Partition function approach to non-Gaussian likelihoods: formalism and expansions for weakly non-Gaussian cosmological inference
Non-Gaussian likelihoods, ubiquitous throughout cosmology, are a direct consequence of non-linearities in the physical model. Their treatment requires Monte Carlo Markov chain (MCMC) or more advanced sampling methods for the determination of confidence contours. As an alternative, we construct canon...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article (Journal) |
| Language: | English |
| Published: |
2023 May 16
|
| In: |
Monthly notices of the Royal Astronomical Society
Year: 2023, Volume: 523, Issue: 2, Pages: 2027-2038 |
| ISSN: | 1365-2966 |
| DOI: | 10.1093/mnras/stad1471 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1093/mnras/stad1471
|
| Author Notes: | Lennart Röver, Lea Carlotta Bartels and Björn Malte Schäfer |
MARC
| LEADER | 00000caa a2200000 c 4500 | ||
|---|---|---|---|
| 001 | 1856312429 | ||
| 003 | DE-627 | ||
| 005 | 20240307061414.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 230816s2023 xx |||||o 00| ||eng c | ||
| 024 | 7 | |a 10.1093/mnras/stad1471 |2 doi | |
| 035 | |a (DE-627)1856312429 | ||
| 035 | |a (DE-599)KXP1856312429 | ||
| 035 | |a (OCoLC)1425212951 | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rda | ||
| 041 | |a eng | ||
| 084 | |a 29 |2 sdnb | ||
| 100 | 1 | |a Röver, Lennart |d 1995- |e VerfasserIn |0 (DE-588)1269960520 |0 (DE-627)1818517523 |4 aut | |
| 245 | 1 | 0 | |a Partition function approach to non-Gaussian likelihoods |b formalism and expansions for weakly non-Gaussian cosmological inference |c Lennart Röver, Lea Carlotta Bartels and Björn Malte Schäfer |
| 264 | 1 | |c 2023 May 16 | |
| 300 | |a 12 | ||
| 336 | |a Text |b txt |2 rdacontent | ||
| 337 | |a Computermedien |b c |2 rdamedia | ||
| 338 | |a Online-Ressource |b cr |2 rdacarrier | ||
| 500 | |a Gesehen am 16.08.2023 | ||
| 520 | |a Non-Gaussian likelihoods, ubiquitous throughout cosmology, are a direct consequence of non-linearities in the physical model. Their treatment requires Monte Carlo Markov chain (MCMC) or more advanced sampling methods for the determination of confidence contours. As an alternative, we construct canonical partition functions as Laplace transforms of the Bayesian evidence, from which MCMC methods would sample microstates. Cumulants of order n of the posterior distribution follow by direct n-fold differentiation of the logarithmic partition function, recovering the classic Fisher-matrix formalism at second order. We connect this approach for weakly non-Gaussianities to the DALI and Gram−Charlier expansions and demonstrate the validity with a supernova-likelihood on the cosmological parameters Ωm and w. We comment on extensions of the canonical partition function to include kinetic energies in order to bridge to Hamilton Monte Carlo sampling, and on ensemble Markov-chain methods, as they would result from transitioning to macrocanonical partition functions depending on a chemical potential. Lastly we demonstrate the relationship of the partition function approach to the Cramér−Rao boundary and to information entropies. | ||
| 700 | 1 | |a Bartels, Lea Carlotta |e VerfasserIn |0 (DE-588)1299383270 |0 (DE-627)1856313336 |4 aut | |
