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We propose a convex-optimization-based framework for computation of invariant measures of polynomial dynamical systems and Markov processes, in discrete and continuous time. The set of all invariant measures is characterized as the feasible…

Optimization and Control · Mathematics 2020-09-18 Milan Korda , Didier Henrion , Igor Mezic

Digital twins require computationally-efficient reduced-order models (ROMs) that can accurately describe complex dynamics of physical assets. However, constructing ROMs from noisy high-dimensional data is challenging. In this work, we…

Machine Learning · Computer Science 2024-11-12 Nicolò Botteghi , Paolo Motta , Andrea Manzoni , Paolo Zunino , Mengwu Guo

Soft-growing robots (i.e., vine robots) are a promising class of soft robots that allow for navigation and growth in tightly confined environments. However, these robots remain challenging to model and control due to the complex interplay…

Continuum robots, known for their high flexibility and adaptability, offer immense potential for applications such as medical surgery, confined-space inspections, and wearable devices. However, their non-linear elastic nature and complex…

Robotics · Computer Science 2024-10-25 Po-Yu Hsieh , June-Hao Hou

Objective: Estimation of the global optima of multiple model parameters is valuable in imaging to form a reliable diagnostic image. Given non convexity of the objective function, it is challenging to avoid from different local minima.…

Machine Learning · Computer Science 2022-04-06 Hongmei Zhang , Kai Wang , Yan Zhou , Shadab Momin , Xiaofeng Yang , Mostafa Fatemi , Michael F. Insana

The geometric problem of estimating an unknown compact convex set from evaluations of its support function arises in a range of scientific and engineering applications. Traditional approaches typically rely on estimators that minimize the…

Statistics Theory · Mathematics 2021-02-26 Yong Sheng Soh , Venkat Chandrasekaran

Modeling dynamic scenes is important for many applications such as virtual reality and telepresence. Despite achieving unprecedented fidelity for novel view synthesis in dynamic scenes, existing methods based on Neural Radiance Fields…

Computer Vision and Pattern Recognition · Computer Science 2022-06-07 Jia-Wei Liu , Yan-Pei Cao , Weijia Mao , Wenqiao Zhang , David Junhao Zhang , Jussi Keppo , Ying Shan , Xiaohu Qie , Mike Zheng Shou

Dynamical System (DS)-based closed-loop control is a simple and effective way to generate reactive motion policies that well generalize to the robotic workspace, while retaining stability guarantees. Lately the formalism has been expanded…

Robotics · Computer Science 2024-06-04 Bernardo Fichera , Aude Billard

The Piecewise Constant Curvature (PCC) model is the most widely used soft robotic modeling and control. However, the PCC fails to accurately describe the deformation of the soft robots when executing dynamic tasks or interacting with the…

Robotics · Computer Science 2022-03-22 Zhanchi Wang , Gaotian Wang , Xiaoping Chen , Nikolaos M. Freris

Differential Dynamic Programming is an optimal control technique often used for trajectory generation. Many variations of this algorithm have been developed in the literature, including algorithms for stochastic dynamics or state and input…

Optimization and Control · Mathematics 2022-05-26 Dennis Gramlich , Carsten W. Scherer , Christian Ebenbauer

Driven by increased complexity of dynamical systems, the solution of system of differential equations through numerical simulation in optimization problems has become computationally expensive. This paper provides a smart data driven…

Optimization and Control · Mathematics 2021-08-25 Kainat Khowaja , Mykhaylo Shcherbatyy , Wolfgang Karl Härdle

This paper proposes a novel, more computationally efficient method for optimizing robot excitation trajectories for dynamic parameter identification, emphasizing self-collision avoidance. This addresses the system identification challenges…

Autonomous surgical robots are a promising solution to the increasing demand for surgery amid a shortage of surgeons. Recent work has proposed learning-based approaches for the autonomous manipulation of soft tissue. However, due to…

Robotics · Computer Science 2025-08-27 Jordan Thompson , Ronald Koe , Anthony Le , Gabriella Goodman , Daniel S. Brown , Alan Kuntz

Uncovering the underlying ordinary differential equations (ODEs) that govern dynamic systems is crucial for advancing our understanding of complex phenomena. Traditional symbolic regression methods often struggle to capture the temporal…

Machine Learning · Computer Science 2025-06-24 Yang Chang , Kuang-Da Wang , Ping-Chun Hsieh , Cheng-Kuan Lin , Wen-Chih Peng

Prior work in multi-objective reinforcement learning typically uses linear reward scalarization with fixed weights, which provably fails to capture non-convex Pareto fronts and thus yields suboptimal results. This limitation becomes…

Machine Learning · Computer Science 2026-04-01 Yining Lu , Zilong Wang , Shiyang Li , Xin Liu , Changlong Yu , Qingyu Yin , Zhan Shi , Zixuan Zhang , Meng Jiang

Predicting the shape of tendon driven continuum robots (TDCRs) at steady state from actuation remains challenging due to continuous deformation, complex tendon routing, compliance, friction, and fabrication variability. In this paper, we…

Robotics · Computer Science 2026-05-12 Jiong Lin , Jinchen Ruan , Hod Lipson

We introduce OpenVO, a novel framework for Open-world Visual Odometry (VO) with temporal awareness under limited input conditions. OpenVO effectively estimates real-world-scale ego-motion from monocular dashcam footage with varying…

Computer Vision and Pattern Recognition · Computer Science 2026-04-28 Phuc D. A. Nguyen , Anh N. Nhu , Ming C. Lin

Tactile feedback is critical for understanding the dynamics of both rigid and deformable objects in many manipulation tasks, such as non-prehensile manipulation and dense packing. We introduce an approach that combines visual and tactile…

Robotics · Computer Science 2024-07-02 Bo Ai , Stephen Tian , Haochen Shi , Yixuan Wang , Cheston Tan , Yunzhu Li , Jiajun Wu

This paper addresses the problem of controlling a continuum manipulator (CM) in free or obstructed environments with no prior knowledge about the deformation behavior of the CM and the stiffness and geometry of the interacting obstructed…

Robotics · Computer Science 2020-05-06 Farshid Alambeigi , Zerui Wang , Yun-Hui Liu , Russell H. Taylor , Mehran Armand

The Dynamic Mode Decomposition (DMD) is a tool of trade in computational data driven analysis of fluid flows. More generally, it is a computational device for Koopman spectral analysis of nonlinear dynamical systems, with a plethora of…

Numerical Analysis · Mathematics 2017-08-10 Zlatko Drmač , Igor Mezić , Ryan Mohr