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references.bib
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references.bib
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\usepackage[utf8]{inputenc}
@article{brewer2013probabilistic,
title={Probabilistic catalogs for crowded stellar fields},
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journal={The Astronomical Journal},
volume={146},
number={1},
pages={7},
year={2013},
publisher={IOP Publishing}
}
@article{knuth2019lattices,
title={Lattices and their consistent quantification},
author={Knuth, Kevin H},
journal={Annalen der Physik},
volume={531},
number={3},
pages={1700370},
year={2019},
publisher={Wiley Online Library}
}
@book{brockwell2009time,
title={Time series: theory and methods},
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year={2009},
publisher={Springer Science \& Business Media}
}
@inproceedings{li2020lbry,
title={LBRY: A Blockchain-Based Decentralized Digital Content Marketplace},
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booktitle={2020 IEEE International Conference on Decentralized Applications and Infrastructures (DAPPS)},
pages={42--51},
year={2020},
organization={IEEE}
}
@article{huijser,
title={Properties of the Affine Invariant Ensemble Sampler in high dimensions},
author={Huijser, David and Goodman, Jesse and Brewer, Brendon J},
journal={arXiv preprint arXiv:1509.02230},
year={2015}
}
@book{mackay2003information,
title={Information theory, inference and learning algorithms},
author={MacKay, David JC},
year={2003},
publisher={Cambridge university press}
}
@inproceedings{bretthorst2001nonuniform,
title={Nonuniform sampling: Bandwidth and aliasing},
author={Bretthorst, G Larry},
booktitle={AIP conference proceedings},
volume={567},
number={1},
pages={1--28},
year={2001},
organization={AIP}
}
@article{emcee,
title={emcee: The MCMC hammer},
author={Foreman-Mackey, Daniel and Hogg, David W and Lang, Dustin and Goodman, Jonathan},
journal={\pasp},
volume={125},
number={925},
pages={306},
year={2013},
publisher={IOP Publishing}
}
@article{gull1978image,
title={Image reconstruction from incomplete and noisy data},
author={Gull, Stephen F and Daniell, Geoff J},
journal={Nature},
volume={272},
number={5655},
pages={686},
year={1978},
publisher={Nature Publishing Group}
}
@article{knuth2015bayesian,
title={Bayesian evidence and model selection},
author={Knuth, Kevin H and Habeck, Michael and Malakar, Nabin K and Mubeen, Asim M and Placek, Ben},
journal={Digital Signal Processing},
volume={47},
pages={50--67},
year={2015},
publisher={Elsevier}
}
@article{aies,
title={Properties of the Affine Invariant Ensemble Sampler in high dimensions},
author={Huijser, David and Goodman, Jesse and Brewer, Brendon J},
journal={arXiv preprint arXiv:1509.02230},
year={2015}
}
@ARTICLE{faria,
author = {{Faria}, J.~P. and {Haywood}, R.~D. and {Brewer}, B.~J. and
{Figueira}, P. and {Oshagh}, M. and {Santerne}, A. and {Santos}, N.~C.
},
title = "{Uncovering the planets and stellar activity of CoRoT-7 using only radial velocities}",
journal = {\ana},
archivePrefix = "arXiv",
eprint = {1601.07495},
primaryClass = "astro-ph.EP",
keywords = {methods: data analysis, planetary systems, stars: individual: CoRoT-7, techniques: radial velocities},
year = 2016,
month = apr,
volume = 588,
eid = {A31},
pages = {A31},
doi = {10.1051/0004-6361/201527899},
adsurl = {http://adsabs.harvard.edu/abs/2016A%26A...588A..31F},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
@article{Henderson_2019, title={TI-Stan: Model Comparison Using Thermodynamic Integration and HMC}, volume={21}, ISSN={1099-4300}, url={http://dx.doi.org/10.3390/e21121161}, DOI={10.3390/e21121161}, number={12}, journal={Entropy}, publisher={MDPI AG}, author={Henderson, R. Wesley and Goggans, Paul M.}, year={2019}, month={Nov}, pages={1161}}
@article{jaynes1957information,
title={Information theory and statistical mechanics},
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number={4},
pages={620},
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}
@book{dawkins2000unweaving,
title={Unweaving the rainbow: Science, delusion and the appetite for wonder},
author={Dawkins, Richard},
year={2000},
publisher={Houghton Mifflin Harcourt}
}
@article{knuth_questions,
title={Toward question-asking machines: the logic of questions and the inquiry calculus},
author={Knuth, Kevin H},
year={2005}
}
@ARTICLE{magnetron,
author = {{Huppenkothen}, D. and {Brewer}, B.~J. and {Hogg}, D.~W. and
{Murray}, I. and {Frean}, M. and {Elenbaas}, C. and {Watts}, A.~L. and
{Levin}, Y. and {van der Horst}, A.~J. and {Kouveliotou}, C.
