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Neural differential equations are a promising new member in the neural network family. They show the potential of differential equations for time series data analysis. In this paper, the strength of the ordinary differential equation (ODE)…

Machine Learning · Computer Science 2020-05-21 Mansura Habiba , Barak A. Pearlmutter

Advances in optical and electrophysiological recording technologies have made it possible to record the dynamics of thousands of neurons, opening up new possibilities for interpreting and controlling large neural populations in behaving…

Neurons and Cognition · Quantitative Biology 2023-11-20 Fatih Dinc , Adam Shai , Mark Schnitzer , Hidenori Tanaka

Rapid simulations of advection-dominated problems are vital for multiple engineering and geophysical applications. In this paper, we present a long short-term memory neural network to approximate the nonlinear component of the reduced-order…

Machine Learning · Computer Science 2019-11-04 Romit Maulik , Vishwas Rao , Sandeep Madireddy , Bethany Lusch , Prasanna Balaprakash

Partial differential equations (PDEs) are fundamental to modeling complex and nonlinear physical phenomena, but their numerical solution often requires significant computational resources, particularly when a large number of forward full…

Computational Physics · Physics 2025-07-08 Qibang Liu , Seid Koric

Recurrent Neural Network (RNN) and its variations such as Long Short-Term Memory (LSTM) and Gated Recurrent Unit (GRU), have become standard building blocks for learning online data of sequential nature in many research areas, including…

Computation and Language · Computer Science 2020-05-12 Enmao Diao , Jie Ding , Vahid Tarokh

In this work we present a novel recurrent neural network architecture designed to model systems characterized by multiple characteristic timescales in their dynamics. The proposed network is composed by several recurrent groups of neurons…

Neural and Evolutionary Computing · Computer Science 2017-01-19 Filippo Maria Bianchi , Michael Kampffmeyer , Enrico Maiorino , Robert Jenssen

Deep learning is regarded as a promising solution for reversible steganography. There is an accelerating trend of representing a reversible steo-system by monolithic neural networks, which bypass intermediate operations in traditional…

Multimedia · Computer Science 2023-03-08 Ching-Chun Chang , Xu Wang , Sisheng Chen , Isao Echizen , Victor Sanchez , Chang-Tsun Li

A novel strategy to automated classification is introduced which exploits a fully trained dynamical system to steer items belonging to different categories toward distinct asymptotic attractors. These latter are incorporated into the model…

Disordered Systems and Neural Networks · Physics 2023-02-01 Lorenzo Chicchi , Duccio Fanelli , Lorenzo Giambagli , Lorenzo Buffoni , Timoteo Carletti

Diffractive neural networks leverage the high-dimensional characteristics of electromagnetic (EM) fields for high-throughput computing. However, the existing architectures face challenges in integrating large-scale multidimensional…

Optics · Physics 2025-09-09 Songtao Yang , Sheng Gao , Chu Wu , Zejia Zhao , Haiou Zhang , Xing Lin

Recurrent neural network (RNN)'s architecture is a key factor influencing its performance. We propose algorithms to optimize hidden sizes under running time constraint. We convert the discrete optimization into a subset selection problem.…

Machine Learning · Statistics 2018-02-22 Junqi Jin , Ziang Yan , Kun Fu , Nan Jiang , Changshui Zhang

Diffractive deep neural networks (D2NNs), which perform computation using light instead of electrons, offer a promising pathway toward accelerating artificial intelligence by leveraging the inherent advantages of optics in speed,…

Optics · Physics 2025-07-24 Haoyu Wang , Yanmin Zhu , Tong Fu

Humans solving algorithmic (or) reasoning problems typically exhibit solution times that grow as a function of problem difficulty. Adaptive recurrent neural networks have been shown to exhibit this property for various language-processing…

Computer Vision and Pattern Recognition · Computer Science 2023-11-14 Vijay Veerabadran , Srinivas Ravishankar , Yuan Tang , Ritik Raina , Virginia R. de Sa

Optical neural networks are at the forefront of computational innovation, utilizing photons as the primary carriers of information and employing optical components for computation. However, the fundamental nonlinear optical device in the…

Recurrent Neural Network (RNN) has been successfully applied in many sequence learning problems. Such as handwriting recognition, image description, natural language processing and video motion analysis. After years of development,…

Machine Learning · Computer Science 2018-11-01 Guoqiang Zhong , Guohua Yue , Xiao Ling

Continual learning in computer vision requires that models adapt to a continuous stream of tasks without forgetting prior knowledge, yet existing approaches often tip the balance heavily toward either plasticity or stability. We introduce…

Machine Learning · Computer Science 2025-07-21 Étienne Künzel , Achref Jaziri , Visvanathan Ramesh

We develop a novel deep learning technique, termed Deep Orthogonal Decomposition (DOD), for dimensionality reduction and reduced order modeling of parameter dependent partial differential equations. The approach consists in the construction…

Numerical Analysis · Mathematics 2024-05-15 Nicola Rares Franco , Andrea Manzoni , Paolo Zunino , Jan S. Hesthaven

Deep neural networks (DNN) have demonstrated effectiveness for various applications such as image processing, video segmentation, and speech recognition. Running state-of-the-art DNNs on current systems mostly relies on either…

Neural and Evolutionary Computing · Computer Science 2019-04-15 Mohsen Imani , Mohammad Samragh , Yeseong Kim , Saransh Gupta , Farinaz Koushanfar , Tajana Rosing

Physical neural networks offer a transformative route to edge intelligence, providing superior inference speed and energy efficiency compared to conventional digital architectures. However, realizing scalable, end-to-end, fully analog…

Machine Learning · Computer Science 2026-04-21 Zixin Zhou , Tianxi Jiang , Menglong Yang , Zhihua Feng , Qingbo He , Shiwu Zhang

We introduce an all-optical Diffractive Deep Neural Network (D2NN) architecture that can learn to implement various functions after deep learning-based design of passive diffractive layers that work collectively. We experimentally…

Neural and Evolutionary Computing · Computer Science 2018-09-26 Xing Lin , Yair Rivenson , Nezih T. Yardimci , Muhammed Veli , Mona Jarrahi , Aydogan Ozcan

Training recurrent neural networks (RNNs) is a hard problem due to degeneracies in the optimization landscape, a problem also known as vanishing/exploding gradients. Short of designing new RNN architectures, previous methods for dealing…

Neural and Evolutionary Computing · Computer Science 2020-02-11 A. Emin Orhan , Xaq Pitkow
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