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Physics-informed neural networks (PINNs) represent a new paradigm for solving partial differential equations (PDEs) by integrating physical laws into the learning process of neural networks. However, ensuring that such frameworks fully…

Machine Learning · Computer Science 2025-12-12 Nanxi Chen , Sifan Wang , Rujin Ma , Airong Chen , Chuanjie Cui

Developing foundational world models is a key research direction for embodied intelligence, with the ability to adapt to non-stationary environments being a crucial criterion. In this work, we introduce a new formalism, Hidden…

Machine Learning · Computer Science 2024-11-05 Emiliyan Gospodinov , Vaisakh Shaj , Philipp Becker , Stefan Geyer , Gerhard Neumann

Miniature robotic blimps, as one type of lighter-than-air aerial vehicles, have attracted increasing attention in the science and engineering community for their enhanced safety, extended endurance, and quieter operation compared to…

Robotics · Computer Science 2024-12-30 Yongjian Zhu , Hao Cheng , Feitian Zhang

Musculoskeletal humanoids are robots that closely mimic the human musculoskeletal system, offering various advantages such as variable stiffness control, redundancy, and flexibility. However, their body structure is complex, and muscle…

Robotics · Computer Science 2025-07-08 Kento Kawaharazuka , Takahiro Hattori , Keita Yoneda , Kei Okada

Machine learning techniques have recently been of great interest for solving differential equations. Training these models is classically a data-fitting task, but knowledge of the expression of the differential equation can be used to…

Dynamical Systems · Mathematics 2024-07-26 James H. Adler , Samuel Hocking , Xiaozhe Hu , Shafiqul Islam

The natural impedance, or dynamic relationship between force and motion, of a human operator can determine the stability of exoskeletons that use interaction-torque feedback to amplify human strength. While human impedance is typically…

Robotics · Computer Science 2020-09-29 Binghan He , Huang Huang , Gray C. Thomas , Luis Sentis

Reprogrammable mechanical metamaterials, composed of a lattice of discretely adaptive elements, are emerging as a promising platform for mechanical intelligence. To operate in unknown environments, such structures must go beyond passive…

The exploration of intelligent machines has recently spurred the development of physical neural networks, a class of intelligent metamaterials capable of learning, whether in silico or in situ, from observed data. In this study, we…

Applied Physics · Physics 2024-10-07 Jiaji Chen , Xuanbo Miao , Hongbin Ma , Jonathan B. Hopkins , Guoliang Huang

Control strategies for active prostheses or orthoses use sensor inputs to recognize the user's locomotive intention and generate corresponding control commands for producing the desired locomotion. In this paper, we propose a learning-based…

Robotics · Computer Science 2021-11-16 Sharmita Dey , Sabri Boughorbel , Arndt F. Schilling

Soft pneumatic actuators have seen applications in many soft robotic systems, and their pressure-driven nature presents unique challenges and opportunities for controlling their motion. In this work, we present a new concept: designing and…

Robotics · Computer Science 2023-02-13 Sicheng Wang , Eugenio Frias Miranda , Laura H. Blumenschein

Learning shared structure across environments facilitates rapid learning and adaptive behavior in neural systems. This has been widely demonstrated and applied in machine learning to train models that are capable of generalizing to novel…

Machine Learning · Statistics 2025-04-09 Ayesha Vermani , Josue Nassar , Hyungju Jeon , Matthew Dowling , Il Memming Park

Machine learning has become increasingly popular for efficiently modelling the dynamics of complex physical systems, demonstrating a capability to learn effective models for dynamics which ignore redundant degrees of freedom. Learned…

Machine Learning · Computer Science 2022-11-29 Ameya Daigavane , Arthur Kosmala , Miles Cranmer , Tess Smidt , Shirley Ho

This paper discusses the stability of an equilibrium point of an ordinary differential equation (ODE) arising from a feed-forward position control for a musculoskeletal system. The studied system has a link, a joint and two muscles with…

Dynamical Systems · Mathematics 2019-04-30 Takahiro Kosugi , Hitoshi Kino , Masaaki Goto , Yuki Matsutani

In this paper, we propose the physics informed adversarial training (PIAT) of neural networks for solving nonlinear differential equations (NDE). It is well-known that the standard training of neural networks results in non-smooth…

Machine Learning · Computer Science 2022-07-15 Simin Shekarpaz , Mohammad Azizmalayeri , Mohammad Hossein Rohban

We propose a neural control method to provide guaranteed stabilization for mechanical systems using a novel negative imaginary neural ordinary differential equation (NINODE) controller. Specifically, we employ neural networks with desired…

Systems and Control · Electrical Eng. & Systems 2025-04-29 Kanghong Shi , Ruigang Wang , Ian R. Manchester

We present a methodology combining neural networks with physical principle constraints in the form of partial differential equations (PDEs). The approach allows to train neural networks while respecting the PDEs as a strong constraint in…

Numerical Analysis · Mathematics 2021-09-06 Sebastian K. Mitusch , Simon W. Funke , Miroslav Kuchta

Real-world robotic applications, from autonomous exploration to assistive technologies, require adaptive, interpretable, and data-efficient learning paradigms. While deep learning architectures and foundation models have driven significant…

Robotics · Computer Science 2025-06-11 Octavio Arriaga , Rebecca Adam , Melvin Laux , Lisa Gutzeit , Marco Ragni , Jan Peters , Frank Kirchner

Physics-informed neural networks have emerged as a powerful tool in the scientific machine learning community, with applications to both forward and inverse problems. While they have shown considerable empirical success, significant…

Optimization and Control · Mathematics 2025-12-11 Federica Caforio , Martin Holler , Matthias Höfler

In the present work, a machine learning based constitutive model for electro-mechanically coupled material behavior at finite deformations is proposed. Using different sets of invariants as inputs, an internal energy density is formulated…

Computational Engineering, Finance, and Science · Computer Science 2022-08-30 Dominik K. Klein , Rogelio Ortigosa , Jesús Martínez-Frutos , Oliver Weeger

Soft robotics, with their inherent flexibility and infinite degrees of freedom (DoF), offer promising advancements in human-machine interfaces. Particularly, pneumatic artificial muscles (PAMs) and pneumatic bending actuators have been…

Robotics · Computer Science 2023-09-19 Junyi Shen , Tetsuro Miyazaki , Shingo Ohno , Maina Sogabe , Kenji Kawashima