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M. Asgari et al. (KiDS), Astron. Astrophys. 645
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Then

T. Charnock, R. A. Battye, and A. Moss, Phys. Rev. D 95
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2017
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G. Papamakarios, T. Pavlakou, and I. Murray, (2017), arXiv:1705.07057 [stat.ML]
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2017
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J. V. Dillon, I. Langmore, D. Tran, E. Brevdo, S. Vasudevan, D. Moore, B. Patton, A. Alemi, M. Hoffman, and R. A. Saurous, (2017), arXiv:1711.10604 [cs.LG]
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2017
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Original
2018

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2021

Non-Gaussian estimates of tensions in cosmological parameters

Raveri, Marco, Doux, Cyrille

Understand

We discuss how to efficiently and reliably estimate the level of agreement and disagreement on parameter determinations from different experiments, fully taking into account non-Gaussianities in the parameter posteriors.

We develop two families of scalable algorithms that allow us to perform this type of calculations in increasing number of dimensions and for different levels of tensions.
One family of algorithms rely on kernel density estimates of posterior distributions while the other relies on machine learning modeling of the posterior distribution with normalizing flows.
We showcase their effectiveness and accuracy with a set of benchmark examples and find both methods agree with each other and the true tension within $0.5\sigma$ in difficult cases and generally to $0.2\sigma$ or better.

Built on

W. Handley and P. Lemos, Phys. Rev. D 100
Original
1902
Earlier work this paper cites.
A. Moss, Mon. Not. Roy. Astron. Soc. 496
Original
1903
Earlier work this paper cites.
N. Aghanim et al. (Planck), Astron. Astrophys. 641
Original
1907
Earlier work this paper cites.
Y. Park and E. Rozo, Mon. Not. Roy. Astron. Soc. 499
Original
1907
Earlier work this paper cites.
I. Kobyzev, S. J. D. Prince, and M. A. Brubaker, IEEE Trans. Pattern Anal. Mach. Intell. , 1 (2019) , 1908.09257
Original
1908
Earlier work this paper cites.
W. Lin and M. Ishak, (2019), arXiv:1909.10991 [astro-ph.CO]
Original
1909
Earlier work this paper cites.
P. Lemos, F. Köhlinger, W. Handley, B. Joachimi, L. Whiteway, and O. Lahav, Mon. Not. Roy. Astron. Soc. 496
Original
1910
Earlier work this paper cites.
M. Raveri, G. Zacharegkas, and W. Hu, Phys. Rev. D 101
Original
1912
Earlier work this paper cites.
M. Rosenblatt, j-ANN-MATH-STAT 27
1956
Earlier work this paper cites.
E. Parzen, Ann. Math. Statist. 33
1962
Earlier work this paper cites.
G. R. Terrell and D. W. Scott, Ann. Statist. 20
1992
Earlier work this paper cites.
M. Wand and M. Jones, Kernel Smoothing , Chapman & Hall/CRC Monographs on Statistics & Applied Probability (Taylor & Francis, 1994)
1994
Earlier work this paper cites.
M. P. Hobson, S. L. Bridle, and O. Lahav, Mon. Not. Roy. Astron. Soc. 335
2002
Earlier work this paper cites.
C. Meng, Y. Song, J. Song, and S. Ermon, (2020), arXiv:2003.01941 [cs.LG]
Original
2003
Earlier work this paper cites.
P. Marshall, N. Rajguru, and A. Slosar, Phys. Rev. D 73
2006
Earlier work this paper cites.
D. M. Reiman, J. Tamanas, J. X. Prochaska, and D. Ďurovčíková, (2020), arXiv:2006.00615 [astro-ph.CO]
Original
2006
Earlier work this paper cites.

Similar

M. Asgari et al. (KiDS), Astron. Astrophys. 645
Original
2007
Cited alongside, same era.
A. Diaz Rivero and C. Dvorkin, Phys. Rev. D 102
Original
2007
Cited alongside, same era.
Y. Bengio and Y. Lecun, “Scaling learning algorithms towards ai,” in Large-scale kernel machines , edited by L. Bottou, O. Chapelle, D. DeCoste, and J. Weston (MIT Press, 2007)
2007
Cited alongside, same era.
F. Feroz and M. P. Hobson, Mon. Not. Roy. Astron. Soc. 384
Original
2008
Cited alongside, same era.
V. Miranda, P. Rogozenski, and E. Krause, (2020), arXiv:2009.14241 [astro-ph.CO]
Original
2009

Then

T. Charnock, R. A. Battye, and A. Moss, Phys. Rev. D 95
Original
2017
Later among the works it cites.
W. Lin and M. Ishak, Phys. Rev. D 96
Original
2017
Later among the works it cites.
G. Papamakarios, T. Pavlakou, and I. Murray, (2017), arXiv:1705.07057 [stat.ML]
Original
2017
Later among the works it cites.
J. V. Dillon, I. Langmore, D. Tran, E. Brevdo, S. Vasudevan, D. Moore, B. Patton, A. Alemi, M. Hoffman, and R. A. Saurous, (2017), arXiv:1711.10604 [cs.LG]
Original
2017
Later among the works it cites.
J. Luis Bernal and J. A. Peacock, JCAP 07
Original
2018

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

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Cited alongside, same era.

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2009

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J. Martin, C. Ringeval, R. Trotta, and V. Vennin, Phys. Rev. D 90

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M. Germain, K. Gregor, I. Murray, and H. Larochelle, (2015), arXiv:1502.03509 [cs.LG]

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