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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

The sequential recommender (SR) system is a crucial component of modern recommender systems, as it aims to capture the evolving preferences of users. Significant efforts have been made to enhance the capabilities of SR systems. These…

Information Retrieval · Computer Science 2024-09-12 Mingjia Yin , Hao Wang , Wei Guo , Yong Liu , Suojuan Zhang , Sirui Zhao , Defu Lian , Enhong Chen

A central aim in computational neuroscience is to relate the activity of large populations of neurons to an underlying dynamical system. Models of these neural dynamics should ideally be both interpretable and fit the observed data well.…

Machine Learning · Computer Science 2025-02-27 Matthijs Pals , A Erdem Sağtekin , Felix Pei , Manuel Gloeckler , Jakob H Macke

Multiscale is a hallmark feature of complex nonlinear systems. While the simulation using the classical numerical methods is restricted by the local \textit{Taylor} series constraints, the multiscale techniques are often limited by finding…

Dynamical Systems · Mathematics 2024-05-07 Asif Hamid , Danish Rafiq , Shahkar Ahmad Nahvi , Mohammad Abid Bazaz

When modeling dynamical systems from real-world data samples, the distribution of data often changes according to the environment in which they are captured, and the dynamics of the system itself vary from one environment to another.…

Machine Learning · Computer Science 2022-02-15 Yuan Yin , Ibrahim Ayed , Emmanuel de Bézenac , Nicolas Baskiotis , Patrick Gallinari

General purpose agents will require large repertoires of skills. Empowerment -- the maximum mutual information between skills and states -- provides a pathway for learning large collections of distinct skills, but mutual information is…

Machine Learning · Computer Science 2023-10-05 Andrew Levy , Sreehari Rammohan , Alessandro Allievi , Scott Niekum , George Konidaris

Mathematical models are essential to analyze and understand the dynamics of complex systems. Recently, data-driven methodologies have got a lot of attention which is leveraged by advancements in sensor technology. However, the quality of…

Systems and Control · Electrical Eng. & Systems 2021-07-28 Karim Cherifi , Pawan Goyal , Peter Benner

Sequence models in reinforcement learning require task knowledge to estimate the task policy. This paper presents a hierarchical algorithm for learning a sequence model from demonstrations. The high-level mechanism guides the low-level…

Machine Learning · Computer Science 2022-09-22 André Correia , Luís A. Alexandre

We propose a probabilistic framework for developing computational models of biological neural systems. In this framework, physiological recordings are viewed as discrete-time partial observations of an underlying continuous-time stochastic…

Neurons and Cognition · Quantitative Biology 2026-02-10 Ahmed ElGazzar , Marcel van Gerven

Local climate information is crucial for impact assessment and decision-making, yet coarse global climate simulations cannot capture small-scale phenomena. Current statistical downscaling methods infer these phenomena as temporally…

Machine Learning · Computer Science 2025-09-24 Jonathan Schmidt , Luca Schmidt , Felix Strnad , Nicole Ludwig , Philipp Hennig

Modern generative machine learning models demonstrate surprising ability to create realistic outputs far beyond their training data, such as photorealistic artwork, accurate protein structures, or conversational text. These successes…

Machine Learning · Computer Science 2024-01-17 William Gilpin

We address the problem of learning linear system models from observing multiple trajectories from different system dynamics. This framework encompasses a collaborative scenario where several systems seeking to estimate their dynamics are…

Optimization and Control · Mathematics 2023-09-12 Leonardo F. Toso , Han Wang , James Anderson

One of the outstanding problems in complexity science and dynamical system theory is understanding the dynamic behavior of high-dimensional networked systems and their susceptibility to transitions to undesired states. Because of varied…

Dynamical Systems · Mathematics 2022-06-24 Chengyi Tu

The current paper presents a novel recurrent neural network model, the predictive multiple spatio-temporal scales RNN (P-MSTRNN), which can generate as well as recognize dynamic visual patterns in the predictive coding framework. The model…

Computer Vision and Pattern Recognition · Computer Science 2017-03-20 Minkyu Choi , Jun Tani

Learning hierarchical structures in sequential data -- from simple algorithmic patterns to natural language -- in a reliable, generalizable way remains a challenging problem for neural language models. Past work has shown that recurrent…

Computation and Language · Computer Science 2022-12-01 Brian DuSell , David Chiang

Growing interest in modelling complex systems from brains to societies to cities using networks has led to increased efforts to describe generative processes that explain those networks. Recent successes in machine learning have prompted…

Neural and Evolutionary Computing · Computer Science 2024-01-12 Govind Gandhi

Effective generalization in robotic manipulation requires representations that capture invariant patterns of interaction across environments and tasks. We present a self-supervised framework for learning hierarchical manipulation concepts…

Robotics · Computer Science 2025-11-07 Ruizhe Liu , Pei Zhou , Qian Luo , Li Sun , Jun Cen , Yibing Song , Yanchao Yang

Irregularly-sampled time series occur in many domains including healthcare. They can be challenging to model because they do not naturally yield a fixed-dimensional representation as required by many standard machine learning models. In…

Machine Learning · Computer Science 2020-08-19 Steven Cheng-Xian Li , Benjamin M. Marlin

One of the basic frameworks in science views behavioral products as a process within a dynamic system. The mechanism might be seen as a representation of many instances of centralized control in real time. Many real systems, however,…

Dynamical Systems · Mathematics 2019-08-19 Chulwook Park

Hierarchical Reinforcement Learning (HRL) is a promising approach for managing task complexity across multiple levels of abstraction and accelerating long-horizon agent exploration. However, the effectiveness of hierarchical policies…

Machine Learning · Computer Science 2025-06-24 Xianghua Zeng , Hao Peng , Dingli Su , Angsheng Li