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Model-based Reinforcement Learning and Control have demonstrated great potential in various sequential decision making problem domains, including in robotics settings. However, real-world robotics systems often present challenges that limit…

Machine Learning · Computer Science 2023-10-24 Achkan Salehi , Steffen Rühl , Stephane Doncieux

Learning network dynamics from the empirical structure and spatio-temporal observation data is crucial to revealing the interaction mechanisms of complex networks in a wide range of domains. However, most existing methods only aim at…

Machine Learning · Computer Science 2024-11-22 Jiaxu Cui , Bingyi Sun , Jiming Liu , Bo Yang

Neural Ordinary Differential Equations (NODEs) are a new class of models that transform data continuously through infinite-depth architectures. The continuous nature of NODEs has made them particularly suitable for learning the dynamics of…

Machine Learning · Computer Science 2020-10-22 Alexander Norcliffe , Cristian Bodnar , Ben Day , Nikola Simidjievski , Pietro Liò

We introduce a unified probabilistic framework for solving sequential decision making problems ranging from Bayesian optimisation to contextual bandits and reinforcement learning. This is accomplished by a probabilistic model-based approach…

In this paper, we propose to model the video dynamics by learning the trajectory of independently inverted latent codes from GANs. The entire sequence is seen as discrete-time observations of a continuous trajectory of the initial latent…

Computer Vision and Pattern Recognition · Computer Science 2023-04-25 Weihao Xia , Yujiu Yang , Jing-Hao Xue

Ordinary differential equations (ODEs) are the primary means to modelling dynamical systems in many natural and engineering sciences. The number of equations required to describe a system with high heterogeneity limits our capability of…

Mathematical Software · Computer Science 2017-07-17 Andrea Vandin

A complex system with cluttered observations may be a coupled mixture of multiple simple sub-systems corresponding to latent entities. Such sub-systems may hold distinct dynamics in the continuous-time domain; therein, complicated…

Machine Learning · Computer Science 2025-02-17 Zihan Zhou , Tianshu Yu

Modeling the dynamics of real-world physical systems is critical for spatiotemporal prediction tasks, but challenging when data is limited. The scarcity of real-world data and the difficulty in reproducing the data distribution hinder…

Machine Learning · Computer Science 2021-06-09 Sungyong Seo , Chuizheng Meng , Sirisha Rambhatla , Yan Liu

A class of neural networks that gained particular interest in the last years are neural ordinary differential equations (neural ODEs). We study input-output relations of neural ODEs using dynamical systems theory and prove several results…

Dynamical Systems · Mathematics 2023-09-29 Christian Kuehn , Sara-Viola Kuntz

In this paper, we introduce a discrete variant of the meta-learning framework. Meta-learning aims at exploiting prior experience and data to improve performance on future tasks. By now, there exist numerous formulations for meta-learning in…

Machine Learning · Computer Science 2021-01-12 Arman Adibi , Aryan Mokhtari , Hamed Hassani

A fundamental challenge in developing data-driven approaches to ecological systems for tasks such as state estimation and prediction is the paucity of the observational or measurement data. For example, modern machine-learning techniques…

Quantitative Methods · Quantitative Biology 2024-10-11 Zheng-Meng Zhai , Bryan Glaz , Mulugeta Haile , Ying-Cheng Lai

The rapid expansion in the size of new datasets has created a need for fast and efficient parameter-learning techniques. Compressive learning is a framework that enables efficient processing by using random, non-linear features to project…

Machine Learning · Computer Science 2025-08-18 Daniel Mas Montserrat , David Bonet , Maria Perera , Xavier Giró-i-Nieto , Alexander G. Ioannidis

This paper addresses imitation learning for motion prediction problem in autonomous driving, especially in multi-agent setting. Different from previous methods based on GAN, we present the conditional latent ordinary differential equation…

Robotics · Computer Science 2024-05-30 Khang Truong Giang , Yongjae Kim , Andrea Finazzi

A significant challenge in machine learning, particularly in noisy and low-data environments, lies in effectively incorporating inductive biases to enhance data efficiency and robustness. Despite the success of informed machine learning…

Machine Learning · Computer Science 2025-02-06 Katarzyna Kobalczyk , Mihaela van der Schaar

Meta-learning, the notion of learning to learn, enables learning systems to quickly and flexibly solve new tasks. This usually involves defining a set of outer-loop meta-parameters that are then used to update a set of inner-loop…

Machine Learning · Computer Science 2023-03-17 Chris Lu , Sebastian Towers , Jakob Foerster

Learning how complex dynamical systems evolve over time is a key challenge in system identification. For safety critical systems, it is often crucial that the learned model is guaranteed to converge to some equilibrium point. To this end,…

Machine Learning · Computer Science 2021-12-13 Andreas Schlaginhaufen , Philippe Wenk , Andreas Krause , Florian Dörfler

We describe a mechanism by which artificial neural networks can learn rapid adaptation - the ability to adapt on the fly, with little data, to new tasks - that we call conditionally shifted neurons. We apply this mechanism in the framework…

Machine Learning · Computer Science 2018-07-05 Tsendsuren Munkhdalai , Xingdi Yuan , Soroush Mehri , Adam Trischler

Most machine learning methods are used as a black box for modelling. We may try to extract some knowledge from physics-based training methods, such as neural ODE (ordinary differential equation). Neural ODE has advantages like a possibly…

Machine Learning · Computer Science 2022-06-08 Yakov Golovanev , Alexander Hvatov

This work proposes an extension of neural ordinary differential equations (NODEs) by introducing an additional set of ODE input parameters to NODEs. This extension allows NODEs to learn multiple dynamics specified by the input parameter…

Computational Physics · Physics 2021-11-17 Kookjin Lee , Eric J. Parish

We study time uncertainty-aware modeling of continuous-time dynamics of interacting objects. We introduce a new model that decomposes independent dynamics of single objects accurately from their interactions. By employing latent Gaussian…

Machine Learning · Computer Science 2022-10-13 Çağatay Yıldız , Melih Kandemir , Barbara Rakitsch