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In the procedure of constraining the cosmological parameters with the observational Hubble data and the type Ia supernova data, the combination of Masked Autoregressive Flow and Denoising Autoencoder can perform a good result. The above…

Cosmology and Nongalactic Astrophysics · Physics 2023-03-22 Jie-Feng Chen , Yu-Chen Wang , Tingting Zhang , Tong-Jie Zhang

In this paper, we introduce Neural Probabilistic Soft Logic (NeuPSL), a novel neuro-symbolic (NeSy) framework that unites state-of-the-art symbolic reasoning with the low-level perception of deep neural networks. To model the boundary…

Machine Learning · Computer Science 2023-05-24 Connor Pryor , Charles Dickens , Eriq Augustine , Alon Albalak , William Wang , Lise Getoor

Existing machine learning models of weather variability are not formulated to enable assessment of their response to varying external boundary conditions such as sea surface temperature and greenhouse gases. Here we present ACE2 (Ai2…

Quantitative remote sensing inversion aims to estimate continuous surface variables-such as biomass, vegetation indices, and evapotranspiration-from satellite observations, supporting applications in ecosystem monitoring, carbon accounting,…

Computer Vision and Pattern Recognition · Computer Science 2025-07-15 Zhenyu Yu , Mohd Yamani Idna Idris , Hua Wang , Pei Wang , Junyi Chen , Kun Wang

Neurosymbolic AI aims to integrate deep learning with symbolic AI. This integration has many promises, such as decreasing the amount of data required to train a neural network, improving the explainability and interpretability of answers…

Artificial Intelligence · Computer Science 2024-01-22 Emile van Krieken

We present a Bayesian machine learning architecture that combines a physically motivated parametrization and an analytic error model for the likelihood with a deep generative model providing a powerful data-driven prior for complex signals.…

Instrumentation and Methods for Astrophysics · Physics 2019-12-10 Francois Lanusse , Peter Melchior , Fred Moolekamp

[RETRACTED]Data increasingly abounds, but distilling their underlying relationships down to something interpretable remains challenging. One approach is genetic programming, which `symbolically regresses' a data set down into an equation.…

Neural and Evolutionary Computing · Computer Science 2025-10-23 Amanda Bertschinger , James Bagrow , Joshua Bongard

Numerical discretisations of partial differential equations (PDEs) can be written as discrete convolutions, which, themselves, are a key tool in AI libraries and used in convolutional neural networks (CNNs). We therefore propose to…

Fluid Dynamics · Physics 2025-11-06 Boyang Chen , Claire E. Heaney , Christopher C. Pain

Given the rarity of significant solar flares compared to smaller ones, training effective machine learning models for solar activity forecasting is challenging due to insufficient data. This study proposes using generative deep learning…

Solar and Stellar Astrophysics · Physics 2024-04-04 Francesco P. Ramunno , S. Hackstein , V. Kinakh , M. Drozdova , G. Quetant , A. Csillaghy , S. Voloshynovskiy

We are interested in the approximation of partial differential equations with a data-driven approach based on the reduced basis method and machine learning. We suppose that the phenomenon of interest can be modeled by a parametrized partial…

Numerical Analysis · Computer Science 2020-06-24 Niccolò Dal Santo , Simone Deparis , Luca Pegolotti

Symbolic regression searches for analytic expressions that accurately describe studied phenomena. The main attraction of this approach is that it returns an interpretable model that can be insightful to users. Historically, the majority of…

Tokens are discrete representations that allow modern deep learning to scale by transforming high-dimensional data into sequences that can be efficiently learned, generated, and generalized to new tasks. These have become foundational for…

Computer Vision and Pattern Recognition · Computer Science 2026-02-05 Levi Lingsch , Georgios Kissas , Johannes Jakubik , Siddhartha Mishra

Soft robots offer unmatched adaptability and safety in unstructured environments, yet their compliant, high-dimensional, and nonlinear dynamics make modeling for control notoriously difficult. Existing data-driven approaches often fail to…

Robotics · Computer Science 2025-11-03 Hehui Zheng , Bhavya Sukhija , Chenhao Li , Klemens Iten , Andreas Krause , Robert K. Katzschmann

Symbolic Regression (SR) offers an interpretable alternative to conventional Machine-Learning (ML) approaches, which are often criticized as ``black boxes''. In contrast to standard regression models that require a prescribed functional…

Artificial Intelligence · Computer Science 2026-05-05 Theofanis Aravanis , Grigorios Chrimatopoulos , Mohammad Ferdows , Michalis Xenos , Efstratios Em Tzirtzilakis

We study the modeling and prediction of dynamical systems based on conventional models derived from measurements. Such algorithms are highly desirable in situations where the underlying dynamics are hard to model from physical principles or…

Data Analysis, Statistics and Probability · Physics 2016-08-03 Markus Quade , Markus Abel , Kamran Shafi , Robert K. Niven , Bernd R. Noack

Ground-motion model (GMM) is the basis of many earthquake engineering studies. In this study, a novel physics-informed symbolic learner (PISL) method based on the Nest Generation Attenuation-West2 database is proposed to automatically…

Machine Learning · Computer Science 2023-03-27 Su Chen , Xianwei Liu , Lei Fu , Suyang Wang , Bin Zhang , Xiaojun Li

Symbolic regression (SR) aims to discover closed-form mathematical expressions that accurately describe data, offering interpretability and analytical insight beyond standard black-box models. Existing SR methods often rely on…

Machine Learning · Computer Science 2025-06-17 Mansooreh Montazerin , Majd Al Aawar , Antonio Ortega , Ajitesh Srivastava

In this work, sequence-to-sequence (seq2seq) models, originally developed for language translation, are used to predict the temporal evolution of complex, multi-physics computer simulations. The predictive performance of seq2seq models is…

Machine Learning · Computer Science 2018-11-15 K. D. Humbird , J. L. Peterson , R. G. McClarren

Subseasonal-to-seasonal forecasting is crucial for public health, disaster preparedness, and agriculture, and yet it remains a particularly challenging timescale to predict. We explore the use of an interpretable AI-informed model analog…

Atmospheric and Oceanic Physics · Physics 2026-04-06 Jacob B. Landsberg , Matthew Newman , Elizabeth A. Barnes

Solar flares represent one of the most intense forms of solar activity. Understanding the evolution of physical parameters in the solar atmosphere during flares is key to studying flare mechanisms and improving prediction capabilities.…

Solar and Stellar Astrophysics · Physics 2026-05-27 W. Xu , Q. Hao , Z. Zheng , J. Hong , J. Hu , Y. Qiu , C. Li , M. D. Ding , C. Fang