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Dynamic mode decomposition (DMD) is a widely used data-driven algorithm for predicting the future states of dynamical systems. However, its standard formulation often struggles with poor long-term predictive accuracy. To address this…

Numerical Analysis · Mathematics 2025-10-23 Qiuqi Li , Chang Liu , Yifei Yang

Planning collision-free motions for robots with many degrees of freedom is challenging in environments with complex obstacle geometries. Recent work introduced the idea of speeding up the planning by encoding prior experience of successful…

Robotics · Computer Science 2024-05-28 Johannes Tenhumberg , Darius Burschka , Berthold Bäuml

Trajectory optimization considers the problem of deciding how to control a dynamical system to move along a trajectory which minimizes some cost function. Differential Dynamic Programming (DDP) is an optimal control method which utilizes a…

Systems and Control · Computer Science 2017-01-10 David D. Fan , Evangelos A. Theodorou

World modelling, i.e. building a representation of the rules that govern the world so as to predict its evolution, is an essential ability for any agent interacting with the physical world. Recent applications of the Transformer…

Machine Learning · Computer Science 2024-05-31 Francesco Petri , Luigi Asprino , Aldo Gangemi

This paper introduces a data-driven time embedding method for modeling long-range seasonal dependencies in spatiotemporal forecasting tasks. The proposed approach employs Dynamic Mode Decomposition (DMD) to extract temporal modes directly…

Machine Learning · Computer Science 2025-08-05 Menglin Kong , Vincent Zhihao Zheng , Xudong Wang , Lijun Sun

Autonomous robot navigation systems often rely on hierarchical planning, where global planners compute collision-free paths without considering dynamics, and local planners enforce dynamics constraints to produce executable commands. This…

Robotics · Computer Science 2025-10-14 Yuanjie Lu , Mingyang Mao , Tong Xu , Linji Wang , Xiaomin Lin , Xuesu Xiao

This paper addresses the challenge of coordinating multi-robot systems under realistic communication delays using distributed optimization. We focus on consensus ADMM as a scalable framework for generating collision-free, dynamically…

Planning - the ability to analyze the structure of a problem in the large and decompose it into interrelated subproblems - is a hallmark of human intelligence. While deep reinforcement learning (RL) has shown great promise for solving…

Artificial Intelligence · Computer Science 2021-07-02 Lunjun Zhang , Ge Yang , Bradly C. Stadie

Highway traffic states data collected from a network of sensors can be considered a high-dimensional nonlinear dynamical system. In this paper, we develop a novel data-driven method -- anti-circulant dynamic mode decomposition with…

Applications · Statistics 2025-04-09 Xudong Wang , Lijun Sun

Identifying predictive world models for robots in novel environments from sparse online observations is essential for robot task planning and execution in novel environments. However, existing methods that leverage differentiable…

Robotics · Computer Science 2025-05-13 Yifan Zhu , Tianyi Xiang , Aaron Dollar , Zherong Pan

We present the Multi-Agent Transformer World Model (MATWM), a novel transformer-based world model designed for multi-agent reinforcement learning in both vector- and image-based environments. MATWM combines a decentralized imagination…

Machine Learning · Computer Science 2025-06-24 Azad Deihim , Eduardo Alonso , Dimitra Apostolopoulou

The field of world modeling is fragmented, with researchers developing bespoke architectures that rarely build upon each other. We propose a framework that specifies the natural building blocks for structured world models based on the…

Machine Learning · Computer Science 2025-11-05 Lancelot Da Costa , Sanjeev Namjoshi , Mohammed Abbas Ansari , Bernhard Schölkopf

Modern computational science and engineering applications are being improved by the advances in scientific machine learning. Data-driven methods such as Dynamic Mode Decomposition (DMD) can extract coherent structures from spatio-temporal…

Graphics · Computer Science 2022-08-17 Gabriel F. Barros , Malú Grave , José J. Camata , Alvaro L. G. A. Coutinho

A World Model is a compressed spatial and temporal representation of a real world environment that allows one to train an agent or execute planning methods. However, world models are typically trained on observations from the real world…

Machine Learning · Computer Science 2024-10-28 Fabio Ferreira , Moreno Schlageter , Raghu Rajan , Andre Biedenkapp , Frank Hutter

Nonprehensile manipulation is crucial for handling objects that are too thin, large, or otherwise ungraspable in unstructured environments. While conventional planning-based approaches struggle with complex contact modeling, learning-based…

Robotics · Computer Science 2025-07-28 Jiangran Lyu , Ziming Li , Xuesong Shi , Chaoyi Xu , Yizhou Wang , He Wang

Accurate traffic prediction is a key task for intelligent transportation systems. The core difficulty lies in accurately modeling the complex spatial-temporal dependencies in traffic data. In recent years, improvements in network…

Machine Learning · Computer Science 2026-03-03 Sen Shi , Zhichao Zhang , Yangfan He

Recently, world models have made significant progress in enhancing end-to-end driving systems through both future situation forecasting and improved scene understanding. However, existing driving world models are typically built upon dense…

Computer Vision and Pattern Recognition · Computer Science 2026-05-26 Ruoyu Wang , Jingke Wang , Yukai Ma , Yuehao Huang , Shuangming Lei , Guanglin Xu , Aixue Ye , Yong Liu

We propose a new object-centric video prediction algorithm based on the deep latent particle (DLP) representation. In comparison to existing slot- or patch-based representations, DLPs model the scene using a set of keypoints with learned…

Computer Vision and Pattern Recognition · Computer Science 2024-02-09 Tal Daniel , Aviv Tamar

We introduce the method of compressed dynamic mode decomposition (cDMD) for background modeling. The dynamic mode decomposition (DMD) is a regression technique that integrates two of the leading data analysis methods in use today: Fourier…

Computer Vision and Pattern Recognition · Computer Science 2016-12-13 N. Benjamin Erichson , Steven L. Brunton , J. Nathan Kutz

Marked Temporal Point Processes (MTPPs) provide a principled framework for modeling asynchronous event sequences by conditioning on the history of past events. However, most existing MTPP models rely on channel-mixing strategies that encode…

Machine Learning · Computer Science 2025-11-11 Wang-Tao Zhou , Zhao Kang , Ke Yan , Ling Tian