28 |  0.085 |     7 |     0 |     1 |     0 |        0
+ 18 |   0.44 |     0.34 |    0.1 |    10 |     1 |     0 |     0 |        0
+ 19 |  0.365 |    0.295 |   0.08 |     7 |     0 |     0 |     1 |        0
+ 20 |   0.45 |     0.32 |    0.1 |     9 |     0 |     0 |     0 |        1
+(20 rows)
+</pre></li>
+<li>Encode all categorical variables in the source table. Also, specify the 
column 'id' as the index (primary key) which changes the output table to 
include only the index and the encoded variables: <pre class="example">
+DROP TABLE IF EXISTS abalone_out, abalone_out_dictionary;
+SELECT madlib.encode_categorical_variables (
+        'abalone',                   -- Source table
+        'abalone_out',               -- Output table
+        '*',                         -- Categorical columns
+        NULL,                        -- Categorical columns to exclude
+        'id'                         -- Index columns
+        );
+SELECT * FROM abalone_out ORDER BY id;
+</pre> <pre class="result">
+ id | sex_F | sex_I | sex_M | rings_7 | rings_8 | rings_9 | rings_10 | 
rings_11 | rings_12 | rings_14 | rings_15 | rings_16 | rings_19 | rings_20
+----+-------+-------+-------+---------+---------+---------+----------+----------+----------+----------+----------+----------+----------+----------
+  1 |     0 |     0 |     1 |       0 |       0 |       0 |        0 |        
0 |        0 |        0 |        1 |        0 |        0 |        0
+  2 |     0 |     0 |     1 |       1 |       0 |       0 |        0 |        
0 |        0 |        0 |        0 |        0 |        0 |        0
+  3 |     1 |     0 |     0 |       0 |       0 |       1 |        0 |        
0 |        0 |        0 |        0 |        0 |        0 |        0
+  4 |     0 |     0 |     1 |       0 |       0 |       0 |        1 |        
0 |        0 |        0 |        0 |        0 |        0 |        0
+  5 |     0 |     1 |     0 |       1 |       0 |       0 |        0 |        
0 |        0 |        0 |        0 |        0 |        0 |        0
+  6 |     0 |     1 |     0 |       0 |       1 |       0 |        0 |        
0 |        0 |        0 |        0 |        0 |        0 |        0
+  7 |     1 |     0 |     0 |       0 |       0 |       0 |        0 |        
0 |        0 |        0 |        0 |        0 |        0 |        1
+  8 |     1 |     0 |     0 |       0 |       0 |       0 |        0 |        
0 |        0 |        0 |        0 |        1 |        0 |        0
+  9 |     0 |     0 |     1 |       0 |       0 |       1 |        0 |        
0 |        0 |        0 |        0 |        0 |        0 |        0
+ 10 |     0 |     0 |     0 |       0 |       0 |       0 |        0 |        
0 |        0 |        0 |        0 |        0 |        1 |        0
+ 11 |     1 |     0 |     0 |       0 |       0 |       0 |        0 |        
0 |        0 |        1 |        0 |        0 |        0 |        0
+ 12 |     0 |     0 |     1 |       0 |       0 |       0 |        1 |        
0 |        0 |        0 |        0 |        0 |        0 |        0
+ 13 |     0 |     0 |     1 |       0 |       0 |       0 |        0 |        
1 |        0 |        0 |        0 |        0 |        0 |        0
+ 14 |     1 |     0 |     0 |       0 |       0 |       0 |        1 |        
0 |        0 |        0 |        0 |        0 |        0 |        0
+ 15 |     1 |     0 |     0 |       0 |       0 |       0 |        1 |        
0 |        0 |        0 |        0 |        0 |        0 |        0
+ 16 |     0 |     0 |     1 |       0 |       0 |       0 |        0 |        
0 |        1 |        0 |        0 |        0 |        0 |        0
+ 17 |     0 |     1 |     0 |       1 |       0 |       0 |        0 |        
0 |        0 |        0 |        0 |        0 |        0 |        0
+ 18 |     1 |     0 |     0 |       0 |       0 |       0 |        1 |        
0 |        0 |        0 |        0 |        0 |        0 |        0
+ 19 |     0 |     0 |     1 |       1 |       0 |       0 |        0 |        
0 |        0 |        0 |        0 |        0 |        0 |        0
+ 20 |     0 |     0 |     0 |       0 |       0 |       1 |        0 |        
0 |        0 |        0 |        0 |        0 |        0 |        0
+(20 rows)
+</pre></li>
+<li>Now let's encode only the top values and group others into a miscellaneous 
bucket column. Top values can be global across all columns or specified by 
column. As an example of the latter, here are the top 2 'sex' values and the 
top 50% of 'rings' values: <pre class="example">
+DROP TABLE IF EXISTS abalone_out, abalone_out_dictionary;
+SELECT madlib.encode_categorical_variables (
+        'abalone',                   -- Source table
