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This paper considers one of the fundamental parallel-in-time methods for the solution of ordinary differential equations, Parareal, and extends it by adopting a neural network as a coarse propagator. We provide a theoretical analysis of the…

Numerical Analysis · Mathematics 2024-08-20 Marta M. Betcke , Lisa Maria Kreusser , Davide Murari

Stacking-based deep neural network (S-DNN) is aggregated with pluralities of basic learning modules, one after another, to synthesize a deep neural network (DNN) alternative for pattern classification. Contrary to the DNNs trained end to…

Computer Vision and Pattern Recognition · Computer Science 2019-05-09 Cheng-Yaw Low , Jaewoo Park , Andrew Beng-Jin Teoh

Dual descent methods are commonly used to solve network optimization problems because their implementation can be distributed through the network. However, their convergence rates are typically very slow. This paper introduces a family of…

Optimization and Control · Mathematics 2011-04-07 M. Zargham , A. Ribeiro , A. Jadbabaie , A. Ozdaglar

Artificial neural networks (ANNs) have now been widely used for industry applications and also played more important roles in fundamental researches. Although most ANN hardware systems are electronically based, optical implementation is…

We propose a novel deep network architecture for lifelong learning which we refer to as Dynamically Expandable Network (DEN), that can dynamically decide its network capacity as it trains on a sequence of tasks, to learn a compact…

Machine Learning · Computer Science 2018-06-12 Jaehong Yoon , Eunho Yang , Jeongtae Lee , Sung Ju Hwang

There exists many resource allocation problems in the field of wireless communications which can be formulated as the generalized assignment problems (GAP). GAP is a generic form of linear sum assignment problem (LSAP) and is more…

Machine Learning · Computer Science 2021-03-29 Arjun Kaushik , Mehrazin Alizadeh , Omer Waqar , Hina Tabassum

The expressiveness of neural networks highly depends on the nature of the activation function, although these are usually assumed predefined and fixed during the training stage. Under a signal processing perspective, in this paper we…

Signal Processing · Electrical Eng. & Systems 2024-05-28 Marc Martinez-Gost , Ana Pérez-Neira , Miguel Ángel Lagunas

In Deep Neural Networks (DNN) and Spiking Neural Networks (SNN), the information of a neuron is computed based on the sum of the amplitudes (weights) of the electrical potentials received in input from other neurons. We propose here a new…

Neural and Evolutionary Computing · Computer Science 2025-01-22 Alban Gattepaille , Alexandre Muzy

Processing visual data on mobile devices has many applications, e.g., emergency response and tracking. State-of-the-art computer vision techniques rely on large Deep Neural Networks (DNNs) that are usually too power-hungry to be deployed on…

Computer Vision and Pattern Recognition · Computer Science 2023-09-06 Ishmeet Kaur , Adwaita Janardhan Jadhav

This paper shows that a new type of artificial neural network (ANN) -- the Simultaneous Recurrent Network (SRN) -- can, if properly trained, solve a difficult function approximation problem which conventional ANNs -- either feedforward or…

adap-org · Physics 2007-05-23 X. Pang , P. Werbos

This paper presents Dual Action Policy (DAP), a novel approach to address the dynamics mismatch inherent in the sim-to-real gap of reinforcement learning. DAP uses a single policy to predict two sets of actions: one for maximizing task…

Machine Learning · Computer Science 2024-10-17 Ng Wen Zheng Terence , Chen Jianda

We propose a novel {\it Equilibrated Recurrent Neural Network} (ERNN) to combat the issues of inaccuracy and instability in conventional RNNs. Drawing upon the concept of autapse in neuroscience, we propose augmenting an RNN with a…

Machine Learning · Computer Science 2019-03-05 Ziming Zhang , Anil Kag , Alan Sullivan , Venkatesh Saligrama

The non-convexity of the artificial neural network (ANN) training landscape brings inherent optimization difficulties. While the traditional back-propagation stochastic gradient descent (SGD) algorithm and its variants are effective in…

Machine Learning · Computer Science 2025-06-18 Yatong Bai , Tanmay Gautam , Somayeh Sojoudi

The performance of artificial neural networks (ANNs) is influenced by weight initialization, the nature of activation functions, and their architecture. There is a wide range of activation functions that are traditionally used to train a…

Machine Learning · Statistics 2018-11-30 Saeid Safaei , Vahid Safaei , Solmazi Safaei , Zerotti Woods , Hamid R. Arabnia , Juan B. Gutierrez

The Nonlinear autoregressive exogenous (NARX) model, which predicts the current value of a time series based upon its previous values as well as the current and past values of multiple driving (exogenous) series, has been studied for…

Machine Learning · Computer Science 2017-08-15 Yao Qin , Dongjin Song , Haifeng Chen , Wei Cheng , Guofei Jiang , Garrison Cottrell

Dual decomposition is widely utilized in distributed optimization of multi-agent systems. In practice, the dual decomposition algorithm is desired to admit an asynchronous implementation due to imperfect communication, such as time delay…

Optimization and Control · Mathematics 2021-03-05 Yifan Su , Zhaojian Wang , Ming Cao , Mengshuo Jia , Feng Liu

This paper proposes a domain decomposition subspace neural network method for efficiently solving linear and nonlinear partial differential equations. By combining the principles of domain decomposition and subspace neural networks, the…

Numerical Analysis · Mathematics 2025-05-28 Zhenxing Fu , Hongliang Liu , Zhiqiang Sheng , Baixue Xing

A neural network is essentially a high-dimensional complex mapping model by adjusting network weights for feature fitting. However, the spectral bias in network training leads to unbearable training epochs for fitting the high-frequency…

Signal Processing · Electrical Eng. & Systems 2021-06-22 Zhi Zeng , Pengpeng Shi , Fulei Ma , Peihan Qi

Deep neural networks (DNNs) are efficient solvers for ill-posed problems and have been shown to outperform classical optimization techniques in several computational imaging problems. DNNs are trained by solving an optimization problem…

Image and Video Processing · Electrical Eng. & Systems 2019-06-14 Mo Deng , Alexandre Goy , Shuai Li , Kwabena Arthur , George Barbastathis

Deep neural networks (DNNs) have been widely deployed across diverse domains such as computer vision and natural language processing. However, the impressive accomplishments of DNNs have been realized alongside extensive computational…

Machine Learning · Computer Science 2023-11-28 Chuangtao Chen , Grace Li Zhang , Xunzhao Yin , Cheng Zhuo , Ulf Schlichtmann , Bing Li
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