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Supervised learning in artificial neural networks typically relies on backpropagation, where the weights are updated based on the error-function gradients and sequentially propagated from the output layer to the input layer. Although this…

Neural and Evolutionary Computing · Computer Science 2023-06-06 Giorgia Dellaferrera , Gabriel Kreiman

We introduce a new, efficient, principled and backpropagation-compatible algorithm for learning a probability distribution on the weights of a neural network, called Bayes by Backprop. It regularises the weights by minimising a compression…

Machine Learning · Statistics 2015-05-22 Charles Blundell , Julien Cornebise , Koray Kavukcuoglu , Daan Wierstra

We introduce a new technique for gradient normalization during neural network training. The gradients are rescaled during the backward pass using normalization layers introduced at certain points within the network architecture. These…

Machine Learning · Computer Science 2021-06-18 Alejandro Cabana , Luis F. Lago-Fernández

Forward gradient learning computes a noisy directional gradient and is a biologically plausible alternative to backprop for learning deep neural networks. However, the standard forward gradient algorithm, when applied naively, suffers from…

Machine Learning · Computer Science 2023-03-03 Mengye Ren , Simon Kornblith , Renjie Liao , Geoffrey Hinton

This paper introduces Selective-Backprop, a technique that accelerates the training of deep neural networks (DNNs) by prioritizing examples with high loss at each iteration. Selective-Backprop uses the output of a training example's forward…

Current artificial neural networks are trained with parameters encoded as floating point numbers that occupy lots of memory space at inference time. Due to the increase in the size of deep learning models, it is becoming very difficult to…

Machine Learning · Computer Science 2024-08-09 Ben Crulis , Barthelemy Serres , Cyril de Runz , Gilles Venturini

Function regression/approximation is a fundamental application of machine learning. Neural networks (NNs) can be easily trained for function regression using a sufficient number of neurons and epochs. The forward-forward learning algorithm…

Machine Learning · Computer Science 2025-10-16 Shivam Padmani , Akshay Joshi

Interpreting how does deep neural networks (DNNs) make predictions is a vital field in artificial intelligence, which hinders wide applications of DNNs. Visualization of learned representations helps we humans understand the vision of DNNs.…

Computer Vision and Pattern Recognition · Computer Science 2021-06-21 Chen Li , Jinzhe Jiang , Xin Zhang , Tonghuan Zhang , Yaqian Zhao , Dongdong Jiang , RenGang Li

Error backpropagation is an extremely effective algorithm for assigning credit in artificial neural networks. However, weight updates under Backprop depend on lengthy recursive computations and require separate output and error messages --…

Machine Learning · Computer Science 2014-11-25 David Balduzzi , Hastagiri Vanchinathan , Joachim Buhmann

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

We introduce a new programming language and its categorical semantics in order to design and implement neural networks within the framework of algebraic effects and handlers for arrows. Our language enables us to construct neural networks…

Programming Languages · Computer Science 2026-02-23 Takahiro Sanada , Keisuke Hoshino , Kenshin Hirai , Shin-ya Katsumata

Gradient descent has been a central training principle for artificial neural networks from the early beginnings to today's deep learning networks. The most common implementation is the backpropagation algorithm for training feed-forward…

Machine Learning · Computer Science 2020-06-09 Stefan Jaeger

Spiking neural networks have shown great promise for the design of low-power sensory-processing and edge-computing hardware platforms. However, implementing on-chip learning algorithms on such architectures is still an open challenge,…

Neural and Evolutionary Computing · Computer Science 2021-04-13 Matteo Cartiglia , Germain Haessig , Giacomo Indiveri

Given a differentiable network architecture and loss function, we revisit optimizing the network's neurons in function space using Boosted Backpropagation (Grubb & Bagnell, 2010), in contrast to optimizing in parameter space. From this…

Machine Learning · Computer Science 2025-02-04 Daniel Munoz

Backpropagation through nonlinear neurons is an outstanding challenge to the field of optical neural networks and the major conceptual barrier to all-optical training schemes. Each neuron is required to exhibit a directionally dependent…

Emerging Technologies · Computer Science 2021-03-22 Xianxin Guo , Thomas D. Barrett , Zhiming M. Wang , A. I. Lvovsky

The goal of this document is to provide a pedagogical introduction to the main concepts underpinning the training of deep neural networks using gradient descent; a process known as backpropagation. Although we focus on a very influential…

Machine Learning · Computer Science 2018-11-30 Laurent Boué

While deep neural networks are a highly successful model class, their large memory footprint puts considerable strain on energy consumption, communication bandwidth, and storage requirements. Consequently, model size reduction has become an…

Machine Learning · Statistics 2018-10-02 Marton Havasi , Robert Peharz , José Miguel Hernández-Lobato

Many concepts have been proposed for meta learning with neural networks (NNs), e.g., NNs that learn to reprogram fast weights, Hebbian plasticity, learned learning rules, and meta recurrent NNs. Our Variable Shared Meta Learning (VSML)…

Machine Learning · Computer Science 2022-03-15 Louis Kirsch , Jürgen Schmidhuber

The Forward-Forward algorithm is an alternative learning method which consists of two forward passes rather than a forward and backward pass employed by backpropagation. Forward-Forward networks employ layer local loss functions which are…

Machine Learning · Computer Science 2025-04-16 Reece Adamson

Deep learning has seen tremendous success over the past decade in computer vision, machine translation, and gameplay. This success rests in crucial ways on gradient-descent optimization and the ability to learn parameters of a neural…

Machine Learning · Computer Science 2019-08-30 Fei Wang , Daniel Zheng , James Decker , Xilun Wu , Grégory M. Essertel , Tiark Rompf