},
title = "{Dissecting Magnetar Variability with Bayesian Hierarchical Models}",
journal = {\apj},
archivePrefix = "arXiv",
eprint = {1501.05251},
primaryClass = "astro-ph.HE",
keywords = {methods: data analysis, methods: statistical, pulsars: individual: SGR J1550{\ndash}5418, stars: magnetars, stars: magnetic field, X-rays: bursts},
year = 2015,
month = sep,
volume = 810,
eid = {66},
pages = {66},
doi = {10.1088/0004-637X/810/1/66},
adsurl = {http://adsabs.harvard.edu/abs/2015ApJ...810...66H},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
@ARTICLE{rjobject,
author = {{Brewer}, B.~J.},
title = "{Inference for Trans-dimensional Bayesian Models with Diffusive Nested Sampling}",
journal = {ArXiv e-prints},
archivePrefix = "arXiv",
eprint = {1411.3921},
primaryClass = "stat.CO",
keywords = {Statistics - Computation, Astrophysics - Instrumentation and Methods for Astrophysics, Physics - Data Analysis, Statistics and Probability},
year = 2014,
month = nov,
adsurl = {http://adsabs.harvard.edu/abs/2014arXiv1411.3921B},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
@book{cover2012elements,
title={Elements of information theory},
author={Cover, Thomas M and Thomas, Joy A},
year={2012},
publisher={John Wiley \& Sons}
}
@incollection{doucet2001introduction,
title={An introduction to sequential Monte Carlo methods},
author={Doucet, Arnaud and De Freitas, Nando and Gordon, Neil},
booktitle={Sequential Monte Carlo methods in practice},
pages={3--14},
year={2001},
publisher={Springer}
}
@incollection{knuth2016deeper,
title={The Deeper Roles of Mathematics in Physical Laws},
author={Knuth, Kevin H},
booktitle={Trick or Truth?},
pages={77--90},
year={2016},
publisher={Springer}
}
@MISC{eigenweb,
author = {Ga\"{e}l Guennebaud and Beno\^{i}t Jacob and others},
title = {Eigen v3},
howpublished = {http://eigen.tuxfamily.org},
year = {2010}
}
@article{taleb2007black,
title={The Black Swan: The Impact of the Highly Improbable},
author={Taleb, Nassim Nicholas},
journal={ISBN: 978-1400063512},
year={2007},
publisher={Random House}
}
@phdthesis{murray2007advances,
title={Advances in Markov chain Monte Carlo methods},
author={Murray, Iain},
year={2007},
school={Citeseer}
}
@ARTICLE{lensing2,
author = {{Brewer}, B.~J. and {Huijser}, D. and {Lewis}, G.~F.},
title = "{Trans-dimensional Bayesian inference for gravitational lens substructures}",
journal = {MNRAS},
archivePrefix = "arXiv",
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primaryClass = "astro-ph.IM",
keywords = {gravitational lensing: strong, methods: data analysis, methods: statistical},
year = 2016,
month = jan,
volume = 455,
pages = {1819-1829},
adsurl = {http://adsabs.harvard.edu/abs/2016MNRAS.455.1819B},
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}
@article{stan,
title={Stan: A probabilistic programming language},
author={Carpenter, Bob and Gelman, Andrew and Hoffman, Matt and Lee, Daniel and Goodrich, Ben and Betancourt, Michael and Brubaker, Michael A and Guo, Jiqiang and Li, Peter and Riddell, Allen},
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}
@inproceedings{jags,
title={JAGS: A program for analysis of Bayesian graphical models using Gibbs sampling},
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volume={124},
pages={125},
year={2003},
organization={Vienna}
}
@inproceedings{julia,
author = "Jeff Bezanzon and Stefan Karpinski and Viral Shah and Alan Edelman",
booktitle = "Lang.{NEXT}",
year = "2012",
month = apr,
title = "Julia: A Fast Dynamic Language for Technical Computing",
url = "http://julialang.org/images/lang.next.pdf"
}
@book{c++11,
title={The C++ programming language, fourth edition},
author={Stroustrup, Bjarne},
year={2013},
publisher={Pearson Education}
}
@book{gcc,
title={Using the GNU Compiler Collection},
author={GCC},
year={2016},
