@article(allen2017quantum,
 author       = {John-Mark A Allen and Jonathan Barrett and Dominic C Horsman and Ciar{\'a}n M Lee and Robert W Spekkens},
 year         = {2017},
 title        = {Quantum common causes and quantum causal models},
 journal      = {Physical Review X},
 volume       = {7},
 number       = {3},
 pages        = {031021},
 doi          = {10.1103/PhysRevX.7.031021},
)
@article(bell1964einstein,
 author       = {John S Bell},
 year         = {1964},
 title        = {On the \uppercase{E}instein \uppercase{P}odolsky \uppercase{R}osen paradox},
 journal      = {Physics Physique Fizika},
 volume       = {1},
 number       = {3},
 pages        = {195},
 doi          = {10.1103/PhysicsPhysiqueFizika.1.195},
)
@article(berne2007analysis,
 author       = {Olivier Berne and C Joblin and Y Deville and JD Smith and M Rapacioli and JP Bernard and J Thomas and W Reach and A Abergel},
 year         = {2007},
 title        = {Analysis of the emission of very small dust particles from Spitzer spectro-imagery data using blind signal separation methods},
 journal      = {Astronomy \& Astrophysics},
 volume       = {469},
 number       = {2},
 pages        = {575},
 doi          = {10.1051/0004-6361:20066282},
)
@article(berry2007algorithms,
 author       = {Michael W Berry and Murray Browne and Amy N Langville and V Paul Pauca and Robert J Plemmons},
 year         = {2007},
 title        = {Algorithms and applications for approximate nonnegative matrix factorization},
 journal      = {Computational statistics \& data analysis},
 volume       = {52},
 number       = {1},
 pages        = {155},
 doi          = {10.1016/j.csda.2006.11.006},
)
@article(chaves2013entropic,
 author       = {Rafael Chaves},
 year         = {2013},
 title        = {Entropic inequalities as a necessary and sufficient condition to noncontextuality and locality},
 journal      = {Physical Review A},
 volume       = {87},
 number       = {2},
 pages        = {022102},
 doi          = {10.1103/PhysRevA.87.022102},
)
@article(chaves2014inferring,
 author       = {Rafael Chaves and Lukas Luft and Thiago O Maciel and David Gross and Dominik Janzing and Bernhard Sch{\"o}lkopf},
 year         = {2014},
 title        = {Inferring latent structures via information inequalities},
 journal      = {ArXiv e-prints},
)
@article(cohen1993nonnegative,
 author       = {Joel E Cohen and Uriel G Rothblum},
 year         = {1993},
 title        = {Nonnegative ranks, decompositions, and factorizations of nonnegative matrices},
 journal      = {Linear Algebra and its Applications},
 volume       = {190},
 pages        = {149--168},
 doi          = {10.1016/0024-3795(93)90224-C},
)
@inproceedings(evans2012graphical,
 author       = {Robin J Evans},
 year         = {2012},
 title        = {Graphical methods for inequality constraints in marginalized DAGs},
 booktitle    = {2012 IEEE International Workshop on Machine Learning for Signal Processing},
 organization = {IEEE},
 pages        = {1},
 doi          = {10.1109/MLSP.2012.6349796},
)
@article(fawzi2015positive,
 author       = {Hamza Fawzi and Jo{\~a}o Gouveia and Pablo A Parrilo and Richard Z Robinson and Rekha R Thomas},
 year         = {2015},
 title        = {Positive semidefinite rank},
 journal      = {Mathematical Programming},
 volume       = {153},
 number       = {1},
 pages        = {133--177},
 doi          = {10.1007/s10107-015-0922-1},
)
@inproceedings(fiorini2012linear,
 author       = {Samuel Fiorini and Serge Massar and Sebastian Pokutta and Hans Raj Tiwary and De Wolf, Ronald},
 year         = {2012},
 title        = {Linear vs. semidefinite extended formulations: exponential separation and strong lower bounds},
 booktitle    = {Proceedings of the forty-fourth annual ACM symposium on Theory of computing},
 pages        = {95},
 doi          = {10.1145/2213977.2213988},
)
@article(fritz2012beyond,
 author       = {Tobias Fritz},
 year         = {2012},
 title        = {Beyond \uppercase{B}ell's theorem: correlation scenarios},
 journal      = {New Journal of Physics},
 volume       = {14},
 number       = {10},
 pages        = {103001},
 doi          = {10.1088/1367-2630/14/10/103001},
)
@article(geiger1999quantifier,
 author       = {Dan Geiger and Christopher Meek},
 year         = {2013},
 title        = {Quantifier elimination for statistical problems},
 journal      = {ArXiv e-prints},
)
@article(gonzalo2017cond,
 author       = {Mena Gonzalo},
 year         = {2017},
 title        = {Conditional Independence as Non-Negative Matrix Factorization},
 journal      = {Note},
 url          = {http://stat.columbia.edu/~gonzalo/pubs/CondIndep.pdf},
)
