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Equilibrium propagation (EP) is a training framework for energy-based systems, i.e. systems whose physics minimizes an energy function. EP has been explored in various classical physical systems such as resistor networks, elastic networks,…

Quantum Physics · Physics 2024-06-04 Benjamin Scellier

Finding spike-based learning algorithms that can be implemented within the local constraints of neuromorphic systems, while achieving high accuracy, remains a formidable challenge. Equilibrium Propagation is a promising alternative to…

Neural and Evolutionary Computing · Computer Science 2021-02-18 Erwann Martin , Maxence Ernoult , Jérémie Laydevant , Shuai Li , Damien Querlioz , Teodora Petrisor , Julie Grollier

Recurrent neural networks (RNNs) trained using Equilibrium Propagation (EP), a biologically plausible training algorithm, have demonstrated strong performance in various tasks such as image classification and reinforcement learning.…

Machine Learning · Computer Science 2025-08-21 Yoshimasa Kubo , Jean Erik Delanois , Maxim Bazhenov

We introduce a method to train Binarized Neural Networks (BNNs) - neural networks with binary weights and activations at run-time. At training-time the binary weights and activations are used for computing the parameters gradients. During…

Machine Learning · Computer Science 2016-03-18 Matthieu Courbariaux , Itay Hubara , Daniel Soudry , Ran El-Yaniv , Yoshua Bengio

Compared to Multilayer Neural Networks with real weights, Binary Multilayer Neural Networks (BMNNs) can be implemented more efficiently on dedicated hardware. BMNNs have been demonstrated to be effective on binary classification tasks with…

Neural and Evolutionary Computing · Computer Science 2015-03-24 Zhiyong Cheng , Daniel Soudry , Zexi Mao , Zhenzhong Lan

In this paper, we propose to train a network with binary weights and low-bitwidth activations, designed especially for mobile devices with limited power consumption. Most previous works on quantizing CNNs uncritically assume the same…

Computer Vision and Pattern Recognition · Computer Science 2018-08-09 Bohan Zhuang , Chunhua Shen , Ian Reid

Since humans still outperform artificial neural networks on many tasks, drawing inspiration from the brain may help to improve current machine learning algorithms. Contrastive Hebbian Learning (CHL) and Equilibrium Propagation (EP) are…

Neural and Evolutionary Computing · Computer Science 2022-05-02 Yoshimasa Kubo , Eric Chalmers , Artur Luczak

We show that Oscillator Ising Machines (OIMs) are prime candidates for use as neuromorphic machine learning processors with Equilibrium Propagation (EP) based on-chip learning. The inherent energy gradient descent dynamics of OIMs, combined…

Disordered Systems and Neural Networks · Physics 2025-08-19 Alex Gower

Binary Neural Networks (BNNs) are an extremely promising method to reduce deep neural networks' complexity and power consumption massively. Binarization techniques, however, suffer from ineligible performance degradation compared to their…

Machine Learning · Computer Science 2022-04-06 Tal Rozen , Moshe Kimhi , Brian Chmiel , Avi Mendelson , Chaim Baskin

The back-propagation (BP) algorithm has been considered the de-facto method for training deep neural networks. It back-propagates errors from the output layer to the hidden layers in an exact manner using the transpose of the feedforward…

Neural and Evolutionary Computing · Computer Science 2018-05-01 Hongyin Luo , Jie Fu , James Glass

Memristor-based in-memory computing has emerged as a promising paradigm to overcome the constraints of the von Neumann bottleneck and the memory wall by enabling fully parallelisable and energy-efficient vector-matrix multiplications. We…

Machine Learning · Computer Science 2026-02-18 Michael Döll , Andreas Müller , Bernd Ulmann

Training neural networks for neuromorphic deployment is non-trivial. There have been a variety of approaches proposed to adapt back-propagation or back-propagation-like algorithms appropriate for training. Considering that these networks…

Recent research has shown that one can train a neural network with binary weights and activations at train time by augmenting the weights with a high-precision continuous latent variable that accumulates small changes from stochastic…

Machine Learning · Computer Science 2017-05-23 Alexander G. Anderson , Cory P. Berg

Deep neural networks (DNNs) are easily fooled by adversarial perturbations that are imperceptible to humans. Adversarial training, a process where adversarial examples are added to the training set, is the current state-of-the-art defense…

Machine Learning · Computer Science 2024-01-23 Siddharth Mansingh , Michal Kucer , Garrett Kenyon , Juston Moore , Michael Teti

We propose a new algorithm for training deep neural networks (DNNs) with binary weights. In particular, we first cast the problem of training binary neural networks (BiNNs) as a bilevel optimization instance and subsequently construct…

Machine Learning · Computer Science 2021-12-07 Huu Le , Rasmus Kjær Høier , Che-Tsung Lin , Christopher Zach

Network quantization has rapidly become one of the most widely used methods to compress and accelerate deep neural networks. Recent efforts propose to quantize weights and activations from different layers with different precision to…

Machine Learning · Computer Science 2020-03-18 Yuhang Li , Wei Wang , Haoli Bai , Ruihao Gong , Xin Dong , Fengwei Yu

Compared to classical deep neural networks its binarized versions can be useful for applications on resource-limited devices due to their reduction in memory consumption and computational demands. In this work we study deep neural networks…

Optimization and Control · Mathematics 2021-10-26 Jannis Kurtz , Bubacarr Bah

Significant success has been reported recently using deep neural networks for classification. Such large networks can be computationally intensive, even after training is over. Implementing these trained networks in hardware chips with a…

Machine Learning · Statistics 2013-10-25 Daniel Soudry , Ron Meir

We introduce a method to train Binarized Neural Networks (BNNs) - neural networks with binary weights and activations at run-time and when computing the parameters' gradient at train-time. We conduct two sets of experiments, each based on a…

Machine Learning · Computer Science 2016-03-11 Itay Hubara , Daniel Soudry , Ran El Yaniv

Neural networks with binary weights are computation-efficient and hardware-friendly, but their training is challenging because it involves a discrete optimization problem. Surprisingly, ignoring the discrete nature of the problem and using…

Machine Learning · Computer Science 2020-08-19 Xiangming Meng , Roman Bachmann , Mohammad Emtiyaz Khan