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Established recurrent neural networks are well-suited to solve a wide variety of prediction tasks involving discrete sequences. However, they do not perform as well in the task of dynamical system identification, when dealing with…

机器学习 · 计算机科学 2019-11-22 Thomas Demeester

State estimation from limited sensor measurements is ubiquitously found as a common challenge in a broad range of fields including mechanics, astronomy, and geophysics. Fluid mechanics is no exception -- state estimation of fluid flows is…

流体动力学 · 物理学 2022-06-01 Taichi Nakamura , Koji Fukagata

Recurrent Networks are one of the most powerful and promising artificial neural network algorithms to processing the sequential data such as natural languages, sound, time series data. Unlike traditional feed-forward network, Recurrent…

机器学习 · 计算机科学 2018-07-11 Pushparaja Murugan

Recurrent neural network is a powerful model that learns temporal patterns in sequential data. For a long time, it was believed that recurrent networks are difficult to train using simple optimizers, such as stochastic gradient descent, due…

神经与进化计算 · 计算机科学 2015-04-20 Tomas Mikolov , Armand Joulin , Sumit Chopra , Michael Mathieu , Marc'Aurelio Ranzato

For a given stable recurrent neural network (RNN) that is trained to perform a classification task using sequential inputs, we quantify explicit robustness bounds as a function of trainable weight matrices. The sequential inputs can be…

机器学习 · 计算机科学 2022-03-11 Guangyi Liu , Arash Amini , Martin Takac , Nader Motee

This paper introduces recurrent equilibrium networks (RENs), a new class of nonlinear dynamical models} for applications in machine learning, system identification and control. The new model class admits ``built in'' behavioural guarantees…

机器学习 · 计算机科学 2023-07-13 Max Revay , Ruigang Wang , Ian R. Manchester

Classical methods of solving spatiotemporal dynamical systems include statistical approaches such as autoregressive integrated moving average, which assume linear and stationary relationships between systems' previous outputs. Development…

动力系统 · 数学 2022-02-16 Yonggi Park , Kelum Gajamannage , Dilhani I. Jayathilake , Erik M. Bollt

Polynomial regression is a recurrent problem with a large number of applications. In computer vision it often appears in motion analysis. Whatever the application, standard methods for regression of polynomial models tend to deliver biased…

计算机视觉与模式识别 · 计算机科学 2018-05-24 Juan-Manuel Perez-Rua , Tomas Crivelli , Patrick Bouthemy , Patrick Perez

Neural networks achieve outstanding accuracy in classification and regression tasks. However, understanding their behavior still remains an open challenge that requires questions to be addressed on the robustness, explainability and…

机器学习 · 计算机科学 2021-05-13 Anna-Kathrin Kopetzki , Stephan Günnemann

Recurrent neural network-based reinforcement learning systems are capable of complex motor control tasks such as locomotion and manipulation, however, much of their underlying mechanisms still remain difficult to interpret. Our aim is to…

机器人学 · 计算机科学 2023-06-29 Eugene R. Rush , Christoffer Heckman , Kaushik Jayaram , J. Sean Humbert

We consider the following learning problem: Given sample pairs of input and output signals generated by an unknown nonlinear system (which is not assumed to be causal or time-invariant), we wish to find a continuous-time recurrent neural…

机器学习 · 计算机科学 2021-11-18 Joshua Hanson , Maxim Raginsky , Eduardo Sontag

This paper presents a method that learns a regionally stable recurrent neural network model from a set of input-output data generated by an unknown dynamical system. Relying on generalized sector conditions on the deadzone activation…

系统与控制 · 电气工程与系统科学 2026-05-19 Daniel Frank , Fahim Shakib , Steffen Staab

Recurrent neural networks have gained widespread use in modeling sequential data. Learning long-term dependencies using these models remains difficult though, due to exploding or vanishing gradients. In this paper, we draw connections…

机器学习 · 统计学 2019-02-27 Bo Chang , Minmin Chen , Eldad Haber , Ed H. Chi

Recurrent neural networks (RNNs) are nonlinear dynamical models commonly used in the machine learning and dynamical systems literature to represent complex dynamical or sequential relationships between variables. More recently, as deep…

统计方法学 · 统计学 2018-02-08 Patrick L. McDermott , Christopher K. Wikle

Assessing an athlete's performance in canoe sprint is often established by measuring a variety of kinematic parameters during training sessions. Many of these parameters are related to single or multiple paddle stroke cycles. Determining…

计算机视觉与模式识别 · 计算机科学 2025-03-26 Sarah Rockstroh , Patrick Frenzel , Daniel Matthes , Kay Schubert , David Wollburg , Mirco Fuchs

The lateral-line system that has evolved in many aquatic animals enables them to navigate murky fluid environments, locate and discriminate obstacles. Here, we present a data-driven model that uses artificial neural networks to process flow…

流体动力学 · 物理学 2022-09-28 Sreetej Lakkam , Balamurali B T , Roland Bouffanais

We propose a recurrent neural network for a "model-free" simulation of a dynamical system with unknown parameters without prior knowledge. The deep learning model aims to jointly learn the nonlinear time marching operator and the effects of…

机器学习 · 计算机科学 2021-03-01 Kyongmin Yeo , Dylan E. C. Grullon , Fan-Keng Sun , Duane S. Boning , Jayant R. Kalagnanam

Generative Flow Networks (GFlowNets) learn to sample states proportional to an unnormalized reward. Despite their theoretical promise, practical training is often unstable, exhibiting severe loss spikes and mode collapse. To tackle this, we…

As a surrogate for computationally intensive meso-scale simulation of woven composites, this article presents Recurrent Neural Network (RNN) models. Leveraging the power of transfer learning, the initialization challenges and sparse data…

材料科学 · 物理学 2024-07-08 Ehsan Ghane , Martin Fagerström , Mohsen Mirkhalaf

A recurrent neural network with noisy input is studied analytically, on the basis of a Discrete Time Master Equation. The latter is derived from a biologically realizable learning rule for the weights of the connections. In a numerical…

无序系统与神经网络 · 物理学 2009-10-31 M. Heerema , W. A. van Leeuwen