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Model identification is a crucial problem in chemical industries. In recent years, there has been increasing interest in learning data-driven models utilizing partial knowledge about the system of interest. Most techniques for model…

Machine Learning · Computer Science 2020-07-09 Deepak Maurya , Sivadurgaprasad Chinta , Abhishek Sivaram , Raghunathan Rengaswamy

The problems of observability and identifiability have been of great interest as previous steps to estimating parameters and initial conditions of dynamical systems to which some known data (observations) are associated. While most works…

Dynamical Systems · Mathematics 2025-06-16 Alicja B Kubik , Benjamin Ivorra , Alain Rapaport , Ángel M Ramos

Predicting traits from images lacking visual cues is challenging, as algorithms are designed to capture visually correlated ground truth. This problem is critical in biomedical sciences, and their solution can improve the efficacy of…

Image and Video Processing · Electrical Eng. & Systems 2024-07-30 Shivam Kumar , Samrat Chatterjee

There has been growing interest in recent years in Q-matrix based cognitive diagnosis models. Parameter estimation and respondent classification under these models may suffer due to identifiability issues. Non-identifiability can be…

Methodology · Statistics 2013-03-05 Stephanie S. Zhang , Lawrence T. DeCarlo , Zhiliang Ying

Structural parameter identifiability is a property of a differential model with parameters that allows for the parameters to be determined from the model equations in the absence of noise. One of the standard approaches to assessing this…

Algebraic Geometry · Mathematics 2020-12-29 Alexey Ovchinnikov , Gleb Pogudin , Peter Thompson

Epidemiological compartmental models are useful for understanding infectious disease propagation and directing public health policy decisions. Calibration of these models is an important step in offering accurate forecasts of disease…

Machine Learning · Computer Science 2023-12-12 Nikunj Gupta , Anh Mai , Azza Abouzied , Dennis Shasha

Elimination of unknowns in a system of differential equations is often required when analysing (possibly nonlinear) dynamical systems models, where only a subset of variables are observable. One such analysis, identifiability, often relies…

Algebraic Geometry · Mathematics 2022-11-28 Ruiwen Dong , Christian Goodbrake , Heather A Harrington , Gleb Pogudin

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

Protein design has the potential to revolutionize biotechnology and medicine. While most efforts have focused on proteins with well-defined structures, increased recognition of the functional significance of intrinsically disordered…

Biomolecules · Quantitative Biology 2025-09-17 Giulio Tesei , Francesco Pesce , Kresten Lindorff-Larsen

Causal structure learning refers to a process of identifying causal structures from observational data, and it can have multiple applications in biomedicine and health care. This paper provides a practical review and tutorial on scalable…

Machine Learning · Computer Science 2023-01-20 Pulakesh Upadhyaya , Kai Zhang , Can Li , Xiaoqian Jiang , Yejin Kim

In this paper, we provide an extensive overview of machine learning techniques applied to structural magnetic resonance imaging (MRI) data to obtain clinical classifiers. We specifically address practical problems commonly encountered in…

Quantitative Methods · Quantitative Biology 2018-08-20 José María Mateos-Pérez , Mahsa Dadar , María Lacalle-Aurioles , Yasser Iturria-Medina , Yashar Zeighami , Alan C. Evans

In real-world scenarios classification models are often required to perform robustly when predicting samples belonging to classes that have not appeared during its training stage. Open Set Recognition addresses this issue by devising models…

Machine Learning · Computer Science 2024-01-08 Marcos Barcina-Blanco , Jesus L. Lobo , Pablo Garcia-Bringas , Javier Del Ser

Interpreting data with mathematical models is an important aspect of real-world industrial and applied mathematical modeling. Often we are interested to understand the extent to which a particular set of data informs and constrains model…

Methodology · Statistics 2025-03-06 Matthew J Simpson , Ruth E Baker

Compartmental models are valuable tools for investigating infectious diseases. Researchers building such models typically begin with a simple structure where compartments correspond to individuals with different epidemiological statuses,…

Populations and Evolution · Quantitative Biology 2023-07-21 Darren Flynn-Primrose , Steven C. Walker , Michael Li , Benjamin M. Bolker , David J. D. Earn , Jonathan Dushoff

Phenomenological models are highly effective tools for forecasting disease dynamics using real world data, particularly in scenarios where detailed knowledge of disease mechanisms is limited. However, their reliability depends on the model…

Quantitative Methods · Quantitative Biology 2025-03-31 Yuganthi R. Liyanage , Gerardo Chowell , Gleb Pogudin , Necibe Tuncer

Integrative modeling of macromolecular assemblies allows for structural characterization of large assemblies that are recalcitrant to direct experimental observation. A Bayesian inference approach facilitates combining data from…

Biomolecules · Quantitative Biology 2026-01-13 Shreyas Arvindekar , Kartik Majila , Shruthi Viswanath

When employing mechanistic models to study biological phenomena, practical parameter identifiability is important for making accurate predictions across wide range of unseen scenarios, as well as for understanding the underlying mechanisms.…

Quantitative Methods · Quantitative Biology 2023-10-19 Yue Liu , Kevin Suh , Philip K. Maini , Daniel J. Cohen , Ruth E. Baker

Recently, we proposed an state model (compartment model) to describe the progression of a chronic disease with an pre-clinical (undiagnosed) state before clinical diagnosis. It is an open question, if a sequence of cross-sectional studies…

Populations and Evolution · Quantitative Biology 2015-11-24 Ralph Brinks

The concept of dynamical compensation has been recently introduced to describe the ability of a biological system to keep its output dynamics unchanged in the face of varying parameters. Here we show that, according to its original…

Quantitative Methods · Quantitative Biology 2018-02-07 Alejandro F. Villaverde , Julio R. Banga

The increasing availability of experimental data has intensified interest in calibrating stochastic models, raising fundamental questions about parameter identifiability. Structural identifiability determines whether parameters can be…

Methodology · Statistics 2026-05-14 Arianna Ceccarelli , Alexander P. Browning , Ruth E. Baker