+        'abalone_out',               -- Output table
+        '*',                         -- Categorical columns
+        NULL,                        -- Categorical columns to exclude
+        'id',                        -- Index columns
+        'sex=2, rings=0.5'           -- Top values
+        );
+SELECT * FROM abalone_out ORDER BY id;
+</pre> <pre class="result">
+ id | sex_M | sex_F | sex__misc__ | rings_10 | rings_7 | rings_9 | 
rings__misc__
+----+-------+-------+-------------+----------+---------+---------+---------------
+  1 |     1 |     0 |           0 |        0 |       0 |       0 |             
1
+  2 |     1 |     0 |           0 |        0 |       1 |       0 |             0
+  3 |     0 |     1 |           0 |        0 |       0 |       1 |             0
+  4 |     1 |     0 |           0 |        1 |       0 |       0 |             0
+  5 |     0 |     0 |           1 |        0 |       1 |       0 |             0
+  6 |     0 |     0 |           1 |        0 |       0 |       0 |             
1
+  7 |     0 |     1 |           0 |        0 |       0 |       0 |             
1
+  8 |     0 |     1 |           0 |        0 |       0 |       0 |             
1
+  9 |     1 |     0 |           0 |        0 |       0 |       1 |             0
+ 10 |     0 |     0 |           0 |        0 |       0 |       0 |             
1
+ 11 |     0 |     1 |           0 |        0 |       0 |       0 |             
1
+ 12 |     1 |     0 |           0 |        1 |       0 |       0 |             0
+ 13 |     1 |     0 |           0 |        0 |       0 |       0 |             
1
+ 14 |     0 |     1 |           0 |        1 |       0 |       0 |             0
+ 15 |     0 |     1 |           0 |        1 |       0 |       0 |             0
+ 16 |     1 |     0 |           0 |        0 |       0 |       0 |             
1
+ 17 |     0 |     0 |           1 |        0 |       1 |       0 |             0
+ 18 |     0 |     1 |           0 |        1 |       0 |       0 |             0
+ 19 |     1 |     0 |           0 |        0 |       1 |       0 |             0
+ 20 |     0 |     0 |           0 |        0 |       0 |       1 |             0
+(20 rows)
+</pre></li>
+<li>If you want to see both the raw categorical variable and its encoded form 
in the output_table, then include the categorical variable(s) in the index 
parameter. (Remember that this will not work if you specify '*' for the 
parameter 'categorical_cols', because in this case 'row_id' columns will not be 
encoded at all.) <pre class="example">
+DROP TABLE IF EXISTS abalone_out, abalone_out_dictionary;
+SELECT madlib.encode_categorical_variables (
+        'abalone',                   -- Source table
+        'abalone_out',               -- Output table
+        'sex, rings',                -- Categorical columns
+        NULL,                        -- Categorical columns to exclude
+        'id, sex, rings'             -- Index columns
+        );
+SELECT * FROM abalone_out ORDER BY id;
+</pre> <pre class="result">
+ id | sex | rings | sex_F | sex_I | sex_M | rings_7 | rings_8 | rings_9 | 
rings_10 | rings_11 | rings_12 | rings_14 | rings_15 | rings_16 | rings_19 | 
rings_20
+----+-----+-------+-------+-------+-------+---------+---------+---------+----------+----------+----------+----------+----------+----------+----------+----------
+  1 | M   |    15 |     0 |     0 |     1 |       0 |       0 |       0 |      
  0 |        0 |        0 |        0 |        1 |        0 |        0 |        0
+  2 | M   |     7 |     0 |     0 |     1 |       1 |       0 |       0 |      
  0 |        0 |        0 |        0 |        0 |        0 |        0 |        0
+  3 | F   |     9 |     1 |     0 |     0 |       0 |       0 |       1 |      
  0 |        0 |        0 |        0 |        0 |        0 |        0 |        0
+  4 | M   |    10 |     0 |     0 |     1 |       0 |       0 |       0 |      
  1 |        0 |        0 |        0 |        0 |        0 |        0 |        0
+  5 | I   |     7 |     0 |     1 |     0 |       1 |       0 |       0 |      
  0 |        0 |        0 |        0 |        0 |        0 |        0 |        0
+  6 | I   |     8 |     0 |     1 |     0 |       0 |       1 |       0 |      
  0 |        0 |        0 |        0 |        0 |        0 |        0 |        0
+  7 | F   |    20 |     1 |     0 |     0 |       0 |       0 |       0 |      
  0 |        0 |        0 |        0 |        0 |        0 |        0 |        1
+  8 | F   |    16 |     1 |     0 |     0 |       0 |       0 |       0 |      
  0 |        0 |        0 |        0 |        0 |        1 |        0 |        0
+  9 | M   |     9 |     0 |     0 |     1 |       0 |       0 |       1 |      
