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Bayesian neural networks (BNNs) have recently regained a significant amount of attention in the deep learning community due to the development of scalable approximate Bayesian inference techniques. There are several advantages of using a…

Machine Learning · Statistics 2023-05-02 Aliaksandr Hubin , Geir Storvik

In this study, we investigate deviations from the Planck-$\Lambda$CDM model in the late universe ($z \lesssim 2.5$) using the Gaussian Processes method, with minimal assumptions. Our goal is to understand where exploring new physics in the…

Cosmology and Nongalactic Astrophysics · Physics 2024-07-18 Miguel A. Sabogal , Özgür Akarsu , Alexander Bonilla , Eleonora Di Valentino , Rafael C. Nunes

We present a numerical framework for deep neural network (DNN) modeling of unknown time-dependent partial differential equations (PDE) using their trajectory data. Unlike the recent work of [Wu and Xiu, J. Comput. Phys. 2020], where the…

Machine Learning · Computer Science 2021-11-24 Zhen Chen , Victor Churchill , Kailiang Wu , Dongbin Xiu

We propose a methodology that combines generative latent diffusion models with physics-informed machine learning to generate solutions of parametric partial differential equations (PDEs) conditioned on partial observations, which includes,…

Machine Learning · Computer Science 2026-02-11 Davide Gallon , Philippe von Wurstemberger , Patrick Cheridito , Arnulf Jentzen

In this paper, we develop a deep learning approach for the accurate solution of challenging problems of near-field microscopy that leverages the powerful framework of physics-informed neural networks (PINNs) for the inversion of the complex…

Optics · Physics 2024-06-12 Yuyao Chen , Luca Dal Negro

Parameter inference is a fundamental problem in data-driven modeling. Given observed data that is believed to be a realization of some parameterized model, the aim is to find parameter values that are able to explain the observed data. In…

Data Structures and Algorithms · Computer Science 2016-04-20 Carlo Albert , Simone Ulzega , Ruedi Stoop

We continue studies of the uncertainty quantification problem in emission tomographies such as PET or SPECT when additional multimodal data (e.g., anatomical MRI images) are available. To solve the aforementioned problem we adapt the…

Machine Learning · Statistics 2021-12-03 Fedor Goncharov , Éric Barat , Thomas Dautremer

The $\Lambda$CDM model has long served as the cornerstone of modern cosmology, offering an elegant and successful framework for interpreting a wide range of cosmological observations. However, the rise of high-precision datasets has…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-01 Manish Yadav , Archana Dixit , Anirudh Pradhan , M S Barak

In this paper, we conduct a statistical analysis of various cosmological models within the framework of f (R) gravity theories, motivated by persistent challenges in modern cosmology, such as the unknown mechanisms driving the late-time…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-04 Francisco Plaza , Lucila Kraiselburd

The Dark Energy Survey (DES) recently released the final results of its two principal probes of the expansion history: Type Ia Supernovae (SNe) and Baryonic Acoustic Oscillations (BAO). We explore the cosmological implications of these data…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-04 DES Collaboration , T. M. C. Abbott , M. Acevedo , M. Adamow , M. Aguena , A. Alarcon , S. Allam , O. Alves , F. Andrade-Oliveira , J. Annis , P. Armstrong , S. Avila , D. Bacon , K. Bechtol , J. Blazek , S. Bocquet , D. Brooks , D. Brout , D. L. Burke , H. Camacho , R. Camilleri , G. Campailla , A. Carnero Rosell , A. Carr , J. Carretero , F. J. Castander , R. Cawthon , K. C. Chan , C. Chang , R. Chen , C. Conselice , M. Costanzi , M. Crocce , L. N. da Costa , M. E. S. Pereira , T. M. Davis , J. De Vicente , N. Deiosso , S. Desai , H. T. Diehl , S. Dodelson , C. Doux , A. Drlica-Wagner , J. Elvin-Poole , S. Everett , I. Ferrero , A. Ferté , B. Flaugher , J. Frieman , L. Galbany , J. García-Bellido , M. Gatti , E. Gaztanaga , G. Giannini , D. Gruen , R. A. Gruendl , G. Gutierrez , W. G. Hartley , K. Herner , S. R. Hinton , D. L. Hollowood , K. Honscheid , D. Huterer , D. J. James , N. Jeffrey , T. Jeltema , R. Kessler , O. Lahav , J. Lee , S. Lee , C. Lidman , H. Lin , M. Lin , J. L. Marshall , J. Mena-Fernández , R. Miquel , J. Muir , A. Möller , R. C. Nichol , A. Palmese , M. Paterno , W. J. Percival , A. Pieres , A. A. Plazas Malagón , B. Popovic , A. Porredon , J. Prat , H. Qu , M. Raveri , M. Rodriguez-Monroy , A. K. Romer , E. S. Rykoff , M. Sako , S. Samuroff , E. Sanchez , D. Sanchez Cid , D. Scolnic , I. Sevilla-Noarbe , P. Shah , E. Sheldon , M. Smith , E. Suchyta , M. Sullivan , M. E. C. Swanson , B. O. Sánchez , G. Tarle , G. Taylor , D. Thomas , C. To , L. Toribio San Cipriano , M. Toy , M. A. Troxel , D. L. Tucker , V. Vikram , M. Vincenzi , A. R. Walker , N. Weaverdyck , J. Weller , P. Wiseman , M. Yamamoto , B. Yanny