@article(jain2013efficient,
 author       = {Rahul Jain and Yaoyun Shi and Zhaohui Wei and Shengyu Zhang},
 year         = {2013},
 title        = {Efficient protocols for generating bipartite classical distributions and quantum states},
 journal      = {IEEE Transactions on Information Theory},
 volume       = {59},
 number       = {8},
 pages        = {5171},
 doi          = {10.1109/TIT.2013.2258372},
)
@article(kang2012polynomial,
 author       = {Changsung Kang and Jin Tian},
 year         = {2012},
 title        = {Polynomial constraints in causal \uppercase{B}ayesian networks},
 journal      = {ArXiv e-prints},
)
@article(leifer2013towards,
 author       = {Matthew S Leifer and Robert W Spekkens},
 year         = {2013},
 title        = {Towards a formulation of quantum theory as a causally neutral theory of Bayesian inference},
 journal      = {Physical Review A},
 volume       = {88},
 number       = {5},
 pages        = {052130},
 doi          = {10.1103/PhysRevA.88.052130},
)
@article(murrell2011non,
 author       = {Ben Murrell and Thomas Weighill and Jan Buys and Robert Ketteringham and Sasha Moola and Gerdus Benade and Du Buisson, Lise and Daniel Kaliski and Tristan Hands and Konrad Scheffler},
 year         = {2011},
 title        = {Non-negative matrix factorization for learning alignment-specific models of protein evolution},
 journal      = {PLOS one},
 volume       = {6},
 number       = {12},
 doi          = {10.1371/journal.pone.0028898},
)
@book(pearl2000causality,
 author       = {Judea Pearl},
 year         = {2009},
 title        = {Causality},
 publisher    = {Cambridge University Press},
 doi          = {10.1017/CBO9780511803161},
)
@article(ried2015quantum,
 author       = {Katja Ried and Megan Agnew and Lydia Vermeyden and Dominik Janzing and Robert W Spekkens and Kevin J Resch},
 year         = {2015},
 title        = {A quantum advantage for inferring causal structure},
 journal      = {Nature Physics},
 volume       = {11},
 number       = {5},
 pages        = {414},
 doi          = {10.1038/nphys3266},
)
@article(rosset2016nonlinear,
 author       = {Denis Rosset and Cyril Branciard and Tomer Jack Barnea and Gilles P{\"u}tz and Nicolas Brunner and Nicolas Gisin},
 year         = {2016},
 title        = {Nonlinear \uppercase{B}ell inequalities tailored for quantum networks},
 journal      = {Physical Review Letters},
 volume       = {116},
 number       = {1},
 pages        = {010403},
 doi          = {10.1103/PhysRevLett.116.010403},
)
@article(rosset2017universal,
 author       = {Denis Rosset and Nicolas Gisin and Elie Wolfe},
 year         = {2017},
 title        = {Universal bound on the cardinality of local hidden variables in networks},
 journal      = {ArXiv e-prints},
 doi          = {10.26421/QIC18.11-12},
)
@book(spirtes2000causation,
 author       = {Peter Spirtes and Clark N Glymour and Richard Scheines and David Heckerman},
 year         = {2000},
 title        = {Causation, prediction, and search},
 publisher    = {MIT press},
 doi          = {10.1007/978-1-4612-2748-9},
)
@article(steudel2015information,
 author       = {Bastian Steudel and Nihat Ay},
 year         = {2015},
 title        = {Information-theoretic inference of common ancestors},
 journal      = {Entropy},
 volume       = {17},
 number       = {4},
 pages        = {2304},
 doi          = {10.3390/e17042304},
)
@article(tavakoli2016bell,
 author       = {Armin Tavakoli},
 year         = {2016},
 title        = {\uppercase{B}ell-type inequalities for arbitrary noncyclic networks},
 journal      = {Physical Review A},
 volume       = {93},
 number       = {3},
 pages        = {030101},
 doi          = {10.1103/PhysRevA.93.030101},
)
@article(tian2012testable,
 author       = {Jin Tian and Judea Pearl},
 year         = {2012},
 title        = {On the testable implications of causal models with hidden variables},
 journal      = {ArXiv e-prints},
)
@article(wood2015lesson,
 author       = {Christopher J Wood and Robert W Spekkens},
 year         = {2015},
 title        = {The lesson of causal discovery algorithms for quantum correlations: Causal explanations of \uppercase{B}ell-inequality violations require fine-tuning},
 journal      = {New Journal of Physics},
 volume       = {17},
 number       = {3},
 pages        = {033002},
 doi          = {10.1088/1367-2630/17/3/033002},
)
@inproceedings(zhang2012quantum,
 author       = {Shengyu Zhang},
 year         = {2012},
 title        = {Quantum strategic game theory},
 booktitle    = {Proceedings of the 3rd Innovations in Theoretical Computer Science Conference},
 pages        = {39},
 doi          = {10.1145/2090236.2090241},
)