Built on

Jorge Nocedal, “Updating quasi-newton matrices with limited storage,” Mathematics of computation 35
1980
Earlier work this paper cites.
Wayne Hu and Asantha Cooray, “Gravitational time delay effects on cosmic microwave background anisotropies,” Phys. Rev. D63
2001
Earlier work this paper cites.
W. Hu and T. Okamoto, “Mass Reconstruction with Cosmic Microwave Background Polarization,” Astrophys. J. 574
2002
Earlier work this paper cites.
Antony Lewis, Anthony Challinor, and Neil Turok, “Analysis of CMB polarization on an incomplete sky,” Phys. Rev. D65
2002
Earlier work this paper cites.
Anthony Challinor and Gayoung Chon, “Geometry of weak lensing of CMB polarization,” Phys. Rev. D66
2002
Earlier work this paper cites.
T. Okamoto and W. Hu, “Cosmic microwave background lensing reconstruction on the full sky,” Phys. Rev. D 67
2003
Earlier work this paper cites.
Takemi Okamoto and Wayne Hu, “CMB lensing reconstruction on the full sky,” Phys. Rev. D67
2003
Earlier work this paper cites.
Uros Seljak and Christopher M. Hirata, “Gravitational lensing as a contaminant of the gravity wave signal in CMB,” Phys. Rev. D69
2004
Earlier work this paper cites.
Silvia Mollerach, Diego Harari, and Sabino Matarrese, “CMB polarization from secondary vector and tensor modes,” Phys. Rev. D69
2004
Earlier work this paper cites.
K. M. Gorski, Eric Hivon, A. J. Banday, B. D. Wandelt, F. K. Hansen, M. Reinecke, and M. Bartelman, “HEALPix - A Framework for high resolution discretization, and fast analysis of data distributed on the sphere,” Astrophys. J. 622
2005
Earlier work this paper cites.
Antony Lewis, “Lensed CMB simulation and parameter estimation,” Phys. Rev. D71
2005
Earlier work this paper cites.
A. Lewis and A. Challinor, “Weak gravitational lensing of the CMB,” Phys. Rept. 429
2006
Earlier work this paper cites.
Daniel Baumann, Paul J. Steinhardt, Keitaro Takahashi, and Kiyotomo Ichiki, “Gravitational Wave Spectrum Induced by Primordial Scalar Perturbations,” Phys. Rev. D76
2007
Earlier work this paper cites.
Kendrick M. Smith, Oliver Zahn, and Olivier Dore, “Detection of Gravitational Lensing in the Cosmic Microwave Background,” Phys. Rev. D76
Original
2007
Earlier work this paper cites.
Devdeep Sarkar, Paolo Serra, Asantha Cooray, Kiyotomo Ichiki, and Daniel Baumann, “Cosmic shear from scalar-induced gravitational waves,” Phys. Rev. D77
Original
2008
Earlier work this paper cites.

Similar

Daniel Ruijters, Bart M. ter Haar Romeny, and Paul Suetens, “Efficient GPU-Based Texture Interpolation using Uniform B-Splines,” Journal of Graphics Tools 13
2008
Cited alongside, same era.
C. Dvorkin and K. M. Smith, “Reconstructing patchy reionization from the cosmic microwave background,” Phys. Rev. D 79
Original
2009
Cited alongside, same era.
Duncan Hanson, Anthony Challinor, and Antony Lewis, “Weak lensing of the CMB,” General Relativity and Gravitation 42
Original
2010
Cited alongside, same era.
Sudeep Das et al. , “Detection of the Power Spectrum of Cosmic Microwave Background Lensing by the Atacama Cosmology Telescope,” Phys. Rev. Lett. 107
Original
2011
Cited alongside, same era.
Duncan Hanson, Anthony Challinor, George Efstathiou, and Pawel Bielewicz, “CMB temperature lensing power reconstruction,” Phys. Rev. D83