publisher={Free Software Foundation},
url="https://gcc.gnu.org/onlinedocs/gcc/"
}
@article{numpy,
author = "Walt, Stéfan van der and Colbert, S. Chris and Varoquaux, Gaël",
title = "The NumPy Array: A Structure for Efficient Numerical Computation",
journal = "Computing in Science \& Engineering",
year = "2011",
volume = "13",
number = "2",
pages = "22-30",
url = "http://scitation.aip.org/content/aip/journal/cise/13/2/10.1109/MCSE.2011.37",
doi = "http://dx.doi.org/10.1109/MCSE.2011.37"
}
@article{matplotlib,
author = "Hunter, John D.",
title = "Matplotlib: A 2D Graphics Environment",
journal = "Computing in Science \& Engineering",
year = "2007",
volume = "9",
number = "3",
pages = "90-95",
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doi = "http://dx.doi.org/10.1109/MCSE.2007.55"
}
@article{cython,
author = "Behnel, Stefan and Bradshaw, Robert and Citro, Craig and Dalcin, Lisandro and Seljebotn, Dag Sverre and Smith, Kurt",
title = "Cython: The Best of Both Worlds",
journal = "Computing in Science \& Engineering",
year = "2011",
volume = "13",
number = "2",
pages = "31-39",
url = "http://scitation.aip.org/content/aip/journal/cise/13/2/10.1109/MCSE.2010.118",
doi = "http://dx.doi.org/10.1109/MCSE.2010.118"
}
@InProceedings{pandas,
author = { Wes McKinney },
title = { Data Structures for Statistical Computing in Python },
booktitle = { Proceedings of the 9th Python in Science Conference },
pages = { 51 - 56 },
year = { 2010 },
editor = { St\'efan van der Walt and Jarrod Millman }
}
@article{baldock2016determining,
title={Determining pressure-temperature phase diagrams of materials},
author={Baldock, Robert JN and Pártay, Lívia B and Bartók, Albert P and Payne, Michael C and Csányi, Gábor},
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volume={93},
number={17},
pages={174108},
year={2016},
publisher={APS}
}
@article{brewer2014inference,
title={Inference for Trans-dimensional Bayesian Models with Diffusive Nested Sampling},
author={Brewer, Brendon J},
journal={arXiv preprint arXiv:1411.3921},
year={2014}
}
@article{brewer2017computing,
title={Computing Entropies with Nested Sampling},
author={Brewer, Brendon J},
journal={Entropy},
volume={19},
number={8},
pages={422},
year={2017},
publisher={Multidisciplinary Digital Publishing Institute}
}
@article{exoplanet,
title={Fast Bayesian inference for exoplanet discovery in radial velocity data},
author={Brewer, Brendon J and Donovan, Courtney P},
journal={\mnras},
volume={448},
number={4},
pages={3206--3214},
year={2015},
publisher={Oxford University Press}
}
@article{caticha,
title={Lectures on Probability, Entropy, and Statistical Physics},
author={Caticha, Ariel},
journal={MaxEnt 2008, Sao Paulo, Brazil. arXiv.org/abs/0808.0012},
year={2008}
}
@article{ioannidis,
title={Why most published research findings are false},
author={Ioannidis, John PA},
journal={PLoS medicine},
volume={2},
number={8},
pages={e124},
year={2005},
publisher={Public Library of Science}
}
@article{nosek,
title={Scientific utopia: II. Restructuring incentives and practices to promote truth over publishability},
author={Nosek, Brian A and Spies, Jeffrey R and Motyl, Matt},
journal={Perspectives on Psychological Science},
volume={7},
number={6},
pages={615--631},
year={2012},
publisher={Sage Publications Sage CA: Los Angeles, CA}
}
@article{dnest4,
author = {Brendon Brewer and Daniel Foreman-Mackey},
title = {D{N}est4: Diffusive Nested Sampling in {C}++ and {P}ython},
journal = {Journal of Statistical Software, Articles},
volume = {86},
number = {7},
year = {2018},
keywords = {Bayesian inference; Markov chain Monte Carlo; Metropolis algorithm; bayesian computation; nested sampling; C++11; Python},