This work is focussed on the inversion task of inferring the distribution over parameters of interest leading to multiple sets of observations. The potential to solve such distributional inversion problems is driven by increasing…

Machine Learning · Statistics 2026-05-06 Arnaud Vadeboncoeur , Mark Girolami , Andrew M. Stuart

We present updated constraints on cosmological parameters in a 12-parameter model, extending the standard six-parameter $\Lambda$CDM by including dynamical dark energy (DE: $w_0$, $w_a$), the sum of neutrino masses ($\sum m_{\nu}$), the…

Cosmology and Nongalactic Astrophysics · Physics 2024-11-19 Shouvik Roy Choudhury , Teppei Okumura

We present a neural net algorithm for parameter estimation in the context of large cosmological data sets. Cosmological data sets present a particular challenge to pattern-recognition algorithms since the input patterns (galaxy redshift…

Astrophysics · Physics 2007-05-23 Nicholas G. Phillips , A. Kogut

A significant advancement in Neural Network (NN) research is the integration of domain-specific knowledge through custom loss functions. This approach addresses a crucial challenge: how can models utilize physics or mathematical principles…

Machine Learning · Computer Science 2025-03-27 Seyedeh Azadeh Fallah Mortezanejad , Ruochen Wang , Ali Mohammad-Djafari

Modern machine learning will allow for simulation-based inference from reionization-era 21cm observations at the Square Kilometre Array. Our framework combines a convolutional summary network and a conditional invertible network through a…

Cosmology and Nongalactic Astrophysics · Physics 2025-04-16 Benedikt Schosser , Caroline Heneka , Tilman Plehn

While deep learning offers powerful capabilities for scientific research, its application is often hindered by a lack of quantitative reliability. To address this, we introduce a probabilistic denoising framework that simultaneously…

Strongly Correlated Electrons · Physics 2026-05-11 Younsik Kim , Changyoung Kim

This work reexamines cosmological parameter constraints from the DESI Data Release 2 baryon acoustic oscillation (BAO) measurements using the distance-basis representation (D_V/r_d, D_M/D_H), which separates the isotropic BAO scale from the…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-02 Seokcheon Lee

We propose a light-weight deep convolutional neural network (CNN) to estimate the cosmological parameters from simulated 3-dimensional dark matter distributions with high accuracy. The training set is based on 465 realizations of a cubic…

Cosmology and Nongalactic Astrophysics · Physics 2020-06-11 Shuyang Pan , Miaoxin Liu , Jaime Forero-Romero , Cristiano G. Sabiu , Zhigang Li , Haitao Miao , Xiao-Dong Li

Cosmic microwave background radiation (CMB) is critical to the understanding of the early universe and precise estimation of cosmological constants. Due to the contamination of thermal dust noise in the galaxy, the CMB map that is an image…

Image and Video Processing · Electrical Eng. & Systems 2020-02-03 Kai Yi , Yi Guo , Yanan Fan , Jan Hamann , Yu Guang Wang

Many analyses in particle and nuclear physics use simulations to infer fundamental, effective, or phenomenological parameters of the underlying physics models. When the inference is performed with unfolded cross sections, the observables…

Data Analysis, Statistics and Probability · Physics 2024-09-19 Owen Long , Benjamin Nachman
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