References

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

Comments and questions to: eptcs@eptcs.org
For website issues: webmaster@eptcs.org