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Backward propagation of errors (backpropagation) is a method to minimize objective functions (e.g., loss functions) of deep neural networks by identifying optimal sets of weights and biases. Imposing constraints on weight precision is often…

机器学习 · 计算机科学 2021-10-26 Guhyun Kim , Doo Seok Jeong

Expectation propagation (EP) is a family of algorithms for performing approximate inference in probabilistic models. The updates of EP involve the evaluation of moments -- expectations of certain functions -- which can be estimated from…

机器学习 · 统计学 2024-10-30 Jonathan So , Richard E. Turner

We introduce a new numerical method based on machine learning to approximate the solution of elliptic partial differential equations with collocation using a set of sigmoidal functions. We show that a feedforward neural network with a…

数值分析 · 数学 2023-03-24 Francesco Calabrò , Gianluca Fabiani , Constantinos Siettos

We propose a novel approach for nonlinear regression using a two-layer neural network (NN) model structure with sparsity-favoring hierarchical priors on the network weights. We present an expectation propagation (EP) approach for…

机器学习 · 统计学 2015-01-23 Pasi Jylänki , Aapo Nummenmaa , Aki Vehtari

Recent advances in deep neural networks (DNNs) owe their success to training algorithms that use backpropagation and gradient-descent. Backpropagation, while highly effective on von Neumann architectures, becomes inefficient when scaling to…

神经与进化计算 · 计算机科学 2019-05-10 Brian Crafton , Abhinav Parihar , Evan Gebhardt , Arijit Raychowdhury

Spiking neural networks (SNN) are delivering energy-efficient, massively parallel, and low-latency solutions to AI problems, facilitated by the emerging neuromorphic chips. To harness these computational benefits, SNN need to be trained by…

神经与进化计算 · 计算机科学 2021-10-28 Guangzhi Tang , Neelesh Kumar , Ioannis Polykretis , Konstantinos P. Michmizos

Backpropagation (BP) is widely used for calculating gradients in deep neural networks (DNNs). Applied often along with stochastic gradient descent (SGD) or its variants, BP is considered as a de-facto choice in a variety of machine learning…

机器学习 · 计算机科学 2024-01-11 Ziang Li , Yiwen Guo , Haodi Liu , Changshui Zhang

We introduce Error Broadcast and Decorrelation (EBD), a novel learning framework for neural networks that addresses credit assignment by directly broadcasting output errors to individual layers, circumventing weight transport of…

机器学习 · 计算机科学 2025-10-21 Mete Erdogan , Cengiz Pehlevan , Alper T. Erdogan

Efficient feature selection from high-dimensional datasets is a very important challenge in many data-driven fields of science and engineering. We introduce a statistical mechanics inspired strategy that addresses the problem of sparse…

机器学习 · 统计学 2021-04-07 Alfredo Braunstein , Thomas Gueudré , Andrea Pagnani , Mirko Pieropan

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…

机器学习 · 计算机科学 2026-01-15 Maher Hanut , Jonathan Kadmon

Developing strong AI signifies the arrival of technological singularity, contributing greatly to advancing human civilization and resolving social issues. Neural networks (NNs) and deep learning, which utilize NNs, are expected to lead to…

机器学习 · 计算机科学 2024-09-09 Kei Itoh

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…

机器学习 · 计算机科学 2021-06-18 Alejandro Cabana , Luis F. Lago-Fernández

Backpropagation (BP) uses detailed, unit-specific feedback to train deep neural networks (DNNs) with remarkable success. That biological neural circuits appear to perform credit assignment, but cannot implement BP, implies the existence of…

神经元与认知 · 定量生物学 2021-11-01 David G. Clark , L. F. Abbott , SueYeon Chung

Relieving the reliance of neural network training on a global back-propagation (BP) has emerged as a notable research topic due to the biological implausibility and huge memory consumption caused by BP. Among the existing solutions, local…

机器学习 · 计算机科学 2024-06-11 Yibo Yang , Xiaojie Li , Motasem Alfarra , Hasan Hammoud , Adel Bibi , Philip Torr , Bernard Ghanem

Error backpropagation is a highly effective mechanism for learning high-quality hierarchical features in deep networks. Updating the features or weights in one layer, however, requires waiting for the propagation of error signals from…

神经与进化计算 · 计算机科学 2017-11-21 Hesham Mostafa , Vishwajith Ramesh , Gert Cauwenberghs

Bayesian meta-learning enables robust and fast adaptation to new tasks with uncertainty assessment. The key idea behind Bayesian meta-learning is empirical Bayes inference of hierarchical model. In this work, we extend this framework to…

机器学习 · 计算机科学 2020-11-19 Yayi Zou , Xiaoqi Lu

Backpropagation (BP) of errors is the backbone training algorithm for artificial neural networks (ANNs). It updates network weights through gradient descent to minimize a loss function representing the mismatch between predictions and…

机器学习 · 统计学 2025-08-13 Davide Casnici , Charlotte Frenkel , Justin Dauwels

Recently, minimax optimization received renewed focus due to modern applications in machine learning, robust optimization, and reinforcement learning. The scale of these applications naturally leads to the use of first-order methods.…

最优化与控制 · 数学 2023-03-07 Saeed Hajizadeh , Haihao Lu , Benjamin Grimmer

Deep neural network training involves both forward propagation (from features through logits to loss) and backward propagation (from loss through gradients to parameter updates). While perturbations along the forward chain, including…

机器学习 · 计算机科学 2026-05-29 Hua Li

Computing gradients of a cost function is central to design-based optimization and machine learning algorithms. Equilibrium propagation provides an exact method to compute gradients in hardware by exploiting the inherent physical laws. The…

无序系统与神经网络 · 物理学 2025-08-11 Marc Berneman , Daniel Hexner