| 700 | 1 | |a Schäfer, Björn Malte |d 1975- |e VerfasserIn |0 (DE-588)130289795 |0 (DE-627)497365421 |0 (DE-576)298108380 |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |a Royal Astronomical Society |t Monthly notices of the Royal Astronomical Society |d Oxford : Oxford Univ. Press, 1827 |g 523(2023), 2 vom: Aug., Seite 2027-2038 |h Online-Ressource |w (DE-627)314059164 |w (DE-600)2016084-7 |w (DE-576)090955420 |x 1365-2966 |7 nnas |
| 773 | 1 | 8 | |g volume:523 |g year:2023 |g number:2 |g month:08 |g pages:2027-2038 |g extent:12 |a Partition function approach to non-Gaussian likelihoods formalism and expansions for weakly non-Gaussian cosmological inference |
| 856 | 4 | 0 | |u https://doi.org/10.1093/mnras/stad1471 |x Verlag |x Resolving-System |z lizenzpflichtig |3 Volltext |
| 951 | |a AR | ||
| 992 | |a 20230816 | ||
| 993 | |a Article | ||
| 994 | |a 2023 | ||
| 998 | |g 130289795 |a Schäfer, Björn Malte |m 130289795:Schäfer, Björn Malte |d 700000 |d 714000 |d 714100 |e 700000PS130289795 |e 714000PS130289795 |e 714100PS130289795 |k 0/700000/ |k 1/700000/714000/ |k 2/700000/714000/714100/ |p 3 |y j | ||
| 998 | |g 1269960520 |a Röver, Lennart |m 1269960520:Röver, Lennart |d 700000 |d 728500 |e 700000PR1269960520 |e 728500PR1269960520 |k 0/700000/ |k 1/700000/728500/ |p 1 |x j | ||
| 999 | |a KXP-PPN1856312429 |e 4366632322 | ||
| BIB | |a Y | ||
| SER | |a journal | ||
| JSO | |a {"title":[{"subtitle":"formalism and expansions for weakly non-Gaussian cosmological inference","title_sort":"Partition function approach to non-Gaussian likelihoods","title":"Partition function approach to non-Gaussian likelihoods"}],"person":[{"role":"aut","roleDisplay":"VerfasserIn","given":"Lennart","display":"Röver, Lennart","family":"Röver"},{"display":"Bartels, Lea Carlotta","given":"Lea Carlotta","roleDisplay":"VerfasserIn","role":"aut","family":"Bartels"},{"display":"Schäfer, Björn Malte","roleDisplay":"VerfasserIn","role":"aut","given":"Björn Malte","family":"Schäfer"}],"language":["eng"],"name":{"displayForm":["Lennart Röver, Lea Carlotta Bartels and Björn Malte Schäfer"]},"physDesc":[{"extent":"12 S."}],"id":{"eki":["1856312429"],"doi":["10.1093/mnras/stad1471"]},"origin":[{"dateIssuedKey":"2023","dateIssuedDisp":"2023 May 16"}],"relHost":[{"disp":"Royal Astronomical SocietyMonthly notices of the Royal Astronomical Society","language":["eng"],"origin":[{"publisherPlace":"Oxford ; Oxford [u.a.] ; Oxford [u.a.]","dateIssuedKey":"1827","publisher":"Oxford Univ. Press ; Blackwell ; Wiley-Blackwell","dateIssuedDisp":"1827-"}],"physDesc":[{"extent":"Online-Ressource"}],"title":[{"title_sort":"Monthly notices of the Royal Astronomical Society","title":"Monthly notices of the Royal Astronomical Society"}],"type":{"media":"Online-Ressource","bibl":"periodical"},"pubHistory":["1.1827 -"],"recId":"314059164","part":{"text":"523(2023), 2 vom: Aug., Seite 2027-2038","pages":"2027-2038","extent":"12","year":"2023","volume":"523","issue":"2"},"note":["Gesehen am 15.01.2018"],"corporate":[{"display":"Royal Astronomical Society","role":"aut","roleDisplay":"VerfasserIn"}],"id":{"doi":["10.1111/(ISSN)1365-2966"],"issn":["1365-2966"],"zdb":["2016084-7"],"eki":["314059164"]}}],"note":["Gesehen am 16.08.2023"],"recId":"1856312429","type":{"media":"Online-Ressource","bibl":"article-journal"}} | ||
| SRT | |a ROEVERLENNPARTITIONF2023 | ||