Reply to C. Tsallis' "conceptual inadequacy of the Shore and Johnson axioms for wide classes of complex systems"

Steve Presse; Kingshuk Ghosh; Julian Lee; Ken A. Dill

doi:10.3390/e17075043

Reply to C. Tsallis' "conceptual inadequacy of the Shore and Johnson axioms for wide classes of complex systems"

Steve Presse, Kingshuk Ghosh, Julian Lee, Ken A. Dill

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

In a recent PRL (2013, 111, 180604), we invoked the Shore and Johnson axioms which demonstrate that the least-biased way to infer probability distributions {p_i} from data is to maximize the Boltzmann-Gibbs entropy. We then showed which biases are introduced in models obtained by maximizing nonadditive entropies. A rebuttal of our work appears in entropy (2015, 17, 2853) and argues that the Shore and Johnson axioms are inapplicable to a wide class of complex systems. Here we highlight the errors in this reasoning.

Original language	English (US)
Pages (from-to)	5043-5046
Number of pages	4
Journal	Entropy
Volume	17
Issue number	7
DOIs	https://doi.org/10.3390/e17075043
State	Published - 2015
Externally published	Yes

Keywords

Nonadditive entropies
Nonextensive statistical mechanics
Shore and Johnson axioms
Strongly correlated random variables

ASJC Scopus subject areas

General Physics and Astronomy

Access to Document

10.3390/e17075043

Cite this

@article{7a37f04cf48f429ea903af4a1eff65d5,

title = "Reply to C. Tsallis' {"}conceptual inadequacy of the Shore and Johnson axioms for wide classes of complex systems{"}",

abstract = "In a recent PRL (2013, 111, 180604), we invoked the Shore and Johnson axioms which demonstrate that the least-biased way to infer probability distributions {pi} from data is to maximize the Boltzmann-Gibbs entropy. We then showed which biases are introduced in models obtained by maximizing nonadditive entropies. A rebuttal of our work appears in entropy (2015, 17, 2853) and argues that the Shore and Johnson axioms are inapplicable to a wide class of complex systems. Here we highlight the errors in this reasoning.",

keywords = "Nonadditive entropies, Nonextensive statistical mechanics, Shore and Johnson axioms, Strongly correlated random variables",

author = "Steve Presse and Kingshuk Ghosh and Julian Lee and Dill, {Ken A.}",

note = "Publisher Copyright: {\textcopyright} 2015 by the authors; licensee MDPI, Basel, Switzerland.",

year = "2015",

doi = "10.3390/e17075043",

language = "English (US)",

volume = "17",

pages = "5043--5046",

journal = "Entropy",

issn = "1099-4300",

publisher = "Multidisciplinary Digital Publishing Institute (MDPI)",

number = "7",

}

TY - JOUR

T1 - Reply to C. Tsallis' "conceptual inadequacy of the Shore and Johnson axioms for wide classes of complex systems"

AU - Presse, Steve

AU - Ghosh, Kingshuk

AU - Lee, Julian

AU - Dill, Ken A.

PY - 2015

Y1 - 2015

N2 - In a recent PRL (2013, 111, 180604), we invoked the Shore and Johnson axioms which demonstrate that the least-biased way to infer probability distributions {pi} from data is to maximize the Boltzmann-Gibbs entropy. We then showed which biases are introduced in models obtained by maximizing nonadditive entropies. A rebuttal of our work appears in entropy (2015, 17, 2853) and argues that the Shore and Johnson axioms are inapplicable to a wide class of complex systems. Here we highlight the errors in this reasoning.

AB - In a recent PRL (2013, 111, 180604), we invoked the Shore and Johnson axioms which demonstrate that the least-biased way to infer probability distributions {pi} from data is to maximize the Boltzmann-Gibbs entropy. We then showed which biases are introduced in models obtained by maximizing nonadditive entropies. A rebuttal of our work appears in entropy (2015, 17, 2853) and argues that the Shore and Johnson axioms are inapplicable to a wide class of complex systems. Here we highlight the errors in this reasoning.

KW - Nonadditive entropies

KW - Nonextensive statistical mechanics

KW - Shore and Johnson axioms

KW - Strongly correlated random variables

UR - http://www.scopus.com/inward/record.url?scp=84940521270&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84940521270&partnerID=8YFLogxK

U2 - 10.3390/e17075043

DO - 10.3390/e17075043

M3 - Article

AN - SCOPUS:84940521270

SN - 1099-4300

VL - 17

SP - 5043

EP - 5046

JO - Entropy

JF - Entropy

IS - 7

ER -

Reply to C. Tsallis' "conceptual inadequacy of the Shore and Johnson axioms for wide classes of complex systems"

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this