Then

P. A. R. Ade et al. (Planck), “Planck 2015 results. XV. Gravitational lensing,” Astron. Astrophys. 594
Original
2015
Later among the works it cites.
Blake D. Sherwin and Marcel Schmittfull, “Delensing the CMB with the Cosmic Infrared Background,” Phys. Rev. D92
Original
2015
Later among the works it cites.
E. J. Baxter et al. , “A Measurement of Gravitational Lensing of the Cosmic Microwave Background by Galaxy Clusters Using Data from the South Pole Telescope,” Astrophys. J. 806
Original
2015
Later among the works it cites.
Mathew Madhavacheril et al. (ACT), “Evidence of Lensing of the Cosmic Microwave Background by Dark Matter Halos,” Phys. Rev. Lett. 114
Original
2015
Later among the works it cites.
Planck Collaboration, P. A. R. Ade, N. Aghanim, M. Arnaud, M. Ashdown, J. Aumont, C. Baccigalupi, A. J. Banday, R. B. Barreiro, J. G. Bartlett, and et al., “Planck 2015 results. XV. Gravitational lensing,” Astron. Astrophys. 594

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2017

Maximum a posteriori CMB lensing reconstruction

Carron, Julien, Lewis, Antony

Understand

Gravitational lensing of the CMB is a valuable cosmological signal that correlates to tracers of large-scale structure and acts as a important source of confusion for primordial $B$-mode polarization.

State-of-the-art lensing reconstruction analyses use quadratic estimators, which are easily applicable to data.
However, these estimators are known to be suboptimal, in particular for polarization, and large improvements are expected to be possible for high signal-to-noise polarization experiments.
We develop a method and numerical code, $\rm{LensIt}$, that is able to find efficiently the most probable lensing map, introducing no significant approximations to the lensed CMB likelihood, and applicable to beamed and masked data with inhomogeneous noise.

Built on

Jorge Nocedal, “Updating quasi-newton matrices with limited storage,” Mathematics of computation 35
1980
Earlier work this paper cites.
Wayne Hu and Asantha Cooray, “Gravitational time delay effects on cosmic microwave background anisotropies,” Phys. Rev. D63
2001
Earlier work this paper cites.
W. Hu and T. Okamoto, “Mass Reconstruction with Cosmic Microwave Background Polarization,” Astrophys. J. 574
2002
Earlier work this paper cites.
Antony Lewis, Anthony Challinor, and Neil Turok, “Analysis of CMB polarization on an incomplete sky,” Phys. Rev. D65
2002
Earlier work this paper cites.
Anthony Challinor and Gayoung Chon, “Geometry of weak lensing of CMB polarization,” Phys. Rev. D66
2002
Earlier work this paper cites.
T. Okamoto and W. Hu, “Cosmic microwave background lensing reconstruction on the full sky,” Phys. Rev. D 67
2003
Earlier work this paper cites.
Takemi Okamoto and Wayne Hu, “CMB lensing reconstruction on the full sky,” Phys. Rev. D67
2003
Earlier work this paper cites.
Uros Seljak and Christopher M. Hirata, “Gravitational lensing as a contaminant of the gravity wave signal in CMB,” Phys. Rev. D69
2004
Earlier work this paper cites.
Silvia Mollerach, Diego Harari, and Sabino Matarrese, “CMB polarization from secondary vector and tensor modes,” Phys. Rev. D69
2004
Earlier work this paper cites.
K. M. Gorski, Eric Hivon, A. J. Banday, B. D. Wandelt, F. K. Hansen, M. Reinecke, and M. Bartelman, “HEALPix - A Framework for high resolution discretization, and fast analysis of data distributed on the sphere,” Astrophys. J. 622
2005
Earlier work this paper cites.
Antony Lewis, “Lensed CMB simulation and parameter estimation,” Phys. Rev. D71
2005
Earlier work this paper cites.
A. Lewis and A. Challinor, “Weak gravitational lensing of the CMB,” Phys. Rept. 429
2006
Earlier work this paper cites.
Daniel Baumann, Paul J. Steinhardt, Keitaro Takahashi, and Kiyotomo Ichiki, “Gravitational Wave Spectrum Induced by Primordial Scalar Perturbations,” Phys. Rev. D76
2007
Earlier work this paper cites.
Kendrick M. Smith, Oliver Zahn, and Olivier Dore, “Detection of Gravitational Lensing in the Cosmic Microwave Background,” Phys. Rev. D76
Original
2007
Earlier work this paper cites.
Devdeep Sarkar, Paolo Serra, Asantha Cooray, Kiyotomo Ichiki, and Daniel Baumann, “Cosmic shear from scalar-induced gravitational waves,” Phys. Rev. D77
Original
2008
Earlier work this paper cites.

