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Related papers: Variational online learning of neural dynamics

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Neural ODE Processes approach the problem of meta-learning for dynamics using a latent variable model, which permits a flexible aggregation of contextual information. This flexibility is inherited from the Neural Process framework and…

Machine Learning · Computer Science 2021-04-30 Ben Day , Alexander Norcliffe , Jacob Moss , Pietro Liò

Digital twins (DTs), serving as the core enablers for real-time monitoring and predictive maintenance of complex cyber-physical systems, impose critical requirements on their virtual models: high predictive accuracy, strong…

Robotics · Computer Science 2026-01-16 He Ren , Gaowei Yan , Hang Liu , Lifeng Cao , Zhijun Zhao , Gang Dang

Gaussian processes have become a popular tool for nonparametric regression because of their flexibility and uncertainty quantification. However, they often use stationary kernels, which limit the expressiveness of the model and may be…

Machine Learning · Computer Science 2025-07-17 Zachary James , Joseph Guinness

Observations from dynamical systems often exhibit irregularities, such as censoring, where values are recorded only if they fall within a certain range. Censoring is ubiquitous in practice, due to saturating sensors, limit-of-detection…

Machine Learning · Computer Science 2023-10-10 Orestis Plevrakis

Recent advances in neural variational inference have spawned a renaissance in deep latent variable models. In this paper we introduce a generic variational inference framework for generative and conditional models of text. While traditional…

Computation and Language · Computer Science 2016-06-07 Yishu Miao , Lei Yu , Phil Blunsom

We consider the problem of online learning in the presence of distribution shifts that occur at an unknown rate and of unknown intensity. We derive a new Bayesian online inference approach to simultaneously infer these distribution shifts…

Machine Learning · Statistics 2021-10-28 Aodong Li , Alex Boyd , Padhraic Smyth , Stephan Mandt

Mathematical models of cognition are often memoryless and ignore potential fluctuations of their parameters. However, human cognition is inherently dynamic. Thus, we propose to augment mechanistic cognitive models with a temporal dimension…

We introduce a generative learning framework to model high-dimensional parametric systems using gradient guidance and virtual observations. We consider systems described by Partial Differential Equations (PDEs) discretized with structured…

Machine Learning · Computer Science 2024-08-02 Han Gao , Sebastian Kaltenbach , Petros Koumoutsakos

Data assimilation algorithms estimate the state of a dynamical system from partial observations, where the successful performance of these algorithms hinges on costly parameter tuning and on employing an accurate model for the dynamics.…

Machine Learning · Statistics 2026-03-24 Melissa Adrian , Daniel Sanz-Alonso , Rebecca Willett

We present a selective review of statistical modeling of dynamic networks. We focus on models with latent variables, specifically, the latent space models and the latent class models (or stochastic blockmodels), which investigate both the…

Methodology · Statistics 2018-05-31 Bomin Kim , Kevin Lee , Lingzhou Xue , Xiaoyue Niu

We focus on the online-based active learning (OAL) setting where an agent operates over a stream of observations and trades-off between the costly acquisition of information (labelled observations) and the cost of prediction errors. We…

Machine Learning · Computer Science 2024-05-16 Maxime Heuillet , Ola Ahmad , Audrey Durand

The process of transforming observed data into predictive mathematical models of the physical world has always been paramount in science and engineering. Although data is currently being collected at an ever-increasing pace, devising…

Dynamical Systems · Mathematics 2018-01-08 Maziar Raissi , Paris Perdikaris , George Em Karniadakis

This paper takes a step towards temporal reasoning in a dynamically changing video, not in the pixel space that constitutes its frames, but in a latent space that describes the non-linear dynamics of the objects in its world. We introduce…

Machine Learning · Statistics 2017-10-31 Marco Fraccaro , Simon Kamronn , Ulrich Paquet , Ole Winther

Macroscopic dynamical descriptions of complex physical systems are crucial for understanding and controlling material behavior. With the growing availability of data and compute, machine learning has become a promising alternative to…

Computational Physics · Physics 2026-03-24 Mengyi Chen , Pengru Huang , Kostya S. Novoselov , Qianxiao Li

Although individual neurons and neural populations exhibit the phenomenon of representational drift, perceptual and behavioral outputs of many neural circuits can remain stable across time scales over which representational drift is…

State-space graphical models and the variational autoencoder framework provide a principled apparatus for learning dynamical systems from data. State-of-the-art probabilistic approaches are often able to scale to large problems at the cost…

Machine Learning · Statistics 2024-11-05 Matthew Dowling , Yuan Zhao , Il Memming Park

We propose a hybrid meta-learning framework for forecasting and anomaly detection in nonlinear dynamical systems characterized by nonstationary and stochastic behavior. The approach integrates a physics-inspired simulator that captures…

Machine Learning · Computer Science 2025-06-18 Abdullah Burkan Bereketoglu

Learning or identifying dynamics from a sequence of high-dimensional observations is a difficult challenge in many domains, including reinforcement learning and control. The problem has recently been studied from a generative perspective…

Robotics · Computer Science 2022-07-12 Oliver Limoyo , Bryan Chan , Filip Marić , Brandon Wagstaff , Rupam Mahmood , Jonathan Kelly

Nonequilibrium statistical mechanics exhibit a variety of complex phenomena far from equilibrium. It inherits challenges of equilibrium, including accurately describing the joint distribution of a large number of configurations, and also…

Statistical Mechanics · Physics 2024-02-08 Ying Tang , Jing Liu , Jiang Zhang , Pan Zhang

Extracting the underlying low-dimensional space where high-dimensional signals often reside has long been at the center of numerous algorithms in the signal processing and machine learning literature during the past few decades. At the same…