Mapping variations of redshift distributions with probability integral transforms

Author:

Myles J1234ORCID,Gruen D4,Amon A56ORCID,Alarcon A7,DeRose J8,Everett S9,Dodelson S1011,Bernstein G M12ORCID,Campos A10,Harrison I13,MacCrann N14,McCullough J2,Raveri M12,Sánchez C12ORCID,Troxel M A15,Yin B10,Abbott T M C16,Allam S17,Alves O18,Andrade-Oliveira F18,Bertin E1920,Brooks D21,Burke D L23,Rosell A Carnero222324,Kind M Carrasco2526,Carretero J27,Cawthon R28,Costanzi M293031,da Costa L N23,Pereira M E S32,Desai S33,Doel P21,Ferrero I34,Flaugher B17,Frieman J1735,García-Bellido J36,Gatti M12,Gerdes D W3718,Gruendl R A2526,Gschwend J2338,Gutierrez G17,Hartley W G39,Hinton S R40,Hollowood D L41,Honscheid K4243,James D J44,Kuehn K4546,Lahav O21,Melchior P47,Mena-Fernández J48,Menanteau F2526,Miquel R4927,Mohr J J504,Palmese A51,Paz-Chinchón F255,Pieres A2338,Malagón A A Plazas47,Prat J5235,Rodriguez-Monroy M48,Sanchez E48,Scarpine V17,Sevilla-Noarbe I48,Smith M53,Suchyta E54,Swanson M E C,Tarle G18,Tucker D L17,Vincenzi M5553,Weaverdyck N188,

Affiliation:

1. Department of Physics, Stanford University , 382 Via Pueblo Mall, Stanford, CA 94305, USA

2. Kavli Institute for Particle Astrophysics & Cosmology (KIPAC), Stanford University, , PO Box 2450, Stanford, CA 94305, USA

3. SLAC National Accelerator Laboratory , Menlo Park, CA 94025, USA

4. University Observatory, Faculty of Physics, Ludwig-Maximilians-Universität , Scheinerstraße 1, D-81679 Munich, Germany

5. Institute of Astronomy, University of Cambridge , Madingley Road, Cambridge CB3 0HA, UK

6. Kavli Institute for Cosmology, University of Cambridge , Madingley Road, Cambridge CB3 0HA, UK

7. Argonne National Laboratory , 9700 South Cass Avenue, Lemont, IL 60439, USA

8. Lawrence Berkeley National Laboratory , 1 Cyclotron Road, Berkeley, CA 94720, USA

9. Jet Propulsion Laboratory, California Institute of Technology , 4800 Oak Grove Dr., Pasadena, CA 91109, USA

10. Department of Physics, Carnegie Mellon University , Pittsburgh, Pennsylvania 15312, USA

11. NSF AI Planning Institute for Physics of the Future, Carnegie Mellon University , Pittsburgh, PA 15213, USA

12. Department of Physics and Astronomy, University of Pennsylvania , Philadelphia, PA 19104, USA

13. School of Physics and Astronomy, Cardiff University , CF24 3AA, UK

14. Department of Applied Mathematics and Theoretical Physics, University of Cambridge , Cambridge CB3 0WA, UK

15. Department of Physics, Duke University Durham , NC 27708, USA

16. Cerro Tololo Inter-American Observatory, NSF’s National Optical-Infrared Astronomy Research Laboratory , Casilla 603, La Serena, Chile

17. Fermi National Accelerator Laboratory , PO Box 500, Batavia, IL 60510, USA

18. Department of Physics, University of Michigan , Ann Arbor, MI 48109, USA

19. CNRS , UMR 7095, Institut d’Astrophysique de Paris, F-75014, Paris, France

20. Sorbonne Universités , UPMC Univ Paris 06, UMR 7095, Institut d’Astrophysique de Paris, F-75014, Paris, France

21. Department of Physics & Astronomy, University College London , Gower Street, London, WC1E 6BT, UK

22. Instituto de Astrofisica de Canarias , E-38205 La Laguna, Tenerife, Spain

23. Laboratório Interinstitucional de e-Astronomia - LIneA , Rua Gal. José Cristino 77, Rio de Janeiro, RJ – 20921-400, Brazil

24. Universidad de La Laguna , Dpto. Astrofísica, E-38206 La Laguna, Tenerife, Spain

25. Center for Astrophysical Surveys, National Center for Supercomputing Applications , 1205 West Clark St., Urbana, IL 61801, USA

