Sum of Functions¶
The sum of functions \(F(\theta)\) is a function that has the form of a sum:
For given set of the indices \(I = \{i_1, i_2, \ldots , i_m\}\), \(1 \leq ik < n\), \(k \in \{1, \ldots, m\}\), the value and the gradient of the sum of functions in the argument \(\theta\) has the format:
The set of the indices \(I\) is called a batch of indices.
Computation¶
Algorithm Input¶
The sum of functions 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 |
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A numeric table of size \(p \times 1\) with the input argument of the objective function. |
Algorithm Parameters¶
The sum of functions algorithm has the following parameters:
Parameter |
Default Value |
Description |
|---|---|---|
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The 64-bit integer flag that specifies which characteristics of the objective function to compute. Provide one of the following values to request a single characteristic or use bitwise OR to request a combination of the characteristics:
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