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Hyper-spectral data can be analyzed to recover physical properties at large planetary scales. This involves resolving inverse problems which can be addressed within machine learning, with the advantage that, once a relationship between…

Applications · Statistics 2015-12-31 Antoine Deleforge , Florence Forbes , Sileye Ba , Radu Horaud

Uncertainty quantification of groundwater (GW) aquifer parameters is critical for efficient management and sustainable extraction of GW resources. These uncertainties are introduced by the data, model, and prior information on the…

Geophysics · Physics 2021-12-08 Amal Alghamdi , Marc Hesse , Jingyi Chen , Umberto Villa , Omar Ghattas

This paper evaluates heterogeneous information fusion using multi-task Gaussian processes in the context of geological resource modeling. Specifically, it empirically demonstrates that information integration across heterogeneous…

Machine Learning · Statistics 2013-09-06 Shrihari Vasudevan , Arman Melkumyan , Steven Scheding

Modeling stiff partial differential equations (PDEs) with sharp gradients remains a significant challenge for scientific machine learning. While Physics-Informed Neural Networks (PINNs) struggle with spectral bias and slow training times,…

Computational Engineering, Finance, and Science · Computer Science 2026-03-09 Akshay Govind Srinivasan , Balaji Srinivasan

We introduce a fully 3D, deep learning-based approach for the joint inversion of time-lapse surface gravity and seismic data for reconstructing subsurface density and velocity models. The target application of this proposed inversion…

Geophysics · Physics 2023-10-10 Adrian Celaya , Mauricio Araya-Polo

To track rapid changes within our water sector, Global Water Models (GWMs) need to realistically represent hydrologic systems' response patterns - such as baseflow fraction - but are hindered by their limited ability to learn from data.…

Urban areas are increasingly vulnerable to thermal extremes driven by rapid urbanization and climate change. Traditionally, thermal extremes have been monitored using Earth-observing satellites and numerical modeling frameworks. For…

Computer Vision and Pattern Recognition · Computer Science 2026-04-15 Baris Sarper Tezcan , Hrishikesh Viswanath , Rubab Saher , Daniel Aliaga

Prior beliefs about the latent function to shape inductive biases can be incorporated into a Gaussian Process (GP) via the kernel. However, beyond kernel choices, the decision-making process of GP models remains poorly understood. In this…

Machine Learning · Computer Science 2023-06-07 Maximilian P. Niroomand , Luke Dicks , Edward O. Pyzer-Knapp , David J. Wales

Both experimental and computational methods for the exploration of structure, functionality, and properties of materials often necessitate the search across broad parameter spaces to discover optimal experimental conditions and regions of…

Computational Physics · Physics 2021-08-31 Maxim Ziatdinov , Ayana Ghosh , Sergei V. Kalinin

Atmospheric inverse modelling is a method for reconstructing historical fluxes of green-house gas between land and atmosphere, using observed atmospheric concentrations and an atmospheric tracer transport model. The small number of observed…

Applications · Statistics 2019-07-08 Unn Dahlen , Johan Linström , Marko Scholze

Markov random fields (MRFs) have been widely used as prior models in various inverse problems such as tomographic reconstruction. While MRFs provide a simple and often effective way to model the spatial dependencies in images, they suffer…

Computer Vision and Pattern Recognition · Computer Science 2016-06-17 Ruoqiao Zhang , Dong Hye Ye , Debashish Pal , Jean-Baptiste Thibault , Ken D. Sauer , Charles A. Bouman

Foundation models, as a mainstream technology in artificial intelligence, have demonstrated immense potential across various domains in recent years, particularly in handling complex tasks and multimodal data. In the field of geophysics,…

Geophysics · Physics 2025-04-28 Hanlin Sheng , Xinming Wu , Hang Gao , Haibin Di , Sergey Fomel , Jintao Li , Xu Si

Traditional foundation models are pre-trained on broad datasets to reduce the training resources (e.g., time, energy, labeled samples) needed for fine-tuning a wide range of downstream tasks. However, traditional foundation models struggle…

Machine Learning · Computer Science 2025-04-24 Majid Farhadloo , Arun Sharma , Mingzhou Yang , Bharat Jayaprakash , William Northrop , Shashi Shekhar

Probability theory has become the predominant framework for quantifying uncertainty across scientific and engineering disciplines, with a particular focus on measurement and control systems. However, the widespread reliance on simple…

Gravitational-wave data from advanced-era interferometric detectors consists of background Gaussian noise, frequent transient artefacts, and rare astrophysical signals. Multiple search algorithms exist to detect the signals from compact…

General Relativity and Quantum Cosmology · Physics 2026-01-13 Gregory Ashton , Ann-Kristin Malz , Nicolo Colombo

Minerals play a critical role in the advanced energy technologies necessary for decarbonization, but characterizing mineral deposits hidden underground remains costly and challenging. Inspired by recent progress in generative modeling, we…

Machine Learning · Statistics 2025-11-14 Sujay Nair , Evan Coleman , Sherrie Wang , Elsa Olivetti

Determining atomistic structures from characterization data is one of the most common yet intricate problems in materials science. Particularly in amorphous materials, proposing structures that balance realism and agreement with experiments…

Disordered Systems and Neural Networks · Physics 2026-03-25 Jiawei Guo , Daniel Schwalbe-Koda

This paper studies the problem of estimating physical properties (system identification) through visual observations. To facilitate geometry-aware guidance in physical property estimation, we introduce a novel hybrid framework that…

Computer Vision and Pattern Recognition · Computer Science 2024-11-01 Junhao Cai , Yuji Yang , Weihao Yuan , Yisheng He , Zilong Dong , Liefeng Bo , Hui Cheng , Qifeng Chen

Purely data driven approaches for machine learning present difficulties when data is scarce relative to the complexity of the model or when the model is forced to extrapolate. On the other hand, purely mechanistic approaches need to…

Machine Learning · Statistics 2020-03-16 Mauricio A. Álvarez , David Luengo , Neil D. Lawrence

To predict future trajectories, the normalizing flow with a standard Gaussian prior suffers from weak diversity. The ineffectiveness comes from the conflict between the fact of asymmetric and multi-modal distribution of likely outcomes and…

Computer Vision and Pattern Recognition · Computer Science 2025-01-16 Jiahe Chen , Jinkun Cao , Dahua Lin , Kris Kitani , Jiangmiao Pang