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State estimation is a fundamental requirement in robotics, where the accurate determination of a robot's state is essential for stable operation despite inherent process disturbances and sensor noise. Traditionally, this is achieved through…

Robotics · Computer Science 2026-04-21 Phunyapa Suksomboon , Paulo Garcia

Recently, some studies started to unveil the wealthy of interactions that occur between groups of nodes when looking at the small scale of interactions taking place in complex networks. Such findings claim for a new systematic methodology…

Physics and Society · Physics 2016-07-26 Cesar H. Comin , João B. Bunoro , Matheus P. Viana , Luciano da F. Costa

Classical causal inference assumes treatments meant for a given unit do not have an effect on other units. This assumption is violated in interference problems, where new types of spillover causal effects arise, and causal inference becomes…

Methodology · Statistics 2024-09-30 Ilya Shpitser , Chan Park , Eric Tchetgen Tchetgen , Ryan Andrews

We study finite-horizon continuous-time policy evaluation from discrete closed-loop trajectories under time-inhomogeneous dynamics. The target value surface solves a backward parabolic equation, but the Bellman baseline obtained from…

Machine Learning · Statistics 2026-05-11 Yaowei Zheng , Richong Zhang , Shenxi Wu , Shirui Bian , Haosong Zhang , Li Zeng , Xingjian Ma , Yichi Zhang

Capturing the interactions between entities in a structured way plays a central role in world models that flexibly adapt to changes in the environment. Recent works motivate the benefits of models that explicitly represent the structure of…

Machine Learning · Computer Science 2025-12-08 Anson Lei , Bernhard Schölkopf , Ingmar Posner

When stochastic control problems do not possess separability and/or monotonicity, the dynamic programming pioneered by Bellman in 1950s fails to work as a time-decomposition solution method. Such cases have posted a great challenge to the…

Optimization and Control · Mathematics 2020-10-20 Xin Huang , Duan Li , Daniel Zhuoyu Long

Physical interactive robotics, ranging from wearable devices to collaborative humanoid robots, require close coordination between mechanical design and control. However, evaluating interactive dynamics is challenging due to complex human…

Robotics · Computer Science 2026-03-11 Chenhui Zuo , Jinhao Xu , Michael Qian Vergnolle , Yanan Sui

While modern deep networks have demonstrated remarkable versatility, their training dynamics remain poorly understood--often driven more by empirical tweaks than architectural insight. This paper investigates how internal structural choices…

Machine Learning · Computer Science 2025-08-26 Saleh Nikooroo , Thomas Engel

Knee contact-stress hotspots are closely linked to meniscal/cartilage injury risk. Still, high-fidelity subject-specific FEA is too computationally expensive for large-cohort, multi-condition, near-real-time use. Existing MeshGraphNet-style…

Tissues and Organs · Quantitative Biology 2026-02-26 Zhengye Pan , Jianwei Zuo , Jiajia Luo

We present a loosely coupled scheme for the numerical simulation of the cardiac electro-fluid-structure interaction problem, whose solution is typically computationally intensive due to the need to suitably treat the coupling of the…

Numerical Analysis · Mathematics 2023-08-09 Michele Bucelli , Martin Geraint Gabriel , Giacomo Gigante , Alfio Quarteroni , Christian Vergara

Despite recent progress in our understanding of complex dynamic networks, it remains challenging to devisesufficiently accurate models to observe, control or predict the state of real systems in biology, economics or other fields. A largely…

Dynamical Systems · Mathematics 2019-12-11 Dominik Kahl , Philipp Wendland , Matthias Neidhardt , Andreas Weber , Maik Kschischo

The dynamics of networks of interacting systems depends intricately on the interaction topology. When the dynamics is explored, generally the whole topology has to be considered. However, we show that there are certain mesoscale subgraphs…

Chaotic Dynamics · Physics 2012-07-06 Anne-Ly Do , Johannes Höfener , Thilo Gross

This paper introduces a model of multi-unit organizations with either static structures, i.e., they are designed top-down following classical approaches to organizational design, or dynamic structures, i.e., the structures emerge over time…

General Economics · Economics 2022-09-12 Stephan Leitner

We present an approach to construct approximate Koopman-type decompositions for dynamical systems depending on static or time-varying parameters. Our method simultaneously constructs an invariant subspace and a parametric family of…

Optimization and Control · Mathematics 2024-11-12 Yue Guo , Milan Korda , Ioannis G. Kevrekidis , Qianxiao Li

Graph neural networks are promising architecture for learning and inference with graph-structured data. Yet difficulties in modelling the ``parts'' and their ``interactions'' still persist in terms of graph classification, where graph-level…

Machine Learning · Computer Science 2020-06-30 Kai Zhang , Yaokang Zhu , Jun Wang , Jie Zhang , Hongyuan Zha

In this paper, a deep structured tracking problem is introduced for a large number of decision-makers. The problem is formulated as a linear quadratic deep structured team, where the decision-makers wish to track a global target…

Systems and Control · Electrical Eng. & Systems 2021-10-22 Jalal Arabneydi , Amir G. Aghdam

We analyse the stability of linear dynamical systems defined on sparse, random graphs with predator-prey, competitive, and mutualistic interactions. These systems are aimed at modelling the stability of fixed points in large systems defined…

Statistical Mechanics · Physics 2025-01-30 Andrea Marcello Mambuca , Chiara Cammarota , Izaak Neri

Human behaviors are the major causes of scene dynamics and inherently contain rich cues regarding the dynamics. This paper formalizes a new task of proactive scene decomposition and reconstruction, an online approach that leverages…

Computer Vision and Pattern Recognition · Computer Science 2025-10-21 Baicheng Li , Zike Yan , Dong Wu , Hongbin Zha

Many scientific problems require identifying a small set of covariates that are associated with a target response and estimating their effects. Often, these effects are nonlinear and include interactions, so linear and additive methods can…

Computation · Statistics 2022-12-02 Raj Agrawal , Tamara Broderick

We consider how to use the Bellman residual of the dynamic programming operator to compute suboptimality bounds for solutions to stochastic shortest path problems. Such bounds have been previously established only in the special case that…

Artificial Intelligence · Computer Science 2012-02-20 Eric A. Hansen