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Empirically, modern deep learning training often occurs at the Edge of Stability (EoS), where the sharpness of the loss exceeds the threshold below which classical convergence analysis applies. Despite recent progress, existing theoretical…

Machine Learning · Computer Science 2026-04-14 Eric Gan

Thomson scattering (TS) diagnostics provide reliable, minimally perturbative measurements of fundamental plasma parameters, such as electron density ($n_e$) and electron temperature ($T_e$). Deep neural networks can provide accurate…

We develop a deep learning model to predict traffic flows. The main contribution is development of an architecture that combines a linear model that is fitted using $\ell_1$ regularization and a sequence of $\tanh$ layers. The challenge of…

Applications · Statistics 2017-11-15 Nicholas Polson , Vadim Sokolov

Earthquake signals are non-stationary in nature and thus in real-time, it is difficult to identify and classify events based on classical approaches like peak ground displacement, peak ground velocity. Even the popular algorithm of STA/LTA…

Signal Processing · Electrical Eng. & Systems 2021-01-19 Tonumoy Mukherjee , Chandrani Singh , Prabir Kumar Biswas

The recent literature on deep learning offers new tools to learn a rich probability distribution over high dimensional data such as images or sounds. In this work we investigate the possibility of learning the prior distribution over neural…

Machine Learning · Statistics 2017-12-19 Alexandre Lacoste , Thomas Boquet , Negar Rostamzadeh , Boris Oreshkin , Wonchang Chung , David Krueger

This work proposes an innovative approach using machine learning to predict extreme events in time series of chaotic dynamical systems. The research focuses on the time series of the H\'enon map, a two-dimensional model known for its…

Chaotic Dynamics · Physics 2025-07-11 Alexandre C. Andreani , Bruno R. R. Boaretto , Elbert E. N. Macau

A large variety of complex systems in ecology, climate science, biomedicine and engineering have been observed to exhibit tipping points, where the internal dynamical state of the system abruptly changes. For example, such critical…

Physics and Society · Physics 2015-03-06 Christian Kuehn , Erik A. Martens , Daniel Romero

Microseismic analysis is a valuable tool for fracture characterization in the earth's subsurface. As distributed acoustic sensing (DAS) fibers are deployed at depth inside wells, they hold vast potential for high-resolution microseismic…

Machine learning systems are often used in settings where individuals adapt their features to obtain a desired outcome. In such settings, strategic behavior leads to a sharp loss in model performance in deployment. In this work, we aim to…

Machine Learning · Computer Science 2021-06-11 Yatong Chen , Jialu Wang , Yang Liu

Underwater explosions produce complex fluid phenomena relevant to diverse applications including maritime engineering, medical therapeutics, and inertial confinement fusion. These systems exhibit multiphase flows, chemical kinetics, and…

Fluid Dynamics · Physics 2025-07-02 Francis G. VanGessel , Mitul Pandya

Machine learning has enabled the prediction of quantum chemical properties with high accuracy and efficiency, allowing to bypass computationally costly ab initio calculations. Instead of training on a fixed set of properties, more recent…

Limited datasets and complex nonlinear relationships are among the challenges that may emerge when applying econometrics to macroeconomic problems. This research proposes deep learning as an approach to transfer learning in the former case…

Econometrics · Economics 2022-02-01 Rafael R. S. Guimaraes

We develop an early-warning signal for bifurcations of one-dimensional random difference equations with additive bounded noise, based on the asymptotic behaviour of the stationary density near a boundary of its support. We demonstrate the…

Dynamical Systems · Mathematics 2026-03-31 Wei Hao Tey , Guillermo Olicón-Méndez , Jeroen S. W. Lamb , Kazuyuki Aihara

Forecasts by the European Centre for Medium-Range Weather Forecasts (ECMWF; EC for short) can provide a basis for the establishment of maritime-disaster warning systems, but they contain some systematic biases.The fifth-generation EC…

Atmospheric and Oceanic Physics · Physics 2023-01-04 Wei Zhang , Yueyue Jiang , Junyu Dong , Xiaojiang Song , Renbo Pang , Boyu Guoan , Hui Yu

Fast-slow dynamical systems have subsystems that evolve on vastly different timescales, and bifurcations in such systems can arise due to changes in any or all subsystems. We classify bifurcations of the critical set (the equilibria of the…

Dynamical Systems · Mathematics 2020-04-21 Karl Nyman , Peter Ashwin , Peter Ditlevsen

Stress is widely recognized as a major contributor to a variety of health issues. Stress prediction using biosignal data recorded by wearables is a key area of study in mobile sensing research because real-time stress prediction can enable…

Machine Learning · Computer Science 2023-08-14 Tanvir Islam , Peter Washington

This article presents the first results from using a learning classifier system capable of performing adaptive computation with deep neural networks. Individual classifiers within the population are composed of two neural networks. The…

Neural and Evolutionary Computing · Computer Science 2021-03-02 Richard J. Preen , Larry Bull

In this paper we propose a novel machine-learning method for anomaly detection applicable to data with periodic characteristics where randomly varying period lengths are explicitly allowed. A multi-dimensional time series analysis is…

Signal Processing · Electrical Eng. & Systems 2019-05-22 Lia Ahrens , Julian Ahrens , Hans D. Schotten

This paper addresses learning end-to-end models for time series data that include a temporal alignment step via dynamic time warping (DTW). Existing approaches to differentiable DTW either differentiate through a fixed warping path or apply…

Machine Learning · Computer Science 2023-03-21 Ming Xu , Sourav Garg , Michael Milford , Stephen Gould

We investigate the critical properties of kinetic continuous opinion dynamics using deep learning techniques. The system consists of $N$ continuous spin variables in the interval $[-1,1]$. Dense neural networks are trained on spin…

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