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We introduce a methodology for performing parameter inference in high-dimensional, non-linear diffusion processes. We illustrate its applicability for obtaining insights into the evolution of and relationships between species, including…

Machine Learning · Statistics 2024-11-15 Nicklas Boserup , Gefan Yang , Michael Lind Severinsen , Christy Anna Hipsley , Stefan Sommer

The identification of a nonlinear dynamic model is an open topic in control theory, especially from sparse input-output measurements. A fundamental challenge of this problem is that very few to zero prior knowledge is available on both the…

Systems and Control · Electrical Eng. & Systems 2022-06-13 Steeven Janny , Quentin Possamai , Laurent Bako , Madiha Nadri , Christian Wolf

The dynamics of systems biological processes are usually modeled by a system of ordinary differential equations (ODEs) with many unknown parameters that need to be inferred from noisy and sparse measurements. Here, we introduce…

Quantitative Methods · Quantitative Biology 2022-02-04 Mitchell Daneker , Zhen Zhang , George Em Karniadakis , Lu Lu

We propose a technique for the design and analysis of adaptation algorithms in dynamical systems. The technique applies both to systems with conventional Lyapunov-stable target dynamics and to ones of which the desired dynamics around the…

Optimization and Control · Mathematics 2007-05-23 Tyukin Ivan , Danil Prokhorov , Cees van Leeuwen

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

Physics-informed neural networks have emerged as a powerful tool in the scientific machine learning community, with applications to both forward and inverse problems. While they have shown considerable empirical success, significant…

Optimization and Control · Mathematics 2025-12-11 Federica Caforio , Martin Holler , Matthias Höfler

For the application of MPC design in on-line regulation or tracking control problems, several studies have attempted to develop an accurate model, and realize adequate uncertainty description of linear or non-linear plants of the processes.…

Optimization and Control · Mathematics 2019-04-03 Yuanqiang Zhou , Dewei Li , Yugeng Xi , Zhongxue Gan

The performance of data fusion and tracking algorithms often depends on parameters that not only describe the sensor system, but can also be task-specific. While for the sensor system tuning these variables is time-consuming and mostly…

Machine Learning · Computer Science 2024-01-29 André Brandenburger , Folker Hoffmann , Alexander Charlish

The efforts associated with parametrization of continuum-based models for crystal plasticity are a significant obstacle for the routine use of these models in materials science and engineering. While phenomenological constitutive…

Materials Science · Physics 2025-02-18 Nikhil Prabhu , Martin Diehl

In this work, we define a practical identifiability criterion, (e, q)-identifiability, based on a parameter e, reflecting the noise in observed variables, and a parameter q, reflecting the mean-square error of the parameter estimator. This…

Methodology · Statistics 2026-03-13 Nora Heitzman-Breen , Vanja Dukic , David M. Bortz

Parameter inference of dynamical systems is a challenging task faced by many researchers and practitioners across various fields. In many applications, it is common that only limited variables are observable. In this paper, we propose a…

Methodology · Statistics 2020-01-01 Yu Chen , Jin Cheng , Arvind Gupta , Huaxiong Huang , Shixin Xu

Optimum parameter estimation methods require knowledge of a parametric probability density that statistically describes the available observations. In this work we examine Bayesian and non-Bayesian parameter estimation problems under a…

Applications · Statistics 2022-02-01 George V. Moustakides

Foundational vision transformer models have shown impressive few shot performance on many vision tasks. This research presents a novel investigation into the application of parameter efficient fine-tuning methods within an active learning…

Computer Vision and Pattern Recognition · Computer Science 2024-06-17 Athmanarayanan Lakshmi Narayanan , Ranganath Krishnan , Amrutha Machireddy , Mahesh Subedar

There is a growing interest in data-driven control of nonlinear systems over the last years. In contrast to related works, this paper takes a step back and aims to solve the output matching problem, a problem closely related to the…

Optimization and Control · Mathematics 2023-02-27 Leander Hemelhof , Ivan Markovsky , Panagiotis Patrinos

To fully understand, analyze, and determine the behavior of dynamical systems, it is crucial to identify their intrinsic modal coordinates. In nonlinear dynamical systems, this task is challenging as the modal transformation based on the…

Machine Learning · Computer Science 2025-03-13 Abdolvahhab Rostamijavanani , Shanwu Li , Yongchao Yang

The performance of machine learning models is determined by the quality of their learned features. They should be invariant under irrelevant data variation but sensitive to task-relevant details. To visualize whether this is the case, we…

Machine Learning · Computer Science 2026-03-24 Armand Rousselot , Joran Wendebourg , Ullrich Köthe

We prove identifiability of parameters for a broad class of random graph mixture models. These models are characterized by a partition of the set of graph nodes into latent (unobservable) groups. The connectivities between nodes are…

Statistics Theory · Mathematics 2010-06-07 Elizabeth S. Allman , Catherine Matias , John A. Rhodes

We present a data-driven numerical approach for modeling unknown dynamical systems with missing/hidden parameters. The method is based on training a deep neural network (DNN) model for the unknown system using its trajectory data. A key…

Machine Learning · Statistics 2022-02-07 Xiaohan Fu , Weize Mao , Lo-Bin Chang , Dongbin Xiu

This paper introduces a computational framework to identify nonlinear input-output operators that fit a set of system trajectories while satisfying incremental integral quadratic constraints. The data fitting algorithm is thus regularized…

Optimization and Control · Mathematics 2021-10-25 Henk J. van Waarde , Rodolphe Sepulchre

Choosing a suitable model and determining its associated parameters from fitting to experimental data is fundamental for many problems in biomechanics. Models of shear-thinning complex fluids, dating from the work of Bird, Carreau, Cross…