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Bilevel optimization has been recently revisited for designing and analyzing algorithms in hyperparameter tuning and meta learning tasks. However, due to its nested structure, evaluating exact gradients for high-dimensional problems is…

机器学习 · 计算机科学 2019-04-09 Amirreza Shaban , Ching-An Cheng , Nathan Hatch , Byron Boots

Artificial neural networks, one of the most successful approaches to supervised learning, were originally inspired by their biological counterparts. However, the most successful learning algorithm for artificial neural networks,…

机器学习 · 计算机科学 2020-06-18 Matilde Tristany Farinha , Sérgio Pequito , Pedro A. Santos , Mário A. T. Figueiredo

Oscillator networks represent a promising technology for unconventional computing and artificial intelligence. Thus far, these systems have primarily been demonstrated in small-scale implementations, such as Ising Machines for solving…

无序系统与神经网络 · 物理学 2025-04-17 Théophile Rageau , Julie Grollier

Of all the vector fields surrounding the minima of recurrent learning setups, the gradient field with its exploding and vanishing updates appears a poor choice for optimization, offering little beyond efficient computability. We seek to…

机器学习 · 计算机科学 2024-05-06 Patrick Schnell , Nils Thuerey

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

Backpropagation (BP) has long been the predominant method for training neural networks due to its effectiveness. However, numerous alternative approaches, broadly categorized under feedback alignment, have been proposed, many of which are…

机器学习 · 计算机科学 2025-02-11 Aymene Berriche , Mehdi Zakaria Adjal , Riyadh Baghdadi

We propose a method for training dynamical systems governed by Lagrangian mechanics using Equilibrium Propagation. Our approach extends Equilibrium Propagation - initially developed for energy-based models - to dynamical trajectories by…

混沌动力学 · 物理学 2025-07-21 Serge Massar

The rapid growth in complexity and size of modern deep neural networks (DNNs) has increased challenges related to computational costs and memory usage, spurring a growing interest in efficient model compression techniques. Previous…

计算机视觉与模式识别 · 计算机科学 2025-07-04 Sarthak Ketanbhai Modi , Zi Pong Lim , Shourya Kuchhal , Yushi Cao , Yupeng Cheng , Yon Shin Teo , Shang-Wei Lin , Zhiming Li

Neural networks increasingly embed non-differentiable components (spiking neurons, quantized layers, discrete routing, blackbox simulators, etc.) where backpropagation is inapplicable and surrogate gradients introduce bias. We present…

机器学习 · 计算机科学 2026-05-05 An T. Le

Interest in biologically inspired alternatives to backpropagation is driven by the desire to both advance connections between deep learning and neuroscience and address backpropagation's shortcomings on tasks such as online, continual…

神经与进化计算 · 计算机科学 2020-06-18 Jack Lindsey , Ashok Litwin-Kumar

Feedback alignment algorithms are an alternative to backpropagation to train neural networks, whereby some of the partial derivatives that are required to compute the gradient are replaced by random terms. This essentially transforms the…

机器学习 · 计算机科学 2023-06-06 Dominique Chu , Florian Bacho

We study asymptotic properties of expectation propagation (EP) -- a method for approximate inference originally developed in the field of machine learning. Applied to generalized linear models, EP iteratively computes a multivariate…

信息论 · 计算机科学 2018-05-11 Burak Çakmak , Manfred Opper

Recurrent networks are typically trained with backpropagation through time (BPTT). However, BPTT requires storing the history of all states in the network and then replaying them sequentially backwards in time. This computation appears…

机器学习 · 计算机科学 2026-01-01 Beren Millidge

This paper develops expansive gradient dynamics in deep neural network-induced mapping spaces. Specifically, we generate tools and concepts for minimizing a class of energy functionals in an abstract Hilbert space setting covering a wide…

最优化与控制 · 数学 2025-07-21 Wolfgang Dahmen , Wuchen Li , Yuankai Teng , Zhu Wang

Back-propagation is a popular machine learning algorithm that uses gradient descent in training neural networks for supervised learning, but can be very slow. A number of algorithms have been developed to speed up convergence and improve…

神经与进化计算 · 计算机科学 2020-09-29 Ho Ling Li

Deep learning has redefined the field of artificial intelligence (AI) thanks to the rise of artificial neural networks, which are architectures inspired by their neurological counterpart in the brain. Through the years, this dualism between…

机器学习 · 计算机科学 2023-02-21 Tommaso Salvatori , Yuhang Song , Thomas Lukasiewicz , Rafal Bogacz , Zhenghua Xu

Due to the high communication overhead when training machine learning models in a distributed environment, modern algorithms invariably rely on lossy communication compression. However, when untreated, the errors caused by compression…

机器学习 · 计算机科学 2023-10-31 Ilyas Fatkhullin , Alexander Tyurin , Peter Richtárik

The backpropagation algorithm has experienced remarkable success in training large-scale artificial neural networks; however, its biological plausibility has been strongly criticized, and it remains an open question whether the brain…

神经与进化计算 · 计算机科学 2026-03-27 Bariscan Bozkurt , Cengiz Pehlevan , Alper T Erdogan

How physical networks of neurons, bound by spatio-temporal locality constraints, can perform efficient credit assignment, remains, to a large extent, an open question. In machine learning, the answer is almost universally given by the error…

Equivariances provide useful inductive biases in neural network modeling, with the translation equivariance of convolutional neural networks being a canonical example. Equivariances can be embedded in architectures through weight-sharing…

机器学习 · 计算机科学 2022-11-15 Tycho F. A. van der Ouderaa , David W. Romero , Mark van der Wilk