26. Department of Astronomy, University of Illinois at Urbana-Champaign , 1002 W. Green Street, Urbana, IL 61801, USA

27. Institut de Física d’Altes Energies (IFAE), The Barcelona Institute of Science and Technology , Campus UAB, E-08193 Bellaterra (Barcelona), Spain

28. Physics Department , William Jewell College, Liberty, MO, 64068, USA

29. Astronomy Unit, Department of Physics, University of Trieste , via Tiepolo 11, I-34131 Trieste, Italy

30. INAF-Osservatorio Astronomico di Trieste , via G. B. Tiepolo 11, I-34143 Trieste, Italy

31. Institute for Fundamental Physics of the Universe , Via Beirut 2, I-34014 Trieste, Italy

32. Hamburger Sternwarte, Universität Hamburg , Gojenbergsweg 112, D-21029 Hamburg, Germany

33. Department of Physics , IIT Hyderabad, Kandi, Telangana 502285, India

34. Institute of Theoretical Astrophysics, University of Oslo . PO Box 1029 Blindern, NO-0315 Oslo, Norway

35. Kavli Institute for Cosmological Physics, University of Chicago , Chicago, IL 60637, USA

36. Instituto de Fisica Teorica UAM/CSIC, Universidad Autonoma de Madrid , E-28049 Madrid, Spain

37. Department of Astronomy, University of Michigan , Ann Arbor, MI 48109, USA

38. Observatório Nacional , Rua Gal. José Cristino 77, Rio de Janeiro, RJ - 20921-400, Brazil

39. Department of Astronomy, University of Geneva , ch. d’Écogia 16, CH-1290 Versoix, Switzerland

40. School of Mathematics and Physics, University of Queensland , Brisbane, QLD 4072, Australia

41. Santa Cruz Institute for Particle Physics , Santa Cruz, CA 95064, USA

42. Center for Cosmology and Astro-Particle Physics, The Ohio State University , Columbus, OH 43210, USA

43. Department of Physics, The Ohio State University , Columbus, OH 43210, USA

44. Center for Astrophysics | Harvard & Smithsonian , 60 Garden Street, Cambridge, MA 02138, USA

45. Australian Astronomical Optics, Macquarie University , North Ryde, NSW 2113, Australia

46. Lowell Observatory , 1400 Mars Hill Rd, Flagstaff, AZ 86001, USA

47. Department of Astrophysical Sciences, Princeton University , Peyton Hall, Princeton, NJ 08544, USA

48. Centro de Investigaciones Energéticas , Medioambientales y Tecnológicas (CIEMAT), Av. Complutense, 40, E-28040, Madrid, Spain

49. Institució Catalana de Recerca i Estudis Avançats , E-08010 Barcelona, Spain

50. Max Planck Institute for Extraterrestrial Physics , Giessenbachstrasse, D-85748 Garching, Germany

51. Department of Astronomy, University of California , Berkeley, 501 Campbell Hall, Berkeley, CA 94720, USA

52. Department of Astronomy and Astrophysics, University of Chicago , Chicago, IL 60637, USA

53. School of Physics and Astronomy, University of Southampton , Southampton, SO17 1BJ, UK

54. Computer Science and Mathematics Division, Oak Ridge National Laboratory , Oak Ridge, TN 37831, USA

55. Institute of Cosmology and Gravitation, University of Portsmouth , Portsmouth, PO1 3FX, UK

Abstract

ABSTRACT We present a method for mapping variations between probability distribution functions and apply this method within the context of measuring galaxy redshift distributions from imaging survey data. This method, which we name PITPZ for the probability integral transformations it relies on, uses a difference in curves between distribution functions in an ensemble as a transformation to apply to another distribution function, thus transferring the variation in the ensemble to the latter distribution function. This procedure is broadly applicable to the problem of uncertainty propagation. In the context of redshift distributions, for example, the uncertainty contribution due to certain effects can be studied effectively only in simulations, thus necessitating a transfer of variation measured in simulations to the redshift distributions measured from data. We illustrate the use of PITPZ by using the method to propagate photometric calibration uncertainty to redshift distributions of the Dark Energy Survey Year 3 weak lensing source galaxies. For this test case, we find that PITPZ yields a lensing amplitude uncertainty estimate due to photometric calibration error within 1 per cent of the truth, compared to as much as a 30 per cent underestimate when using traditional methods.

Funder

DARE

NSF

Brinson Foundation

Moore Foundation

European Research Council

Horizon 2020

Publisher

Oxford University Press (OUP)

Subject

Space and Planetary Science,Astronomy and Astrophysics

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