The aggregation operator is an alternative implementation of Aggregate (and Group) operator. In particular for sliding time windows with advance of 1 this operator is faster than the implementation with partial aggregates.

Differences in the use of this operator compared to Aggregate (and Group) operator:

  • This operator has a more flexible PQL interface that allows to specify key value parameters.
  • This operator does not set end timestamps of the resulting data stream elements. If you need the validity of the aggregation value you need to append an element window of size 1.
  • This operator outputs "empty aggregations" if no tuple is valid at a specific point in time. E.g., the sum aggregation function would output 0. This is necessary to determine the end timestamp with a subsequent element window.

These aggregation functions are still in development. Especially the keys for the parameters are preliminary and subject to change.

Parameter

  • group_by: An optional list of attributes over which the grouping should occur.
  • aggregations: A list of aggregate functions (see below).
  • SUPPRESS_FULL_META_DATA_HANDLING: Boolean flag set to true if the handling of meta data other than Time Interval (e.g. Latency) should be supressed.

 

The following optional boolean parameters control when a new aggregation value is transferred (see below for useful examples):

  • eval_at_new_element: Outputs an updated aggregation value when a new element gets valid. In the case that more than one element gets valid at the same time (same start timestamp), this operator outputs for each element an output value in the order of arrival. The default value is true.
  • eval_at_outdating: Outputs an updated aggregation value when one ore more elements gets invalid with the value after the removal of the invalid elements. The default value is true.
  • eval_before_remove_outdating: Outputs an updated aggregation value before removing the invalid elements instead of after removal. The default value is false.
  • eval_at_done: Outputs the value at the time the operator gets the done signal. The default value is false.
  • output_only_changes: Suppresses elements that are equal to the previous outputted element. The default value is false. If you want to use this, make sure the equals-method for every attribute type is implemented.

Aggregation Functions

Function NameDescriptionParametersExamples
CountOutputs the number of steam elements.
NameDescriptionDefault ValueOptional?

OUTPUT_ATTRIBUTES

The name for the output attribute.countTrue
['FUNCTION' = 'Count']


['FUNCTION' = 'Count', 'OUTPUT_ATTRIBUTES' = 'number_of_elements']
DistinctCountOutput the numbers of different stream elements

SumOutputs the sum of elements. 
NameDescriptionDefault ValueOptional?
INPUT_ATTRIBUTESThe single string or a list of the name(s) of the attribute(s) in the input tuples. By default, all input attributes are used. This could raise an error if attributes are not numeric.(all attributes)True
OUTPUT_ATTRIBUTESA single string or list of output attributes. By default, the string "Sum_" concatenated with the original input attribute name is used."Sum_" + intput attribute nameTrue
['FUNCTION' = 'Sum']

['FUNCTION' = 'Sum', 'INPUT_ATTRIBUTES' = 'value1']

['FUNCTION' = 'Sum', 'INPUT_ATTRIBUTES' = ['value1', 'value2']]
AvgAverage value (mean)TODO (similar to Sum)
MinMin valueTODO (similar to Sum)
MaxMax valueTODO (similar to Sum)
FirstThe first element of a window. See example below.
NameDescriptionDefault ValueOptional?

OUTPUT_ATTRIBUTES

The name for the output attribute.firstTrue
You should use the following settings:

output_only_changes = true

This results in getting the first element in each window. Especially useful with a tumbling window.

LastThe last element of a window. See example below.
NameDescriptionDefault ValueOptional?

OUTPUT_ATTRIBUTES

The name for the output attribute.lastTrue
You should use the following settings:

EVAL_AT_NEW_ELEMENT = false
EVAL_BEFORE_REMOVE_OUTDATING = true

This results in getting the last element in each window. Especially useful with a tumbling window.

TriggerThe tuple that triggers the output.TODO
VarianceCalculates the varianceTODO (similar to Sum)
StdDevStandard deviation

TopKCalculates the top-K listTODO
NestNests the valid elements as list. If given more than one attribute, this will contain the tuple projected on the attributesINPUT_ATTRIBUTES, required

['FUNCTION' = 'Nest','INPUT_ATTRIBUTES' = 'id']

['FUNCTION' = 'Nest','INPUT_ATTRIBUTES' = ['id','name']]

DistincNestSame as nest, but removes duplicates


A number of Univariate Statistics:

GeometricMean

Kurtosis

Skewness

IQR (InterQuantileRange)

MCQ (MeanCrossingRate)

RMS (RootMeanSquare)

FrEnergy (SpectralEnergy)

FrDmEntropy 

FrPeakFreq

FrMag5

MSE (Mean Square Error)

RMSE (Root Mean Square Error)