  0 |        0 |        0 |        0 |        0 |        0 |        0 |        0
+ 10 |     |    19 |     0 |     0 |     0 |       0 |       0 |       0 |      
  0 |        0 |        0 |        0 |        0 |        0 |        1 |        0
+ 11 | F   |    14 |     1 |     0 |     0 |       0 |       0 |       0 |      
  0 |        0 |        0 |        1 |        0 |        0 |        0 |        0
+ 12 | M   |    10 |     0 |     0 |     1 |       0 |       0 |       0 |      
  1 |        0 |        0 |        0 |        0 |        0 |        0 |        0
+ 13 | M   |    11 |     0 |     0 |     1 |       0 |       0 |       0 |      
  0 |        1 |        0 |        0 |        0 |        0 |        0 |        0
+ 14 | F   |    10 |     1 |     0 |     0 |       0 |       0 |       0 |      
  1 |        0 |        0 |        0 |        0 |        0 |        0 |        0
+ 15 | F   |    10 |     1 |     0 |     0 |       0 |       0 |       0 |      
  1 |        0 |        0 |        0 |        0 |        0 |        0 |        0
+ 16 | M   |    12 |     0 |     0 |     1 |       0 |       0 |       0 |      
  0 |        0 |        1 |        0 |        0 |        0 |        0 |        0
+ 17 | I   |     7 |     0 |     1 |     0 |       1 |       0 |       0 |      
  0 |        0 |        0 |        0 |        0 |        0 |        0 |        0
+ 18 | F   |    10 |     1 |     0 |     0 |       0 |       0 |       0 |      
  1 |        0 |        0 |        0 |        0 |        0 |        0 |        0
+ 19 | M   |     7 |     0 |     0 |     1 |       1 |       0 |       0 |      
  0 |        0 |        0 |        0 |        0 |        0 |        0 |        0
+ 20 |     |     9 |     0 |     0 |     0 |       0 |       0 |       1 |      
  0 |        0 |        0 |        0 |        0 |        0 |        0 |        0
+(20 rows)
+</pre></li>
+<li>For dummy encoding, let's make the 'I' value from the 'sex' variable as 
the reference. Here we use the 'value_to_drop' parameter: <pre class="example">
+DROP TABLE IF EXISTS abalone_out, abalone_out_dictionary;
+SELECT madlib.encode_categorical_variables (
+        'abalone',                   -- Source table
+        'abalone_out',               -- Output table
+        '*',                         -- Categorical columns
+        'rings',                     -- Categorical columns to exclude
+        'id',                        -- Index columns
+        NULL,                        -- Top value
+        'sex=I'                      -- Value to drop for dummy encoding
+        );
+SELECT * FROM abalone_out ORDER BY id;
+</pre> <pre class="result">
+  id | sex_F | sex_M
+----+-------+-------
+  1 |     0 |     1
+  2 |     0 |     1
+  3 |     1 |     0
+  4 |     0 |     1
+  5 |     0 |     0
+  6 |     0 |     0
+  7 |     1 |     0
+  8 |     1 |     0
+  9 |     0 |     1
+ 10 |     0 |     0
+ 11 |     1 |     0
+ 12 |     0 |     1
+ 13 |     0 |     1
+ 14 |     1 |     0
+ 15 |     1 |     0
+ 16 |     0 |     1
+ 17 |     0 |     0
+ 18 |     1 |     0
+ 19 |     0 |     1
+ 20 |     0 |     0
+(20 rows)
+</pre></li>
+<li>Create an array output for the two categorical variables in the source 
table: <pre class="example">
+DROP TABLE IF EXISTS abalone_out, abalone_out_dictionary;
+SELECT madlib.encode_categorical_variables (
+        'abalone',                   -- Source table
+        'abalone_out',               -- Output table
+        '*',                         -- Categorical columns
+        NULL,                        -- Categorical columns to exclude
+        'id',                        -- Index columns
+        NULL,                        -- Top values
+        NULL,                        -- Value to drop for dummy encoding
+        NULL,                        -- Encode nulls
+        'array'                      -- Array output type
+        );
+SELECT * FROM abalone_out ORDER BY id;
+</pre> <pre class="result">
+ id |     __encoded_variables__
+----+-------------------------------
+  1 | {0,0,1,0,0,0,0,0,0,0,1,0,0,0}
+  2 | {0,0,1,1,0,0,0,0,0,0,0,0,0,0}
+  3 | {1,0,0,0,0,1,0,0,0,0,0,0,0,0}
+  4 | {0,0,1,0,0,0,1,0,0,0,0,0,0,0}
+  5 | {0,1,0,1,0,0,0,0,0,0,0,0,0,0}
+  6 | {0,1,0,0,1,0,0,0,0,0,0,0,0,0}
+  7 | {1,0,0,0,0,0,0,0,0,0,0,0,0,1}
+  8 | {1,0,0,0,0,0,0,0,0,0,0,1,0,0}
+  9 | {0,0,1,0,0,1,0,0,0,0,0,0,0,0}
+ 10 | {0,0,0,0,0,0,0,0,0,0,0,0,1,0}
+ 11 | {1,0,0,0,0,0,0,0,0,1,0,0,0,0}
+ 12 | {0,0,1,0,0,0,1,0,0,0,0,0,0,0}
+ 13 | {0,0,1,0,0,0,0,1,0,0,0,0,0,0}
+ 14 | {1,0,0,0,0,0,1,0,0,0,0,0,0,0}
+ 15 | {1,0,0,0,0,0,1,0,0,0,0,0,0,0}
+ 16 | {0,0,1,0,0,0,0,0,1,0,0,0,0,0}
+ 17 | {0,1,0,1,0,0,0,0,0,0,0,0,0,0}
+ 18 | {1,0,0,0,0,0,1,0,0,0,0,0,0,0}
+ 19 | {0,0,1,1,0,0,0,0,0,0,0,0,0,0}
+ 20 | {0,0,0,0,0,1,0,0,0,0,0,0,0,0}
