Search Results for author: Benjamin D. Wandelt

Found 15 papers, 12 papers with code

syren-halofit: A fast, interpretable, high-precision formula for the $Λ$CDM nonlinear matter power spectrum

1 code implementation27 Feb 2024 Deaglan J. Bartlett, Benjamin D. Wandelt, Matteo Zennaro, Pedro G. Ferreira, Harry Desmond

Our symbolic expressions for $k_\sigma$, $n_{\rm eff}$ and $C$ have root mean squared fractional errors of 0. 8%, 0. 2% and 0. 3%, respectively, for redshifts below 3 and a wide range of cosmologies.

regression Symbolic Regression

A precise symbolic emulator of the linear matter power spectrum

1 code implementation27 Nov 2023 Deaglan J. Bartlett, Lukas Kammerer, Gabriel Kronberger, Harry Desmond, Pedro G. Ferreira, Benjamin D. Wandelt, Bogdan Burlacu, David Alonso, Matteo Zennaro

We obtain an analytic approximation to the linear power spectrum with a root mean squared fractional error of 0. 2% between $k = 9\times10^{-3} - 9 \, h{\rm \, Mpc^{-1}}$ and across a wide range of cosmological parameters, and we provide physical interpretations for various terms in the expression.

Symbolic Regression

Evidence Networks: simple losses for fast, amortized, neural Bayesian model comparison

1 code implementation18 May 2023 Niall Jeffrey, Benjamin D. Wandelt

Multiple real-world and synthetic examples illustrate that Evidence Networks are explicitly independent of dimensionality of the parameter space and scale mildly with the complexity of the posterior probability density function.

Density Estimation

The Cosmic Graph: Optimal Information Extraction from Large-Scale Structure using Catalogues

1 code implementation11 Jul 2022 T. Lucas Makinen, Tom Charnock, Pablo Lemos, Natalia Porqueres, Alan Heavens, Benjamin D. Wandelt

We a) demonstrate the high sensitivity of modular graph structure to the underlying cosmology in the noise-free limit, b) show that graph neural network summaries automatically combine mass and clustering information through comparisons to traditional statistics, c) demonstrate that networks can still extract information when catalogues are subject to noisy survey cuts, and d) illustrate how nonlinear IMNN summaries can be used as asymptotically optimal compressed statistics for Bayesian simulation-based inference.

Clustering

Neural networks as optimal estimators to marginalize over baryonic effects

no code implementations11 Nov 2020 Francisco Villaescusa-Navarro, Benjamin D. Wandelt, Daniel Anglés-Alcázar, Shy Genel, Jose Manuel Zorrilla Mantilla, Shirley Ho, David N. Spergel

For this data, we show that neural networks can 1) extract the maximum available cosmological information, 2) marginalize over baryonic effects, and 3) extract cosmological information that is buried in the regime dominated by baryonic physics.

Cosmology and Nongalactic Astrophysics Astrophysics of Galaxies Instrumentation and Methods for Astrophysics

Perfectly parallel cosmological simulations using spatial comoving Lagrangian acceleration

1 code implementation10 Mar 2020 Florent Leclercq, Baptiste Faure, Guilhem Lavaux, Benjamin D. Wandelt, Andrew H. Jaffe, Alan F. Heavens, Will J. Percival, Camille Noûs

Existing cosmological simulation methods lack a high degree of parallelism due to the long-range nature of the gravitational force, which limits the size of simulations that can be run at high resolution.

Cosmology and Nongalactic Astrophysics Instrumentation and Methods for Astrophysics

Super-resolution emulator of cosmological simulations using deep physical models

1 code implementation15 Jan 2020 Doogesh Kodi Ramanah, Tom Charnock, Francisco Villaescusa-Navarro, Benjamin D. Wandelt

We present an extension of our recently developed Wasserstein optimized model to emulate accurate high-resolution features from computationally cheaper low-resolution cosmological simulations.

Cosmology and Nongalactic Astrophysics

SSSpaNG! Stellar Spectra as Sparse, data-driven, Non-Gaussian processes

1 code implementation19 Dec 2019 Stephen M. Feeney, Benjamin D. Wandelt, Melissa K. Ness

With this in mind, we introduce SSSpaNG: a data-driven Gaussian Process model of stellar spectra.

Solar and Stellar Astrophysics Astrophysics of Galaxies Instrumentation and Methods for Astrophysics

Neural physical engines for inferring the halo mass distribution function

1 code implementation13 Sep 2019 Tom Charnock, Guilhem Lavaux, Benjamin D. Wandelt, Supranta Sarma Boruah, Jens Jasche, Michael J. Hudson

Here we demonstrate a method for determining the halo mass distribution function by learning the tracer bias between density fields and halo catalogues using a neural bias model.

Cosmology and Nongalactic Astrophysics Instrumentation and Methods for Astrophysics

Automatic physical inference with information maximising neural networks

4 code implementations10 Feb 2018 Tom Charnock, Guilhem Lavaux, Benjamin D. Wandelt

We anticipate that the automatic physical inference method described in this paper will be essential to obtain both accurate and precise cosmological parameter estimates from complex and large astronomical data sets, including those from LSST and Euclid.

Instrumentation and Methods for Astrophysics

Computing High Accuracy Power Spectra with Pico

1 code implementation2 Dec 2007 William A. Fendt, Benjamin D. Wandelt

This paper presents the second release of Pico (Parameters for the Impatient COsmologist).

Distributed Computing PICO +1

Pico: Parameters for the Impatient Cosmologist

1 code implementation29 Jun 2006 William A. Fendt, Benjamin D. Wandelt

In this paper, we demonstrate that using Pico to compute power spectra and likelihoods produces parameter posteriors that are very similar to those using CAMB and the official WMAP3 code, but in only a fraction of the time.

astro-ph

Fast Convolution on the Sphere

no code implementations16 Aug 2000 Benjamin D. Wandelt, Krzysztof M. Gorski

We propose fast, exact and efficient algorithms for the convolution of two arbitrary functions on the sphere which speed up computations by a factor \order{\sqrt{N}} compared to present methods where $N$ is the number of pixels.

astro-ph

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