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Hamiltonian neural networks (HNNs) represent a promising class of physics-informed deep learning methods that utilize Hamiltonian theory as foundational knowledge within neural networks. However, their direct application to engineering…

机器学习 · 计算机科学 2025-02-21 Sarvin Moradi , Gerben I. Beintema , Nick Jaensson , Roland Tóth , Maarten Schoukens

The advantage of recurrent neural networks (RNNs) in learning dependencies between time-series data has distinguished RNNs from other deep learning models. Recently, many advances are proposed in this emerging field. However, there is a…

神经与进化计算 · 计算机科学 2016-02-16 Hojjat Salehinejad

Recurrent neural networks (RNNs) notoriously struggle to learn long-term memories, primarily due to vanishing and exploding gradients. The recent success of state-space models (SSMs), a subclass of RNNs, to overcome such difficulties…

机器学习 · 计算机科学 2024-11-06 Nicolas Zucchet , Antonio Orvieto

Discovering the neural mechanisms underpinning cognition is one of the grand challenges of neuroscience. However, previous approaches for building models of RNN dynamics that explain behaviour required iterative refinement of architectures…

神经元与认知 · 定量生物学 2026-02-24 Puria Radmard , Paul M. Bays , Máté Lengyel

Discrete-time modeling of acoustic, mechanical and electrical systems is a prominent topic in the musical signal processing literature. Such models are mostly derived by discretizing a mathematical model, given in terms of ordinary or…

Biological oscillations are periodic changes in various signaling processes crucial for the proper functioning of living organisms. These oscillations are modeled by ordinary differential equations, with coefficient variations leading to…

机器学习 · 计算机科学 2024-12-04 Heng Rao , Yu Gu , Jason Zipeng Zhang , Ge Yu , Yang Cao , Minghan Chen

A model of the columnar functional organization of neocortical association areas is studied. The neuronal network is composed of many Hebbian autoassociators, or modules, each of which interacts with a relatively small number of the others.…

无序系统与神经网络 · 物理学 2020-05-14 Carlo Fulvi Mari

Recurrent Neural networks (RNN) have shown promising potential for learning dynamics of sequential data. However, artificial neural networks are known to exhibit poor robustness in presence of input noise, where the sequential architecture…

机器学习 · 计算机科学 2021-05-05 Arash Amini , Guangyi Liu , Nader Motee

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…

系统与控制 · 电气工程与系统科学 2020-11-20 Hiroyasu Tsukamoto , Soon-Jo Chung

A networked oscillator based analysis is performed for periodic bluff body flows to examine and control the transfer of kinetic energy. Spatial modes extracted from the flow field with corresponding amplitudes form a set of oscillators…

流体动力学 · 物理学 2018-06-27 Aditya G. Nair , Steven L. Brunton , Kunihiko Taira

Recommender systems objectives can be broadly characterized as modeling user preferences over short-or long-term time horizon. A large body of previous research studied long-term recommendation through dimensionality reduction techniques…

信息检索 · 计算机科学 2018-07-25 Kiewan Villatel , Elena Smirnova , Jérémie Mary , Philippe Preux

Neural networks (NNs) are inherently multidimensional classifiers that learn complex, non-linear relationships among input observables. While their flexibility enables unprecedented performance in high-energy physics (HEP) analyses, it also…

Short-term memory is essential for cognitive processing, yet our understanding of its neural mechanisms remains unclear. Neuroscience has long focused on how sequential activity patterns, where neurons fire one after another within large…

Stability in recurrent neural models poses a significant challenge, particularly in developing biologically plausible neurodynamical models that can be seamlessly trained. Traditional cortical circuit models are notoriously difficult to…

神经元与认知 · 定量生物学 2025-01-16 Shivang Rawat , David J. Heeger , Stefano Martiniani

The problem of learning long-term dependencies in sequences using Recurrent Neural Networks (RNNs) is still a major challenge. Recent methods have been suggested to solve this problem by constraining the transition matrix to be unitary…

机器学习 · 计算机科学 2017-06-14 Zakaria Mhammedi , Andrew Hellicar , Ashfaqur Rahman , James Bailey

We theoretically study an artificial neuron circuit containing a quantum memristor in the presence of relaxation and dephasing. The charge transport in the quantum element is realized via tunneling of a charge through a quantum particle…

量子物理 · 物理学 2024-05-02 Finlay Potter , Alexandre Zagoskin , Sergey Saveliev , Alexander G Balanov

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

The long short-term memory (LSTM) neural network is capable of processing complex sequential information since it utilizes special gating schemes for learning representations from long input sequences. It has the potential to model any…

计算机视觉与模式识别 · 计算机科学 2015-04-28 Vivek Veeriah , Naifan Zhuang , Guo-Jun Qi

We present Higher-Order Tensor RNN (HOT-RNN), a novel family of neural sequence architectures for multivariate forecasting in environments with nonlinear dynamics. Long-term forecasting in such systems is highly challenging, since there…

机器学习 · 计算机科学 2019-08-27 Rose Yu , Stephan Zheng , Anima Anandkumar , Yisong Yue

This paper presents a novel approach to advancing artificial intelligence (AI) through the development of the Complex Recurrent Spectral Network ($\mathbb{C}$-RSN), an innovative variant of the Recurrent Spectral Network (RSN) model. The…

机器学习 · 计算机科学 2023-12-13 Lorenzo Chicchi , Lorenzo Giambagli , Lorenzo Buffoni , Raffaele Marino , Duccio Fanelli