+(20 rows)
+</pre> View the dictionary table that gives the index into the array: <pre 
class="example">
+SELECT * FROM abalone_out_dictionary;
+</pre> <pre class="result">
+  encoded_column_name  | index | variable | value
+-----------------------+-------+----------+-------
+ __encoded_variables__ |     1 | sex      | F
+ __encoded_variables__ |     2 | sex      | I
+ __encoded_variables__ |     3 | sex      | M
+ __encoded_variables__ |     4 | rings    | 7
+ __encoded_variables__ |     5 | rings    | 8
+ __encoded_variables__ |     6 | rings    | 9
+ __encoded_variables__ |     7 | rings    | 10
+ __encoded_variables__ |     8 | rings    | 11
+ __encoded_variables__ |     9 | rings    | 12
+ __encoded_variables__ |    10 | rings    | 14
+ __encoded_variables__ |    11 | rings    | 15
+ __encoded_variables__ |    12 | rings    | 16
+ __encoded_variables__ |    13 | rings    | 19
+ __encoded_variables__ |    14 | rings    | 20
+(14 rows)
+</pre></li>
+<li>Create a dictionary output: <pre class="example">
+DROP TABLE IF EXISTS abalone_out, abalone_out_dictionary;
+SELECT madlib.encode_categorical_variables (
+        'abalone',                   -- Source table
+        'abalone_out',               -- Output table
+        '*',                         -- Categorical columns
+        NULL,                        -- Categorical columns to exclude
+        'id',                        -- Index columns
+        NULL,                        -- Top values
+        NULL,                        -- Value to drop for dummy encoding
+        NULL,                        -- Encode nulls
+        NULL,                        -- Output type
+        TRUE                         -- Dictionary output
+        );
+SELECT * FROM abalone_out ORDER BY id;
+</pre> <pre class="result">
+ id | sex_1 | sex_2 | sex_3 | rings_1 | rings_2 | rings_3 | rings_4 | rings_5 
| rings_6 | rings_7 | rings_8 | rings_9 | rings_10 | rings_11
+----+-------+-------+-------+---------+---------+---------+---------+---------+---------+---------+---------+---------+----------+----------
+  1 |     0 |     0 |     1 |       0 |       0 |       0 |       0 |       0 
|       0 |       0 |       1 |       0 |        0 |        0
+  2 |     0 |     0 |     1 |       1 |       0 |       0 |       0 |       0 
|       0 |       0 |       0 |       0 |        0 |        0
+  3 |     1 |     0 |     0 |       0 |       0 |       1 |       0 |       0 
|       0 |       0 |       0 |       0 |        0 |        0
+  4 |     0 |     0 |     1 |       0 |       0 |       0 |       1 |       0 
|       0 |       0 |       0 |       0 |        0 |        0
+  5 |     0 |     1 |     0 |       1 |       0 |       0 |       0 |       0 
|       0 |       0 |       0 |       0 |        0 |        0
+  6 |     0 |     1 |     0 |       0 |       1 |       0 |       0 |       0 
|       0 |       0 |       0 |       0 |        0 |        0
+  7 |     1 |     0 |     0 |       0 |       0 |       0 |       0 |       0 
|       0 |       0 |       0 |       0 |        0 |        1
+  8 |     1 |     0 |     0 |       0 |       0 |       0 |       0 |       0 
|       0 |       0 |       0 |       1 |        0 |        0
+  9 |     0 |     0 |     1 |       0 |       0 |       1 |       0 |       0 
|       0 |       0 |       0 |       0 |        0 |        0
+ 10 |     0 |     0 |     0 |       0 |       0 |       0 |       0 |       0 
|       0 |       0 |       0 |       0 |        1 |        0
+ 11 |     1 |     0 |     0 |       0 |       0 |       0 |       0 |       0 
|       0 |       1 |       0 |       0 |        0 |        0
+ 12 |     0 |     0 |     1 |       0 |       0 |       0 |       1 |       0 
|       0 |       0 |       0 |       0 |        0 |        0
+ 13 |     0 |     0 |     1 |       0 |       0 |       0 |       0 |       1 
|       0 |       0 |       0 |       0 |        0 |        0
+ 14 |     1 |     0 |     0 |       0 |       0 |       0 |       1 |       0 
|       0 |       0 |       0 |       0 |        0 |        0
+ 15 |     1 |     0 |     0 |       0 |       0 |       0 |       1 |       0 
|       0 |       0 |       0 |       0 |        0 |        0
+ 16 |     0 |     0 |     1 |       0 |       0 |       0 |       0 |       0 
|       1 |       0 |       0 |       0 |        0 |        0
+ 17 |     0 |     1 |     0 |       1 |       0 |       0 |       0 |       0 
|       0 |       0 |       0 |       0 |        0 |        0
+ 18 |     1 |     0 |     0 |       0 |       0 |       0 |       1 |       0 
|       0 |       0 |       0 |       0 |        0 |        0
+ 19 |     0 |     0 |     1 |       1 |       0 |       0 |       0 |       0 
