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The artificial neural network is a popular framework in machine learning. To empower individual neurons, we recently suggested that the current type of neurons could be upgraded to 2nd order counterparts, in which the linear operation…

Machine Learning · Computer Science 2017-08-22 Fenglei Fan , Wenxiang Cong , Ge Wang

Backpropagation algorithm is the cornerstone for neural network analysis. Paper extends it for training any derivatives of neural network's output with respect to its input. By the dint of it feedforward networks can be used to solve or…

Neural and Evolutionary Computing · Computer Science 2017-12-13 V. I. Avrutskiy

The backpropagation of error algorithm used to train deep neural networks has been fundamental to the successes of deep learning. However, it requires sequential backward updates and non-local computations, which make it challenging to…

Neural and Evolutionary Computing · Computer Science 2022-02-22 Beren Millidge , Tommaso Salvatori , Yuhang Song , Rafal Bogacz , Thomas Lukasiewicz

Neural networks have long strived to emulate the learning capabilities of the human brain. While deep neural networks (DNNs) draw inspiration from the brain in neuron design, their training methods diverge from biological foundations.…

Neural and Evolutionary Computing · Computer Science 2026-02-24 Joseph Bingham , Saman Zonouz , Dvir Aran

Training deep neural networks typically relies on backpropagating high dimensional error signals a computationally intensive process with little evidence supporting its implementation in the brain. However, since most tasks involve…

Machine Learning · Computer Science 2026-01-15 Maher Hanut , Jonathan Kadmon

Training with backpropagation (BP) in standard deep learning consists of two main steps: a forward pass that maps a data point to its prediction, and a backward pass that propagates the error of this prediction back through the network.…

Machine Learning · Computer Science 2022-10-13 Tommaso Salvatori , Luca Pinchetti , Beren Millidge , Yuhang Song , Tianyi Bao , Rafal Bogacz , Thomas Lukasiewicz

Despite the widespread adoption of Backpropagation algorithm-based Deep Neural Networks, the biological infeasibility of the BP algorithm could potentially limit the evolution of new DNN models. To find a biologically plausible algorithm to…

Neural and Evolutionary Computing · Computer Science 2024-02-29 Jian-Hui Chen , Cheng-Lin Liu , Zuoren Wang

In the last decade, deep learning has become a major component of artificial intelligence. The workhorse of deep learning is the optimization of loss functions by stochastic gradient descent (SGD). Traditionally in deep learning, neural…

Machine Learning · Computer Science 2021-04-27 Benjamin Scellier

Neural networks (NN)-based learning algorithms are strongly affected by the choices of initialization and data distribution. Different optimization strategies have been proposed for improving the learning trajectory and finding a better…

Machine Learning · Computer Science 2021-03-19 Yimeng Min

Theoretical analysis of the error landscape of deep neural networks has garnered significant interest in recent years. In this work, we theoretically study the importance of noise in the trajectories of gradient descent towards optimal…

Machine Learning · Computer Science 2018-07-24 Adepu Ravi Sankar , Vishwak Srinivasan , Vineeth N Balasubramanian

Despite considerable theoretical progress in the training of neural networks viewed as a multi-agent system of neurons, particularly concerning biological plausibility and decentralized training, their applicability to real-world problems…

Neural and Evolutionary Computing · Computer Science 2023-10-17 Arshia Soltani Moakhar , Mohammad Azizmalayeri , Hossein Mirzaei , Mohammad Taghi Manzuri , Mohammad Hossein Rohban

For most deep learning algorithms training is notoriously time consuming. Since most of the computation in training neural networks is typically spent on floating point multiplications, we investigate an approach to training that eliminates…

Machine Learning · Computer Science 2016-02-29 Zhouhan Lin , Matthieu Courbariaux , Roland Memisevic , Yoshua Bengio

Spiking Neural Networks (SNNs) have recently emerged as a prominent neural computing paradigm. However, the typical shallow SNN architectures have limited capacity for expressing complex representations while training deep SNNs using input…

Neural and Evolutionary Computing · Computer Science 2020-03-26 Chankyu Lee , Syed Shakib Sarwar , Priyadarshini Panda , Gopalakrishnan Srinivasan , Kaushik Roy

Interpretation of Deep Neural Networks (DNNs) training as an optimal control problem with nonlinear dynamical systems has received considerable attention recently, yet the algorithmic development remains relatively limited. In this work, we…

Machine Learning · Computer Science 2021-06-14 Guan-Horng Liu , Tianrong Chen , Evangelos A. Theodorou

We propose a throughput-optimal biased backpressure (BP) algorithm for routing, where the bias is learned through a graph neural network that seeks to minimize end-to-end delay. Classical BP routing provides a simple yet powerful…

Signal Processing · Electrical Eng. & Systems 2022-11-22 Zhongyuan Zhao , Bojan Radojicic , Gunjan Verma , Ananthram Swami , Santiago Segarra

Training the deep convolutional neural network for computer vision problems is slow and inefficient, especially when it is large and distributed across multiple devices. The inefficiency is caused by the backpropagation algorithm's forward…

Machine Learning · Computer Science 2022-01-20 An Xu , Zhouyuan Huo , Heng Huang

The beneficial role of noise-injection in learning is a consolidated concept in the field of artificial neural networks, suggesting that even biological systems might take advantage of similar mechanisms to optimize their performance. The…

Disordered Systems and Neural Networks · Physics 2024-06-04 Marco Benedetti , Enrico Ventura

Deep learning has revolutionized the computer vision and image classification domains. In this context Convolutional Neural Networks (CNNs) based architectures are the most widely applied models. In this article, we introduced two…

Computer Vision and Pattern Recognition · Computer Science 2023-05-24 Seyedsaman Emami , Gonzalo Martínez-Muñoz

Deep neural networks possess strong representational capacity yet remain vulnerable to overfitting, primarily because neurons tend to co-adapt in ways that, while capturing complex and fine-grained feature interactions, also reinforce…

Machine Learning · Computer Science 2025-12-16 Gelesh G Omathil , Sreeja CS

While deep neural networks have been achieving state-of-the-art performance across a wide variety of applications, their vulnerability to adversarial attacks limits their widespread deployment for safety-critical applications. Alongside…

Computer Vision and Pattern Recognition · Computer Science 2020-03-04 Ahmadreza Jeddi , Mohammad Javad Shafiee , Michelle Karg , Christian Scharfenberger , Alexander Wong
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