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Understanding the behavior and evolution of a dynamical many-body system by analyzing patterns in their experimentally captured images is a promising method relevant for a variety of living and non-living self-assembled systems. The arrays…

Automated rock classification from mineral composition presents a significant challenge in geological applications, with critical implications for material recycling, resource management, and industrial processing. While existing methods…

Computational Engineering, Finance, and Science · Computer Science 2025-10-17 Iye Szin Ang , Martin Johannes Findl , Elisabeth Hauzinger , Klaus Philipp Sedlazeck , Jyrki Savolainen , Ronald Bakker , Robert Galler , Elmar Rueckert

Measurement-based methane inventories, which involve surveying oil and gas facilities and compiling data to estimate methane emissions, are becoming the gold standard for quantifying emissions. However, there is a current lack of…

Methodology · Statistics 2026-01-28 Augustine Wigle , Audrey Beliveau

A novel algorithm is proposed for segmenting an image into multiple levels using its mean and variance. Starting from the extreme pixel values at both ends of the histogram plot, the algorithm is applied recursively on sub-ranges computed…

Computer Vision and Pattern Recognition · Computer Science 2007-05-23 Siddharth Arora , Jayadev Acharya , Amit Verma , Prasanta K. Panigrahi

Multivariate normal mixtures provide a flexible method of fitting high-dimensional data. It is shown that their topography, in the sense of their key features as a density, can be analyzed rigorously in lower dimensions by use of a…

Statistics Theory · Mathematics 2007-06-13 Surajit Ray , Bruce G. Lindsay

This paper presents a Bayesian multilevel modeling approach for estimating well-level oil and gas production capacities across small geographic areas over multiple time periods. Focusing on a basin, which is a geologically and economically…

Applications · Statistics 2025-03-27 Hiroaki Minato

Iterative geostatistical history matching uses stochastic sequential simulation to generate and perturb subsurface Earth models to match historical production data. The areas of influence around each well are one of the key factors in…

Geophysics · Physics 2018-10-17 Eduardo Barrela , Vasily Demyanov , Leonardo Azevedo

In environmental sciences, it is often of interest to assess whether the dependence between extreme measurements has changed during the observation period. The aim of this work is to propose a statistical test that is particularly sensitive…

Methodology · Statistics 2015-05-06 Axel Bücher , Paul Kinsvater , Ivan Kojadinovic

Phase diagrams are an invaluable tool for material synthesis and provide information on the phases of the material at any given thermodynamic condition. Conventional phase diagram generation involves experimentation to provide an initial…

Transition out of a topological phase is typically characterized by discontinuous changes in topological invariants along with bulk gap closings. However, as a clean system is geometrically punctured, it is natural to ask the fate of an…

Disordered Systems and Neural Networks · Physics 2023-12-15 Saikat Mondal , Subrata Pachhal , Adhip Agarwala

Topological phases of matter$\unicode{x2013}$comprising both insulators and semimetals$\unicode{x2013}$offer great potential for quantum applications, but identifying new candidates remains challenging due to expensive first-principles…

Materials Science · Physics 2026-04-08 Xinyu Xu , Arif Ullah , Ming Yang

This work studies phase retrieval for wave fields, aiming to recover the phase of an incoming wave from multi-plane intensity measurements behind different types of linear and nonlinear media. We show that unique phase retrieval can be…

Optics · Physics 2025-05-22 Yan Cheng , Kui Ren , Nathan Soedjak

Changes in the parameters of dynamical systems can cause the state of the system to shift between different qualitative regimes. These shifts, known as bifurcations, are critical to study as they can indicate when the system is about to…

Dynamical Systems · Mathematics 2024-02-06 Sunia Tanweer , Firas A. Khasawneh , Elizabeth Munch , Joshua R. Tempelman

Complex systems are commonly modeled using nonlinear dynamical systems. These models are often high-dimensional and chaotic. An important goal in studying physical systems through the lens of mathematical models is to determine when the…

Computational Geometry · Computer Science 2014-03-25 Jesse Berwald , Marian Gidea , Mikael Vejdemo-Johansson

Very long and noisy sequence data arise from biological sciences to social science including high throughput data in genomics and stock prices in econometrics. Often such data are collected in order to identify and understand shifts in…

Methodology · Statistics 2016-07-15 Yue S. Niu , Ning Hao , Heping Zhang

This paper presents a risk analysis of flowlines in the oil and gas sector using Geographic Information Systems (GIS) and machine learning (ML). Flowlines, vital conduits transporting oil, gas, and water from wellheads to surface…

Machine Learning · Computer Science 2025-01-22 I. Chittumuri , N. Alshehab , R. J. Voss , L. L. Douglass , S. Kamrava , Y. Fan , J. Miskimins , W. Fleckenstein , S. Bandyopadhyay

In modern business modeling and analytics, data monitoring plays a critical role. Nowadays, sophisticated models often rely on hundreds or even thousands of input variables. Over time, structural changes such as abrupt level shifts or trend…

Methodology · Statistics 2019-10-07 Yingbo Li , Robert Cezeaux , Di Yu

Topology is a powerful tool for categorizing magnetization textures by defining a topological index in both two-dimensional (2D) systems, such as thin films or curved surfaces, and in 3D bulk systems. In the emerging field of 3D…

Autonomous robots are increasingly deployed to estimate spatiotemporal fields (e.g., wind, temperature, gas concentration) that vary across space and time. We consider environments divided into non-overlapping regions with distinct spatial…

Robotics · Computer Science 2025-09-30 Kaleb Ben Naveed , Haejoon Lee , Dimitra Panagou

This field case study aims to address the challenge of accurately predicting petrophysical properties in heterogeneous reservoir formations, which can significantly impact reservoir performance predictions. The study employed three machine…

Geophysics · Physics 2023-05-15 Fethi Ali Cheddad