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We present a fast iterative FFT-based reconstruction algorithm that allows for non- parallel redshift-space distortions (RSD). We test our algorithm on both N-body dark matter simulations and mock distributions of galaxies designed to…

Cosmology and Nongalactic Astrophysics · Physics 2015-08-17 Angela Burden , Will J. Percival , Cullan Howlett

In this paper, we develop a concrete algorithm for phase retrieval, which we refer to as Gauss-Newton algorithm. In short, this algorithm starts with a good initial estimation, which is obtained by a modified spectral method, and then…

Information Theory · Computer Science 2018-02-12 Bing Gao , Zhiqiang Xu

In this paper we study the reconstruction of moving object densities from undersampled dynamic X-ray tomography in two dimensions. A particular motivation of this study is to use realistic measurement protocols for practical applications,…

Numerical Analysis · Mathematics 2018-03-28 Martin Burger , Hendrik Dirks , Lena Frerking , Andreas Hauptmann , Tapio Helin , Samuli Siltanen

Cosmological information from forthcoming galaxy surveys, such as LSST and Euclid, will soon exceed that available from the CMB. Higher order correlation functions, like the bispectrum, will be indispensable for realising this potential.…

Cosmology and Nongalactic Astrophysics · Physics 2019-02-06 Johnathan Hung , James R. Fergusson , E. P. S. Shellard

Accurate knowledge of power grid topology is a prerequisite for effective state estimation and grid stability. While data-driven methods for topology reconstruction exist, the minimum requirements for measurement quality, specifically…

Physics and Society · Physics 2026-05-13 Daniel T. Speckhard

Hessian information speeds convergence substantially in motion optimization. The better the Hessian approximation the better the convergence. But how good is a given approximation theoretically? How much are we losing? This paper addresses…

Robotics · Computer Science 2016-05-31 Nathan Ratliff , Marc Toussaint , Jeannette Bohg , Stefan Schaal

We derive and numerically implement an algorithm for estimating the 3D power spectrum of the Lyman-$\alpha$ (Ly-$\alpha$) forest flux fluctuations. The algorithm exploits the unique geometry of Ly-$\alpha$ forest data to efficiently measure…

Cosmology and Nongalactic Astrophysics · Physics 2018-01-10 Andreu Font-Ribera , Patrick McDonald , Anže Slosar

Photoacoustic tomography (PAT) is a medical imaging modality that can provide high-resolution tissue images based on the optical absorption. Classical reconstruction methods for quantifying the absorption coefficients rely on sufficient…

Image and Video Processing · Electrical Eng. & Systems 2026-04-24 Anssi Manninen , Janek Gröhl , Felix Lucka , Andreas Hauptmann

Novel view synthesis (NVS) in low-light scenes remains a significant challenge due to degraded inputs characterized by severe noise, low dynamic range (LDR) and unreliable initialization. While recent NeRF-based approaches have shown…

Computer Vision and Pattern Recognition · Computer Science 2025-04-22 Hao Sun , Fenggen Yu , Huiyao Xu , Tao Zhang , Changqing Zou

In this work, we propose an improved approach to reconstruct the three-dimensional intergalactic medium from observed Lyman-$\alpha$ forest absorption features. We present our new method, the Optimized Reconstruction with Constraints on…

Astrophysics of Galaxies · Physics 2021-08-04 Zihao Li , Benjamin Horowitz , Zheng Cai

We present a comparative study of six different methods for reversing the gravitational evolution of a cosmological density field to recover the primordial fluctuations: linear theory, the Gaussianization mapping scheme, two different…

Astrophysics · Physics 2009-10-30 Vijay K. Narayanan , Rupert A. C. Croft

Mixture models with Gamma and or inverse-Gamma distributed mixture components are useful for medical image tissue segmentation or as post-hoc models for regression coefficients obtained from linear regression within a Generalised Linear…

Machine Learning · Statistics 2016-07-27 A. Llera , D. Vidaurre , R. H. R. Pruim , C. F. Beckmann

The Ly$\alpha$ forest (LAF) at $z>5$ probes the thermal and reionization history of the intergalactic medium (IGM) and the nature of dark matter, but its interpretation requires comparison to cosmological hydrodynamical simulations. At…

Cosmology and Nongalactic Astrophysics · Physics 2023-05-26 Caitlin C. Doughty , Joseph F. Hennawi , Frederick B. Davies , Zarija Lukić , Jose Oñorbe

Regression forests have long delivered state-of-the-art accuracy, often outperforming regression trees and even neural networks, but they suffer from limited interpretability as ensemble methods. In this work, we revisit forest pruning, an…

Machine Learning · Statistics 2025-03-10 Albert Dorador

The trace $\tr(q(\ma{L} + q\ma{I})^{-1})$, where $\ma{L}$ is a symmetric diagonally dominant matrix, is the quantity of interest in some machine learning problems. However, its direct computation is impractical if the matrix size is large.…

Signal Processing · Electrical Eng. & Systems 2022-09-14 Yusuf Yigit Pilavci , Pierre-Olivier Amblard , Simon Barthelme , Nicolas Tremblay

This paper focuses on efficient computational approaches to compute approximate solutions of a linear inverse problem that is contaminated with mixed Poisson--Gaussian noise, and when there are additional outliers in the measured data. The…

Numerical Analysis · Mathematics 2018-01-22 Marie Kubínová , James G. Nagy

This work blends the inexact Newton method with iterative combined approximations (ICA) for solving topology optimization problems under the assumption of geometric nonlinearity. The density-based problem formulation is solved using a…

Numerical Analysis · Mathematics 2021-12-17 Thadeu A. Senne , Francisco A. M. Gomes , Sandra A. Santos

Power grid operators typically solve large-scale, nonconvex optimal power flow (OPF) problems throughout the day to determine optimal setpoints for generators while adhering to physical constraints. Despite being at the heart of many OPF…

Optimization and Control · Mathematics 2020-11-03 Kyri Baker

Non linear regression models are a standard tool for modeling real phenomena, with several applications in machine learning, ecology, econometry... Estimating the parameters of the model has garnered a lot of attention during many years. We…

Statistics Theory · Mathematics 2020-09-17 Peggy Cénac , Antoine Godichon-Baggioni , Bruno Portier

In ground based infrared imaging a well-known technique to reduce the influence of thermal and background noise is chopping and nodding, where four different signals of the same object are recorded from which the object is reconstructed…

Astrophysics · Physics 2009-11-11 Frank Lenzen , Otmar Scherzer , Sabine Schindler