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Neural ordinary differential equations (NODE) have been recently proposed as a promising approach for nonlinear system identification tasks. In this work, we systematically compare their predictive performance with current state-of-the-art…

Machine Learning · Computer Science 2022-03-16 Aowabin Rahman , Ján Drgoňa , Aaron Tuor , Jan Strube

We present a general system identification procedure capable of estimating of a broad spectrum of state-space dynamical models, including linear time-invariant (LTI), linear parameter-varying} (LPV), and nonlinear (NL) dynamics, along with…

Optimization and Control · Mathematics 2025-04-17 Alberto Bemporad , Roland Tóth

In this work, we consider the problem of robust parameter estimation from observational data in the context of linear structural equation models (LSEMs). LSEMs are a popular and well-studied class of models for inferring causality in the…

Machine Learning · Computer Science 2020-07-15 Karthik Abinav Sankararaman , Anand Louis , Navin Goyal

We study identifiability of the parameters in autoregressions defined on a network. Most identification conditions that are available for these models either rely on the network being observed repeatedly, are only sufficient, or require…

Econometrics · Economics 2022-06-06 Federico Martellosio

We describe a method for the identification of models for dynamical systems from observational data. The method is based on the concept of symbolic regression and uses genetic programming to evolve a system of ordinary differential…

Machine Learning · Computer Science 2021-07-14 Gabriel Kronberger , Lukas Kammerer , Michael Kommenda

In parametric, nonlinear structural models a classical sufficient condition for local identification, like Fisher (1966) and Rothenberg (1971), is that the vector of moment conditions is differentiable at the true parameter with full rank…

Statistics Theory · Mathematics 2023-08-28 Xiaohong Chen , Victor Chernozhukov , Sokbae Lee , Whitney K. Newey

We show how to transform a non-differentiable rasterizer into a differentiable one with minimal engineering efforts and no external dependencies (no Pytorch/Tensorflow). We rely on Stochastic Gradient Estimation, a technique that consists…

Graphics · Computer Science 2024-04-18 Thomas Deliot , Eric Heitz , Laurent Belcour

We establish nonparametric identification in a class of so-called index models using a novel approach that relies on general topological results. Our proof strategy requires substantially weaker conditions on the functions and distributions…

Econometrics · Economics 2020-04-20 Mogens Fosgerau , Dennis Kristensen

Professional networks provide invaluable entree to opportunity through referrals and introductions. A rich literature shows they also serve to entrench and even exacerbate a status quo of privilege and disadvantage. Hiring platforms,…

Machine Learning · Computer Science 2024-11-27 Cynthia Dwork , Chris Hays , Nicole Immorlica , Juan C. Perdomo , Pranay Tankala

Nonlinear dynamic models are widely used for characterizing functional forms of processes that govern complex biological pathway systems. Over the past decade, validation and further development of these models became possible due to data…

Methodology · Statistics 2019-08-13 Itai Dattner , Shota Gugushvili , Harold Ship , Eberhard O. Voit

The bifactor model and its extensions are multidimensional latent variable models, under which each item measures up to one subdimension on top of the primary dimension(s). Despite their wide applications to educational and psychological…

Statistics Theory · Mathematics 2020-12-23 Guanhua Fang , Xin Xu , Jinxin Guo , Zhiliang Ying , Susu Zhang

With nonignorable missing data, likelihood-based inference should be based on the joint distribution of the study variables and their missingness indicators. These joint models cannot be estimated from the data alone, thus requiring the…

Statistics Theory · Mathematics 2017-01-06 Mauricio Sadinle , Jerome P. Reiter

Parameter estimation is a major challenge in computational modeling of biological processes. This is especially the case in image-based modeling where the inherently quantitative output of the model is measured against image data, which is…

Quantitative Methods · Quantitative Biology 2018-07-27 Diana Barac , Michael D. Multerer , Dagmar Iber

We present a new method for statistical verification of quantitative properties over a partially unknown system with actions, utilising a parameterised model (in this work, a parametric Markov decision process) and data collected from…

Machine Learning · Computer Science 2017-07-06 Elizabeth Polgreen , Viraj Wijesuriya , Sofie Haesaert , Alessandro Abate

An efficient structural identifiability analysis algorithm is developed in this study for a broad range of network structures. The proposed method adopts the Wright's path coefficient method to generate identifiability equations in forms of…

Molecular Networks · Quantitative Biology 2017-08-25 Yulin Wang , Na Lu , Hongyu Miao

Balancing the model complexity and the representation capability towards the process to be captured remains one of the main challenges in nonlinear system identification. One possibility to reduce model complexity is to impose structure on…

Systems and Control · Electrical Eng. & Systems 2020-04-13 Maarten Schoukens , Roland Toth

This paper explores unsupervised learning of parsing models along two directions. First, which models are identifiable from infinite data? We use a general technique for numerically checking identifiability based on the rank of a Jacobian…

Machine Learning · Statistics 2012-06-15 Daniel Hsu , Sham M. Kakade , Percy Liang

Symbolic regression is a powerful system identification technique in industrial scenarios where no prior knowledge on model structure is available. Such scenarios often require specific model properties such as interpretability, robustness,…

Parameter inference and uncertainty quantification are important steps when relating mathematical models to real-world observations, and when estimating uncertainty in model predictions. However, methods for doing this can be…

Quantitative Methods · Quantitative Biology 2025-08-27 Michael J. Plank , Matthew J. Simpson

The performance of sparse matrix computation highly depends on the matching of the matrix format with the underlying structure of the data being computed on. Different sparse matrix formats are suitable for different structures of data.…

Numerical Analysis · Mathematics 2023-09-07 Khaled Abdelaal , Richard Veras
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