Sum of Functions

The sum of functions F(θ) is a function that has the form of a sum:

For given set of the indices I = {i 1, i 2, ... , i m }, 1 ≤ i k < n, k ∈ {1, ..., m}, the value and the gradient of the sum of functions in the argument θ has the format:

The set of the indices I is called a batch of indices.

For more complete information about compiler optimizations, see our Optimization Notice.
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