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Inference for mechanistic models is challenging because of nonlinear interactions between model parameters and a lack of identifiability. Here we focus on a specific class of mechanistic models, which we term stable differential equations.…

Computation · Statistics 2017-12-13 Philip Maybank , Ingo Bojak , Richard G. Everitt

Real-world data is often incomplete and contains missing values. To train accurate models over real-world datasets, users need to spend a substantial amount of time and resources imputing and finding proper values for missing data items. In…

Machine Learning · Statistics 2024-03-05 Cheng Zhen , Nischal Aryal , Arash Termehchy , Alireza Aghasi , Amandeep Singh Chabada

Zero-shot learning methods typically assume that the new, unseen classes encountered during deployment come from the same distribution as the the classes in the training set. However, real-world scenarios often involve class distribution…

Machine Learning · Computer Science 2024-12-11 Yuli Slavutsky , Yuval Benjamini

We introduce a differentiable framework for zero-shot adaptive control over parametric families of nonlinear dynamical systems. Our approach integrates a function encoder-based neural ODE (FE-NODE) for modeling system dynamics with a…

Systems and Control · Electrical Eng. & Systems 2026-04-16 Hassan Iqbal , Xingjian Li , Tyler Ingebrand , Adam Thorpe , Krishna Kumar , Ufuk Topcu , Ján Drgoňa

Embedding nonlinear dynamical systems into artificial neural networks is a powerful new formalism for machine learning. By parameterizing ordinary differential equations (ODEs) as neural network layers, these Neural ODEs are…

Machine Learning · Computer Science 2024-10-28 Mikko Lehtimäki , Lassi Paunonen , Marja-Leena Linne

The hazard function represents one of the main quantities of interest in the analysis of survival data. We propose a general approach for parametrically modelling the dynamics of the hazard function using systems of autonomous ordinary…

Methodology · Statistics 2024-07-19 J. A. Christen , F. J. Rubio

Recently, Neural Ordinary Differential Equations has emerged as a powerful framework for modeling physical simulations without explicitly defining the ODEs governing the system, but instead learning them via machine learning. However, the…

Inferring the parameters of ordinary differential equations (ODEs) from noisy observations is an important problem in many scientific fields. Currently, most parameter estimation methods that bypass numerical integration tend to rely on…

Methodology · Statistics 2023-10-25 Mingwei Xu , Samuel W. K. Wong , Peijun Sang

Mechanistic models with differential equations are a key component of scientific applications of machine learning. Inference in such models is usually computationally demanding, because it involves repeatedly solving the differential…

Machine Learning · Statistics 2022-07-06 Jonathan Schmidt , Nicholas Krämer , Philipp Hennig

In this paper, a new model-free anomaly detection framework is proposed for time-series induced by industrial dynamical systems.The framework lies in the category of conventional approaches which enable appealing features such as a learning…

Systems and Control · Electrical Eng. & Systems 2024-12-13 Mazen Alamir , Raphaël Dion

The joint prediction of continuous fields and statistical estimation of the underlying discrete parameters is a common problem for many physical systems, governed by PDEs. Hitherto, it has been separately addressed by employing operator…

Machine Learning · Computer Science 2024-11-06 Levi E. Lingsch , Dana Grund , Siddhartha Mishra , Georgios Kissas

We propose a machine learning framework to accelerate numerical computations of time-dependent ODEs and PDEs. Our method is based on recasting (generalizations of) existing numerical methods as artificial neural networks, with a set of…

Numerical Analysis · Mathematics 2019-03-08 Siddhartha Mishra

Missing data is a common problem in real-world settings and particularly relevant in healthcare applications where researchers use Electronic Health Records (EHR) and results of observational studies to apply analytics methods. This issue…

Machine Learning · Statistics 2018-12-04 Dimitris Bertsimas , Agni Orfanoudaki , Colin Pawlowski

The development of data-informed predictive models for dynamical systems is of widespread interest in many disciplines. We present a unifying framework for blending mechanistic and machine-learning approaches to identify dynamical systems…

Dynamical Systems · Mathematics 2022-08-18 Matthew E. Levine , Andrew M. Stuart

Hazard functions play a central role in survival analysis, providing insight into the underlying risk dynamics of time-to-event data, with broad applications in medicine, epidemiology, and related fields. First-order ordinary differential…

Applications · Statistics 2026-04-02 Dananjani Liyanage , Mahmudul Bari Hridoy , Fahad Mostafa

Leveraging class semantic descriptions and examples of known objects, zero-shot learning makes it possible to train a recognition model for an object class whose examples are not available. In this paper, we propose a novel zero-shot…

Computer Vision and Pattern Recognition · Computer Science 2017-08-22 Soravit Changpinyo , Wei-Lun Chao , Fei Sha

Real-time object pose estimation is necessary for many robot manipulation algorithms. However, state-of-the-art methods for object pose estimation are trained for a specific set of objects; these methods thus need to be retrained to…

Computer Vision and Pattern Recognition · Computer Science 2022-04-28 Qiao Gu , Brian Okorn , David Held

A variety of complex biological, natural and man-made systems exhibit non-Markovian dynamics that can be modeled through fractional order differential equations, yet, we lack sample comlexity aware system identification strategies. Towards…

Systems and Control · Electrical Eng. & Systems 2025-06-23 Xiaole Zhang , Vijay Gupta , Paul Bogdan

Modeling dynamical systems is important in many disciplines, e.g., control, robotics, or neurotechnology. Commonly the state of these systems is not directly observed, but only available through noisy and potentially high-dimensional…

Machine Learning · Statistics 2014-10-29 Niklas Wahlström , Thomas B. Schön , Marc Peter Deisenroth

Missing data is a fundamental challenge in data science, significantly hindering analysis and decision-making across a wide range of disciplines, including healthcare, bioinformatics, social science, e-commerce, and industrial monitoring.…

Machine Learning · Statistics 2026-05-12 Jicong Fan
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