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Causal discovery algorithms based on probabilistic graphical models have emerged in geoscience applications for the identification and visualization of dynamical processes. The key idea is to learn the structure of a graphical model from…

Machine Learning · Computer Science 2015-12-29 Imme Ebert-Uphoff , Yi Deng

Petrography is a branch of geology that analyzes the mineralogical composition of rocks from microscopical thin section samples. It is essential for understanding rock properties across geology, archaeology, engineering, mineral…

Computer Vision and Pattern Recognition · Computer Science 2025-11-04 Isai Daniel Chacón , Paola Ruiz Puentes , Jillian Pearse , Pablo Arbeláez

Nonlinear dynamical systems with regime transitions are typically described by ordinary differential equations with jumping parameters parameters. Traditional methods often treat change-point detection and parameter estimation as separate…

Machine Learning · Statistics 2026-04-29 Yuhe Bai , Chengli Tan , Jiaqi Li , Xiangjun Wang , Zhikun Zhang

Interacting, self-propelled particles such as epithelial cells can dynamically self-organize into complex multicellular patterns, which are challenging to classify without a priori information. Classically, different phases and phase…

Quantitative Methods · Quantitative Biology 2021-01-19 Dhananjay Bhaskar , William Y. Zhang , Ian Y. Wong

Bayesian change-point detection, together with latent variable models, allows to perform segmentation over high-dimensional time-series. We assume that change-points lie on a lower-dimensional manifold where we aim to infer subsets of…

Machine Learning · Statistics 2020-11-04 Lorena Romero-Medrano , Pablo Moreno-Muñoz , Antonio Artés-Rodríguez

In this work we present a new conceptual model to describe fluid flow in a porous media system in presence of a large fault. Geological faults are often modeled simply as interfaces in the rock matrix, but they are complex structure where…

Numerical Analysis · Mathematics 2019-03-05 Alessio Fumagalli , Anna Scotti

Land use and land cover mapping from Earth Observation (EO) data is a critical tool for sustainable land and resource management. While advanced machine learning and deep learning algorithms excel at analyzing EO imagery data, they often…

Computer Vision and Pattern Recognition · Computer Science 2025-04-18 Babak Ghassemi , Cassio Fraga-Dantas , Raffaele Gaetano , Dino Ienco , Omid Ghorbanzadeh , Emma Izquierdo-Verdiguier , Francesco Vuolo

As datasets used in scientific applications become more complex, studying the geometry and topology of data has become an increasingly prevalent part of the data analysis process. This can be seen for example with the growing interest in…

Algebraic Geometry · Mathematics 2024-03-22 Ezzeddine El Sai , Parker Gara , Markus J. Pflaum

An exact analytical solution of the statistical multifragmentation model is found in thermodynamic limit. Excluded volume effects are taken into account in the thermodynamically self-consistent way. The model exhibits a 1-st order phase…

Nuclear Theory · Physics 2007-05-23 K. A. Bugaev , M. I. Gorenstein , I. N. Mishustin , W. Greiner

Phylogenetic inference, grounded in molecular evolution models, is essential for understanding the evolutionary relationships in biological data. Accounting for the uncertainty of phylogenetic tree variables, which include tree topologies…

Machine Learning · Computer Science 2023-12-04 Takahiro Mimori , Michiaki Hamada

Retrieval data structures are data structures that answer key-value queries without paying the space overhead of explicitly storing keys. The problem can be formulated in four settings (static, value-dynamic, incremental, or dynamic), each…

Data Structures and Algorithms · Computer Science 2024-10-25 William Kuszmaul , Aaron Putterman , Tingqiang Xu , Hangrui Zhou , Renfei Zhou

Multiphase flow in porous media underpins subsurface energy and environmental technologies, including geological CO$_2$ storage and underground hydrogen storage, yet pore-scale dynamics in realistic three-dimensional materials remain…

A topological computation method, called the MGSTD method, is applied to time-series data obtained from meteorological measurement. The method gives decomposition of the dynamics into invariant sets and gradient-like transitions between…

Dynamical Systems · Mathematics 2019-05-31 Hidetoshi Morita , Masaru Inatsu , Hiroshi Kokubu

Radiography is often used to probe complex, evolving density fields in dynamic systems and in so doing gain insight into the underlying physics. This technique has been used in numerous fields including materials science, shock physics,…

The knowledge of transitions between regular, laminar or chaotic behavior is essential to understand the underlying mechanisms behind complex systems. While several linear approaches are often insufficient to describe such processes, there…

Medical Physics · Physics 2007-05-23 N. Marwan , N. Wessel , U. Meyerfeldt , A. Schirdewan , J. Kurths

Ground Penetrating Radar (GPR) is a widely used Non-Destructive Testing (NDT) technique for subsurface exploration, particularly in infrastructure inspection and maintenance. However, conventional interpretation methods are often limited by…

Signal Processing · Electrical Eng. & Systems 2026-01-15 Meiyan Kang , Shizuo Kaji , Sang-Yun Lee , Taegon Kim , Hee-Hwan Ryu , Suyoung Choi

The rich polymorphism exhibited by inorganic/organic interfaces is a major challenge for materials design. In this work we present a method to efficiently explore the potential energy surface and predict the formation energies of polymorphs…

Understanding the orientation of geological structures is crucial for analyzing the complexity of the Earths' subsurface. For instance, information about geological structure orientation can be incorporated into local anisotropic…

Geophysics · Physics 2024-09-10 Ali Gholami , Silvia Gazzola

Symmetry-breaking bifurcations, where a flow state with a certain symmetry undergoes a transition to state with a different symmetry, are ubiquitous in fluid mechanics. Much can be understood about the nature of these transitions from…

Fluid Dynamics · Physics 2024-11-20 John F. Rudge , Dan McKenzie

Several approaches were proposed to describe the geomorphology of drainage networks and the abiotic/biotic factors determining their morphology. There is an intrinsic complexity of the explicit qualification of the morphological variations…

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