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In this paper we study a constraint-based representation of neural network architectures. We cast the learning problem in the Lagrangian framework and we investigate a simple optimization procedure that is well suited to fulfil the…

Machine Learning · Computer Science 2020-04-20 Giuseppe Marra , Matteo Tiezzi , Stefano Melacci , Alessandro Betti , Marco Maggini , Marco Gori

It is widely recognized that the deeper networks or networks with more feature maps have better performance. Existing studies mainly focus on extending the network depth and increasing the feature maps of networks. At the same time,…

Computer Vision and Pattern Recognition · Computer Science 2018-11-27 Shenlong Lou , Yan Luo , Qiancong Fan , Feng Chen , Yiping Chen , Cheng Wang , Jonathan Li

Equilibrium Propagation (EP) is a biologically inspired learning algorithm for convergent recurrent neural networks, i.e. RNNs that are fed by a static input x and settle to a steady state. Training convergent RNNs consists in adjusting the…

Machine Learning · Computer Science 2019-06-03 Maxence Ernoult , Julie Grollier , Damien Querlioz , Yoshua Bengio , Benjamin Scellier

Fine-tuning pretrained large models to downstream tasks is an important problem, which however suffers from huge memory overhead due to large-scale parameters. This work strives to reduce memory overhead in fine-tuning from perspectives of…

Machine Learning · Computer Science 2024-06-25 Yuchen Yang , Yingdong Shi , Cheems Wang , Xiantong Zhen , Yuxuan Shi , Jun Xu

Recomputation algorithms collectively refer to a family of methods that aims to reduce the memory consumption of the backpropagation by selectively discarding the intermediate results of the forward propagation and recomputing the discarded…

Machine Learning · Computer Science 2019-05-29 Mitsuru Kusumoto , Takuya Inoue , Gentaro Watanabe , Takuya Akiba , Masanori Koyama

Efficient learning and model compression algorithm for deep neural network (DNN) is a key workhorse behind the rise of deep learning (DL). In this work, we propose a message passing based Bayesian deep learning algorithm called EM-TDAMP to…

Machine Learning · Computer Science 2024-06-11 Wei Xu , An Liu , Yiting Zhang , Vincent Lau

Digital backpropagation (DBP) is one of the most effective techniques for compensating nonlinear distortions in coherent optical fiber communication systems. However, its practical application to wideband transmission remains limited by…

Current algorithms for deep learning probably cannot run in the brain because they rely on weight transport, where forward-path neurons transmit their synaptic weights to a feedback path, in a way that is likely impossible biologically. An…

Machine Learning · Computer Science 2020-01-13 Mohamed Akrout , Collin Wilson , Peter C. Humphreys , Timothy Lillicrap , Douglas Tweed

Graph Neural Networks (GNNs) have achieved significant success in learning better representations by performing feature propagation and transformation iteratively to leverage neighborhood information. Nevertheless, iterative propagation…

Machine Learning · Computer Science 2021-08-26 Yu Wang , Tyler Derr

In previous studies, we introduced a neural network framework based on symmetric differential equations, along with one of its training methods. In this article, we present another training approach for this neural network. This method…

Neural and Evolutionary Computing · Computer Science 2025-02-18 Kun Jiang

There has been a significant recent surge in deep neural network (DNN) techniques. Most of the existing DNN techniques have restricted model formats/assumptions. To overcome their limitations, we propose the nonparametric transformation…

Methodology · Statistics 2024-10-28 Tong Wang , Shunqin Zhang , Sanguo Zhang , Jian Huang , Shuangge Ma

Deep reinforcement learning approaches have shown impressive results in a variety of different domains, however, more complex heterogeneous architectures such as world models require the different neural components to be trained separately…

Neural and Evolutionary Computing · Computer Science 2021-02-24 Sebastian Risi , Kenneth O. Stanley

In this paper, we propose a learning rule based on a back-propagation (BP) algorithm that can be applied to a hardware-based deep neural network (HW-DNN) using electronic devices that exhibit discrete and limited conductance…

Neural and Evolutionary Computing · Computer Science 2018-08-02 Suhwan Lim , Jong-Ho Bae , Jai-Ho Eum , Sungtae Lee , Chul-Heung Kim , Dongseok Kwon , Byung-Gook Park , Jong-Ho Lee

Brain-like intelligent systems need brain-like learning methods. Equilibrium Propagation (EP) is a biologically plausible learning framework with strong potential for brain-inspired computing hardware. However, existing im-plementations of…

Neural and Evolutionary Computing · Computer Science 2026-05-08 Zhuo Liu , Tao Chen

Deep neural networks are among the most widely applied machine learning tools showing outstanding performance in a broad range of tasks. We present a method for folding a deep neural network of arbitrary size into a single neuron with…

Machine Learning · Computer Science 2021-09-15 Florian Stelzer , André Röhm , Raul Vicente , Ingo Fischer , Serhiy Yanchuk

The canonical deep learning approach for learning requires computing a gradient term at each block by back-propagating the error signal from the output towards each learnable parameter. Given the stacked structure of neural networks, where…

Machine Learning · Computer Science 2025-08-19 Qinyu Li , Yee Whye Teh , Razvan Pascanu

Equilibrium propagation (EP) is an alternative to backpropagation (BP) that allows the training of deep neural networks with local learning rules. It thus provides a compelling framework for training neuromorphic systems and understanding…

Machine Learning · Computer Science 2022-09-02 Axel Laborieux , Friedemann Zenke

The brain can learn to solve a wide range of tasks with high temporal and energetic efficiency. However, most biological models are composed of simple single compartment neurons and cannot achieve the state-of-art performances of artificial…

Neurons and Cognition · Quantitative Biology 2026-04-13 Cristiano Capone , Cosimo Lupo , Paolo Muratore , Pier Stanislao Paolucci

Large language models (LLMs) trained on next-token prediction (NTP) paradigm have demonstrated powerful capabilities. However, the existing NTP paradigm contains several limitations, particularly related to planned task complications and…

Computation and Language · Computer Science 2024-09-02 Junhao Ruan , Abudukeyumu Abudula , Xinyu Liu , Bei Li , Yinqiao Li , Chenglong Wang , Yuchun Fan , Yuan Ge , Tong Xiao , Jingbo Zhu

While backpropagation (BP) has been applied to spiking neural networks (SNNs) achieving encouraging results, a key challenge involved is to backpropagate a continuous-valued loss over layers of spiking neurons exhibiting discontinuous…

Neural and Evolutionary Computing · Computer Science 2021-07-15 Yukun Yang , Wenrui Zhang , Peng Li