|       0 |       0 |       0 |       0 |        0 |        0
+ 20 |     0 |     0 |     0 |       0 |       0 |       1 |       0 |       0 
|       0 |       0 |       0 |       0 |        0 |        0
+(20 rows)
+</pre> View the dictionary table that defines the numerical columns in the 
output table: <pre class="example">
+SELECT * FROM abalone_out_dictionary ORDER BY encoded_column_name;
+</pre> <pre class="result">
+ encoded_column_name | index | variable | value
+---------------------+-------+----------+-------
+ "rings_1"           |     1 | rings    | 7
+ "rings_10"          |    10 | rings    | 19
+ "rings_11"          |    11 | rings    | 20
+ "rings_2"           |     2 | rings    | 8
+ "rings_3"           |     3 | rings    | 9
+ "rings_4"           |     4 | rings    | 10
+ "rings_5"           |     5 | rings    | 11
+ "rings_6"           |     6 | rings    | 12
+ "rings_7"           |     7 | rings    | 14
+ "rings_8"           |     8 | rings    | 15
+ "rings_9"           |     9 | rings    | 16
+ "sex_1"             |     1 | sex      | F
+ "sex_2"             |     2 | sex      | I
+ "sex_3"             |     3 | sex      | M
+(14 rows)
+</pre></li>
+<li>We can chose from various distribution policies of the output table, for 
examply RANDOMLY: <pre class="example">
+DROP TABLE IF EXISTS abalone_out, abalone_out_dictionary;
+SELECT madlib.encode_categorical_variables (
+        'abalone',                   -- Source table
+        'abalone_out',               -- Output table
+        '*',                         -- Categorical columns
+        NULL,                        -- Categorical columns to exclude
+        'id',                        -- Index columns
+        NULL,                        -- Top values
+        NULL,                        -- Value to drop for dummy encoding
+        NULL,                        -- Encode nulls
+        NULL,                        -- Output type
+        NULL,                        -- Dictionary output
+        'RANDOMLY'                   -- Distribution policy
+        );
+SELECT * FROM abalone_out ORDER BY id;
+</pre> <pre class="result">
+ id | sex_F | sex_I | sex_M | rings_10 | rings_11 | rings_12 | rings_14 | 
rings_15 | rings_16 | rings_19 | rings_20 | rings_7 | rings_8 | rings_9
+----+-------+-------+-------+----------+----------+----------+----------+----------+----------+----------+----------+---------+---------+---------
+  1 |     0 |     0 |     1 |        0 |        0 |        0 |        0 |      
  1 |        0 |        0 |        0 |       0 |       0 |       0
+  2 |     0 |     0 |     1 |        0 |        0 |        0 |        0 |      
  0 |        0 |        0 |        0 |       1 |       0 |       0
+  3 |     1 |     0 |     0 |        0 |        0 |        0 |        0 |      
  0 |        0 |        0 |        0 |       0 |       0 |       1
+  4 |     0 |     0 |     1 |        1 |        0 |        0 |        0 |      
  0 |        0 |        0 |        0 |       0 |       0 |       0
+  5 |     0 |     1 |     0 |        0 |        0 |        0 |        0 |      
  0 |        0 |        0 |        0 |       1 |       0 |       0
+  6 |     0 |     1 |     0 |        0 |        0 |        0 |        0 |      
  0 |        0 |        0 |        0 |       0 |       1 |       0
+  7 |     1 |     0 |     0 |        0 |        0 |        0 |        0 |      
  0 |        0 |        0 |        1 |       0 |       0 |       0
+  8 |     1 |     0 |     0 |        0 |        0 |        0 |        0 |      
  0 |        1 |        0 |        0 |       0 |       0 |       0
+  9 |     0 |     0 |     1 |        0 |        0 |        0 |        0 |      
  0 |        0 |        0 |        0 |       0 |       0 |       1
+ 10 |     0 |     0 |     0 |        0 |        0 |        0 |        0 |      
  0 |        0 |        1 |        0 |       0 |       0 |       0
+ 11 |     1 |     0 |     0 |        0 |        0 |        0 |        1 |      
  0 |        0 |        0 |        0 |       0 |       0 |       0
+ 12 |     0 |     0 |     1 |        1 |        0 |        0 |        0 |      
  0 |        0 |        0 |        0 |       0 |       0 |       0
+ 13 |     0 |     0 |     1 |        0 |        1 |        0 |        0 |      
  0 |        0 |        0 |        0 |       0 |       0 |       0
+ 14 |     1 |     0 |     0 |        1 |        0 |        0 |        0 |      
  0 |        0 |        0 |        0 |       0 |       0 |       0
+ 15 |     1 |     0 |     0 |        1 |        0 |        0 |        0 |      
  0 |        0 |        0 |        0 |       0 |       0 |       0
+ 16 |     0 |     0 |     1 |        0 |        0 |        1 |        0 |      
  0 |        0 |        0 |        0 |       0 |       0 |       0
