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Empirical Dynamic Modeling (EDM) is a state-of-the-art non-linear time-series analysis framework. Despite its wide applicability, EDM was not scalable to large datasets due to its expensive computational cost. To overcome this obstacle,…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-05-27 Keichi Takahashi , Wassapon Watanakeesuntorn , Kohei Ichikawa , Joseph Park , Ryousei Takano , Jason Haga , George Sugihara , Gerald M. Pao

In this work, we propose a generalized multiscale inversion algorithm for heterogeneous problems that aims at solving an inverse problem on a computational coarse grid. Previous inversion techniques for multiscale problems seek a…

Numerical Analysis · Mathematics 2017-07-27 Eric T. Chung , Yalchin Efendiev , Bangti Jin , Wing Tat Leung , Maria Vasilyeva

We describe an FPGA based Front-End Data Acquisition Module (FEDAM) for implementing Time-over-Threshold (ToT) Time-to-Digital conversion (TDC) of pulses obtained from the COSMICi astroparticle telescope detector system photomultiplier…

Instrumentation and Methods for Astrophysics · Physics 2012-04-24 Darryl W. McGowan , David R. Grosby , Michael P. Frank , Sachin Junnarkar , Ray H. O'Neal

Precise measurement of the electric dipole moments (EDM) of fundamental charged particles would provide a significant probe of physics beyond the standard model. Any measurably large EDM would imply violation of both time reversal and…

Accelerator Physics · Physics 2015-12-07 Richard Talman

We present an Extended Kalman Filter framework for system identification and control of a stochastic high-dimensional epidemic model. The scale and severity of the COVID-19 emergency have highlighted the need for accurate forecasts of the…

Systems and Control · Electrical Eng. & Systems 2021-06-29 Francisco Barreras , Mikhail Hayhoe , Hamed Hassani , Victor M. Preciado

We consider the problem of making nonparametric inference in a class of multi-dimensional diffusions in divergence form, from low-frequency data. Statistical analysis in this setting is notoriously challenging due to the intractability of…

Methodology · Statistics 2025-01-23 Matteo Giordano , Sven Wang

Ensemble Kalman inversion is a parallelizable derivative-free method to solve inverse problems. The method uses an ensemble that follows the Kalman update formula iteratively to solve an optimization problem. The ensemble size is crucial to…

Numerical Analysis · Mathematics 2021-05-25 Yoonsang Lee

Parameter estimation has a high importance in the geosciences. The ensemble Kalman filter (EnKF) allows parameter estimation for large, time-dependent systems. For large systems, the EnKF is applied using small ensembles, which may lead to…

Applications · Statistics 2021-08-05 Johannes Keller , Harrie-Jan Hendricks Franssen , Wolfgang Nowak

This work introduces a novel probabilistic deep learning technique called deep Gaussian mixture ensembles (DGMEs), which enables accurate quantification of both epistemic and aleatoric uncertainty. By assuming the data generating process…

Machine Learning · Statistics 2023-06-13 Yousef El-Laham , Niccolò Dalmasso , Elizabeth Fons , Svitlana Vyetrenko

Ensemble methods such as the Ensemble Kalman Filter (EnKF) are widely used for data assimilation in large-scale geophysical applications, as for example in numerical weather prediction (NWP). There is a growing interest for physical models…

Applications · Statistics 2018-08-01 Sylvain Robert , Hans R. Künsch

This paper investigates ensemble Kalman inversion (EKI) for variational inverse problems with convex, potentially non-smooth regularization. While deterministic EKI and its Tikhonov-regularized variants have primarily been analyzed for…

Numerical Analysis · Mathematics 2026-03-24 Simon Weissmann

This paper introduces a novel kernel density estimator (KDE) based on the generalised exponential (GE) distribution, designed specifically for positive continuous data. The proposed GE KDE offers a mathematically tractable form that avoids…

Methodology · Statistics 2026-02-18 Laura M. Craig , Wagner Barreto-Souza

Full-Waveform Inversion (FWI) is a nonlinear iterative seismic imaging technique that, by reducing the misfit between recorded and predicted seismic waveforms, can produce detailed estimates of subsurface geophysical properties.…

Geophysics · Physics 2024-11-22 Vahid Negahdari , Seyed Reza Moghadasi , Mohammad Reza Razvan

Navigation plays a vital role in the ability of autonomous surface and underwater platforms to complete their tasks. Most navigation systems apply a fusion between inertial sensors and other external sensors, such as global navigation…

Signal Processing · Electrical Eng. & Systems 2025-03-18 Yaakov Libero , Itzik Klein

This work develops a new multifidelity ensemble Kalman filter (MFEnKF) algorithm based on linear control variate framework. The approach allows for rigorous multifidelity extensions of the EnKF, where the uncertainty in coarser fidelities…

Numerical Analysis · Mathematics 2020-07-03 Andrey A Popov , Changhong Mou , Traian Iliescu , Adrian Sandu

AI-generated images are becoming increasingly realistic and diverse, posing significant challenges for generalizable detection. While Vision Foundation Models (VFMs) provide rich semantic representations and frequency-based methods capture…

Computer Vision and Pattern Recognition · Computer Science 2026-05-01 Shuchang Zhou , Shangkun Wu , Jiwei Wei , Ke Liu , Ran Ran , Caiyan Qin , Yang Yang

Low-loss electron energy loss spectroscopy (EELS) in the scanning transmission electron microscope (STEM) probes the valence electron density and relevant optoelectronic properties such as band gap energies and other band structure…

Materials Science · Physics 2018-11-20 Alberto Eljarrat , Christoph T. Koch

Enforcing sparse structure within learning has led to significant advances in the field of data-driven discovery of dynamical systems. However, such methods require access not only to time-series of the state of the dynamical system, but…

Optimization and Control · Mathematics 2020-10-21 Tapio Schneider , Andrew M. Stuart , Jin-Long Wu

Combining electroencephalogram (EEG) datasets for supervised machine learning (ML) is challenging due to session, subject, and device variability. ML algorithms typically require identical features at train and test time, complicating…

Signal Processing · Electrical Eng. & Systems 2024-06-28 Apolline Mellot , Antoine Collas , Sylvain Chevallier , Denis Engemann , Alexandre Gramfort

We develop a software package libEMMI\_MGFD for 3D frequency-domain marine controlled-source electromagnetic (CSEM) modelling and inversion. It is the first open-source C program tailored for geometrical multigrid (GMG) CSEM simulation. An…

Computational Physics · Physics 2024-08-01 Pengliang Yang , An Ping