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In the stable marriage problem N men and N women have to be matched by pairs under the constraint that the resulting matching is stable. We study the statistical properties of stable matchings in the large N limit using both numerical and…

Statistical Mechanics · Physics 2009-10-31 Michael Dzierzawa , Marie-Jose Omero

The main challenge for adaptive regulation of linear-quadratic systems is the trade-off between identification and control. An adaptive policy needs to address both the estimation of unknown dynamics parameters (exploration), as well as the…

Systems and Control · Computer Science 2019-04-01 Mohamad Kazem Shirani Faradonbeh , Ambuj Tewari , George Michailidis

This paper proposes a novel orthogonal-by-construction parametrization for augmenting physics-based input-output models with a learning component in an additive sense. The parametrization allows to jointly optimize the parameters of the…

Systems and Control · Electrical Eng. & Systems 2026-02-06 Bendegúz M. Györök , Maarten Schoukens , Tamás Péni , Roland Tóth

We model dynamically changing candidate positions in the face of a dynamic electorate. To formulate our equations, we use a space-time-continuous Hegselmann-Krause equation, which we solve using a particle method. We use the combined…

Physics and Society · Physics 2025-11-21 Christoph Borgers , Natasa Dragovic , Arkadz Kirshtein

Parameter fitting of data to a proposed equation almost always consider these parameters as independent variables. Here, the method proposed optimizes an arbitrary number of variables by the minimization of a function of a single variable.…

Chemical Physics · Physics 2010-06-15 Christopher G. Jesudason

Up-to techniques are a well-known method for enhancing coinductive proofs of behavioural equivalences. We introduce up-to techniques for behavioural metrics between systems modelled as coalgebras and we provide abstract results to prove…

Logic in Computer Science · Computer Science 2018-06-29 Filippo Bonchi , Barbara König , Daniela Petrisan

In this report it is approched the Contest dynamics as mathematical theory, therefore applicable to all contest sports. Starting with the physical definition of Athlete and Couple of Athlete systems and after singling out the interaction…

General Physics · Physics 2008-06-26 Attilio Sacripanti

The sequential treatment decisions made by physicians to treat chronic diseases are formalized in the statistical literature as dynamic treatment regimes. To date, methods for dynamic treatment regimes have been developed under the…

Methodology · Statistics 2022-02-22 Janie Coulombe , Erica E. M. Moodie , Susan M. Shortreed , Christel Renoux

We study the stable marriage problem from different points of view. We proposed a microscopic dynamic that lead the system to a stationary state that we are able to characterize analytically. Then, we derive a thermodynamical description of…

Physics and Society · Physics 2009-11-11 Alejandro Lage-Castellanos , Roberto Mulet

Adaptivity to changing environments and constraints is key to success in modern society. We address this by proposing "incrementalized versions" of Stable Marriage and Stable Roommates. That is, we try to answer the following question: for…

Computer Science and Game Theory · Computer Science 2019-11-25 Robert Bredereck , Jiehua Chen , Dušan Knop , Junjie Luo , Rolf Niedermeier

We study the evolution of preferences in multi-population settings that allow matches across distinct populations. Each individual has subjective preferences over potential outcomes, and chooses a best response based on his preferences and…

Computer Science and Game Theory · Computer Science 2024-09-20 Yu-Sung Tu , Wei-Torng Juang

In this paper, we learn dynamics models for parametrized families of dynamical systems with varying properties. The dynamics models are formulated as stochastic processes conditioned on a latent context variable which is inferred from…

Machine Learning · Computer Science 2024-10-08 Jan Achterhold , Joerg Stueckler

Phase separation has emerged as an essential concept for the spatial organization inside biological cells. However, despite the clear relevance to virtually all physiological functions, we understand surprisingly little about what phases…

Biological Physics · Physics 2022-08-10 David Zwicker , Liedewij Laan

We have performed the dynamical system analysis to obtain the critical point in which, the value of the geometric and dynamical parameters satisfy the late-time cosmic behavior of the Universe. At the outset, the modified Friedmann…

General Relativity and Quantum Cosmology · Physics 2025-10-30 Rahul Bhagat , B. Mishra

Modeling the temporal behavior of data is of primordial importance in many scientific and engineering fields. Baseline methods assume that both the dynamic and observation equations follow linear-Gaussian models. However, there are many…

Machine Learning · Computer Science 2020-11-03 Xavier Alameda-Pineda , Vincent Drouard , Radu Horaud

Molecular dynamics results for the dynamic Prigogine-Defay ratio are presented for two glass-forming liquids, thus evaluating the experimentally relevant quantity for testing whether metastable-equilibrium liquid dynamics to a good…

Soft Condensed Matter · Physics 2009-11-11 Ulf R. Pedersen , Tage Christensen , Thomas B. Schrøder , Jeppe C. Dyre

Uplift modeling is an area of machine learning which aims at predicting the causal effect of some action on a given individual. The action may be a medical procedure, marketing campaign, or any other circumstance controlled by the…

Machine Learning · Computer Science 2018-07-23 Michał Sołtys , Szymon Jaroszewicz

Linear dynamical relations that may exist in continuous-time, or at some natural sampling rate, are not directly discernable at reduced observational sampling rates. Indeed, at reduced rates, matricial spectral densities of vectorial time…

Systems and Control · Computer Science 2018-07-25 Tryphon T. Georgiou , Anders Lindquist

Emotional disorders and psychological flourishing are the result of complex interactions between positive and negative affects that depend on external events and the subject's internal representations. Based on psychological data, we…

Applications · Statistics 2015-05-19 Jonathan Touboul , Alberto Romagnoni , Robert Schwartz

We facetiously suggest that the romance between Romeo and Juliet can be interpreted using modern terminology and include current temptations. Using this model, we consider various factors such as the time that they might spend consulting…

Physics and Society · Physics 2018-05-21 Raul Isea , Karl E. Lonngren