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A novel framework for designing image reconstruction algorithms for linear forward problems is proposed. The framework is based on the novel concept of conserving the information in the data during image reconstruction rather than…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Keith S Cover

We calculate the non-linear galaxy power spectrum in real space, including non-linear distortion of the Baryon Acoustic Oscillations, using the standard 3rd-order perturbation theory (PT). The calculation is based upon the assumption that…

Astrophysics · Physics 2009-10-02 Donghui Jeong , Eiichiro Komatsu

Reconstruction of displaced vertices is a cornerstone of both precision flavour physics and searches for long-lived particles (LLPs) at colliders. While existing vertexing algorithms are highly optimised for primary and short-lived…

High Energy Physics - Phenomenology · Physics 2025-10-02 Jonathan Kriewald

Perturbation theory is an indispensable tool for studying the cosmic large-scale structure, and establishing its limits is therefore of utmost importance. One crucial limitation of perturbation theory is shell-crossing, which is the…

Cosmology and Nongalactic Astrophysics · Physics 2021-06-25 Cornelius Rampf , Oliver Hahn

The structure and potential of a complex gravitational lens is reconstructed using the perturbative method presented in Alard 2007, MNRAS, 382L, 58; Alard 2008, MNRAS, 388, 375. This lens is composed of 6 galaxies belonging to a small…

Astrophysics of Galaxies · Physics 2015-05-13 C. Alard

We present a method for reconstructing cosmological densityn for and velocity fields using the Lagrangian Zel'dovich formalism. . The method involves finding the least action solution for straight line particle paths in an evolving density…

Astrophysics · Physics 2015-06-24 R. A. C. Croft , E. Gaztanaga

In Optical diffraction tomography, the multiply scattered field is a nonlinear function of the refractive index of the object. The Rytov method is a linear approximation of the forward model, and is commonly used to reconstruct images.…

Nonlinear gravitational evolution induces strong nonlinearities in the observed cosmological density fields, leading to positive off-diagonal correlations in the power spectrum covariance. This has caused the information saturation in the…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-29 Shi-Hui Zang , Hong-Ming Zhu

Over the next decade, cosmological measurements of the large-scale structure of the Universe will be sensitive to the combined effects of dynamical dark energy and massive neutrinos. The matter power spectrum is a key repository of this…

Cosmology and Nongalactic Astrophysics · Physics 2014-05-21 Amol Upadhye , Rahul Biswas , Adrian Pope , Katrin Heitmann , Salman Habib , Hal Finkel , Nicholas Frontiere

We present a formalism to compute Lagrangian displacement fields for a wide range of cosmologies in the context of perturbation theory up to third order. We emphasize the case of theories with scale dependent gravitational strengths, such…

Cosmology and Nongalactic Astrophysics · Physics 2018-01-16 Alejandro Aviles , Jorge L. Cervantes-Cota

A new computational paradigm for the analysis of substructure of the Cosmic Web in cosmological cold dark matter simulations is proposed. We introduce a new data-field --- the flip-flop field ---which carries wealth of information about the…

Cosmology and Nongalactic Astrophysics · Physics 2014-09-29 Sergei F. Shandarin , Mikhail V. Medvedev

Model-based learned iterative reconstruction methods have recently been shown to outperform classical reconstruction algorithms. Applicability of these methods to large scale inverse problems is however limited by the available memory for…

Image and Video Processing · Electrical Eng. & Systems 2020-04-21 Andreas Hauptmann , Jonas Adler , Simon Arridge , Ozan Öktem

The cosmic vorticity field, an essential tracer of nonlinear structure formation, has remained observationally inaccessible because transverse galaxy motions are difficult to measure and analytic models struggle to capture shell-crossing.…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-17 Ziyong Wu , Xu Xiao , Fuyu Dong , Juhan Kim , Yan-Chuan Cai , Yang Wang , Xi Kang , Le Zhang , Xin Wang , Xiao-Dong Li

The long wavelength modes lost to bright foregrounds in the interferometric 21-cm surveys can partially be recovered using a forward modeling approach that exploits the non-linear coupling between small and large scales induced by…

Cosmology and Nongalactic Astrophysics · Physics 2021-10-27 Chirag Modi , Martin White , Emanuele Castorina , Anže Slosar

The combination of two- and three-point clustering statistics of galaxies and the underlying matter distribution has the potential to break degeneracies between cosmological parameters and nuisance parameters and can lead to significantly…

Cosmology and Nongalactic Astrophysics · Physics 2021-03-17 Oliver Leicht , Tobias Baldauf , James Fergusson , Paul Shellard

In this work we expand upon the Tomographic Absorption Reconstruction and Density Inference Scheme (TARDIS) in order to include multiple tracers while reconstructing matter density fields at Cosmic Noon (z ~ 2-3). In particular, we jointly…

Cosmology and Nongalactic Astrophysics · Physics 2021-02-26 Benjamin Horowitz , Benjamin Zhang , Khee-Gan Lee , Robin Kooistra

The evolved cosmological matter density field is fully determined by the initial matter density field at fixed cosmological parameters. However, the two-dimensional cosmological projected matter density field, relevant for weak-lensing and…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-17 Kevin Hong , Rugved Pund , Anže Slosar

We explore the relationship between the nonlinear matter power spectrum and the various Lagrangian and Standard Perturbation Theories (LPT and SPT). We first look at it in the context of one dimensional (1-d) dynamics, where 1LPT is exact…

Cosmology and Nongalactic Astrophysics · Physics 2016-05-03 Zvonimir Vlah , Uroš Seljak , Man Yat Chu , Yu Feng

We present Large Inverse Rendering Model (LIRM), a transformer architecture that jointly reconstructs high-quality shape, materials, and radiance fields with view-dependent effects in less than a second. Our model builds upon the recent…

Computer Vision and Pattern Recognition · Computer Science 2025-04-29 Zhengqin Li , Dilin Wang , Ka Chen , Zhaoyang Lv , Thu Nguyen-Phuoc , Milim Lee , Jia-Bin Huang , Lei Xiao , Cheng Zhang , Yufeng Zhu , Carl S. Marshall , Yufeng Ren , Richard Newcombe , Zhao Dong

We present the linear inverse redshift space operator which maps the galaxy density field derived from redshift surveys from redshift space to real space. Expressions are presented for observers in both the CMBR and Local Group rest frames.…

Astrophysics · Physics 2009-10-31 Andy Taylor , Helen Valentine