+ 17 |     0 |     1 |     0 |        0 |        0 |        0 |        0 |      
  0 |        0 |        0 |        0 |       1 |       0 |       0
+ 18 |     1 |     0 |     0 |        1 |        0 |        0 |        0 |      
  0 |        0 |        0 |        0 |       0 |       0 |       0
+ 19 |     0 |     0 |     1 |        0 |        0 |        0 |        0 |      
  0 |        0 |        0 |        0 |       1 |       0 |       0
+ 20 |     0 |     0 |     0 |        0 |        0 |        0 |        0 |      
  0 |        0 |        0 |        0 |       0 |       0 |       1
+(20 rows)
+</pre></li>
+<li>If you have a reason to encode FLOAT variables, you can cast them as TEXT 
in the following way within the function call: <pre class="example">
+DROP TABLE IF EXISTS abalone_out, abalone_out_dictionary;
+SELECT madlib.encode_categorical_variables (
+        'abalone',                   -- Source table
+        'abalone_out',               -- Output table
+        'height::TEXT'               -- Categorical columns
+        );
+SELECT * FROM abalone_out ORDER BY id;
+</pre> <pre class="result">
+id | sex | length | diameter | height | rings | height::TEXT_0.08 | 
height::TEXT_0.085 | height::TEXT_0.09 | height::TEXT_0.095 | height::TEXT_0.1 
| height::TEXT_0.11 | height::TEXT_0.125 | height::TEXT_0.13 | 
height::TEXT_0.135 | height::TEXT_0.14 | height::TEXT_0.145 | height::TEXT_0.15
+----+-----+--------+----------+--------+-------+-------------------+--------------------+-------------------+--------------------+------------------+-------------------+--------------------+-------------------+--------------------+-------------------+--------------------+-------------------
+  1 | M   |  0.455 |    0.365 |  0.095 |    15 |                 0 |           
       0 |                 0 |                  1 |                0 |          
       0 |                  0 |                 0 |                  0 |        
         0 |                  0 |                 0
+  2 | M   |   0.35 |    0.265 |   0.09 |     7 |                 0 |           
       0 |                 1 |                  0 |                0 |          
       0 |                  0 |                 0 |                  0 |        
         0 |                  0 |                 0
+  3 | F   |   0.53 |     0.42 |  0.135 |     9 |                 0 |           
       0 |                 0 |                  0 |                0 |          
       0 |                  0 |                 0 |                  1 |        
         0 |                  0 |                 0
+  4 | M   |   0.44 |    0.365 |  0.125 |    10 |                 0 |           
       0 |                 0 |                  0 |                0 |          
       0 |                  1 |                 0 |                  0 |        
         0 |                  0 |                 0
+  5 | I   |   0.33 |    0.255 |   0.08 |     7 |                 1 |           
       0 |                 0 |                  0 |                0 |          
       0 |                  0 |                 0 |                  0 |        
         0 |                  0 |                 0
+  6 | I   |  0.425 |      0.3 |  0.095 |     8 |                 0 |           
       0 |                 0 |                  1 |                0 |          
       0 |                  0 |                 0 |                  0 |        
         0 |                  0 |                 0
+  7 | F   |   0.53 |    0.415 |   0.15 |    20 |                 0 |           
       0 |                 0 |                  0 |                0 |          
       0 |                  0 |                 0 |                  0 |        
         0 |                  0 |                 1
+  8 | F   |  0.545 |    0.425 |  0.125 |    16 |                 0 |           
       0 |                 0 |                  0 |                0 |          
       0 |                  1 |                 0 |                  0 |        
         0 |                  0 |                 0
+  9 | M   |  0.475 |     0.37 |  0.125 |     9 |                 0 |           
       0 |                 0 |                  0 |                0 |          
       0 |                  1 |                 0 |                  0 |        
         0 |                  0 |                 0
+ 10 |     |   0.55 |     0.44 |   0.15 |    19 |                 0 |           
       0 |                 0 |                  0 |                0 |          
       0 |                  0 |                 0 |                  0 |        
         0 |                  0 |                 1
+ 11 | F   |  0.525 |     0.38 |   0.14 |    14 |                 0 |           
