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Longitudinal studies with binary or ordinal responses are widely encountered in various disciplines, where the primary focus is on the temporal evolution of the probability of each response category. Traditional approaches build from the…

Methodology · Statistics 2024-09-04 Jizhou Kang , Athanasios Kottas

A simple model of macroevolution is proposed exhibiting both the property of punctuated equilibrium and the dynamics of potentialities for different species to evolve towards increasingly higher complexity. It is based on the phenomenon of…

Biological Physics · Physics 2007-05-23 Siegfried Fussy , Gerhard Groessing , Herbert Schwabl

We demonstrate how to use feedback to control the internal states of trapped coherent ensembles of two-level atoms, and to protect a superposition state against the decoherence induced by a collective noise. Our feedback scheme is based on…

Atomic Physics · Physics 2015-05-05 T. Vanderbruggen , R. Kohlhaas , A. Bertoldi , S. Bernon , A. Aspect , A. Landragin , P. Bouyer

The complexity of an ecological community can be distilled into a network, where diverse interactions connect species in a web of dependencies. Species interact not only with each other but indirectly through environmental effects, however…

Populations and Evolution · Quantitative Biology 2020-09-09 Justin D. Yeakel , Mathias M. Pires , Marcus A. M. de Aguiar , James L. O'Donnell , Paulo R. Guimarães , Dominique Gravel , Thilo Gross

A novel extrapolation method is proposed for longitudinal forecasting. A hierarchical Gaussian process model is used to combine nonlinear population change and individual memory of the past to make prediction. The prediction error is…

Methodology · Statistics 2014-08-25 Leo L. Duan , John P. Clancy , Rhonda D. Szczesniak

While biological vision systems rely heavily on feedback connections to iteratively refine perception, most artificial neural networks remain purely feedforward, processing input in a single static pass. In this work, we propose a…

Computer Vision and Pattern Recognition · Computer Science 2025-07-15 David Calhas , Arlindo L. Oliveira

The proper functioning of multicellular organisms requires the robust establishment of precise proportions between distinct cell-types. This developmental differentiation process typically involves intracellular regulatory and stochastic…

Cell Behavior · Quantitative Biology 2016-06-22 Benjamin Pfeuty , Kunihiko Kaneko

Nonreciprocal interactions are commonplace in continuum-level descriptions of both biological and synthetic active matter, yet studies addressing their implications for time-reversibility have so far been limited to microscopic models.…

Statistical Mechanics · Physics 2023-04-19 Henry Alston , Luca Cocconi , Thibault Bertrand

Networks of globally coupled, noise activated, bistable elements with connection time delays are considered. The dynamics of these systems is studied numerically using a Langevin description and analytically using (1) a Gaussian…

Statistical Mechanics · Physics 2009-11-11 Daniel Huber , Lev Tsimring

We use series expansions to study dynamics of equilibrium and non-equilibrium systems on networks. This analytical method enables us to include detailed non-universal effects of the network structure. We show that even low order…

Disordered Systems and Neural Networks · Physics 2009-11-11 M. B. Hastings

We develop an adaptive feedback control technique that combines an extremum-seeking-based command generator (ECG) with indirect adaptive control. In particular, ECG is used to generate commands that asymptotically optimize a cost function…

Optimization and Control · Mathematics 2026-05-07 Jhon Manuel Portella Delgado , Aidan Rice , Jacob C. Vander Schaaf , Dennis S. Bernstein

Complex change is often described as "evolutionary" in economics, policy, and technology, yet most system dynamics models remain constrained to fixed state spaces and equilibrium-seeking behavior. This paper argues that evolutionary…

Populations and Evolution · Quantitative Biology 2026-02-19 Dan Adler

This paper presents a novel centralized, variational data assimilation approach for calibrating transient dynamic models in electrical power systems, focusing on load model parameters. With the increasing importance of inverter-based…

Optimization and Control · Mathematics 2023-11-15 Ahmed Attia , D. Adrian Maldonado , Emil Constantinescu , Mihai Anitescu

We use analytical techniques based on an expansion in the inverse system size to study the stochastic evolutionary dynamics of finite populations of players interacting in a repeated prisoner's dilemma game. We show that a mechanism of…

Populations and Evolution · Quantitative Biology 2012-04-20 Alex J. Bladon , Tobias Galla , Alan J. McKane

Using microscopic price models based on Hawkes processes, it has been shown that under some no-arbitrage condition, the high degree of endogeneity of markets together with the phenomenon of metaorders splitting generate rough Heston-type…

Statistical Finance · Quantitative Finance 2021-01-20 Aditi Dandapani , Paul Jusselin , Mathieu Rosenbaum

A theoretical framework is developed for a precise control of spatial patterns in oscillatory media using nonlinear global feedback, where a proper form of the feedback function corresponding to a specific pattern is predicted through the…

Pattern Formation and Solitons · Physics 2009-11-13 Yasuaki Kobayashi , Hiroshi Kori

Robotic systems operating in real-world environments inevitably encounter unobserved dynamics shifts during continuous execution, including changes in actuation, mass distribution, or contact conditions. When such shifts occur mid-episode,…

Stabilization of linear control systems with parameter-dependent system matrices is investigated. A Riccati based feedback mechanism is proposed and analyzed. It is constructed by means of an ensemble of parameters from a training set. This…

Optimization and Control · Mathematics 2023-06-05 Philipp A. Guth , Karl Kunisch , Sergio S. Rodrigues

Extreme sensor sparsity makes full-field reconstruction a fundamentally ill-posed problem in scientific sensing,where the goal is to infer physical fields from sparse measurements.In this regime,the posterior is severely underconstrained…

Machine Learning · Computer Science 2026-05-27 Letian Yi , Tingpeng Zhang , Mingyuan Zhou , Guannan Wang , Quanke Su , Zhilu Lai

We investigate the structure of non-equilibrium steady states (NESS) for a class of exactly solvable models in the setting of a chain with left and right reservoirs. Inspired by recent results on the harmonic model, we focus on models in…

Probability · Mathematics 2025-12-02 Frank Redig , Berend van Tol
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