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The Rectified Linear Unit is currently a state-of-the-art activation function in deep convolutional neural networks. To combat ReLU's dying neuron problem, we propose the Parametric Variational Linear Unit (PVLU), which adds a sinusoidal…

计算机视觉与模式识别 · 计算机科学 2021-12-20 Aarush Gupta , Shikhar Ahuja

Deploying deep neural networks (DNNs) in real-world environments poses challenges due to faults that can manifest in physical hardware from radiation, aging, and temperature fluctuations. To address this, previous works have focused on…

机器学习 · 计算机科学 2024-12-02 Ninnart Fuengfusin , Hakaru Tamukoh

Although convolutional neural networks (CNNs) are now widely used in various computer vision applications, its huge resource demanding on parameter storage and computation makes the deployment on mobile and embedded devices difficult.…

计算机视觉与模式识别 · 计算机科学 2019-09-26 Zhe Xu , Ray C. C. Cheung

It has been shown that a neural network's Lipschitz constant can be leveraged to derive robustness guarantees, to improve generalizability via regularization or even to construct invertible networks. Therefore, a number of methods varying…

机器学习 · 计算机科学 2026-02-18 Tom A. Splittgerber

In continual learning, networks confront a trade-off between stability and plasticity when trained on a sequence of tasks. To bolster plasticity without sacrificing stability, we propose a novel training algorithm called LRFR. This approach…

机器学习 · 计算机科学 2023-12-15 Zhenrong Liu , Yang Li , Yi Gong , Yik-Chung Wu

We draw connections between simple neural networks and under-determined linear systems to comprehensively explore several interesting theoretical questions in the study of neural networks. First, we emphatically show that it is unsurprising…

数值分析 · 数学 2020-11-02 Austin R. Benson , Anil Damle , Alex Townsend

This paper presents a set of full-resolution lossy image compression methods based on neural networks. Each of the architectures we describe can provide variable compression rates during deployment without requiring retraining of the…

计算机视觉与模式识别 · 计算机科学 2017-07-10 George Toderici , Damien Vincent , Nick Johnston , Sung Jin Hwang , David Minnen , Joel Shor , Michele Covell

We propose ReDense as a simple and low complexity way to improve the performance of trained neural networks. We use a combination of random weights and rectified linear unit (ReLU) activation function to add a ReLU dense (ReDense) layer to…

机器学习 · 计算机科学 2020-10-27 Alireza M. Javid , Sandipan Das , Mikael Skoglund , Saikat Chatterjee

Recent years have witnessed a resurgence in using ReLU neural networks (NNs) to represent model predictive control (MPC) policies. However, determining the required network complexity to ensure closed-loop performance remains a fundamental…

系统与控制 · 电气工程与系统科学 2026-01-26 Xingchen Li , Keyou You

Loss of plasticity in deep neural networks is the gradual reduction in a model's capacity to incrementally learn and has been identified as a key obstacle to learning in non-stationary problem settings. Recent work has shown that deep…

机器学习 · 计算机科学 2025-05-15 Seyed Roozbeh Razavi Rohani , Khashayar Khajavi , Wesley Chung , Mo Chen , Sharan Vaswani

As modern deep learning architectures grow in complexity, representational ambiguity emerges as a critical barrier to their interpretability and reliable merging. For ReLU networks, identical functional mappings can be achieved through…

机器学习 · 计算机科学 2026-04-21 Kutomanov Hennadii

We present a simple proof for the benefit of depth in multi-layer feedforward network with rectified activation ("depth separation"). Specifically we present a sequence of classification problems indexed by $m$ such that (a) for any fixed…

机器学习 · 计算机科学 2021-01-19 Asaf Amrami , Yoav Goldberg

Stable and efficient training of ReLU networks with large depth is highly sensitive to weight initialization. Improper initialization can cause permanent neuron inactivation dying ReLU and exacerbate gradient instability as network depth…

机器学习 · 计算机科学 2025-09-03 Hyungu Lee , Taehyeong Kim , Hayoung Choi

Neural networks with REctified Linear Unit (ReLU) activation functions (a.k.a. ReLU networks) have achieved great empirical success in various domains. Nonetheless, existing results for learning ReLU networks either pose assumptions on the…

机器学习 · 统计学 2019-05-01 Gang Wang , Georgios B. Giannakis , Jie Chen

We develop a corrective mechanism for neural network approximation: the total available non-linear units are divided into multiple groups and the first group approximates the function under consideration, the second group approximates the…

机器学习 · 计算机科学 2020-06-23 Guy Bresler , Dheeraj Nagaraj

We formalise the widespread idea of interpreting neural network decisions as an explicit optimisation problem in a rate-distortion framework. A set of input features is deemed relevant for a classification decision if the expected…

机器学习 · 计算机科学 2019-05-28 Jan Macdonald , Stephan Wäldchen , Sascha Hauch , Gitta Kutyniok

We tackle the problem of producing compact models, maximizing their accuracy for a given model size. A standard solution is to train networks with Quantization Aware Training, where the weights are quantized during training and the…

机器学习 · 计算机科学 2021-03-02 Angela Fan , Pierre Stock , Benjamin Graham , Edouard Grave , Remi Gribonval , Herve Jegou , Armand Joulin

It has been widely assumed that a neural network cannot be recovered from its outputs, as the network depends on its parameters in a highly nonlinear way. Here, we prove that in fact it is often possible to identify the architecture,…

机器学习 · 计算机科学 2020-02-25 David Rolnick , Konrad P. Kording

Iterative differential approximation methods that rely upon backpropagation have enabled the optimization of neural networks; however, at present, they remain computationally expensive, especially when training models at scale. In this…

机器学习 · 计算机科学 2023-11-14 Jake Ryland Williams , Haoran Zhao

We study the approximation of the median of $d$ inputs using ReLU neural networks. We present depth-width tradeoffs under several settings, culminating in a constant-depth, linear-width construction that achieves exponentially small…

机器学习 · 计算机科学 2026-02-10 Abhigyan Dutta , Itay Safran , Paul Valiant
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