Similar

Daniel Ruijters, Bart M. ter Haar Romeny, and Paul Suetens, “Efficient GPU-Based Texture Interpolation using Uniform B-Splines,” Journal of Graphics Tools 13
2008
Cited alongside, same era.
C. Dvorkin and K. M. Smith, “Reconstructing patchy reionization from the cosmic microwave background,” Phys. Rev. D 79
Original
2009
Cited alongside, same era.
Duncan Hanson, Anthony Challinor, and Antony Lewis, “Weak lensing of the CMB,” General Relativity and Gravitation 42
Original
2010
Cited alongside, same era.
Sudeep Das et al. , “Detection of the Power Spectrum of Cosmic Microwave Background Lensing by the Atacama Cosmology Telescope,” Phys. Rev. Lett. 107
Original
2011
Cited alongside, same era.
Duncan Hanson, Anthony Challinor, George Efstathiou, and Pawel Bielewicz, “CMB temperature lensing power reconstruction,” Phys. Rev. D83

Then

P. A. R. Ade et al. (Planck), “Planck 2015 results. XV. Gravitational lensing,” Astron. Astrophys. 594
Original
2015
Later among the works it cites.
Blake D. Sherwin and Marcel Schmittfull, “Delensing the CMB with the Cosmic Infrared Background,” Phys. Rev. D92
Original
2015
Later among the works it cites.
E. J. Baxter et al. , “A Measurement of Gravitational Lensing of the Cosmic Microwave Background by Galaxy Clusters Using Data from the South Pole Telescope,” Astrophys. J. 806
Original
2015
Later among the works it cites.
Mathew Madhavacheril et al. (ACT), “Evidence of Lensing of the Cosmic Microwave Background by Dark Matter Halos,” Phys. Rev. Lett. 114
Original
2015
Later among the works it cites.
Planck Collaboration, P. A. R. Ade, N. Aghanim, M. Arnaud, M. Ashdown, J. Aumont, C. Baccigalupi, A. J. Banday, R. B. Barreiro, J. G. Bartlett, and et al., “Planck 2015 results. XV. Gravitational lensing,” Astron. Astrophys. 594

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

Original

2011

Cited alongside, same era.

Ethan Anderes, Lloyd Knox, and Alexander van Engelen, “Mapping gravitational lensing of the CMB using local likelihoods,” Phys. Rev. D83

Original

2011

Cited alongside, same era.

A. van Engelen et al. , “A measurement of gravitational lensing of the microwave background using South Pole Telescope data,” Astrophys. J. 756

Original

2012

Cited alongside, same era.

Kendrick M. Smith, Duncan Hanson, Marilena LoVerde, Christopher M. Hirata, and Oliver Zahn, “Delensing CMB Polarization with External Datasets,” JCAP 1206

Original

2012

Cited alongside, same era.

Daniel Ruijters and Philippe Thévenaz, “GPU Prefilter for Accurate Cubic B-spline Interpolation,” Comput. J. 55

2012

Cited alongside, same era.

Andreas Klöckner, Nicolas Pinto, Yunsup Lee, B. Catanzaro, Paul Ivanov, and Ahmed Fasih, “PyCUDA and PyOpenCL: A Scripting-Based Approach to GPU Run-Time Code Generation,” Parallel Computing 38

2012

Cited alongside, same era.

P. A. R. Ade et al. (Planck), “Planck 2013 results. XVII. Gravitational lensing by large-scale structure,” Astron. Astrophys. 571

Original

2013

Cited alongside, same era.

P. A. R. Ade et al. (Planck), “Planck 2013 results. XVIII. The gravitational lensing-infrared background correlation,” Astron. Astrophys. 571

Original

2013

Cited alongside, same era.

Original

2016