       0 |                 0 |                  0 |                0 |          
       0 |                  0 |                 0 |                  0 |        
         1 |                  0 |                 0
+ 12 | M   |   0.43 |     0.35 |   0.11 |    10 |                 0 |           
       0 |                 0 |                  0 |                0 |          
       1 |                  0 |                 0 |                  0 |        
         0 |                  0 |                 0
+ 13 | M   |   0.49 |     0.38 |  0.135 |    11 |                 0 |           
       0 |                 0 |                  0 |                0 |          
       0 |                  0 |                 0 |                  1 |        
         0 |                  0 |                 0
+ 14 | F   |  0.535 |    0.405 |  0.145 |    10 |                 0 |           
       0 |                 0 |                  0 |                0 |          
       0 |                  0 |                 0 |                  0 |        
         0 |                  1 |                 0
+ 15 | F   |   0.47 |    0.355 |    0.1 |    10 |                 0 |           
       0 |                 0 |                  0 |                1 |          
       0 |                  0 |                 0 |                  0 |        
         0 |                  0 |                 0
+ 16 | M   |    0.5 |      0.4 |   0.13 |    12 |                 0 |           
       0 |                 0 |                  0 |                0 |          
       0 |                  0 |                 1 |                  0 |        
         0 |                  0 |                 0
+ 17 | I   |  0.355 |     0.28 |  0.085 |     7 |                 0 |           
       1 |                 0 |                  0 |                0 |          
       0 |                  0 |                 0 |                  0 |        
         0 |                  0 |                 0
+ 18 | F   |   0.44 |     0.34 |    0.1 |    10 |                 0 |           
       0 |                 0 |                  0 |                1 |          
       0 |                  0 |                 0 |                  0 |        
         0 |                  0 |                 0
+ 19 | M   |  0.365 |    0.295 |   0.08 |     7 |                 1 |           
       0 |                 0 |                  0 |                0 |          
       0 |                  0 |                 0 |                  0 |        
         0 |                  0 |                 0
+ 20 |     |   0.45 |     0.32 |    0.1 |     9 |                 0 |           
       0 |                 0 |                  0 |                1 |          
       0 |                  0 |                 0 |                  0 |        
         0 |                  0 |                 0
+(20 rows)
+</pre></li>
+<li>You can also use a logical expression in the categorical columns, which 
will be passed as boolean, and in the output table there will be two columns 
with name logical_expression_true and logical_expression_false: <pre 
class="example">
+DROP TABLE IF EXISTS abalone_out, abalone_out_dictionary;
+SELECT madlib.encode_categorical_variables (
+        'abalone',                   -- Source table
+        'abalone_out',               -- Output table
+        'height&gt;.10'                 -- Categorical columns
+        );
+SELECT * FROM abalone_out ORDER BY id;
+</pre> <pre class="result">
+ id | sex | length | diameter | height | rings | height&gt;.10_false | 
height&gt;.10_true
+----+-----+--------+----------+--------+-------+------------------+-----------------
+  1 | M   |  0.455 |    0.365 |  0.095 |    15 |                1 |            
   0
+  2 | M   |   0.35 |    0.265 |   0.09 |     7 |                1 |            
   0
+  3 | F   |   0.53 |     0.42 |  0.135 |     9 |                0 |            
   1
+  4 | M   |   0.44 |    0.365 |  0.125 |    10 |                0 |            
   1
+  5 | I   |   0.33 |    0.255 |   0.08 |     7 |                1 |            
   0
+  6 | I   |  0.425 |      0.3 |  0.095 |     8 |                1 |            
   0
+  7 | F   |   0.53 |    0.415 |   0.15 |    20 |                0 |            
   1
+  8 | F   |  0.545 |    0.425 |  0.125 |    16 |                0 |            
   1
+  9 | M   |  0.475 |     0.37 |  0.125 |     9 |                0 |            
   1
+ 10 |     |   0.55 |     0.44 |   0.15 |    19 |                0 |            
   1
+ 11 | F   |  0.525 |     0.38 |   0.14 |    14 |                0 |            
   1
+ 12 | M   |   0.43 |     0.35 |   0.11 |    10 |                0 |            
   1
