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Locomotion in the real world involves unexpected perturbations, and therefore requires strategies to maintain stability to successfully execute desired behaviours. Ensuring the safety of locomoting systems therefore necessitates a…

Systems and Control · Computer Science 2016-04-05 Victor Shia , Talia Moore , Ruzena Bajcsy , Ram Vasudevan

A new measure to characterize stability of complex dynamical systems against large perturbation is suggested, the stability threshold (ST). It quantifies the magnitude of the weakest perturbation capable to disrupt the system and switch it…

Chaotic Dynamics · Physics 2016-01-06 Vladimir V. Klinshov , Vladimir I. Nekorkin , Jürgen Kurths

Clinical prediction models estimate an individual's risk of a particular health outcome, conditional on their values of multiple predictors. A developed model is a consequence of the development dataset and the chosen model building…

Methodology · Statistics 2024-07-15 Richard D Riley , Gary S Collins

As the use of machine learning in high impact domains becomes widespread, the importance of evaluating safety has increased. An important aspect of this is evaluating how robust a model is to changes in setting or population, which…

Machine Learning · Computer Science 2021-03-16 Adarsh Subbaswamy , Roy Adams , Suchi Saria

Falls are the leading cause of fatal and non-fatal injuries, particularly for older persons. Imbalance can result from the body's internal causes (illness), or external causes (active or passive perturbation). Active perturbation results…

Robotics · Computer Science 2023-03-07 Weizhuo Wang , Michael Raitor , Steve Collins , C. Karen Liu , Monroe Kennedy

An attractor of a dynamical system may represent the system's 'desirable' state. Perturbations to the system may push the system out of the basin of attraction of the desirable attractor and into undesirable states. Hence, it is important…

Chaotic Dynamics · Physics 2024-08-15 Calvin Alvares , Soumitro Banerjee

Sit-to-stand transitions are an important part of activities of daily living and play a key role in functional mobility in humans. The sit-to-stand movement is often affected in older adults due to frailty and in patients with motor…

Postural sway assessment is important for detecting balance problems and identifying people at risk of falls. Force plates (FP) are considered the gold standard postural sway assessment method in laboratory conditions, but their lack of…

Signal Processing · Electrical Eng. & Systems 2025-07-28 Abishek Shrestha , Damith Herath , Angie Fearon , Maryam Ghahramani

This paper proposes a novel method for determining the number of factors in linear factor models under stability considerations. An instability measure is proposed based on the principal angle between the estimated loading spaces obtained…

Methodology · Statistics 2024-09-13 Sze Ming Lee , Yunxiao Chen

Input-to-State Stability (ISS) is fundamental in mathematically quantifying how stability degrades in the presence of bounded disturbances. If a system is ISS, its trajectories will remain bounded, and will converge to a neighborhood of an…

Systems and Control · Electrical Eng. & Systems 2023-05-01 Preston Culbertson , Ryan K. Cosner , Maegan Tucker , Aaron D. Ames

The performance of learning models often deteriorates when deployed in out-of-sample environments. To ensure reliable deployment, we propose a stability evaluation criterion based on distributional perturbations. Conceptually, our stability…

Machine Learning · Statistics 2024-05-07 Jose Blanchet , Peng Cui , Jiajin Li , Jiashuo Liu

Turbulence in wall-bounded flows is characterized by stable statistics. Although, in many turbulent systems, this stable statistical state corresponds to a stable fixed point of an associated statistical state dynamics (SSD) closed at…

Fluid Dynamics · Physics 2023-12-14 Brian F. Farrell , Petros J. Ioannou

Balance is the fundamental skill behind human locomotion, and its impairment is the principal indicator of self-perceived disability. Despite significant improvements in balance assessment, there is still large incidence of fall related…

Robotics · Computer Science 2018-09-05 Carlo Tiseo , Ming Jeat Foo , Kalyana C Veluvolu , Wei Tech Ang

Real-world autonomous systems often employ probabilistic predictive models of human behavior during planning to reason about their future motion. Since accurately modeling human behavior a priori is challenging, such models are often…

Robotics · Computer Science 2020-04-07 Somil Bansal , Andrea Bajcsy , Ellis Ratner , Anca D. Dragan , Claire J. Tomlin

In this study, a new and natural way of constructing a stochastic Susceptible-Infected-Susceptible (SIS) model is proposed. This approach is natural in the sense that the disease transmission rate, $\beta$, is substituted with a generic,…

Probability · Mathematics 2025-11-07 Berk Tan Perçin

Dynamical entities interacting with each other on complex networks often exhibit multistability. The stability of a desired steady regime (e.g., a synchronized state) to large perturbations is critical in the operation of many real-world…

Chaotic Dynamics · Physics 2017-03-22 Chiranjit Mitra , Anshul Choudhary , Sudeshna Sinha , Jürgen Kurths , Reik V. Donner

In this paper, we present a novel data-driven approach to quantify safety for non-linear, discrete-time stochastic systems with unknown noise distribution. We define safety as the probability that the system remains in a given region of the…

Systems and Control · Electrical Eng. & Systems 2024-10-10 Frederik Baymler Mathiesen , Licio Romao , Simeon C. Calvert , Luca Laurenti , Alessandro Abate

Basin stability (BS) is a measure of nonlinear stability in multi-stable dynamical systems. BS has previously been estimated using Monte-Carlo simulations, which requires the explicit knowledge of a dynamical model. We discuss the…

Data Analysis, Statistics and Probability · Physics 2021-12-08 Adrian van Kan , Jannes Jegminat , Jonathan Donges

When a system has more than one stable state, how can the stability of these states be compared? This deceptively simple question has important consequences for ecosystems, because systems with alternative stable states can undergo dramatic…

Populations and Evolution · Quantitative Biology 2015-10-26 Ben C. Nolting , Karen C. Abbott

Stance Detection (StD) aims to detect an author's stance towards a certain topic or claim and has become a key component in applications like fake news detection, claim validation, and argument search. However, while stance is easily…

Computation and Language · Computer Science 2020-01-07 Benjamin Schiller , Johannes Daxenberger , Iryna Gurevych
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