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Assessment of the degree of boundedness/stability of multidimensional nonlinear systems with time-dependent and nonperiodic coefficients is an important problem in various applied areas which has no adequate resolution yet. Most of the…

动力系统 · 数学 2022-06-07 Mark A. Pinsky

We present a boosting-based method to learn additive Structural Equation Models (SEMs) from observational data, with a focus on the theoretical aspects of determining the causal order among variables. We introduce a family of score…

机器学习 · 统计学 2024-01-15 Maximilian Kertel , Nadja Klein

We analyse dissipative boundary conditions for nonlinear hyperbolic systems in one space dimension. We show that a previous known sufficient condition for exponential stability with respect to the C^1-norm is optimal. In particular a known…

偏微分方程分析 · 数学 2014-03-10 Jean-Michel Coron , Hoai-Minh Nguyen

Stability analysis and control of linear impulsive systems is addressed in a hybrid framework, through the use of continuous-time time-varying discontinuous Lyapunov functions. Necessary and sufficient conditions for stability of impulsive…

最优化与控制 · 数学 2013-11-15 Corentin Briat

In this work, we give sufficient conditions for the almost global asymptotic stability of a cascade in which the subsystems are only almost globally asymptotically stable. The result is extended to upper triangular systems of arbitrary…

最优化与控制 · 数学 2023-05-17 Jake Welde , Matthew D. Kvalheim , Vijay Kumar

We present the first numerical analysis of causal, stable first-order relativistic hydrodynamics with ideal gas microphysics, based in the formalism developed by Bemfica, Disconzi, Noronha, and Kovtun (BDNK theory). The BDNK approach…

广义相对论与量子宇宙学 · 物理学 2023-01-03 Alex Pandya , Elias R. Most , Frans Pretorius

Inspired by recent developments in the theory of stability results in the context of certain wave type phenomena, we discuss abstract damped hyperbolic type equations given in a block operator matrix form with regards to asymptotic…

偏微分方程分析 · 数学 2026-03-13 Marcus Waurick

In observational study, the propensity score has the central role to estimate causal effects. Since the propensity score is usually unknown, estimating by appropriate procedures is an indispensable step. A point to note that a causal effect…

统计方法学 · 统计学 2023-01-19 Shunichiro Orihara

We have applied thermodynamic stability analysis to derive the stability and causality conditions for conventional relativistic viscous hydrodynamics and spin hydrodynamics. We obtain the thermodynamic stability conditions for second-order…

核理论 · 物理学 2024-08-13 Xiang Ren , Chen Yang , Dong-Lin Wang , Shi Pu

In this paper, we prove several new results that give new insights into bilinear systems. We discuss conditions for asymptotic stability using probabilistic arguments. Moreover, we provide a global characterization of reachability in…

数值分析 · 数学 2021-04-02 Martin Redmann

The first-order textbook formulations of relativistic viscous hydrodynamics are unstable and acausal. These shortcomings may be rectified by using effective theories which maintain stability and causality. In this dissertation, which is…

高能物理 - 理论 · 物理学 2025-09-30 Raphael E. Hoult

Stabilization of non-stationary linear systems over noisy communication channels is considered. Stochastically stable sources, and unstable but noise-free or bounded-noise systems have been extensively studied in information theory and…

信息论 · 计算机科学 2012-05-07 Serdar Yüksel

Identifying covariates that modify treatment effects is a central problem in causal inference. Yet existing data-adaptive procedures do not provide finite-sample control over the expected number of false discoveries, risking spurious…

统计方法学 · 统计学 2026-05-12 Falco J. Bargagli-Stoffi , Omar Melikechi

We provide Lyapunov-like characterizations of boundedness and convergence of non-trivial solutions for a class of systems with unstable invariant sets. Examples of systems to which the results may apply include interconnections of stable…

动力系统 · 数学 2013-06-12 A. Gorban , I. Tyukin , E. Steur , H. Nijmeijer

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…

机器学习 · 统计学 2024-05-07 Jose Blanchet , Peng Cui , Jiajin Li , Jiashuo Liu

We consider the problem important for the condensed matter physics, superconductivity physics, and electrodynamics of continuous media - the problem of the matter dielectric permittivity possible values spectrum definition. Two ways of the…

综合物理 · 物理学 2009-10-28 Iogann Tolbatov

We consider the transport of gas in long pipes and pipeline networks for which the dynamics are dominated by friction at the pipe walls. The governing equations can be formulated as an abstract dissipative Hamiltonian system which allows us…

偏微分方程分析 · 数学 2023-04-11 Herbert Egger , Jan Giesselmann

Copositive linear Lyapunov functions are used along with dissipativity theory for stability analysis and control of uncertain linear positive systems. Unlike usual results on linear systems, linear supply-rates are employed here for…

系统与控制 · 计算机科学 2012-06-05 Corentin Briat

Background: Symbolic models, particularly decision trees, are widely used in software engineering for explainable analytics in defect prediction, configuration tuning, and software quality assessment. Most of these models rely on…

软件工程 · 计算机科学 2026-02-19 Amirali Rayegan , Tim Menzies

We introduce a framework for estimating causal effects of binary and continuous treatments in high dimensions. We show how posterior distributions of treatment and outcome models can be used together with doubly robust estimators. We…

统计方法学 · 统计学 2020-10-06 Joseph Antonelli , Georgia Papadogeorgou , Francesca Dominici