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Stochastic Objective Functions

Authors: R. Russell Rhinehart;

Stochastic Objective Functions

Abstract

A deterministic function returns the exact same value each time it is given the same inputs. What is the value of 3 times 4 (in base 10 arithmetic)? Whether last year or next year, whether in Barbados or on the Moon, whether by human or by computer, the answer is 12. By contrast a stochastic function does not return the same value when given supposedly identical conditions. If I roll this cubical die, what value will appear? Even if I do it, in one setting in the same location, trying my best to be repeatable, the answer is a 1 or a 2 or a … or a 6. This stochastic function returns one of 6 values with an equal probability. It does not consistently return the same value.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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