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This paper analyzes the classical linear regression model with measurement errors in all the variables. First, we provide necessary and sufficient conditions for identification of the coefficients. We show that the coefficients are not…

Methodology · Statistics 2023-06-22 Dan Ben-Moshe

In this note, we propose a novel approach for a class of autonomous dynamical systems that allows, given some observations of the solutions, to identify its parameters and reconstruct the state vector. This approach relies on proving the…

Dynamical Systems · Mathematics 2024-08-22 Alicja B Kubik , Alain Rapaport , Benjamin Ivorra , Ángel M Ramos

We study identifiability in continuous-time linear stationary stochastic differential equations with known causal structure. Unlike existing approaches, we relax the assumption of a known diffusion matrix, thereby respecting the model's…

Statistics Theory · Mathematics 2026-03-10 Gijs van Seeventer , Saber Salehkaleybar

We propose generalized additive partial linear models for complex data which allow one to capture nonlinear patterns of some covariates, in the presence of linear components. The proposed method improves estimation efficiency and increases…

Statistics Theory · Mathematics 2014-05-26 Li Wang , Lan Xue , Annie Qu , Hua Liang

In todays age of data, discovering relationships between different variables is an interesting and a challenging problem. This problem becomes even more critical with regards to complex dynamical systems like weather forecasting and…

Data Analysis, Statistics and Probability · Physics 2021-02-01 Sachin Kasture

Uniform and smooth data collection is often infeasible in real-world scenarios. In this paper, we propose an identification framework to effectively handle the so-called non-uniform observations, i.e., data scenarios that include missing…

Systems and Control · Electrical Eng. & Systems 2025-06-09 Cesare Donati , Martina Mammarella , Fabrizio Dabbene , Carlo Novara , Constantino Lagoa

We propose an approach for learning the causal structure in stochastic dynamical systems with a $1$-step functional dependency in the presence of latent variables. We propose an information-theoretic approach that allows us to recover the…

Information Theory · Computer Science 2017-01-25 Saber Salehkaleybar , Jalal Etesami , Negar Kiyavash

In the present paper, two existing nonlinear system identification methodologies are used to identify data-driven models. The first methodology focuses on identifying the system using steady-state excitations. To accomplish this, a…

Systems and Control · Electrical Eng. & Systems 2020-11-18 Maren Scheel , Gleb Kleyman , Ali Tatar , Matthew R. W. Brake , Simon Peter , Jean-Philippe Noël , Matthew S. Allen , Malte Krack

Many structural econometric models include latent variables on whose probability distributions one may wish to place minimal restrictions. Leading examples in panel data models are individual-specific variables sometimes treated as "fixed…

Econometrics · Economics 2024-01-15 Andrew Chesher , Adam M. Rosen , Yuanqi Zhang

In this work we present a system identification procedure based on Convolutional Neural Networks (CNN) for human posture control models. A usual approach to the study of human posture control consists in the identification of parameters for…

Robotics · Computer Science 2020-06-09 Vittorio Lippi , Thomas Mergner , Christoph Maurer

System identification is a key step for model-based control, estimator design, and output prediction. This work considers the offline identification of partially observed nonlinear systems. We empirically show that the certainty-equivalent…

Machine Learning · Computer Science 2020-06-23 Kunal Menda , Jean de Becdelièvre , Jayesh K. Gupta , Ilan Kroo , Mykel J. Kochenderfer , Zachary Manchester

We consider the problem of deriving from experimental data an approximation of an unknown function, whose derivatives also approximate the unknown function derivatives. Solving this problem is useful, for instance, in the context of…

Systems and Control · Electrical Eng. & Systems 2019-11-11 Carlo Novara , Angelo Nicolì , Giuseppe C. Calafiore

In this article, we review quantile models with endogeneity. We focus on models that achieve identification through the use of instrumental variables and discuss conditions under which partial and point identification are obtained. We…

Applications · Statistics 2017-10-03 Victor Chernozhukov , Christian Hansen

Physically interpretable models are essential for next-generation industrial systems, as these representations enable effective control, support design validation, and provide a foundation for monitoring strategies. The aim of this paper is…

Systems and Control · Electrical Eng. & Systems 2026-04-01 Maarten van der Hulst , Rodrigo A. González , Koen Classens , Paul Tacx , Nick Dirkx , Jeroen van de Wijdeven , Tom Oomen

A large variety of dynamical systems, such as chemical and biomolecular systems, can be seen as networks of nonlinear entities. Prediction, control, and identification of such nonlinear networks require knowledge of the state of the system.…

Optimization and Control · Mathematics 2018-06-27 Aleksandar Haber , Ferenc Molnar , Adilson E. Motter

Active learning is proposed for selection of the next operating points in the design of experiments, for identifying linear parameter-varying systems. We extend existing approaches found in literature to multiple-input multiple-output…

Systems and Control · Electrical Eng. & Systems 2020-05-05 Robert Chin , Alejandro I. Maass , Nalika Ulapane , Chris Manzie , Iman Shames , Dragan Nešić , Jonathan E. Rowe , Hayato Nakada

We introduce a general class of autoregressive models for studying the dynamic of multivariate binary time series with stationary exogenous covariates. Using a high-level set of assumptions, we show that existence of a stationary path for…

Statistics Theory · Mathematics 2024-07-16 Guillaume Franchi , Lionel Truquet

We introduce a new framework for characterizing identified sets of structural and counterfactual parameters in econometric models. By reformulating the identification problem as a set membership question, we leverage the separating…

Econometrics · Economics 2024-12-31 Irene Botosaru , Isaac Loh , Chris Muris

We show that a dynamic logit model for binary panel data allowing for state dependence and unobserved heterogeneity may be accurately approximated by a quadratic exponential model, the parameters of which have the same interpretation that…

Statistics Theory · Mathematics 2007-06-13 Francesco Bartolucci , Valentina Nigro

Spatial models for occupancy data are used to estimate and map the true presence of a species, which may depend on biotic and abiotic factors as well as spatial autocorrelation. Traditionally researchers have accounted for spatial…

Applications · Statistics 2021-05-05 Narmadha M. Mohankumar , Trevor J. Hefley
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