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We study Transformers through the perspective of optimal control theory, using tools from continuous-time formulations to derive actionable insights into training and architecture design. This framework improves the performance of existing…

Machine Learning · Computer Science 2025-10-27 Kelvin Kan , Xingjian Li , Benjamin J. Zhang , Tuhin Sahai , Stanley Osher , Markos A. Katsoulakis

Large-scale models have exhibited remarkable capabilities across diverse domains, including automated medical services and intelligent customer support. However, as most large models are trained on single-modality corpora, enabling them to…

Computer Vision and Pattern Recognition · Computer Science 2025-08-26 Hao Sun , Yu Song , Jiaqing Liu , Jihong Hu , Yen-Wei Chen , Lanfen Lin

Neural Operators offer a powerful, data-driven tool for solving parametric PDEs as they can represent maps between infinite-dimensional function spaces. In this work, we employ physics-informed Neural Operators in the context of…

Machine Learning · Statistics 2023-03-08 Sebastian Kaltenbach , Paris Perdikaris , Phaedon-Stelios Koutsourelakis

Few-shot learning aims to adapt knowledge learned from previous tasks to novel tasks with only a limited amount of labeled data. Research literature on few-shot learning exhibits great diversity, while different algorithms often excel at…

Computer Vision and Pattern Recognition · Computer Science 2021-09-14 Chi Zhang , Henghui Ding , Guosheng Lin , Ruibo Li , Changhu Wang , Chunhua Shen

As an emerging paradigm in scientific machine learning, neural operators aim to learn operators, via neural networks, that map between infinite-dimensional function spaces. Several neural operators have been recently developed. However, all…

Machine Learning · Computer Science 2022-02-15 Pengzhan Jin , Shuai Meng , Lu Lu

We propose a neural network approach for solving high-dimensional optimal control problems. In particular, we focus on multi-agent control problems with obstacle and collision avoidance. These problems immediately become high-dimensional,…

Optimization and Control · Mathematics 2022-05-05 Derek Onken , Levon Nurbekyan , Xingjian Li , Samy Wu Fung , Stanley Osher , Lars Ruthotto

Controlling continuous-time dynamical systems is generally a two step process: first, identify or model the system dynamics with differential equations, then, minimize the control objectives to achieve optimal control function and optimal…

Artificial Intelligence · Computer Science 2024-04-23 Cheng Chi

In this work we present a method for learning a reactive policy for a simple dynamic locomotion task involving hard impact and switching contacts where we assume the contact location and contact timing to be unknown. To learn such a policy,…

Robotics · Computer Science 2018-08-07 Julian Viereck , Jules Kozolinsky , Alexander Herzog , Ludovic Righetti

Adaptive methods are popular within the control literature due to the flexibility and forgiveness they offer in the area of modelling. Neural network adaptive control is favorable specifically for the powerful nature of the machine learning…

Systems and Control · Electrical Eng. & Systems 2021-07-23 Nathan Lutes , K. Krishnamurthy , Venkata Sriram Siddhardh Nadendla , S. N. Balakrishnan

This work is concerned with solving neural network-based feedback controllers efficiently for optimal control problems. We first conduct a comparative study of two prevalent approaches: offline supervised learning and online direct policy…

Optimization and Control · Mathematics 2024-04-10 Yue Zhao , Jiequn Han

Koopman operator theory, a powerful framework for discovering the underlying dynamics of nonlinear dynamical systems, was recently shown to be intimately connected with neural network training. In this work, we take the first steps in…

Neural and Evolutionary Computing · Computer Science 2021-10-08 Akshunna S. Dogra , William T Redman

A novel neural network (NN) approach is proposed for constrained optimization. The proposed method uses a specially designed NN architecture and training/optimization procedure called Neural Optimization Machine (NOM). The objective…

Machine Learning · Statistics 2022-08-10 Jie Chen , Yongming Liu

Robotic manipulation demands precise control over both contact forces and motion trajectories. While force control is essential for achieving compliant interaction and high-frequency adaptation, it is limited to operations in close…

Robotics · Computer Science 2025-06-23 Melih Özcan , Ozgur S. Oguz

Designing shared neural architecture plays an important role in multi-task learning. The challenge is that finding an optimal sharing scheme heavily relies on the expert knowledge and is not scalable to a large number of diverse tasks.…

Artificial Intelligence · Computer Science 2018-08-24 Junkun Chen , Kaiyu Chen , Xinchi Chen , Xipeng Qiu , Xuanjing Huang

Pre-trained generalist policies are rapidly gaining relevance in robot learning due to their promise of fast adaptation to novel, in-domain tasks. This adaptation often relies on collecting new demonstrations for a specific task of interest…

Machine Learning · Computer Science 2025-06-24 Marco Bagatella , Jonas Hübotter , Georg Martius , Andreas Krause

Animals excel at adapting their intentions, attention, and actions to the environment, making them remarkably efficient at interacting with a rich, unpredictable and ever-changing external world, a property that intelligent machines…

Machine Learning · Computer Science 2019-12-09 Nicolas Vecoven , Damien Ernst , Antoine Wehenkel , Guillaume Drion

Letting robots emulate human behavior has always posed a challenge, particularly in scenarios involving multiple robots. In this paper, we presented a framework aimed at achieving multi-agent reinforcement learning for robot control in…

Robotics · Computer Science 2023-05-25 Kangkang Duan , Christine Wun Ki Suen , Zhengbo Zou

Engineers learn from every design they create, building intuition that helps them quickly identify promising solutions for new problems. Topology optimization (TO) - a well-established computational method for designing structures with…

Computational Engineering, Finance, and Science · Computer Science 2025-02-05 Igor Kuszczak , Gawel Kus , Federico Bosi , Miguel A. Bessa

Multi-task learning solves multiple correlated tasks. However, conflicts may exist between them. In such circumstances, a single solution can rarely optimize all the tasks, leading to performance trade-offs. To arrive at a set of optimized…

Artificial Intelligence · Computer Science 2024-03-26 Lu Bai , Abhishek Gupta , Yew-Soon Ong

Data availability has dramatically increased in recent years, driving model-based control methods to exploit learning techniques for improving the system description, and thus control performance. Two key factors that hinder the practical…

Systems and Control · Electrical Eng. & Systems 2022-11-22 Elena Arcari , Andrea Carron , Melanie N. Zeilinger
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