Set-class Invariance

Set-Class Invariance is a theoretical construct in music theory and mathematical analysis that identifies the property whereby a set class retains its essential structural identity under specific transformational operations such as transposition, inversion, or permutation within pitch-class space.

Publications

143

Citations

Authors

Institutions

Publications per year

2017–2026

Parents

Set-class Analysis

Publications

Probabilistic set invariance and ultimate boundedness

Ernesto Kofman, José A. De Doná, María M. Serón · Automatica · 2012 · 57 citations

Natural Sciences, Mathematics, Probability Theory +13

A Similarity Index for Pitch-Class Sets

Robert Morris · Perspectives of New Music · 1979 · 49 citations

Humanities, Musicology, Music Analysis +12

Set invariance and performance analysis of linear systems via truncated ellipsoids

Thomas Thibodeau, Wenchan Tong, Tingshu Hu · Automatica · 2009 · 22 citations

Engineering, Mathematics, Systems Engineering +9

SenSeI: Sensitive Set Invariance for Enforcing Individual Fairness

Mikhail Yurochkin, Yuekai Sun · arXiv (Cornell University) · 2020 · 15 citations · Full text

Computing, Computer Science, Data Mining +14

1–4 of 4

Authors

EK
Ernesto Kofman
Centro Internacional Franco-Argentino de Ciencias de la Información y de Sistemas, Argentina
1 publications · 57 citations
1
h-index
JA
José A. De Doná
University of Newcastle Australia, Australia
1 publications · 57 citations
1
h-index
RM
Robert Morris
Instituto Nacional de Matemática Pura e Aplicada, Brazil
1 publications · 49 citations
1
h-index
MY
Mikhail Yurochkin
University of Michigan, United States
1 publications · 15 citations
1
h-index
TH
Tingshu Hu
University of Virginia, United States
1 publications · 22 citations
1
h-index

1–5 of 9

Institutions

1–5 of 5

Venues

Automatica
2 publications · 79 citations
2
h-index
arXiv (Cornell University)
Repository · 1 publications · 15 citations
1
h-index
Perspectives of New Music
1 publications · 49 citations
1
h-index

1–3