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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…

机器学习 · 计算机科学 2023-10-24 Achkan Salehi , Steffen Rühl , Stephane Doncieux

Modeling dynamical systems is crucial across the science and engineering fields for accurate prediction, control, and decision-making. Recently, machine learning (ML) approaches, particularly neural ordinary differential equations (NODEs),…

系统与控制 · 电气工程与系统科学 2026-04-20 Fatima Al-Janahi , Min-Seung Ko , Hao Zhu

Optimal control provides a principled framework for transforming dynamical system models into intelligent decision-making, yet classical computational approaches are often too expensive for real-time deployment in dynamic or uncertain…

最优化与控制 · 数学 2026-01-01 Wuzhe Xu , Jiequn Han , Rongjie Lai

Forecasting time series and time-dependent data is a common problem in many applications. One typical example is solving ordinary differential equation (ODE) systems $\dot{x}=F(x)$. Oftentimes the right hand side function $F(x)$ is not…

计算物理 · 物理学 2019-10-14 Artem Chashchin , Mikhail Botchev , Ivan Oseledets , George Ovchinnikov

Optimization of deep neural networks (DNNs) has been a driving force in the advancement of modern machine learning and artificial intelligence. With DNNs characterized by a prolonged sequence of nonlinear propagation, determining their…

机器学习 · 计算机科学 2025-10-17 Guan-Horng Liu , Tianrong Chen , Evangelos A. Theodorou

Causal inference in continuous-time sequential decision problems is challenged by hidden confounders. We show that, in latent state-space models with time-varying interventions, observability of the latent dynamics from observed data is…

机器学习 · 计算机科学 2026-05-14 Jennifer Wendland , Nicolas Freitag , Maik Kschischo

In this paper, we implement Neural Ordinary Differential Equations in a Variational Autoencoder setting for generative time series modeling. An object-oriented approach to the code was taken to allow for easier development and research and…

机器学习 · 计算机科学 2022-01-14 M. L. Garsdal , V. Søgaard , S. M. Sørensen

We propose a novel framework for solving continuous-time non-Markovian stochastic control problems by means of neural rough differential equations (Neural RDEs) introduced in Morrill et al. (2021). Non-Markovianity naturally arises in…

Discontinuities and delayed terms are encountered in the governing equations of a large class of problems ranging from physics and engineering to medicine and economics. These systems cannot be properly modelled and simulated with standard…

人工智能 · 计算机科学 2024-09-27 Thibault Monsel , Onofrio Semeraro , Lionel Mathelin , Guillaume Charpiat

We compare the discretize-optimize (Disc-Opt) and optimize-discretize (Opt-Disc) approaches for time-series regression and continuous normalizing flows (CNFs) using neural ODEs. Neural ODEs are ordinary differential equations (ODEs) with…

机器学习 · 计算机科学 2020-08-03 Derek Onken , Lars Ruthotto

Learning continuous-time dynamics on complex networks is crucial for understanding, predicting and controlling complex systems in science and engineering. However, this task is very challenging due to the combinatorial complexities in the…

社会与信息网络 · 计算机科学 2020-06-19 Chengxi Zang , Fei Wang

We propose a novel second-order optimization framework for training the emerging deep continuous-time models, specifically the Neural Ordinary Differential Equations (Neural ODEs). Since their training already involves expensive gradient…

机器学习 · 计算机科学 2021-11-09 Guan-Horng Liu , Tianrong Chen , Evangelos A. Theodorou

Deep neural networks are an attractive alternative for simulating complex dynamical systems, as in comparison to traditional scientific computing methods, they offer reduced computational costs during inference and can be trained directly…

机器学习 · 计算机科学 2024-05-01 Katarzyna Michałowska , Somdatta Goswami , George Em Karniadakis , Signe Riemer-Sørensen

Ordinary Differential Equations (ODE) based models have become popular as foundation models for solving many time series problems. Combining neural ODEs with traditional RNN models has provided the best representation for irregular time…

机器学习 · 计算机科学 2024-08-06 Futoon M. Abushaqra , Hao Xue , Yongli Ren , Flora D. Salim

Control of complex systems involves both system identification and controller design. Deep neural networks have proven to be successful in many identification tasks, however, from model-based control perspective, these networks are…

最优化与控制 · 数学 2019-02-28 Yize Chen , Yuanyuan Shi , Baosen Zhang

To model time series accurately is important within a wide range of fields. As the world is generally too complex to be modelled exactly, it is often meaningful to assess the probability of a dynamical system to be in a specific state. This…

机器学习 · 计算机科学 2023-03-16 Mari Dahl Eggen , Alise Danielle Midtfjord

Estimating counterfactual outcomes over time has the potential to unlock personalized healthcare by assisting decision-makers to answer ''what-iF'' questions. Existing causal inference approaches typically consider regular, discrete-time…

机器学习 · 计算机科学 2022-06-17 Nabeel Seedat , Fergus Imrie , Alexis Bellot , Zhaozhi Qian , Mihaela van der Schaar

Data-driven modeling techniques have been explored in the spatial-temporal modeling of complex dynamical systems for many engineering applications. However, a systematic approach is still lacking to leverage the information from different…

机器学习 · 计算机科学 2024-10-15 Chuanqi Chen , Jin-Long Wu

Deciding the best future execution time is a critical task in many business activities while evolving time series forecasting, and optimal timing strategy provides such a solution, which is driven by observed data. This solution has plenty…

人工智能 · 计算机科学 2023-10-10 Chen Pan , Fan Zhou , Xuanwei Hu , Xinxin Zhu , Wenxin Ning , Zi Zhuang , Siqiao Xue , James Zhang , Yunhua Hu

Time series with non-uniform intervals occur in many applications, and are difficult to model using standard recurrent neural networks (RNNs). We generalize RNNs to have continuous-time hidden dynamics defined by ordinary differential…

机器学习 · 计算机科学 2019-07-10 Yulia Rubanova , Ricky T. Q. Chen , David Duvenaud