Publications (21)
Cosmic Calibration: Constraints from the Matter Power Spectrum and the Cosmic Microwave Background
Salman Habib, Katrin Heitmann, David Higdon +2
Several cosmological measurements have attained significant levels of maturity and accuracy over the last decade. Continuing this trend, future observations promise measurements of…
Active Learning for Deep Gaussian Process Surrogates
Annie Sauer, Robert B. Gramacy, David Higdon
Deep Gaussian processes (DGPs) are increasingly popular as predictive models in machine learning (ML) for their non-stationary flexibility and ability to cope with abrupt regime ch…
The Mira-Titan Universe II: Matter Power Spectrum Emulation
Earl Lawrence, Katrin Heitmann, Juliana Kwan +7
We introduce a new cosmic emulator for the matter power spectrum covering eight cosmological parameters. Targeted at optical surveys, the emulator provides accurate predictions out…
Nonparametric Dark Energy Reconstruction from Supernova Data
Tracy Holsclaw, Ujjaini Alam, Bruno Sanso +4
Understanding the origin of the accelerated expansion of the Universe poses one of the greatest challenges in physics today. Lacking a compelling fundamental theory to test, observ…
Analyzing Stochastic Computer Models: A Review with Opportunities
Evan Baker, Pierre Barbillon, Arindam Fadikar +10
In modern science, computer models are often used to understand complex phenomena, and a thriving statistical community has grown around analyzing them. This review aims to bring a…
Bayesian Deep Gaussian Processes for Correlated Functional Data: A Case Study in Cosmological Matter Power Spectra
Stephen A. Walsh, Annie S. Booth, David Higdon +3
Understanding the structure of our universe and the distribution of matter is an area of active research. As cosmological surveys grow in complexity, the development of emulators t…
Towards Improved Uncertainty Quantification of Stochastic Epidemic Models Using Sequential Monte Carlo
Arindam Fadikar, Abby Stevens, Nicholson Collier +6
Sequential Monte Carlo (SMC) algorithms represent a suite of robust computational methodologies utilized for state estimation and parameter inference within dynamical systems, part…
Simulations and cosmological inference: A statistical model for power spectra means and covariances
Michael D. Schneider, Lloyd Knox, Salman Habib +3
We describe an approximate statistical model for the sample variance distribution of the non-linear matter power spectrum that can be calibrated from limited numbers of simulations…
Cosmic Calibration
Katrin Heitmann, David Higdon, Charles Nakhleh +1
The complexity and accuracy of current and future precision cosmology observational campaigns has made it essential to develop an efficient technique for directly combining simulat…
Nonlinear and Nonequilibrium Dynamics in Geomaterials
James A. TenCate, Donatella Pasqualini, Salman Habib +3
The transition from linear to nonlinear dynamical elasticity in rocks is of considerable interest in seismic wave propagation as well as in understanding the basic dynamical proces…
Rational approximation and intrinsic Gaussian processes
Christopher Beattie, David Higdon, Leanna House +2
Gaussian processes (GPs) defined through intrinsic random fields provide a flexible framework for modeling spatial phenomena, and have been advocated in a variety of applications o…
The Coyote Universe I: Precision Determination of the Nonlinear Matter Power Spectrum
Katrin Heitmann, Martin White, Christian Wagner +2
Near-future cosmological observations targeted at investigations of dark energy pose stringent requirements on the accuracy of theoretical predictions for the clustering of matter.…
The Mira-Titan Universe: Precision Predictions for Dark Energy Surveys
Katrin Heitmann, Derek Bingham, Earl Lawrence +8
Ground and space-based sky surveys enable powerful cosmological probes based on measurements of galaxy properties and the distribution of galaxies in the Universe. These probes inc…
The Coyote Universe III: Simulation Suite and Precision Emulator for the Nonlinear Matter Power Spectrum
Earl Lawrence, Katrin Heitmann, Martin White +4
Many of the most exciting questions in astrophysics and cosmology, including the majority of observational probes of dark energy, rely on an understanding of the nonlinear regime o…
The Mira-Titan Universe IV. High Precision Power Spectrum Emulation
Kelly R. Moran, Katrin Heitmann, Earl Lawrence +6
Modern cosmological surveys are delivering datasets characterized by unprecedented quality and statistical completeness; this trend is expected to continue into the future as new g…
Nonequilibrium and Nonlinear Dynamics in Geomaterials I : The Low Strain Regime
Donatella Pasqualini, Katrin Heitmann, James A. TenCate +3
Members of a wide class of geomaterials are known to display complex and fascinating nonlinear and nonequilibrium dynamical behaviors over a wide range of bulk strains, down to sur…
Nonparametric Reconstruction of the Dark Energy Equation of State
Tracy Holsclaw, Ujjaini Alam, Bruno Sanso +4
A basic aim of ongoing and upcoming cosmological surveys is to unravel the mystery of dark energy. In the absence of a compelling theory to test, a natural approach is to better ch…
Bayesian "Deep" Process Convolutions: An Application in Cosmology
Kelly R. Moran, Richard Payne, Earl Lawrence +7
The nonlinear matter power spectrum in cosmology describes how matter density fluctuations vary with scale in the universe, providing critical insights into large-scale structure f…
The Coyote Universe II: Cosmological Models and Precision Emulation of the Nonlinear Matter Power Spectrum
Katrin Heitmann, David Higdon, Martin White +3
The power spectrum of density fluctuations is a foundational source of cosmological information. Precision cosmological probes targeted primarily at investigations of dark energy r…
The Coyote Universe Extended: Precision Emulation of the Matter Power Spectrum
Katrin Heitmann, Earl Lawrence, Juliana Kwan +2
Modern sky surveys are returning precision measurements of cosmological statistics such as weak lensing shear correlations, the distribution of galaxies, and cluster abundance. To…
Nonparametric Reconstruction of the Dark Energy Equation of State from Diverse Data Sets
Tracy Holsclaw, Ujjaini Alam, Bruno Sanso +4
The cause of the accelerated expansion of the Universe poses one of the most fundamental questions in physics today. In the absence of a compelling theory to explain the observatio…