abstract = {In probabilistic (Bayesian) inferences, we typically want to compute properties of the posterior distribution, describing knowledge of unknown quantities in the context of a particular dataset and the assumed prior information. The marginal likelihood, also known as the \"evidence\", is a key quantity in Bayesian model selection. The diffusive nested sampling algorithm, a variant of nested sampling, is a powerful tool for generating posterior samples and estimating marginal likelihoods. It is effective at solving complex problems including many where the posterior distribution is multimodal or has strong dependencies between variables. DNest4 is an open source (MIT licensed), multi-threaded implementation of this algorithm in C++11, along with associated utilities including: (i) 'RJObject', a class template for finite mixture models; and (ii) a Python package allowing basic use without C++ coding. In this paper we demonstrate DNest4 usage through examples including simple Bayesian data analysis, finite mixture models, and approximate Bayesian computation.},
issn = {1548-7660},
pages = {1--33},
doi = {10.18637/jss.v086.i07},
url = {https://www.jstatsoft.org/v086/i07}
}
@article{dns,
title={Diffusive nested sampling},
author={Brewer, Brendon J and Pártay, Lívia B and Csányi, Gábor},
journal={Statistics and Computing},
volume={21},
number={4},
pages={649--656},
year={2011},
publisher={Springer}
}
@article{stevenson2021finding,
title={Finding your feet: a Gaussian process model for estimating the abilities of batsmen in test cricket},
author={Stevenson, Oliver G and Brewer, Brendon J},
journal={Journal of the Royal Statistical Society Series C: Applied Statistics},
volume={70},
number={2},
pages={481--506},
year={2021},
publisher={Oxford University Press}
}
@article{knuth2012foundations,
title={Foundations of inference},
author={Knuth, Kevin H and Skilling, John},
journal={Axioms},
volume={1},
number={1},
pages={38--73},
year={2012},
publisher={Molecular Diversity Preservation International}
}
@ARTICLE{gregoryTrimodal,
author = {{Gregory}, P.~C.},
title = "{A Bayesian Analysis of Extrasolar Planet Data for HD 73526}",
journal = {\apj},
keywords = {Methods: Data Analysis, Stars: Planetary Systems, Stars: Individual: Henry Draper Number: HD 73526},
year = 2005,
month = oct,
volume = 631,
pages = {1198-1214},
doi = {10.1086/432594},
adsurl = {http://adsabs.harvard.edu/abs/2005ApJ...631.1198G},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
@book{gibbs,
title={Elementary principles in statistical mechanics},
author={Gibbs, J Willard},
year={2014},
publisher={Courier Corporation}
}
@book{gregory2005bayesian,
title={Bayesian Logical Data Analysis for the Physical Sciences: A Comparative Approach with Mathematica{\textregistered} Support},
author={Gregory, Phil},
year={2005},
publisher={Cambridge University Press}
}
@article{stand_on_entropy,
title={Where do I stand on maximum entropy?},
author={Jaynes, Edwin T},
journal={The Maximum Entropy Formalism},
pages={15},
year={1979},
publisher={MIT Press, Cambridge MA, USA},
editor={R. D. Levine and M. Tribus (eds.)}
}
@article{JMLR:v15:szabo14a,
author = {Zolt\'{a}n Szab\'{o}},
title = {Information Theoretical Estimators Toolbox},
journal = {Journal of Machine Learning Research},
year = {2014},
volume = {15},
pages = {283-287},
url = {http://jmlr.org/papers/v15/szabo14a.html}
}
% Celeste.jl paper
@article{regier2016learning,
title={Learning an Astronomical Catalog of the Visible Universe through Scalable Bayesian Inference},
author={Regier, Jeffrey and Pamnany, Kiran and Giordano, Ryan and Thomas, Rollin and Schlegel, David and McAuliffe, Jon and others},
journal={arXiv preprint arXiv:1611.03404},
year={2016}
}
@ARTICLE{hoggFitLine,
author = {{Hogg}, D.~W. and {Bovy}, J. and {Lang}, D.},
title = "{Data analysis recipes: Fitting a model to data}",
journal = {ArXiv e-prints},
archivePrefix = "arXiv",
eprint = {1008.4686},
