Online Processing

Online processing computation mode assumes that data arrives in blocks i = 1, 2, 3, … nblocks.

Computation of low order moments in the online processing mode follows the general computation schema for online processing described in Algorithms.

Algorithm Input

The low order moments algorithm accepts the input described below. Pass the Input ID as a parameter to the methods that provide input for your algorithm. For more details, see Algorithms.

Input ID	Input
data	Pointer to the numeric table of size `n`_i x `p` that represents the current data block. While the input for defaultDense, singlePassDense, or sumDense method can be an object of any class derived from NumericTable, the input for fastCSR, singlePassCSR, or sumCSR method can only be an object of the CSRNumericTable class.

Algorithm Parameters

The low order moments algorithm has the following parameters:

Parameter	Default Value	Description
algorithmFPType	double	The floating-point type that the algorithm uses for intermediate computations. Can be float or double.
method	defaultDense	Available methods for computation of low order moments: defaultDense - default performance-oriented method singlePassDense - implementation of the single-pass algorithm proposed by D.H.D. West sumDense - implementation of the algorithm in the cases where the basic statistics associated with the numeric table are pre-computed sums; returns an error if pre-computed sums are not defined fastCSR - performance-oriented method for CSR numeric tables singlePassCSR - implementation of the single-pass algorithm proposed by D.H.D. West; optimized for CSR numeric tables sumCSR - implementation of the algorithm in the cases where the basic statistics associated with the numeric table are pre-computed sums; optimized for CSR numeric tables; returns an error if pre-computed sums are not defined
initializationProcedure	Not applicable	The procedure for setting initial parameters of the algorithm in the online processing mode. By default, the algorithm does the following initialization: Sets nObservations, partialSum, and partialSumSquares to zero Sets partialMinimum and partialMaximum to the first row of the input table.

Parameter

Default Value

Description

algorithmFPType

double

The floating-point type that the algorithm uses for intermediate computations. Can be float or double.

method

defaultDense

Available methods for computation of low order moments:

defaultDense - default performance-oriented method
singlePassDense - implementation of the single-pass algorithm proposed by D.H.D. West
sumDense - implementation of the algorithm in the cases where the basic statistics associated with the numeric table are pre-computed sums; returns an error if pre-computed sums are not defined
fastCSR - performance-oriented method for CSR numeric tables
singlePassCSR - implementation of the single-pass algorithm proposed by D.H.D. West; optimized for CSR numeric tables
sumCSR - implementation of the algorithm in the cases where the basic statistics associated with the numeric table are pre-computed sums; optimized for CSR numeric tables; returns an error if pre-computed sums are not defined

initializationProcedure

Not applicable

The procedure for setting initial parameters of the algorithm in the online processing mode. By default, the algorithm does the following initialization:

Sets nObservations, partialSum, and partialSumSquares to zero
Sets partialMinimum and partialMaximum to the first row of the input table.

Partial Results

The low order moments algorithm in the online processing mode calculates partial results described below. Pass the Result ID as a parameter to the methods that access the results of your algorithm. For more details, see Algorithms.

Result ID	Result
nObservations	Pointer 1 x 1 numeric table that contains the number of rows processed so far. By default, this result is an object of the HomogenNumericTable class, but you can define the result as an object of any class derived from NumericTable except CSRNumericTable.
Partial characteristics computed so far, each in a 1 x `p` numeric table. By default, each table is an object of the HomogenNumericTable class, but you can define the tables as objects of any class derived from NumericTable except PackedSymmetricMatrix, PackedTriangularMatrix, and CSRNumericTable.
partialMinimum	Partial minimums.
partialMaximum	Partial maximums.
partialSum	Partial sums.
partialSumSquares	Partial sums of squares.
partialSumSquaresCentered	Partial sums of squared differences from the means.

Algorithm Output

The low order moments algorithm calculates the results described in the following table. Pass the Result ID as a parameter to the methods that access the results of your algorithm. For more details, see Algorithms.

Each result is a pointer to the 1 x p numeric table that contains characteristics for each feature in the data set. By default, the tables are objects of the HomogenNumericTable class, but you can define each table as an object of any class derived from NumericTable except PackedSymmetricMatrix, PackedTriangularMatrix, and CSRNumericTable.

Result ID	Characteristic
minimum	Minimums.
maximum	Maximums.
sum	Sums.
sumSquares	Sums of squares.
sumSquaresCentered	Sums of squared differences from the means.
mean	Estimates for the means.
secondOrderRawMoment	Estimates for the second order raw moments.
variance	Estimates for the variances.
standartDeviation	Estimates for the standard deviations.
variation	Estimates for the variations.

Optimization Notice
Intel's compilers may or may not optimize to the same degree for non-Intel microprocessors for optimizations that are not unique to Intel microprocessors. These optimizations include SSE2, SSE3, and SSSE3 instruction sets and other optimizations. Intel does not guarantee the availability, functionality, or effectiveness of any optimization on microprocessors not manufactured by Intel. Microprocessor-dependent optimizations in this product are intended for use with Intel microprocessors. Certain optimizations not specific to Intel microarchitecture are reserved for Intel microprocessors. Please refer to the applicable product User and Reference Guides for more information regarding the specific instruction sets covered by this notice. Notice revision #20110804

Optimization Notice

Intel's compilers may or may not optimize to the same degree for non-Intel microprocessors for optimizations that are not unique to Intel microprocessors. These optimizations include SSE2, SSE3, and SSSE3 instruction sets and other optimizations. Intel does not guarantee the availability, functionality, or effectiveness of any optimization on microprocessors not manufactured by Intel. Microprocessor-dependent optimizations in this product are intended for use with Intel microprocessors. Certain optimizations not specific to Intel microarchitecture are reserved for Intel microprocessors. Please refer to the applicable product User and Reference Guides for more information regarding the specific instruction sets covered by this notice.

Notice revision #20110804

Examples

C++: