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The presence of magnetized anomalies in the shell of the Earth interrupts its geomagnetic field. We consider the inverse problem of identifying the anomalies by monitoring the variation of the geomagnetic field. Motivated by the theoretical…

Numerical Analysis · Mathematics 2023-01-31 Rongliang Chen , Youjun Deng , Yang Gao , Jingzhi Li , Hongyu Liu

A new method for analyzing point patterns produced by the evolution of gravitational clustering is presented. The method is taken from the study of molecular liquids, where it has been introduced for making a statistical description of…

Astrophysics · Physics 2009-10-31 R. Valdarnini

The use of a finite mixture of normal distributions in model-based clustering allows to capture non-Gaussian data clusters. However, identifying the clusters from the normal components is challenging and in general either achieved by…

Methodology · Statistics 2016-06-21 Gertraud Malsiner-Walli , Sylvia Frühwirth-Schnatter , Bettina Grün

In topological data analysis, persistent homology is used to study the "shape of data". Persistent homology computations are completely characterized by a set of intervals called a bar code. It is often said that the long intervals…

Computational Geometry · Computer Science 2025-02-19 Peter Bubenik , Michael Hull , Dhruv Patel , Benjamin Whittle

Historically, metallicity profiles of galaxies have been modelled using a radially symmetric, two-parameter linear model, which reveals that most galaxies are more metal-rich in their central regions than their outskirts. However, this…

Instrumentation and Methods for Astrophysics · Physics 2024-03-14 Benjamin Metha , Simon Birrer , Tommaso Treu , Michele Trenti , Xuheng Ding , Xin Wang

A general method to obtain a representation of the structural landscape of nanoparticles in terms of a limited number of variables is proposed. The method is applied to a large dataset of parallel tempering molecular dynamics simulations of…

Estimation of Markov Random Field and covariance models from high-dimensional data represents a canonical problem that has received a lot of attention in the literature. A key assumption, widely employed, is that of {\em sparsity} of the…

Optimization and Control · Mathematics 2018-05-16 Davoud Ataee Tarzanagh , George Michailidis

Process mining techniques can help organizations to improve their operational processes. Organizations can benefit from process mining techniques in finding and amending the root causes of performance or compliance problems. Considering the…

Machine Learning · Computer Science 2021-08-18 Mahnaz Sadat Qafari , Wil van der Aalst

Machine learning (ML) outperforms traditional approaches in many molecular design tasks. ML models usually predict molecular properties from a 2D chemical graph or a single 3D structure, but neither of these representations accounts for the…

Computational Physics · Physics 2022-02-11 Simon Axelrod , Rafael Gomez-Bombarelli

Soil texture is key information in agriculture for improving soil knowledge and crop performance, so the accurate mapping of this crucial feature is imperative for rationally planning cultivations and for targeting interventions. We studied…

We present a theoretical and numerical scheme that enables quantifying hydrogen ingress in metals for arbitrary environments and defect geometries. This is achieved by explicitly resolving the electrochemical behaviour of the electrolyte,…

Chemical Physics · Physics 2022-09-20 T. Hageman , E. Martínez-Pañeda

Recent years have seen substantial advances in the development of biofunctional materials using synthetic polymers. The growing problem of elusive sequence-functionality relations for most biomaterials has driven researchers to seek more…

Quantitative Methods · Quantitative Biology 2022-07-06 Yun Zhou , Boying Gong , Tao Jiang , Ting Xu , Haiyan Huang

Machine learning has emerged as a powerful approach in materials discovery. Its major challenge is selecting features that create interpretable representations of materials, useful across multiple prediction tasks. We introduce an…

A major limitation and a continuing source of confusion in the interpretation of molecular line observations has been the large degree of chemical complexity that is observed in star-forming molecular cores. The past decade has seen…

Astrophysics · Physics 2017-01-18 Edwin A. Bergin

In most applications of nanoporous materials the pore structure is as important as the chemical composition as a determinant of performance. For example, one can alter performance in applications like carbon capture or methane storage by…

Materials Science · Physics 2024-06-05 Yongjin Lee , Senja D. Barthel , Paweł Dłotko , S. Mohamad Moosavi , Kathryn Hess , Berend Smit

Spatial co-location pattern mining refers to the task of discovering the group of objects or events that co-occur at many places. Extracting these patterns from spatial data is very difficult due to the complexity of spatial data types,…

Databases · Computer Science 2018-10-23 Sanket Vaibhav Mehta , Shagun Sodhani , Dhaval Patel

Automatic terrain recognition in Mars rover images is an important problem not just for navigation, but for scientists interested in studying rock types, and by extension, conditions of the ancient Martian paleoclimate and habitability.…

Computer Vision and Pattern Recognition · Computer Science 2022-04-22 Tejas Panambur , Deep Chakraborty , Melissa Meyer , Ralph Milliken , Erik Learned-Miller , Mario Parente

Sensemaking using automatically extracted information from text is a challenging problem. In this paper, we address a specific type of information extraction, namely extracting information related to descriptions of movement. Aggregating…

Human-Computer Interaction · Computer Science 2022-04-21 Scott Pezanowski , Prasenjit Mitra , Alan M. MacEachren

A method is presented for the distributed computation of persistent homology, based on an extension of the generalized Mayer-Vietoris principle to filtered spaces. Cellular cosheaves and spectral sequences are used to compute global…

Algebraic Topology · Mathematics 2023-08-11 Iris H. R. Yoon , Robert Ghrist

We consider the problem of estimating a spatially varying density function, motivated by problems that arise in large-scale radiological survey and anomaly detection. In this context, the density functions to be estimated are the background…

Methodology · Statistics 2017-11-17 Wesley Tansey , Alex Athey , Alex Reinhart , James G. Scott