English
Related papers

Related papers: Reconstructing dynamics from sparse observations w…

200 papers

Discovering the underlying dynamics of complex systems from data is an important practical topic. Constrained optimization algorithms are widely utilized and lead to many successes. Yet, such purely data-driven methods may bring about…

Dynamical Systems · Mathematics 2023-05-17 Nan Chen , Yinling Zhang

Reconstructing training data from trained neural networks is an active area of research with significant implications for privacy and explainability. Recent advances have demonstrated the feasibility of this process for several data types.…

Machine Learning · Computer Science 2024-11-26 Ran Elbaz , Gilad Yehudai , Meirav Galun , Haggai Maron

Learning systems are typically optimized by minimizing loss or maximizing reward, assuming that improvements in these signals reflect progress toward the true objective. However, when feedback reliability is unobservable, this assumption…

Machine Learning · Computer Science 2026-03-24 Zhipeng Zhang , Zhenjie Yao , Kai Li , Lei Yang

The paper considers the problem of performing a task defined on a model parameter that is only observed indirectly through noisy data in an ill-posed inverse problem. A key aspect is to formalize the steps of reconstruction and task as…

Computer Vision and Pattern Recognition · Computer Science 2022-10-11 Jonas Adler , Sebastian Lunz , Olivier Verdier , Carola-Bibiane Schönlieb , Ozan Öktem

Neural network modules conditioned by known priors can be effectively trained and combined to represent systems with nonlinear dynamics. This work explores a novel formulation for data-efficient learning of deep control-oriented nonlinear…

Dynamical Systems · Mathematics 2021-01-07 Elliott Skomski , Soumya Vasisht , Colby Wight , Aaron Tuor , Jan Drgona , Draguna Vrabie

Learning turbulence models from observation data is of significant interest in discovering a unified model for a broad range of practical flow applications. Either the direct observation of Reynolds stress or the indirect observation of…

Fluid Dynamics · Physics 2023-07-19 Xin-Lei Zhang , Heng Xiao , Xiaodong Luo , Guowei He

Unsupervised meta-learning aims to learn feature representations from unsupervised datasets that can transfer to downstream tasks with limited labeled data. In this paper, we propose a novel approach to unsupervised meta-learning that…

Machine Learning · Computer Science 2025-02-11 Anna Vettoruzzo , Lorenzo Braccaioli , Joaquin Vanschoren , Marlena Nowaczyk

Can meta-learning discover generic ways of processing time series (TS) from a diverse dataset so as to greatly improve generalization on new TS coming from different datasets? This work provides positive evidence to this using a broad…

Machine Learning · Computer Science 2020-12-16 Boris N. Oreshkin , Dmitri Carpov , Nicolas Chapados , Yoshua Bengio

We consider the commonly encountered situation (e.g., in weather forecasting) where the goal is to predict the time evolution of a large, spatiotemporally chaotic dynamical system when we have access to both time series data of previous…

Data assimilation (DA) has increasingly emerged as a critical tool for state estimation across a wide range of applications. It is significantly challenging when the governing equations of the underlying dynamics are unknown. To this end,…

Machine Learning · Computer Science 2026-01-13 Ziyi Wang , Lijian Jiang

The prediction of stochastic dynamical systems and the capture of dynamical behaviors are profound problems. In this article, we propose a data-driven framework combining Reservoir Computing and Normalizing Flow to study this issue, which…

Dynamical Systems · Mathematics 2023-08-01 Cheng Fang , Yubin Lu , Ting Gao , Jinqiao Duan

Transformers have achieved remarkable success across a wide range of applications, a feat often attributed to their scalability. Yet training them without skip (residual) connections remains notoriously difficult. While skips stabilize…

Machine Learning · Computer Science 2025-10-02 Yiping Ji , James Martens , Jianqiao Zheng , Ziqin Zhou , Peyman Moghadam , Xinyu Zhang , Hemanth Saratchandran , Simon Lucey

Machine learning (ML) is redefining what is possible in data-intensive fields of science and engineering. However, applying ML to problems in the physical sciences comes with a unique set of challenges: scientists want physically…

Computational Physics · Physics 2020-07-06 Kathleen Champion , Peng Zheng , Aleksandr Y. Aravkin , Steven L. Brunton , J. Nathan Kutz

While conventional reinforcement learning focuses on designing agents that can perform one task, meta-learning aims, instead, to solve the problem of designing agents that can generalize to different tasks (e.g., environments, obstacles,…

Machine Learning · Computer Science 2021-09-06 Xiaowu Sun , Wael Fatnassi , Ulices Santa Cruz , Yasser Shoukry

Active learning enables efficient model training by leveraging interactions between machine learning agents and human annotators. We study and propose a novel framework that formulates batch active learning from the sparse approximation's…

Machine Learning · Computer Science 2022-11-08 Maohao Shen , Bowen Jiang , Jacky Yibo Zhang , Oluwasanmi Koyejo

We infer both microscopic and macroscopic behaviors of a three-dimensional chaotic fluid flow using reservoir computing. In our procedure of the inference, we assume no prior knowledge of a physical process of a fluid flow except that its…

Computational Physics · Physics 2018-09-12 Kengo Nakai , Yoshitaka Saiki

Model-based reinforcement learning could enable sample-efficient learning by quickly acquiring rich knowledge about the world and using it to improve behaviour without additional data. Learned dynamics models can be directly used for…

Machine Learning · Computer Science 2019-10-15 Rinu Boney , Juho Kannala , Alexander Ilin

We introduce a simple post-training method that makes transformer attention sparse without sacrificing performance. Applying a flexible sparsity regularisation under a constrained-loss objective, we show on models up to 7B parameters that…

Machine Learning · Computer Science 2026-05-26 Florent Draye , Anson Lei , Hsiao-Ru Pan , Ingmar Posner , Bernhard Schölkopf

In data-driven modelling of complex dynamic processes, it is often desirable to combine different classes of models to enhance performance. Examples include coupled models of different fidelities, or hybrid models based on physical…

Dynamical Systems · Mathematics 2024-12-10 Shiqi Wu , Ludovic Chamoin , Qianxiao Li

In this paper, we study the method to reconstruct dynamical systems from data without time labels. Data without time labels appear in many applications, such as molecular dynamics, single-cell RNA sequencing etc. Reconstruction of dynamical…

Machine Learning · Computer Science 2025-02-26 Zhijun Zeng , Pipi Hu , Chenglong Bao , Yi Zhu , Zuoqiang Shi