+ 13 | M   |   0.49 |     0.38 |  0.135 |    11 |                0 |            
   1
+ 14 | F   |  0.535 |    0.405 |  0.145 |    10 |                0 |            
   1
+ 15 | F   |   0.47 |    0.355 |    0.1 |    10 |                1 |            
   0
+ 16 | M   |    0.5 |      0.4 |   0.13 |    12 |                0 |            
   1
+ 17 | I   |  0.355 |     0.28 |  0.085 |     7 |                1 |            
   0
+ 18 | F   |   0.44 |     0.34 |    0.1 |    10 |                1 |            
   0
+ 19 | M   |  0.365 |    0.295 |   0.08 |     7 |                1 |            
   0
+ 20 |     |   0.45 |     0.32 |    0.1 |     9 |                1 |            
   0
+(20 rows)
+</pre></li>
+</ol>
+<p><a class="anchor" id="literature"></a></p><dl class="section 
user"><dt>Literature</dt><dd></dd></dl>
+<p><a class="anchor" id="svm-lit-1"></a>[1] <a 
href="https://en.wikipedia.org/wiki/Categorical_variable";>https://en.wikipedia.org/wiki/Categorical_variable</a></p>
+<p>[2] <a 
href="https://archive.ics.uci.edu/ml/datasets/Abalone";>https://archive.ics.uci.edu/ml/datasets/Abalone</a>
 </p>
+</div><!-- contents -->
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+    <a href="http://www.doxygen.org/index.html";>
+    <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.13 </li>
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+   <span id="projectnumber">1.14</span>
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+   <div id="projectbrief">User Documentation for Apache MADlib</div>
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+
+<div class="header">
+  <div class="headertitle">
+<div class="title">FM (Flajolet-Martin)<div class="ingroups"><a class="el" 
href="group__grp__stats.html">Statistics</a> &raquo; <a class="el" 
href="group__grp__desc__stats.html">Descriptive Statistics</a> &raquo; <a 
class="el" href="group__grp__sketches.html">Cardinality 
Estimators</a></div></div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="toc"><b>Contents</b> <ul>
+<li>
+<a href="#syntax">Syntax</a> </li>
+<li>
+<a href="#examples">Examples</a> </li>
+<li>
+<a href="#literature">Literature</a> </li>
+<li>
+<a href="#related">Related Topics</a> </li>
+</ul>
+</div><p><a class="el" 
href="sketch_8sql__in.html#ae27d5aaa5e4b426bcfe55e05a89c8e0b">fmsketch_dcount</a>
 can be run on a column of any type. It returns an approximation to the number 
of distinct values (a la <code>COUNT(DISTINCT x)</code>), but faster and 
approximate. Like any aggregate, it can be combined with a GROUP BY clause to 
do distinct counts per group.</p>
+<p><a class="anchor" id="syntax"></a></p><dl class="section 
user"><dt>Syntax</dt><dd></dd></dl>
+<p>Get the number of distinct values in a designated column. </p><pre 
class="syntax">
+fmsketch_dcount( col_name )
+</pre><dl class="section note"><dt>Note</dt><dd>This is a <a 
href="https://www.postgresql.org/docs/current/static/xaggr.html";>User Defined 
Aggregate</a> which returns the results when used in a query. Use "CREATE TABLE 
AS ", with the UDA as subquery if the results are to be stored. This is unlike 
the usual MADlib stored procedure interface which places the results in a table 
instead of returning it.</dd></dl>
+<p><a class="anchor" id="examples"></a></p><dl class="section 
user"><dt>Examples</dt><dd><ol type="1">
+<li>Generate some data. <pre class="example">
+CREATE TABLE data(class INT, a1 INT);
+INSERT INTO data SELECT 1,1 FROM generate_series(1,10000);
+INSERT INTO data SELECT 1,2 FROM generate_series(1,15000);
+INSERT INTO data SELECT 1,3 FROM generate_series(1,10000);
+INSERT INTO data SELECT 2,5 FROM generate_series(1,1000);
+INSERT INTO data SELECT 2,6 FROM generate_series(1,1000);
+</pre></li>
+<li>Find the distinct number of values for each class. <pre class="example">
+SELECT class, fmsketch_dcount(a1)
+FROM data
+GROUP BY data.class;
+</pre> Result: <pre class="result">
+class | fmsketch_dcount
+&#160;------+-----------------
+    2 |               2
+    1 |               3
+(2 rows)
+</pre></li>
+</ol>
+</dd></dl>
+<p><a class="anchor" id="literature"></a></p><dl class="section 
user"><dt>Literature</dt><dd>[1] P. Flajolet and N.G. Martin. Probabilistic 
counting algorithms for data base applications, Journal of Computer and System 
Sciences 31(2), pp 182-209, 1985. <a 
href="http://algo.inria.fr/flajolet/Publications/FlMa85.pdf";>http://algo.inria.fr/flajolet/Publications/FlMa85.pdf</a></dd></dl>
+<p><a class="anchor" id="related"></a></p><dl class="section user"><dt>Related 
Topics</dt><dd>File <a class="el" href="sketch_8sql__in.html" title="SQL 
functions for sketch-based approximations of descriptive statistics. 
">sketch.sql_in</a> documenting the SQL function. </dd></dl>
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