See e.g. https://commons.apache.org/proper/commons-math/javadocs/api-3.6.1/org/apache/commons/math3/stat/descriptive/UnivariateStatistic.html

[

'FUNCTION' = 'RMSE',

'INPUT_ATTRIBUTES' = 'error'

 ]

[

'FUNCTION' = 'MSE',

'INPUT_ATTRIBUTES' = 'error'

]



Examples

counted = AGGREGATION({AGGREGATIONS = [['FUNCTION' = 'Count']], GROUP_BY = ['publisher', 'item']}, windowed)

You can use more than one aggregation function:

counted = AGGREGATION({AGGREGATIONS = [['FUNCTION' = 'Count'], ['FUNCTION' = 'Sum', 'INPUT_ATTRIBUTES' = 'value1']], GROUP_BY = ['publisher', 'item']}, windowed)
/// count the number of items for each publisher
counted = AGGREGATION({AGGREGATIONS = [['FUNCTION' = 'Count']], GROUP_BY = ['publisher', 'item']}, windowed)
/// aggregate the 100 most frequent items for each publisher to an ordered list
TopKItemsByPublisher ::= AGGREGATION({AGGREGATIONS = [
	[
		'FUNCTION' = 'TopK',
		'TOP_K' = '100',                        /// number of items
		'SCORING_ATTRIBUTES' = 'Count',         /// the attribute name that defines the order
		'INPUT_ATTRIBUTES' = 'item',            /// do not use the whole input tuple, just use the 'item' attribute for creating the output top-k set
		'MIN_SCORE' = '0',                      /// remove items that reaches a score of 0 (due to the previous aggregation these are all items that has no valid tuple)
		'UNIQUE_ATTR'='item',                   /// use 'item' as a unique attribute. that means, a new tuple with an known items id replaces the previous value. (this is some kind of element window in this operator)
		'descending' = true,					/// default is true. If you want to have the smallest elements, use 'false', if you want to have the biggest elements, use 'true'
		'ALWAYS_OUTPUT' = true					/// If set to false (default), 'null' is put out instead of the result if the result is equal to the previous result.
  ]], GROUP_BY = ['publisher']}, counted)

First

Here, we use a tumbling window with the "First" aggregate function to only get the first element per 5-minute window.

/// Tumnbling window
tumbling = TIMEWINDOW({
                size = [5, 'MINUTES'],
                advance = [5, 'MINUTES']                                                                                                
              },
              selectCenter
            )
            
/// Select first of tumbling
reduce = AGGREGATION({
              aggregations = [['FUNCTION' = 'First']],
              output_only_changes = true,
              group_by = ['movingObjectId']               
            },
            tumbling
          )            
          
/// Remove the grouping id (because it will be in the unnested tuple)
withoutId = PROJECT({
                attributes = ['first']              
              },
              reduce
            )

/// Unnest the tuple
output = UNNEST({
              attribute='first'                                        
            },
            withoutId
          )  

Last

Here, we use a tumbling window and the "Last" aggregate function to only get the last element per 5-minute window.

/// Tumnbling window
tumbling = TIMEWINDOW({
                size = [5, 'MINUTES'],
                advance = [5, 'MINUTES']                                                                                                
              },
              selectCenter
            )
            
/// Select last of tumbling
reduce = AGGREGATION({
              aggregations = [['FUNCTION' = 'Last']],
              group_by = ['movingObjectId']               
            },
            tumbling
          )            
          
/// Remove the grouping id (because it will be in the unnested tuple)
withoutId = PROJECT({
                attributes = ['last']              
              },
              reduce
            )

/// Unnest the tuple
output = UNNEST({
              attribute='last'                                        
            },
            withoutId
          )  

Changing the way this operator outputs values

By using the default values, this operator act as Aggregate (and Group) operator (with the limitations explained above). Useful alternative settings are:

  • Set eval_at_new_element to false and eval_before_remove_outdating to true and add a preceding window with advance.

Remark: In this case, the starttimestamp of the output gets the timestamp of the value, that triggers the output (i.e. the element that states, that the current elements are outdated).

The following example calculates the number of elements in the stream impressions in one minute. It outputs the total number at the end of each minute instead of each update when a new item arrives.

windowed = TIMEWINDOW({size = [1, 'Minutes'], ADVANCE = [1, 'MINUTES']}, impressions)
impressions_per_minute = AGGREGATION({AGGREGATIONS = [['FUNCTION' = 'Count']], EVAL_AT_NEW_ELEMENT = false, EVAL_BEFORE_REMOVE_OUTDATING = true}, windowed)

Further information

How to create aggregation functions (in german)


  • No labels