TY - CHAP

T1 - On the relation between the relative earth mover distance and the variation distance (an exposition)

AU - Goldreich, Oded

AU - Ron, Dana

N1 - Publisher Copyright:
© Springer Nature Switzerland AG 2020.

PY - 2020

Y1 - 2020

N2 - The “relative earth mover distance” is a technical term introduced by Valiant and Valiant (43rd STOC, 2011), and extensively used in their work. They claimed that, for every two distributions, the relative earth mover distance upper-bounds the variation distance up to relabeling, but this claim was not used in their work. The claim appears as a special case of a result proved by Valiant and Valiant in a later work (48th STOC, 2016), but we found their proof too terse. The proof presented here is merely an elaboration of (this special case of) their proof.

AB - The “relative earth mover distance” is a technical term introduced by Valiant and Valiant (43rd STOC, 2011), and extensively used in their work. They claimed that, for every two distributions, the relative earth mover distance upper-bounds the variation distance up to relabeling, but this claim was not used in their work. The claim appears as a special case of a result proved by Valiant and Valiant in a later work (48th STOC, 2016), but we found their proof too terse. The proof presented here is merely an elaboration of (this special case of) their proof.

UR - http://www.scopus.com/inward/record.url?scp=85085204014&partnerID=8YFLogxK

U2 - 10.1007/978-3-030-43662-9_9

DO - 10.1007/978-3-030-43662-9_9

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AN - SCOPUS:85085204014

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 141

EP - 151

BT - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

PB - Springer

ER -