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It is often known, from modelling studies, that a certain mode of climate tipping (of the oceanic thermohaline circulation, for example) is governed by an underlying fold bifurcation. For such a case we present a scheme of analysis that…

Dynamical Systems · Mathematics 2010-12-15 J. M. T. Thompson , Jan Sieber

The paper introduces a novel topological method for prediction and modeling for a nonlinear time--series that exhibit recurring patterns. According to the model, global manifold of the reconstructed state--space can be approximated by a few…

Chaotic Dynamics · Physics 2017-11-21 Sajini Anand P S , Prabhakar G Vaidya

The piecewise exponential model is a flexible non-parametric approach for time-to-event data, but extrapolation beyond final observation times typically relies on random walk priors and deterministic knot locations, resulting in unrealistic…

Methodology · Statistics 2025-05-12 Luke Hardcastle , Samuel Livingstone , Gianluca Baio

Tipping points occur in diverse systems in various disciplines such as ecology, climate science, economy or engineering. Tipping points are critical thresholds in system parameters or state variables at which a tiny perturbation can lead to…

Nowadays, the deployment of deep learning models on edge devices for addressing real-world classification problems is becoming more prevalent. Moreover, there is a growing popularity in the approach of early classification, a technique that…

Machine Learning · Computer Science 2023-06-27 Leonardos Pantiskas , Kees Verstoep , Mark Hoogendoorn , Henri Bal

Creep under a sustained load can persist for long times yet culminate in abrupt yielding or rupture, implying a finite lifetime even when the material appears solid. Here, we formulate lifetime prediction as Bayesian inference over an…

Materials Science · Physics 2026-04-01 Juan Carlos Verano-Espitia , Tero Mäkinen , Mikko J. Alava , Jérôme Weiss

We investigate the effect of imperfect feedback on the \epsilon-outage capacity of incremental relaying in the low signal-to-noise ratio (SNR) regime. We show that imperfect feedback leads to a rescaling of the pre-log factor (comparable to…

Information Theory · Computer Science 2010-01-14 Tobias Renk , Holger Jaekel , Friedrich Jondral

Predicting the future behaviour of complex systems exhibiting critical-like dynamics is often considered to be an intrinsically hard task. Here, we study the predictability of the depinning dynamics of elastic interfaces in random media…

Statistical Mechanics · Physics 2026-02-03 Valtteri Haavisto , Marcin Mińkowski , Lasse Laurson

A subcritical load on a disordered material can induce creep damage. The creep rate in this case exhibits three temporal regimes viz. an initial decelerating regime followed by a steady-state regime and a stage of accelerating creep that…

Soft Condensed Matter · Physics 2020-05-08 Soumyajyoti Biswas , David F. Castellanos , Michael Zaiser

Rate-induced tipping (R-tipping) occurs when a ramp parameter changes rapidly enough to cause the system to tip between co-existing, attracting states, while noise-induced tipping (N-tipping) occurs when there are random transitions between…

Chaotic Dynamics · Physics 2024-10-02 Katherine Slyman , Emmanuel Fleurantin , Christopher K. R. T. Jones

In stochastic multistable systems driven by the gradient of a potential, transitions between equilibria is possible because of noise. We study the ability of linear delay feedback control to mitigate these transitions, ensuring that the…

Optimization and Control · Mathematics 2020-02-06 Mohammad Farazmand

We present an approach for accelerating nonlinear model predictive control. If the current optimal input signal is saturated, also the optimal signals in subsequent time steps often are. We propose to use the open-loop optimal input signals…

Optimization and Control · Mathematics 2020-09-15 Raphael Dyrska , Ruth Mitze , Martin Mönnigmann

Here we present our Python toolbox "MR. Estimator" to reliably estimate the intrinsic timescale from electrophysiologal recordings of heavily subsampled systems. Originally intended for the analysis of time series from neuronal spiking…

Neurons and Cognition · Quantitative Biology 2021-05-11 F. P. Spitzner , J. Dehning , J. Wilting , A. Hagemann , J. P. Neto , J. Zierenberg , V. Priesemann

In real scenarios, it is often necessary and significant to control the inference speed of speech enhancement systems under different conditions. To this end, we propose a stage-wise adaptive inference approach with early exit mechanism for…

Sound · Computer Science 2021-06-23 Andong Li , Chengshi Zheng , Lu Zhang , Xiaodong Li

Noise-induced transitions between metastable fixed points in systems evolving on multiple time scales are analyzed in situations where the time scale separation gives rise to a slow manifold with bifurcation. This analysis is performed…

Statistical Mechanics · Physics 2017-10-05 Tobias Grafke , Eric Vanden-Eijnden

In this paper, we investigate the extrapolation capabilities of implicit deep learning models in handling unobserved data, where traditional deep neural networks may falter. Implicit models, distinguished by their adaptability in layer…

Machine Learning · Computer Science 2024-07-22 Juliette Decugis , Alicia Y. Tsai , Max Emerling , Ashwin Ganesh , Laurent El Ghaoui

The premise of identifiable and causal representation learning is to improve the current representation learning paradigm in terms of generalizability or robustness. Despite recent progress in questions of identifiability, more theoretical…

Machine Learning · Computer Science 2024-03-06 Sorawit Saengkyongam , Elan Rosenfeld , Pradeep Ravikumar , Niklas Pfister , Jonas Peters

Commonsense temporal reasoning at scale is a core problem for cognitive systems. The correct inference of the duration for which fluents hold is required by many tasks, including natural language understanding and planning. Many AI systems…

Artificial Intelligence · Computer Science 2025-02-14 Abhishek Sharma

Recent advances in uncertainty quantification increasingly emphasise the distinction between aleatory and epistemic uncertainty in machine learning, motivating the need for more unified frameworks. However, despite much progress in…

Machine Learning · Computer Science 2026-05-26 Yu Chen , Scott Ferson

For pulsar projects it is often necessary to predict the pulse phase in advance, for example, when preparing for new observations. Interpolation of the pulse phase between existing measurements is also often required, for example, when…

Solar and Stellar Astrophysics · Physics 2015-06-04 X. P. Deng , W. Coles , G. Hobbs , M. J. Keith , R. N. Manchester , R. M. Shannon , J. H. Zheng