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The current paper presents a novel recurrent neural network model, the predictive multiple spatio-temporal scales RNN (P-MSTRNN), which can generate as well as recognize dynamic visual patterns in the predictive coding framework. The model…

计算机视觉与模式识别 · 计算机科学 2017-03-20 Minkyu Choi , Jun Tani

Recent advances in machine learning have led to a surge in adoption of neural networks for various tasks, but lack of interpretability remains an issue for many others in which an understanding of the features influencing the prediction is…

A common problem in time series analysis is to predict dynamics with only scalar or partial observations of the underlying dynamical system. For data on a smooth compact manifold, Takens theorem proves a time delayed embedding of the…

机器学习 · 计算机科学 2023-04-12 Charles D. Young , Michael D. Graham

Deep learning techniques have shown promise in many domain applications. This paper proposes a novel deep reservoir computing framework, termed deep recurrent stochastic configuration network (DeepRSCN) for modelling nonlinear dynamic…

机器学习 · 计算机科学 2024-10-29 Gang Dang , Dianhui Wang

A core technology that has emerged from the artificial intelligence revolution is the recurrent neural network (RNN). Its unique sequence-based architecture provides a tractable likelihood estimate with stable training paradigms, a…

无序系统与神经网络 · 物理学 2020-07-01 Mohamed Hibat-Allah , Martin Ganahl , Lauren E. Hayward , Roger G. Melko , Juan Carrasquilla

In this paper, we introduce a modular deep neural network (DNN) framework for data-driven reduced order modeling of dynamical systems relevant to fluid flows. We propose various deep neural network architectures which numerically predict…

计算物理 · 物理学 2019-09-04 S. Pawar , S. M. Rahman , H. Vaddireddy , O. San , A. Rasheed , P. Vedula

The Linear Representation Hypothesis (LRH) states that neural networks learn to encode concepts as directions in activation space, and a strong version of the LRH states that models learn only such encodings. In this paper, we present a…

机器学习 · 计算机科学 2024-08-21 Róbert Csordás , Christopher Potts , Christopher D. Manning , Atticus Geiger

Time series models with recurrent neural networks (RNNs) can have high accuracy but are unfortunately difficult to interpret as a result of feature-interactions, temporal-interactions, and non-linear transformations. Interpretability is…

机器学习 · 计算机科学 2021-09-17 Asif Rahman , Yale Chang , Jonathan Rubin

We show that in addition to providing effective and competitive closures, when analysed in terms of dynamics and physically-relevant diagnostics, artificial neural networks (ANNs) can be both interpretable and provide useful insights in the…

计算物理 · 物理学 2020-12-30 Gavin D. Portwood , Balasubramanya T. Nadiga , Juan A. Saenz , Daniel Livescu

This paper addresses the general problem of reinforcement learning (RL) in partially observable environments. In 2013, our large RL recurrent neural networks (RNNs) learned from scratch to drive simulated cars from high-dimensional video…

人工智能 · 计算机科学 2015-12-01 Juergen Schmidhuber

Partial differential equations (PDEs) play a crucial role in studying a vast number of problems in science and engineering. Numerically solving nonlinear and/or high-dimensional PDEs is often a challenging task. Inspired by the traditional…

数值分析 · 数学 2022-01-11 Yihao Hu , Tong Zhao , Shixin Xu , Zhiliang Xu , Lizhen Lin

A central aim in computational neuroscience is to relate the activity of large populations of neurons to an underlying dynamical system. Models of these neural dynamics should ideally be both interpretable and fit the observed data well.…

机器学习 · 计算机科学 2025-02-27 Matthijs Pals , A Erdem Sağtekin , Felix Pei , Manuel Gloeckler , Jakob H Macke

We propose Symplectic Recurrent Neural Networks (SRNNs) as learning algorithms that capture the dynamics of physical systems from observed trajectories. An SRNN models the Hamiltonian function of the system by a neural network and…

机器学习 · 计算机科学 2020-04-28 Zhengdao Chen , Jianyu Zhang , Martin Arjovsky , Léon Bottou

Many problems in science and engineering involve time-dependent, high dimensional datasets arising from complex physical processes, which are costly to simulate. In this work, we propose WeldNet: Windowed Encoders for Learning Dynamics, a…

机器学习 · 统计学 2025-12-15 Biraj Dahal , Jiahui Cheng , Hao Liu , Rongjie Lai , Wenjing Liao

Deep Reinforcement Learning (DRL) has achieved impressive success in many applications. A key component of many DRL models is a neural network representing a Q function, to estimate the expected cumulative reward following a state-action…

机器学习 · 计算机科学 2018-07-17 Guiliang Liu , Oliver Schulte , Wang Zhu , Qingcan Li

Simulating turbulence is critical for many societally important applications in aerospace engineering, environmental science, the energy industry, and biomedicine. Large eddy simulation (LES) has been widely used as an alternative to direct…

流体动力学 · 物理学 2023-12-13 Shengyu Chen , Tianshu Bao , Peyman Givi , Can Zheng , Xiaowei Jia

Deep neural networks (DNNs) can be useful within the marine robotics field, but their utility value is restricted by their black-box nature. Explainable artificial intelligence methods attempt to understand how such black-boxes make their…

机器人学 · 计算机科学 2022-03-02 Vilde B. Gjærum , Inga Strümke , Ole Andreas Alsos , Anastasios M. Lekkas

Point-to-point and periodic motions are ubiquitous in the world of robotics. To master these motions, Autonomous Dynamic System (DS) based algorithms are fundamental in the domain of Learning from Demonstration (LfD). However, these…

机器人学 · 计算机科学 2024-07-16 Yu Zhang , Haoyu Zhang , Yongxiang Zou , Houcheng Li , Long Cheng

Soft robots pose difficulties in terms of control, requiring novel strategies to effectively manipulate their compliant structures. Model-based approaches face challenges due to the high dimensionality and nonlinearities such as hysteresis…

We propose a novel framework for learning a low-dimensional representation of data based on nonlinear dynamical systems, which we call dynamical dimension reduction (DDR). In the DDR model, each point is evolved via a nonlinear flow towards…

机器学习 · 统计学 2022-04-19 Ryeongkyung Yoon , Braxton Osting
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