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Physical systems evolve from one state to another along paths of least energy barrier. Without a priori knowledge of the energy landscape, multidimensional search methods aim to find such minimum energy pathways between the initial and…

A number of tools have been developed to detect topological phase transitions in strongly correlated quantum systems. They apply under different conditions, but do not cover the full range of many-body models. It is hence desirable to…

Strongly Correlated Electrons · Physics 2021-01-05 Sourav Manna , N. S. Srivatsa , Julia Wildeboer , Anne E. B. Nielsen

The capability to detect boulders on the surface of small bodies is beneficial for vision-based applications such as navigation and hazard detection during critical operations. This task is challenging due to the wide assortment of…

Computer Vision and Pattern Recognition · Computer Science 2022-10-31 Mattia Pugliatti , Francesco Topputo

Machine learning methods are evaluated to study the intriguing and debated topic of discrimination among different tectonic environments using geochemical and isotopic data. Volcanic rocks characterized by a whole geochemical signature of…

Geophysics · Physics 2017-07-03 Maurizio Petrelli , Diego Perugini

The aim of this work was to predict the probability of the spread of rock formations with hydrocarbon-collecting properties in the studied coastal area using a stack of machine learning algorithms and data augmentation and modification…

Geophysics · Physics 2023-01-10 Dmitry Ivlev

Analyzing air pollution data is challenging as there are various analysis focuses from different aspects: feature (what), space (where), and time (when). As in most geospatial analysis problems, besides high-dimensional features, the…

Machine Learning · Computer Science 2022-02-14 Yun-Hsin Kuo , Takanori Fujiwara , Charles C. -K. Chou , Chun-houh Chen , Kwan-Liu Ma

We describe a novel framework for estimating subsurface properties, such as rock permeability and porosity, from time-lapse observed seismic data by coupling full-waveform inversion, subsurface flow processes, and rock physics models. For…

Geophysics · Physics 2020-05-06 Dongzhuo Li , Kailai Xu , Jerry M. Harris , Eric Darve

Rapid and accurate wildfire detection is crucial for emergency response and environmental management. In airborne and spaceborne missions, real-time algorithms must distinguish between no fire, active fire, and post-fire conditions, and…

Computer Vision and Pattern Recognition · Computer Science 2025-12-04 Mark Moussa , Andre Williams , Seth Roffe , Douglas Morton

Enhancing the frequency bandwidth of the seismic data is always the pursuance at the geophysical community. High resolution of seismic data provides the key resource to extract detailed stratigraphic knowledge. Here, a novel approach, based…

Image and Video Processing · Electrical Eng. & Systems 2019-09-16 Yanyan Zhang , Ping Lu , Hua Yu , Stan Morris

Discovering interpretable physical laws from high-dimensional data is a fundamental challenge in scientific research. Traditional methods, such as symbolic regression, often produce complex, unphysical formulas when searching a vast space…

Computational Physics · Physics 2026-02-27 Yifeng Guan , Chuyi Liu , Dongzhan Zhou , Lei Bai , Wan-jian Yin , Jingyuan Li , Mao Su

We present a pipeline for geomorphological analysis that uses structure from motion (SfM) and deep learning on close-range aerial imagery to estimate spatial distributions of rock traits (size, roundness, and orientation) along a tectonic…

In this paper we provide new methodology for inference of the geometric features of a multivariate density in deconvolution. Our approach is based on multiscale tests to detect significant directional derivatives of the unknown density at…

Methodology · Statistics 2016-11-21 Konstantin Eckle , Nicolai Bissantz , Holger Dette

Recurrence plots exhibit line structures which represent typical behaviour of the investigated system. The local slope of these line structures is connected with a specific transformation of the time scales of different segments of the…

Chaotic Dynamics · Physics 2007-05-23 Norbert Marwan , Juergen Kurths

This article presents an Integral Gaussian Process (IntegralGP) framework for volumetric estimation of subterranean properties in mineral deposits. It provides a unified representation for data with different spatial supports, which enables…

Methodology · Statistics 2025-12-11 Anna Chlingaryan , Arman Melkumyan , Raymond Leung

For a wave equation with time-independent Lorentzian metric consider an initial-boundary value problem in $\mathbb{R}\times \Omega$, where $x_0\in \mathbb{R}$, is the time variable and $\Omega$ is a bounded domain in $\mathbb{R}^n$. Let…

Analysis of PDEs · Mathematics 2024-03-04 Gregory Eskin

We propose a multi-threshold change plane regression model which naturally partitions the observed subjects into subgroups with different covariate effects. The underlying grouping variable is a linear function of covariates and thus…

Methodology · Statistics 2018-08-03 Jialiang Li , Yaguang Li , Baisuo Jin

A wide range of data that appear in scientific experiments and simulations are multivariate or multifield in nature, consisting of multiple scalar fields. Topological feature search of such data aims to reveal important properties useful to…

Computational Geometry · Computer Science 2024-06-06 Tripti Agarwal , Amit Chattopadhyay , Vijay Natarajan

Three-dimensional restoration of complex structural models has become a recognized validation method. Bringing a sedimentary structural model back in time to various deposition stages may also help understand the geological history of a…

Geophysics · Physics 2021-05-17 Jean-Laurent Mallet , Anne-Laure Tertois

A multifractal analysis (MFA) is performed on three-dimensional grayscale images associated with natural porous structures (soil samples). First, computed tomography (CT) scans are carried out on the samples to generate 3D grayscale images.…

Data Analysis, Statistics and Probability · Physics 2016-05-22 Lorenzo Milazzo , Radoslaw Pajor

We develop a framework for analyzing multivariate time series using topological data analysis (TDA) methods. The proposed methodology involves converting the multivariate time series to point cloud data, calculating Wasserstein distances…

Algebraic Topology · Mathematics 2020-12-29 Chengyuan Wu , Carol Anne Hargreaves
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