primaryClass = "astro-ph.IM",
keywords = {Astrophysics - Instrumentation and Methods for Astrophysics, Physics - Data Analysis, Statistics and Probability},
year = 2010,
month = aug,
adsurl = {http://adsabs.harvard.edu/abs/2010arXiv1008.4686H},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
@inproceedings{caticha2006updating,
title={Updating Probabilities},
author={Caticha, Ariel and Giffin, Adom},
booktitle={Bayesian Inference and Maximum Entropy Methods In Science and Engineering},
volume={872},
number={1},
pages={31--42},
year={2006},
organization={AIP Publishing}
}
@article{del2012adaptive,
title={An adaptive sequential Monte Carlo method for approximate Bayesian computation},
author={Del Moral, Pierre and Doucet, Arnaud and Jasra, Ajay},
journal={Statistics and Computing},
volume={22},
number={5},
pages={1009--1020},
year={2012},
publisher={Springer}
}
@book{jaynes2003probability,
title={Probability theory: The logic of science},
author={Jaynes, Edwin T},
year={2003},
publisher={Cambridge university press}
}
@article{dybowski2015single,
title={Single passage in mouse organs enhances the survival and spread of Salmonella enterica},
author={Dybowski, Richard and Restif, Olivier and Goupy, Alexandre and Maskell, Duncan J and Mastroeni, Piero and Grant, Andrew J},
journal={Journal of The Royal Society Interface},
volume={12},
number={113},
pages={20150702},
year={2015},
publisher={The Royal Society}
}
@article{feroz2009multinest,
title={MultiNest: an efficient and robust Bayesian inference tool for cosmology and particle physics},
author={Feroz, F and Hobson, MP and Bridges, M},
journal={\mnras},
volume={398},
number={4},
pages={1601--1614},
year={2009},
publisher={Oxford University Press}
}
@inproceedings{giffin2007updating,
title={Updating Probabilities with Data and Moments},
author={Giffin, Adom and Caticha, Ariel},
booktitle={Bayesian Inference and Maximum Entropy Methods in Science and Engineering},
volume={954},
pages={74--84},
year={2007}
}
@article{neal2001annealed,
title={Annealed importance sampling},
author={Neal, Radford M},
journal={Statistics and Computing},
volume={11},
number={2},
pages={125--139},
year={2001},
publisher={Springer}
}
@article{xie2010improving,
title={Improving marginal likelihood estimation for Bayesian phylogenetic model selection},
author={Xie, Wangang and Lewis, Paul O and Fan, Yu and Kuo, Lynn and Chen, Ming-Hui},
journal={Systematic biology},
volume={60},
number={2},
pages={150--160},
year={2010},
publisher={Oxford University Press}
}
@article{marinari1992simulated,
title={Simulated tempering: a new Monte Carlo scheme},
author={Marinari, Enzo and Parisi, Giorgio},
journal={EPL (Europhysics Letters)},
volume={19},
number={6},
pages={451},
year={1992},
publisher={IOP Publishing}
}
@article{hansmann1997parallel,
title={Parallel tempering algorithm for conformational studies of biological molecules},
author={Hansmann, Ulrich HE},
journal={Chemical Physics Letters},
volume={281},
number={1},
pages={140--150},
year={1997},
publisher={Elsevier}
}
@article{green1995reversible,
title={Reversible jump Markov chain Monte Carlo computation and Bayesian model determination},
author={Green, Peter J},
journal={Biometrika},
volume={82},
number={4},
pages={711--732},
year={1995},
publisher={Biometrika Trust}
}
@article{handley2015polychord,
title={POLYCHORD: next-generation nested sampling},
author={Handley, WJ and Hobson, MP and Lasenby, AN},
journal={\mnras},
volume={453},
number={4},
pages={4384--4398},
year={2015},
publisher={Oxford University Press}
}
@article{polson2014vertical,
title={Vertical-likelihood Monte Carlo},
author={Polson, Nicholas G and Scott, James G},
journal={arXiv preprint arXiv:1409.3601},
year={2014}
}
@article{huppenkothen2015dissecting,
title={Dissecting magnetar variability with Bayesian hierarchical models},
