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On Semantic Scholar, each author has a count of "Highly Influential Citations", see for example https://www.semanticscholar.org/author/Onur-Mutlu/1734461.

This information is also present in the API (field influentialCitationCount).

How are those "Highly Influential Citations" identified and counted?

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Semantic Scholar's algorithm for counting "Highly Influential Citations" is described in this paper:

Identifying Meaningful Citations (Marco Valenzuela, Vu Ha, Oren Etzion) https://www.semanticscholar.org/paper/Identifying-Meaningful-Citations-Valenzuela-Ha/1c7be3fc28296a97607d426f9168ad4836407e4b

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