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Seismic data often face challenges in their utilization due to noise contamination, incomplete acquisition, and limited low-frequency information, which hinder accurate subsurface imaging and interpretation. Traditional processing methods…

Geophysics · Physics 2025-02-04 Shijun Cheng , Randy Harsuko , Tariq Alkhalifah

Seismic inverse modeling is a common method in reservoir prediction and it plays a vital role in the exploration and development of oil and gas. Conventional seismic inversion method is difficult to combine with complicated and abstract…

Machine Learning · Statistics 2021-06-09 Pengfei Xie , YanShu Yin , JiaGen Hou , Mei Chen , Lixin Wang

We introduce the concept of conjugate prior models for a given likelihood function in Bayesian spatial inversion. The conjugate class of prior models can be selection extended and still remain conjugate. We demonstrate the generality of…

Methodology · Statistics 2018-12-06 Henning Omre , Kjartan Rimstad

While integrating multiple modalities has the potential to improve environmental monitoring, current approaches struggle to combine data sources with heterogeneous formats or contents. A central difficulty arises when combining continuous…

Computation and Language · Computer Science 2026-03-27 Valerie Zermatten , Chiara Vanalli , Gencer Sumbul , Diego Marcos , Devis Tuia

This position paper argues that the next generation of artificial intelligence in meteorological and climate sciences must transition from fragmented hybrid heuristics toward a unified paradigm of physics-guided multimodal transformers.…

Machine Learning · Computer Science 2026-01-29 Jing Han , Hanting Chen , Kai Han , Xiaomeng Huang , Wenjun Xu , Dacheng Tao , Ping Zhang

4D seismic inversion is the leading method to quantitatively monitor fluid flow dynamics in the subsurface, with applications ranging from enhanced oil recovery to subsurface CO2 storage. The process of inverting seismic data for reservoir…

Geophysics · Physics 2023-10-25 Juan Romero , Nick Luiken , Matteo Ravasi

Understanding the dynamics of climate variables is paramount for numerous sectors, like energy and environmental monitoring. This study focuses on the critical need for a precise mapping of environmental variables for national or regional…

Applications · Statistics 2026-04-30 Pietro Colombo , Claire Miller , Xiaochen Yang , Ruth O'Donnell , Paolo Maranzano

This short note reviews so-called Natural Gradient Descent (NGD) for multivariate Gaussians. The Fisher Information Matrix (FIM) is derived for several different parameterizations of Gaussians. Careful attention is paid to the symmetric…

Machine Learning · Statistics 2020-10-20 Timothy D. Barfoot

We develop a robust data fusion algorithm for field reconstruction of multiple physical phenomena. The contribution of this paper is twofold: First, we demonstrate how multi-spatial fields which can have any marginal distributions and…

Methodology · Statistics 2019-06-11 Pengfei Zhang , Gareth W. Peters , Ido Nevat , Keng Boon Teo , Yixin Wang

Multi-model ensemble analysis integrates information from multiple climate models into a unified projection. However, existing integration approaches based on model averaging can dilute fine-scale spatial information and incur bias from…

Applications · Statistics 2023-04-12 Trevor Harris , Bo Li , Ryan Sriver

Process-Based Modeling (PBM) and Machine Learning (ML) are often perceived as distinct paradigms in the geosciences. Here we present differentiable geoscientific modeling as a powerful pathway toward dissolving the perceived barrier between…

In a landscape where scientific discovery is increasingly driven by data, the integration of machine learning (ML) with traditional scientific methodologies has emerged as a transformative approach. This paper introduces a novel,…

Machine Learning · Computer Science 2024-06-26 Yunjin Tong

Gaussian process state-space models (GPSSMs) provide a principled and flexible approach to modeling the dynamics of a latent state, which is observed at discrete-time points via a likelihood model. However, inference in GPSSMs is…

Machine Learning · Computer Science 2023-07-18 Xuhui Fan , Edwin V. Bonilla , Terence J. O'Kane , Scott A. Sisson

Gauss's method of orbit determination (OD) and its variants are among the most popular initial state estimation techniques for astronomers and engineers alike. However, owing to its assumptions regarding the two-body problem, Gauss's method…

Applications · Statistics 2026-03-03 Ishan Paranjape , Tarun Hejmadi , Utkarsh Ranjan Mishra , Suman Chakravorty

Geometric data and purpose-built generative models on them have become ubiquitous in high-impact deep learning application domains, ranging from protein backbone generation and computational chemistry to geospatial data. Current geometric…

Machine Learning · Computer Science 2026-02-10 Oscar Davis , Michael S. Albergo , Nicholas M. Boffi , Michael M. Bronstein , Avishek Joey Bose

A new algorithm is developed to tackle the issue of sampling non-Gaussian model parameter posterior probability distributions that arise from solutions to Bayesian inverse problems. The algorithm aims to mitigate some of the hurdles faced…

Machine Learning · Statistics 2019-11-19 Leen Alawieh , Jonathan Goodman , John B. Bell

The Gaussian process latent variable model (GP-LVM) provides a flexible approach for non-linear dimensionality reduction that has been widely applied. However, the current approach for training GP-LVMs is based on maximum likelihood, where…

Machine Learning · Statistics 2014-09-09 Andreas C. Damianou , Michalis K. Titsias , Neil D. Lawrence

In model-based medical image analysis, three features of interest are the shape of structures of interest, their relative pose, and image intensity profiles representative of some physical property. Often, these are modelled separately…

Image and Video Processing · Electrical Eng. & Systems 2023-01-03 Jean-Rassaire Fouefack , Bhushan Borotikar , Marcel Lüthi , Tania S. Douglas , Valérie Burdin , Tinashe E. M. Mutsvangwa

In the weakly supervised temporal video grounding study, previous methods use predetermined single Gaussian proposals which lack the ability to express diverse events described by the sentence query. To enhance the expression ability of a…

Computer Vision and Pattern Recognition · Computer Science 2024-04-05 Sunoh Kim , Jungchan Cho , Joonsang Yu , YoungJoon Yoo , Jin Young Choi

We present an enhanced method for the application of Gaussian Mixture Modelling (GMM) to the coherent WaveBurst (cWB) algorithm in the search for short-duration gravitational wave (GW) transients. The supervised Machine Learning method of…

General Relativity and Quantum Cosmology · Physics 2024-11-06 Leigh Smith , Sayantan Ghosh , Jiyoon Sun , V. Gayathri , Ik Siong Heng , Archana Pai