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Earth system models (ESMs), which simulate the physics and chemistry of the global atmosphere, land, and ocean, are often used to generate future projections of climate change scenarios. These models are far too computationally intensive to…

Neural and Evolutionary Computing · Computer Science 2020-11-25 Alexandra Puchko , Robert Link , Brian Hutchinson , Ben Kravitz , Abigail Snyder

Deep learning is a hierarchical inference method formed by subsequent multiple layers of learning able to more efficiently describe complex relationships. In this work, Deep Gaussian Mixture Models are introduced and discussed. A Deep…

Machine Learning · Statistics 2017-11-21 Cinzia Viroli , Geoffrey J. McLachlan

We propose a partially linear additive Gaussian graphical model (PLA-GGM) for the estimation of associations between random variables distorted by observed confounders. Model parameters are estimated using an $L_1$-regularized maximal…

Machine Learning · Computer Science 2019-06-11 Sinong Geng , Minhao Yan , Mladen Kolar , Oluwasanmi Koyejo

The next generation of cosmology experiments will be required to use photometric redshifts rather than spectroscopic redshifts. Obtaining accurate and well-characterized photometric redshift distributions is therefore critical for Euclid,…

Instrumentation and Methods for Astrophysics · Physics 2025-06-03 Ibrahim A. Almosallam , Matt J. Jarvis , Stephen J. Roberts

In this paper, we address the problem of how to robustly train a ConvNet for regression, or deep robust regression. Traditionally, deep regression employs the L2 loss function, known to be sensitive to outliers, i.e. samples that either lie…

Computer Vision and Pattern Recognition · Computer Science 2018-08-29 Stéphane Lathuilière , Pablo Mesejo , Xavier Alameda-Pineda , Radu Horaud

The Gaussian mixture model is widely used in unsupervised learning, owing to its simplicity and interpretability. However, a fundamental limitation of the classical Gaussian mixture model is that it forces each observation to belong to…

Machine Learning · Statistics 2026-04-27 Huan Qing

Measurements of the Ly$\alpha$ forest based on large numbers of quasar spectra from sky surveys such as SDSS/eBOSS accurately probe the distribution of matter on small scales and thus provide important constraints on several ingredients of…

Cosmology and Nongalactic Astrophysics · Physics 2021-04-22 Michael Walther , Eric Armengaud , Corentin Ravoux , Nathalie Palanque-Delabrouille , Christophe Yèche , Zarija Lukić

This work proposes a scalable probabilistic latent variable model based on Gaussian processes (Lawrence, 2004) in the context of multiple observation spaces. We focus on an application in astrophysics where data sets typically contain both…

Astrophysics of Galaxies · Physics 2025-02-28 Vidhi Lalchand , Anna-Christina Eilers

Do expert-defined or diagnostically-labeled data groups align with clusters inferred through statistical modeling? If not, where do discrepancies between predefined labels and model-based groupings occur and why? In this work, we introduce…

Methodology · Statistics 2026-03-18 Patricia Puchhammer , Ines Wilms , Peter Filzmoser

The next generation of Department of Energy supercomputers will be capable of exascale computation. For these machines, far more computation will be possible than that which can be saved to disk. As a result, users will be unable to rely on…

Machine Learning · Computer Science 2025-07-23 Michael Grosskopf , Kellin Rumsey , Ayan Biswas , Earl Lawrence

Standard random-effects meta-analysis relies heavily on the assumption that the underlying true effects are normally distributed. In the social sciences, where evidence synthesis increasingly involves large, highly heterogeneous datasets,…

Methodology · Statistics 2026-05-01 Daihe Sui , Elizabeth Tipton

Complex computer codes are widely used in science to model physical systems. Sensitivity analysis aims to measure the contributions of the inputs on the code output variability. An efficient tool to perform such analysis are the…

Statistics Theory · Mathematics 2013-10-15 Gaëlle Chastaing , Loic Le Gratiet

In this letter, we propose a Gaussian mixture model (GMM)-based channel estimator which is learned on imperfect training data, i.e., the training data are solely comprised of noisy and sparsely allocated pilot observations. In a practical…

Signal Processing · Electrical Eng. & Systems 2023-02-14 Benedikt Fesl , Nurettin Turan , Michael Joham , Wolfgang Utschick

Gaussian process models are commonly used as emulators for computer experiments. However, developing a Gaussian process emulator can be computationally prohibitive when the number of experimental samples is even moderately large. Local…

Methodology · Statistics 2018-09-26 Chih-Li Sung , Robert B. Gramacy , Benjamin Haaland

3D Gaussian Splatting has made a marked impact on neural rendering by achieving impressive fidelity and performance. Despite this achievement, however, it is not readily applicable to developing interactive applications. Real-time…

Graphics · Computer Science 2024-03-01 Xiangzhi Eric Wang , Zackary P. T. Sin

We present GalSBI, a phenomenological model of the galaxy population for cosmological applications using simulation-based inference. The model is based on analytical parametrizations of galaxy luminosity functions, morphologies and spectral…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-09 Silvan Fischbacher , Tomasz Kacprzak , Luca Tortorelli , Beatrice Moser , Alexandre Refregier , Patrick Gebhardt , Daniel Gruen

Gaussian processes are ubiquitous as the primary tool for modeling spatial data. However, the Gaussian process is limited by its $\mathcal{O}(n^3)$ cost, making direct parameter fitting algorithms infeasible for the scale of modern data…

Methodology · Statistics 2025-12-25 Ashlynn Crisp , Daniel Taylor-Rodriguez , Andrew O. Finley

Feedback from supernovae and AGN shapes galaxy formation and evolution, yet its impact remains unclear. Galaxy groups offer a crucial probe, as their binding energy is comparable to that available from their central AGN. The XMM-Newton…

Inspired by the success of Convolutional Neural Networks (CNNs) for supervised prediction in images, we design the Deconvolutional Generative Model (DGM), a new probabilistic generative model whose inference calculations correspond to those…

Computer Vision and Pattern Recognition · Computer Science 2019-12-10 Tan Nguyen , Nhat Ho , Ankit Patel , Anima Anandkumar , Michael I. Jordan , Richard G. Baraniuk

Data derived from remote sensing or numerical simulations often have a regular gridded structure and are large in volume, making it challenging to find accurate spatial models that can fill in missing grid cells or simulate the process…

Machine Learning · Statistics 2025-05-07 Sweta Rai , Douglas W. Nychka , Soutir Bandyopadhyay