author={Huppenkothen, Daniela and Brewer, Brendon J and Hogg, David W and Murray, Iain and Frean, Marcus and Elenbaas, Chris and Watts, Anna L and Levin, Yuri and Van Der Horst, Alexander J and Kouveliotou, Chryssa},
journal={\apj},
volume={810},
number={1},
pages={66},
year={2015},
publisher={IOP Publishing}
}
@article{neal2005estimating,
title={Estimating ratios of normalizing constants using linked importance sampling},
author={Neal, Radford M},
journal={arXiv preprint math/0511216},
year={2005}
}
@article{slice,
title={Slice sampling},
author={Neal, Radford M},
journal={Annals of statistics},
pages={705--741},
year={2003},
publisher={JSTOR}
}
@article{trias2009delayed,
title={Delayed rejection schemes for efficient Markov-Chain Monte-Carlo sampling of multimodal distributions},
author={Trias, Miquel and Vecchio, Alberto and Veitch, John},
journal={arXiv preprint arXiv:0904.2207},
year={2009}
}
@article{neal2011mcmc,
title={MCMC using Hamiltonian dynamics},
author={Neal, Radford M and others},
journal={Handbook of Markov Chain Monte Carlo},
volume={2},
pages={113--162},
year={2011}
}
@book{o2004kendall,
title={Kendall's advanced theory of statistics, volume 2B: Bayesian inference},
author={O'Hagan, Anthony and Forster, Jonathan J},
volume={2},
year={2004},
publisher={Arnold}
}
@article{pancoast2014modelling,
title={Modelling reverberation mapping data--I. Improved geometric and dynamical models and comparison with cross-correlation results},
author={Pancoast, Anna and Brewer, Brendon J and Treu, Tommaso},
journal={\mnras},
volume={445},
number={3},
pages={3055--3072},
year={2014},
publisher={Oxford University Press}
}
@article{partay2010efficient,
title={Efficient sampling of atomic configurational spaces},
author={Pártay, Lívia B and Bartók, Albert P and Csányi, Gábor},
journal={The Journal of Physical Chemistry B},
volume={114},
number={32},
pages={10502--10512},
year={2010},
publisher={ACS Publications}
}
% NS in Systems Biology
@article{pullen2014bayesian,
title={Bayesian model comparison and parameter inference in systems biology using nested sampling},
author={Pullen, Nick and Morris, Richard J},
journal={PloS one},
volume={9},
number={2},
pages={e88419},
year={2014},
publisher={Public Library of Science}
}
% Throwaway reference for NS in physics
@article{martiniani2014superposition,
title={Superposition enhanced nested sampling},
author={Martiniani, Stefano and Stevenson, Jacob D and Wales, David J and Frenkel, Daan},
journal={Physical Review X},
volume={4},
number={3},
pages={031034},
year={2014},
publisher={APS}
}
@incollection{jaynes1976confidence,
title={Confidence intervals vs Bayesian intervals},
author={Jaynes, Edwin T and Kempthorne, Oscar},
booktitle={Foundations of probability theory, statistical inference, and statistical theories of science},
pages={175--257},
year={1976},
publisher={Springer}
}
@article{robert2011lack,
title={Lack of confidence in approximate Bayesian computation model choice},
author={Robert, Christian P and Cornuet, Jean-Marie and Marin, Jean-Michel and Pillai, Natesh S},
journal={Proceedings of the National Academy of Sciences},
volume={108},
number={37},
pages={15112--15117},
year={2011},
publisher={National Acad Sciences}
}
@article{corner,
Author = {Daniel Foreman-Mackey},
Doi = {10.21105/joss.00024},
Title = {corner.py: Scatterplot matrices in Python},
Journal = {The Journal of Open Source Software},
Year = 2016,
Volume = 24,
Url = {http://dx.doi.org/10.5281/zenodo.45906}
}
@article{neal2006puzzles,
title={Puzzles of anthropic reasoning resolved using full non-indexical conditioning},
author={Neal, Radford M},
journal={arXiv preprint math/0608592},
year={2006}
}
@book{sivia2006data,
title={Data analysis: a Bayesian tutorial},
author={Sivia, Devinderjit and Skilling, John},
