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We present a Reinforcement Learning-based Robust Nonlinear Model Predictive Control (RL-RNMPC) framework for controlling nonlinear systems in the presence of disturbances and uncertainties. An approximate Robust Nonlinear Model Predictive…

Systems and Control · Electrical Eng. & Systems 2021-04-08 Hossein Nejatbakhsh Esfahani , Arash Bahari Kordabad , Sebastien Gros

Consider an unknown nonlinear dynamical system that is known to be dissipative. The objective of this paper is to learn a neural dynamical model that approximates this system, while preserving the dissipativity property in the model. In…

Machine Learning · Computer Science 2024-04-09 Yuezhu Xu , S. Sivaranjani

Neural network modules conditioned by known priors can be effectively trained and combined to represent systems with nonlinear dynamics. This work explores a novel formulation for data-efficient learning of deep control-oriented nonlinear…

Dynamical Systems · Mathematics 2021-01-07 Elliott Skomski , Soumya Vasisht , Colby Wight , Aaron Tuor , Jan Drgona , Draguna Vrabie

We introduce a scheme for molecular simulations, the Deep Potential Molecular Dynamics (DeePMD) method, based on a many-body potential and interatomic forces generated by a carefully crafted deep neural network trained with ab initio data.…

Computational Physics · Physics 2018-04-11 Linfeng Zhang , Jiequn Han , Han Wang , Roberto Car , Weinan E

Maxwell-Amp\`{e}re-Nernst-Planck (MANP) equations were recently proposed to model the dynamics of charged particles. In this study, we enhance a numerical algorithm of this system with deep learning tools. The proposed hybrid algorithm…

Numerical Analysis · Mathematics 2023-12-12 Cheng Chang , Zhouping Xin , Tieyong Zeng

An important challenge in robotics is understanding the interactions between robots and deformable terrains that consist of granular material. Granular flows and their interactions with rigid bodies still pose several open questions. A…

Machine Learning · Computer Science 2021-11-22 Amin Haeri , Krzysztof Skonieczny

Since loose-fitting clothing contains dynamic modes that have proven to be difficult to predict via neural networks, we first illustrate how to coarsely approximate these modes with a real-time numerical algorithm specifically designed to…

Graphics · Computer Science 2024-04-29 Yongxu Jin , Dalton Omens , Zhenglin Geng , Joseph Teran , Abishek Kumar , Kenji Tashiro , Ronald Fedkiw

In recent years, Machine learning (ML) techniques developed for Natural Language Processing (NLP) have permeated into developing better computer vision algorithms. In this work, we use such NLP-inspired techniques to improve the accuracy,…

Machine Learning · Computer Science 2022-11-08 Lalit Ghule , Rishikesh Ranade , Jay Pathak

We introduce multiple physics pretraining (MPP), an autoregressive task-agnostic pretraining approach for physical surrogate modeling of spatiotemporal systems with transformers. In MPP, rather than training one model on a specific physical…

Simulations with high accuracy are an essential part of scientific research to accelerate the innovation process. They are especially useful for finding novel approaches or optimizing existing methods. Today, powerful software tools are…

Medical Physics · Physics 2022-08-31 Patrick Vogel , Martin A. Rückert , Thomas Kampf , Volker C. Behr

We present a novel method for guaranteeing linear momentum in learned physics simulations. Unlike existing methods, we enforce conservation of momentum with a hard constraint, which we realize via antisymmetrical continuous convolutional…

Machine Learning · Computer Science 2022-11-03 Lukas Prantl , Benjamin Ummenhofer , Vladlen Koltun , Nils Thuerey

We present our ongoing work aimed at accelerating a particle-resolved direct numerical simulation model designed to study aerosol-cloud-turbulence interactions. The dynamical model consists of two main components - a set of fluid dynamics…

Simulating the dynamics of ions near polarizable nanoparticles (NPs) using coarse-grained models is extremely challenging due to the need to solve the Poisson equation at every simulation timestep. Recently, a molecular dynamics (MD) method…

Computational Physics · Physics 2019-11-01 JCS Kadupitiya , Geoffrey C. Fox , Vikram Jadhao

Molecular dynamics (MD) simulations are a central tool in science and engineering enabling the study of dynamical behavior and the link between microscopic structure and macroscopic function. Their high computational cost, however, has…

Chemical Physics · Physics 2026-01-22 Salman N. Salman , Sergey A. Shteingolts , Ron Levie , Dan Mendels

Neuromorphic circuits mimic partial functionalities of brain in a bio-inspired information processing sense in order to achieve similar efficiencies as biological systems. While there are common mathematical models for neurons, which can be…

Emerging Technologies · Computer Science 2017-09-26 Enver Solan , Karlheinz Ochs

In this paper, we introduce a novel architecture to connecting adaptive learning and neural networks into an arbitrary machine's control system paradigm. Two consecutive Recurrent Neural Networks (RNNs) are used together to accurately model…

Machine Learning · Computer Science 2020-02-26 Srikanth Chandar , Harsha Sunder

We present a framework for the simulation of rigid and deformable bodies in the presence of contact and friction. Our method is based on a non-smooth Newton iteration that solves the underlying nonlinear complementarity problems (NCPs)…

Simulators driven by deep learning are gaining popularity as a tool for efficiently emulating accurate but expensive numerical simulators. Successful applications of such neural simulators can be found in the domains of physics, chemistry,…

Quantitative Methods · Quantitative Biology 2022-11-04 Koen Minartz , Yoeri Poels , Vlado Menkovski

This paper presents a new deep learning-based framework for robust nonlinear estimation and control using the concept of a Neural Contraction Metric (NCM). The NCM uses a deep long short-term memory recurrent neural network for a global…

Systems and Control · Electrical Eng. & Systems 2020-11-20 Hiroyasu Tsukamoto , Soon-Jo Chung

Active soft bodies can affect their shape through an internal actuation mechanism that induces a deformation. Similar to recent work, this paper utilizes a differentiable, quasi-static, and physics-based simulation layer to optimize for…

Computer Vision and Pattern Recognition · Computer Science 2024-01-29 Lingchen Yang , Byungsoo Kim , Gaspard Zoss , Baran Gözcü , Markus Gross , Barbara Solenthaler