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Deep learning techniques have been shown to be extremely effective for various classification and regression problems, but quantifying the uncertainty of their predictions and separating them into the epistemic and aleatoric fractions is…

Signal Processing · Electrical Eng. & Systems 2019-10-15 Augustin Prado , Ravinath Kausik , Lalitha Venkataramanan

Contemporary materials science research is heavily conducted in silico, involving massive simulations of the atomic-scale evolution of materials. Cataloging basic patterns in the atomic displacements is key to understanding and predicting…

Human-Computer Interaction · Computer Science 2026-01-16 Rostyslav Hnatyshyn , Danny Perez , Gerik Scheuermann , Ross Maciejewski , Baldwin Nsonga

The study of grain boundary phase transitions is an emerging field until recently dominated by experiments. The major bottleneck in exploration of this phenomenon with atomistic modeling has been the lack of a robust computational tool that…

Materials Science · Physics 2018-02-21 Qiang Zhu , Amit Samanta , Bingxi Li , Robert E. Rudd , Timofey Frolov

Rapid sampling from the environment to acquire available frontier points and timely incorporating them into subsequent planning to reduce fragmented regions are critical to improve the efficiency of autonomous exploration. We propose HPHS,…

Robotics · Computer Science 2024-07-22 Shijun Long , Ying Li , Chenming Wu , Bin Xu , Wei Fan

Representing the reservoir as a network of discrete compartments with neighbor and non-neighbor connections is a fast, yet accurate method for analyzing oil and gas reservoirs. Automatic and rapid detection of coarse-scale compartments with…

Machine Learning · Computer Science 2019-11-21 Soheil Esmaeilzadeh , Amir Salehi , Gill Hetz , Feyisayo Olalotiti-lawal , Hamed Darabi , David Castineira

An unprecedented spectroscopic data stream will soon become available with forthcoming Earth-observing satellite missions equipped with imaging spectroradiometers. This data stream will open up a vast array of opportunities to quantify a…

Spatial boundaries, such as ecological transitions or climatic regime interfaces, capture steep environmental gradients, and shifts in their structure can signal emerging environmental changes. Quantifying uncertainty in spatial boundary…

Applications · Statistics 2025-12-18 Stephen Tivenan , Indranil Sahoo , Yanjun Qian

Low oil prices have motivated energy executives to look into cost reduction in their supply chains more seriously. To this end, a new technology that is experimentally considered in hydrocarbon exploration is data mining. There are two…

Other Computer Science · Computer Science 2017-05-19 Hamed Nikhalat Jahromi , Alpio M. Jorge

We introduce a novel Bayesian method that can detect multiple structural breaks in the mean and variance of a length $T$ time-series. Our method quantifies uncertainty by returning $\alpha$-level credible sets around the estimated locations…

Methodology · Statistics 2025-07-14 Davis Berlind , Lorenzo Cappello , Oscar Hernan Madrid Padilla

Bifurcation theory is the usual analytic approach to study the parameter space of a dynamical system. Despite the great power of prediction of these techniques, fundamental limitations appear during the study of a given problem. Nonlinear…

Chaotic Dynamics · Physics 2023-10-02 Alexandre Wagemakers , Alvar Daza , Miguel A. F. Sanjuán

Borehole seismic data is obtained by receivers located in a well, with sources located on the surface or in another well. Using microlocal analysis, we study possible approximate reconstruction via linearized, filtered backprojection of an…

Analysis of PDEs · Mathematics 2024-02-20 Raluca Felea , Romina Gaburro , Allan Greenleaf , Clifford Nolan

Separated flow transition is a very popular phenomenon in gas turbines, especially low-pressure turbines (LPT). Low-fidelity simulations are often used for gas turbine design. However, they are unable to predict separated flow transition…

Fluid Dynamics · Physics 2024-09-13 Harshal D. Akolekar

This work delves into presenting a probabilistic method for analyzing linear process data with weakly dependent innovations, focusing on detecting change-points in the mean and estimating its spectral density. We develop a test for…

Statistics Theory · Mathematics 2024-10-01 Ramkrishna Jyoti Samanta

This technical note describes the FluidFlower concept, a new laboratory infrastructure for geological carbon storage research. The highly controlled and adjustable system produces a strikingly visual physical ground truth of studied…

In this work, two fast multipole boundary element formulations for the linear time-harmonic acoustic analysis of finite periodic structures are presented. Finite periodic structures consist of a bounded number of unit cell replications in…

Numerical Analysis · Mathematics 2022-01-31 Christopher Jelich , Wenchang Zhao , Haibo Chen , Steffen Marburg

We describe the boundary of linear subvarieties in the moduli space of multi-scale differentials. Linear subvarieties are algebraic subvarieties of strata of (possibly) meromorphic differentials that in local period coordinates are given by…

Algebraic Geometry · Mathematics 2023-01-11 Frederik Benirschke

Multivariate oscillatory signals from complex systems often exhibit non-stationary dynamics and metastable regime structure, making dynamical interpretation challenging. We introduce a ``dynamical microscope'' framework that converts…

Neurons and Cognition · Quantitative Biology 2026-02-12 Łukasz Furman , Ludovico Minati , Włodzisław Duch

Despite the simplicity of its molecular unit, water is a challenging system because of its uniquely rich polymorphism and predicted but yet unconfirmed features. Introducing a novel space of generalized coordinates that capture changes in…

Given that observational and numerical climate data are being produced at ever more prodigious rates, increasingly sophisticated and automated analysis techniques have become essential. Deep learning is quickly becoming a standard approach…

Fluid Dynamics · Physics 2017-09-12 A. Rupe , J. P. Crutchfield , K. Kashinath , Prabhat

Phenomenological (P-type) bifurcations are qualitative changes in stochastic dynamical systems whereby the stationary probability density function (PDF) changes its topology. The current state of the art for detecting these bifurcations…

Algebraic Topology · Mathematics 2024-06-10 Sunia Tanweer , Firas A. Khasawneh