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We introduce a simple method to estimate the system parameters in continuous dynamical systems from the time series. In this method, we construct a modified system by introducing some constants (controlling constants) into the given…

混沌动力学 · 物理学 2009-11-10 P. Palaniyandi , M. Lakshmanan

Opinion dynamics concerns social processes through which populations or groups of individuals agree or disagree on specific issues. As such, modelling opinion dynamics represents an important research area that has been progressively…

物理与社会 · 物理学 2013-09-06 Alina Sîrbu , Vittorio Loreto , Vito D. P. Servedio , Francesca Tria

Modeling biological processes is a highly demanding task because not all processes are fully understood. Mathematical models allow us to test hypotheses about possible mechanisms of biological processes. The mathematical mechanisms…

数值分析 · 数学 2023-12-11 Cordula Reisch , Hannah Burmester

In this paper, we address tracking of a time-varying parameter with unknown dynamics. We formalize the problem as an instance of online optimization in a dynamic setting. Using online gradient descent, we propose a method that sequentially…

机器学习 · 计算机科学 2016-03-17 Aryan Mokhtari , Shahin Shahrampour , Ali Jadbabaie , Alejandro Ribeiro

In this work we discuss the impact of nuisance parameters on the effectiveness of machine learning in high-energy physics problems, and provide a review of techniques that allow to include their effect and reduce their impact in the search…

机器学习 · 统计学 2021-01-19 Tommaso Dorigo , Pablo de Castro

The dynamic range is an important parameter which measures the spread of sound power, and for music signals it is a measure of recording quality. There are various descriptive measures of sound power, none of which has strong statistical…

应用统计 · 统计学 2018-02-15 Pietro Coretto , Francesco Giordano

A method for sequential Bayesian inference of the static parameters of a dynamic state space model is proposed. The method is based on the observation that many dynamic state space models have a relatively small number of static parameters…

统计计算 · 统计学 2017-06-28 Arnab Bhattacharya , Simon Wilson

Ordinary Differential Equations are widespread tools to model chemical, physical, biological process but they usually rely on parameters which are of critical importance in terms of dynamic and need to be estimated directly from the data.…

统计方法学 · 统计学 2014-10-29 Nicolas Brunel , Quentin Clairon

Maximum likelihood estimation is effective for identifying dynamical systems, but applying it to large networks becomes computationally prohibitive. This paper introduces a maximum likelihood estimation method that enables identification of…

系统与控制 · 电气工程与系统科学 2025-11-06 João Victor Galvão da Mata , Anders Hansson , Martin S. Andersen

Describing the evolution of quantum systems by means of non-Hermitian generators opens a new avenue to explore the dynamical properties naturally emerging in such a picture, e.g. operation at the so-called exceptional points, preservation…

量子物理 · 物理学 2023-12-01 Javid Naikoo , Ravindra W. Chhajlany , Jan Kolodynski

Many popular estimation methods in panel data rely on the assumption that the covariates of interest are strictly exogenous. However, this assumption is empirically restrictive in a wide range of settings. In this paper I argue that…

计量经济学 · 经济学 2025-12-22 Stephane Bonhomme

Expressive evaluation metrics are indispensable for informative experiments in all areas, and while several metrics are established in some areas, in others, such as feature selection, only indirect or otherwise limited evaluation metrics…

机器学习 · 计算机科学 2025-01-17 Muhammad Rajabinasab , Anton D. Lautrup , Tobias Hyrup , Arthur Zimek

The paper studies asymptotic properties of estimators of multidimensional stochastic differential equations driven by Brownian motions from high-frequency discrete data. Consistency and central limit properties of a class of estimators of…

统计理论 · 数学 2024-11-07 Arnab Ganguly

We present several methods for predicting the dynamics of Hamiltonian systems from discrete observations of their vector field. Each method is either informed or uninformed of the Hamiltonian property. We empirically and comparatively…

机器学习 · 计算机科学 2023-12-18 Zi-Yu Khoo , Delong Zhang , Stéphane Bressan

Gradient Symbolic Computation is proposed as a means of solving discrete global optimization problems using a neurally plausible continuous stochastic dynamical system. Gradient symbolic dynamics involves two free parameters that must be…

计算与语言 · 计算机科学 2018-01-12 Paul Tupper , Paul Smolensky , Pyeong Whan Cho

Differential equations are a ubiquitous tool to study dynamics, ranging from physical systems to complex systems, where a large number of agents interact through a graph with non-trivial topological features. Data-driven approximations of…

统计力学 · 物理学 2024-04-26 Vaiva Vasiliauskaite , Nino Antulov-Fantulin

We introduce a generic class of dynamic nonlinear heterogeneous parameter models that incorporate individual and time fixed effects in both the intercept and slope. These models are subject to the incidental parameter problem, in that the…

计量经济学 · 经济学 2026-01-27 Xuan Leng , Jiaming Mao , Yutao Sun

Bridging the sim-to-real gap remains a fundamental challenge in robotics, as accurate dynamic parameter estimation is essential for reliable model-based control, realistic simulation, and safe deployment of manipulators. Traditional…

机器人学 · 计算机科学 2025-12-10 Mohammed Elseiagy , Tsige Tadesse Alemayoh , Ranulfo Bezerra , Shotaro Kojima , Kazunori Ohno

We introduce a novel generative formulation of deep probabilistic models implementing "soft" constraints on their function dynamics. In particular, we develop a flexible methodological framework where the modeled functions and derivatives…

机器学习 · 统计学 2018-06-19 Marco Lorenzi , Maurizio Filippone

Accurate estimation for extent of cross{sectional dependence in large panel data analysis is paramount to further statistical analysis on the data under study. Grouping more data with weak relations (cross{sectional dependence) together…

计量经济学 · 经济学 2019-04-16 Jiti Gao , Guangming Pan , Yanrong Yang , Bo Zhang
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