TY - GEN
T1 - Corrigendum to “Exact solutions in log-concave maximum likelihood estimation” [Adv. Appl. Math. 143 (2023) 102448] (Advances in Applied Mathematics (2023) 143, (S0196885822001324), (10.1016/j.aam.2022.102448))
AU - Grosdos, Alexandros
AU - Heaton, Alexander
AU - Kubjas, Kaie
AU - Kuznetsova, Olga
AU - Scholten, Georgy
AU - Sorea, Miruna Ştefana
N1 - Publisher Copyright: © 2024 The Author(s)
PY - 2025/1
Y1 - 2025/1
N2 - The authors regret a mistake in Theorem 3.7. The first part of Theorem 3.7 was stated for all weights in [Formula presented], but the given proof works only for an open ball of weights. Below is the corrected version of the theorem. Theorem 3.7 Let [Formula presented]. If [Formula presented], then there exists an open ball of weights [Formula presented] such that for every [Formula presented], at least one coordinate of the optimal height vector [Formula presented] is transcendental. If [Formula presented], then all coordinates of [Formula presented] are algebraic if and only if w is in the cone over the secondary polytope [Formula presented].
AB - The authors regret a mistake in Theorem 3.7. The first part of Theorem 3.7 was stated for all weights in [Formula presented], but the given proof works only for an open ball of weights. Below is the corrected version of the theorem. Theorem 3.7 Let [Formula presented]. If [Formula presented], then there exists an open ball of weights [Formula presented] such that for every [Formula presented], at least one coordinate of the optimal height vector [Formula presented] is transcendental. If [Formula presented], then all coordinates of [Formula presented] are algebraic if and only if w is in the cone over the secondary polytope [Formula presented].
UR - http://www.scopus.com/inward/record.url?scp=85203404418&partnerID=8YFLogxK
U2 - 10.1016/j.aam.2024.102777
DO - 10.1016/j.aam.2024.102777
M3 - Other contribution
AN - SCOPUS:85203404418
T3 - Advances in Applied Mathematics
PB - Elsevier
ER -