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The first call of process p i is with parameters (v i,n).
Hence, with diagonal loading α I (I is with conformable size and α is very small), the modified Hessian matrix guarantees (27) to be positive definite and provides the desired properties in contrast to use the exact Hessian matrix.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com