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This paper introduces new model parameterizations for learning discrete-time dynamical systems from data via the Koopman operator and studies their properties. Whereas most existing works on Koopman learning do not take into account the…

系统与控制 · 电气工程与系统科学 2025-05-09 Fletcher Fan , Bowen Yi , David Rye , Guodong Shi , Ian R. Manchester

Recurrent Neural Networks (RNNs) have been proven to be effective in modeling sequential data and they have been applied to boost a variety of tasks such as document classification, speech recognition and machine translation. Most of…

计算与语言 · 计算机科学 2018-08-21 Zhiwei Wang , Yao Ma , Dawei Yin , Jiliang Tang

Owing to their superior modeling capabilities, gated Recurrent Neural Networks, such as Gated Recurrent Units (GRUs) and Long Short-Term Memory networks (LSTMs), have become popular tools for learning dynamical systems. This paper aims to…

机器学习 · 计算机科学 2022-03-18 Fabio Bonassi , Riccardo Scattolini

In recent years, advanced model-based and data-driven control methods are unlocking the potential of complex robotics systems, and we can expect this trend to continue at an exponential rate in the near future. However, ensuring safety with…

机器人学 · 计算机科学 2024-08-29 Gianni Lunardi , Asia La Rocca , Matteo Saveriano , Andrea Del Prete

Performative prediction is a framework for learning models that influence the data they intend to predict. We focus on finding classifiers that are performatively stable, i.e. optimal for the data distribution they induce. Standard…

机器学习 · 计算机科学 2025-02-07 Mehrnaz Mofakhami , Ioannis Mitliagkas , Gauthier Gidel

Deep Equilibrium Models (DEQs) have emerged as a powerful paradigm in deep learning, offering the ability to model infinite-depth networks with constant memory usage. However, DEQs incur significant inference latency due to the iterative…

机器学习 · 计算机科学 2026-02-04 Junchao Lin , Zenan Ling , Jingwen Xu , Robert C. Qiu

This paper presents the recurrent estimation of distributions (RED) for modeling real-valued data in a semiparametric fashion. RED models make two novel uses of recurrent neural networks (RNNs) for density estimation of general real-valued…

机器学习 · 计算机科学 2017-05-31 Junier B. Oliva , Kumar Avinava Dubey , Barnabas Poczos , Eric Xing , Jeff Schneider

We investigate robust model-free reinforcement learning algorithms designed for environments that may be dynamic or even adversarial. Traditional state-based policies often struggle to accommodate the challenges imposed by the presence of…

机器学习 · 计算机科学 2023-11-02 Udaya Ghai , Arushi Gupta , Wenhan Xia , Karan Singh , Elad Hazan

Contraction metrics are crucial in control theory because they provide a powerful framework for analyzing stability, robustness, and convergence of various dynamical systems. However, identifying these metrics for complex nonlinear systems…

最优化与控制 · 数学 2025-04-25 Haoyu Li , Xiangru Zhong , Bin Hu , Huan Zhang

We propose a novel framework for learning stabilizable nonlinear dynamical systems for continuous control tasks in robotics. The key idea is to develop a new control-theoretic regularizer for dynamics fitting rooted in the notion of…

系统与控制 · 计算机科学 2018-11-13 Sumeet Singh , Vikas Sindhwani , Jean-Jacques E. Slotine , Marco Pavone

Binary neural networks (BNNs) have received ever-increasing popularity for their great capability of reducing storage burden as well as quickening inference time. However, there is a severe performance drop compared with real-valued…

机器学习 · 计算机科学 2023-02-07 Sheng Xu , Yanjing Li , Teli Ma , Mingbao Lin , Hao Dong , Baochang Zhang , Peng Gao , Jinhu Lv

Deep equilibrium networks (DEQs) are a new class of models that eschews traditional depth in favor of finding the fixed point of a single nonlinear layer. These models have been shown to achieve performance competitive with the…

机器学习 · 计算机科学 2021-06-29 Shaojie Bai , Vladlen Koltun , J. Zico Kolter

Recurrent neural networks (RNNs) are a widely used tool for modeling sequential data, yet they are often treated as inscrutable black boxes. Given a trained recurrent network, we would like to reverse engineer it--to obtain a quantitative,…

机器学习 · 计算机科学 2019-12-06 Niru Maheswaranathan , Alex Williams , Matthew D. Golub , Surya Ganguli , David Sussillo

Recent research shows that supervised learning can be an effective tool for designing near-optimal feedback controllers for high-dimensional nonlinear dynamic systems. But the behavior of neural network controllers is still not well…

最优化与控制 · 数学 2022-10-10 Tenavi Nakamura-Zimmerer , Qi Gong , Wei Kang

We introduce a provably stable variant of neural ordinary differential equations (neural ODEs) whose trajectories evolve on an energy functional parametrised by a neural network. Stable neural flows provide an implicit guarantee on…

机器学习 · 计算机科学 2020-03-19 Stefano Massaroli , Michael Poli , Michelangelo Bin , Jinkyoo Park , Atsushi Yamashita , Hajime Asama

We propose a novel way to integrate control techniques with reinforcement learning (RL) for stability, robustness, and generalization: leveraging contraction theory to realize modularity in neural control, which ensures that combining…

机器学习 · 计算机科学 2023-11-08 Bing Song , Jean-Jacques Slotine , Quang-Cuong Pham

In recent years, Neural Networks (NNs) have been employed to control nonlinear systems due to their potential capability in dealing with situations that might be difficult for conventional nonlinear control schemes. However, to the best of…

最优化与控制 · 数学 2025-02-04 Anran Li , John P. Swensen , Mehdi Hosseinzadeh

Neural networks are powerful tools for data-driven modeling of complex dynamical systems, enhancing predictive capability for control applications. However, their inherent nonlinearity and black-box nature challenge control designs that…

系统与控制 · 电气工程与系统科学 2025-05-20 Xiao Li , Tianhao Wei , Changliu Liu , Anouck Girard , Ilya Kolmanovsky

Recurrent neural networks (RNNs) are powerful constructs capable of modeling complex systems, up to and including Turing Machines. However, learning such complex models from finite training sets can be difficult. In this paper we…

机器学习 · 统计学 2018-10-23 John Clemens

This work presents several improvements to the closed-loop stability verification framework using semialgebraic sets and convex semidefinite programming to examine neural-network-based control systems regulating nonlinear dynamical systems.…

系统与控制 · 电气工程与系统科学 2025-07-15 Alvaro Detailleur , Guillaume Ducard , Christopher Onder