year={2006},
publisher={OUP Oxford}
}
@article{HENDERSON201784,
title = "Combined-chain nested sampling for efficient Bayesian model comparison",
journal = "Digital Signal Processing",
volume = "70",
number = "",
pages = "84 - 93",
year = "2017",
note = "",
issn = "1051-2004",
doi = "http://dx.doi.org/10.1016/j.dsp.2017.07.021",
url = "http://www.sciencedirect.com/science/article/pii/S1051200417301719",
author = "R. Wesley Henderson and Paul M. Goggans and Lei Cao",
keywords = "Bayesian inference",
keywords = "Model comparison",
keywords = "MCMC",
keywords = "Nested sampling",
keywords = "Parallel computing"
}
@ARTICLE{vegettiJackpot,
author = {{Vegetti}, S. and {Koopmans}, L.~V.~E. and {Bolton}, A. and
{Treu}, T. and {Gavazzi}, R.},
title = "{Detection of a dark substructure through gravitational imaging}",
journal = {\mnras},
archivePrefix = "arXiv",
eprint = {0910.0760},
keywords = {gravitational lensing: strong, galaxies: structure},
year = 2010,
month = nov,
volume = 408,
pages = {1969-1981},
doi = {10.1111/j.1365-2966.2010.16865.x},
adsurl = {http://adsabs.harvard.edu/abs/2010MNRAS.408.1969V},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
@article{caticha2008lectures,
title={Lectures on probability, entropy, and statistical physics},
author={Caticha, Ariel},
journal={arXiv preprint arXiv:0808.0012},
year={2008}
}
@ARTICLE{sonnenfeldJackpot,
author = {{Sonnenfeld}, A. and {Treu}, T. and {Gavazzi}, R. and {Marshall}, P.~J. and
{Auger}, M.~W. and {Suyu}, S.~H. and {Koopmans}, L.~V.~E. and
{Bolton}, A.~S.},
title = "{Evidence for Dark Matter Contraction and a Salpeter Initial Mass Function in a Massive Early-type Galaxy}",
journal = {\apj},
archivePrefix = "arXiv",
eprint = {1111.4215},
keywords = {dark matter, galaxies: elliptical and lenticular, cD, galaxies: structure, gravitational lensing: strong},
year = 2012,
month = jun,
volume = 752,
eid = {163},
pages = {163},
doi = {10.1088/0004-637X/752/2/163},
adsurl = {http://adsabs.harvard.edu/abs/2012ApJ...752..163S},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
@article{bernardo2005reference,
title={Reference analysis},
author={Bernardo, Jos{\'e} M},
journal={Handbook of statistics},
volume={25},
pages={17--90},
year={2005},
publisher={Elsevier}
}
@article{salomone2018unbiased,
title={Unbiased and Consistent Nested Sampling via Sequential Monte Carlo},
author={Salomone, Robert and South, Leah F and Drovandi, Christopher C and Kroese, Dirk P},
journal={arXiv preprint arXiv:1805.03924},
year={2018}
}
@article{skilling2006nested,
title={Nested sampling for general Bayesian computation},
author={John Skilling},
journal={Bayesian analysis},
volume={1},
number={4},
pages={833--859},
year={2006},
publisher={International Society for Bayesian Analysis}
}
@ARTICLE{shannon,
author={C. E. Shannon},
journal={The Bell System Technical Journal},
title={A mathematical theory of communication},
year={1948},
volume={27},
number={3},
pages={379-423},
doi={10.1002/j.1538-7305.1948.tb01338.x},
ISSN={0005-8580},
month={July},}
@phdthesis{tobin2018embedded,
title={Embedded Domain-Specific Languages for Bayesian Modelling and Inference},
author={Tobin, Jared},
year={2018},
school={The University of Auckland},
url="https://odysee.com/@BrendonBrewer:3/jtobin-dissertation:f"
}
@article{van2017inquiry,
title={Inquiry Calculus and the Issue of Negative Higher Order Informations},
author={van Erp, HR and Linger, Ronald O and van Gelder, Pieter HAJM},
journal={Entropy},
volume={19},
number={11},
pages={622},
year={2017},
publisher={Multidisciplinary Digital Publishing Institute}
}
@article{walter2017point,
title={Point process-based Monte Carlo estimation},
author={Walter, Cl{\'e}ment},
journal={Statistics and Computing},
volume={27},
number={1},
pages={219--236},
year={2017},
publisher={Springer}
}