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We propose layer saturation - a simple, online-computable method for analyzing the information processing in neural networks. First, we show that a layer's output can be restricted to the eigenspace of its variance matrix without…

机器学习 · 计算机科学 2021-11-23 Mats L. Richter , Justin Shenk , Wolf Byttner , Anders Arpteg , Mikael Huss

Some novel strategies have recently been proposed for single hidden layer neural network training that set randomly the weights from input to hidden layer, while weights from hidden to output layer are analytically determined by…

机器学习 · 计算机科学 2015-08-26 R. Cancelliere , R. Deluca , M. Gai , P. Gallinari , L. Rubini

Machine learning models can be used to predict physical quantities like homogenized elasticity stiffness tensors, which must always be symmetric positive definite (SPD) based on conservation arguments. Two datasets of homogenized elasticity…

机器学习 · 计算机科学 2022-03-29 Charles F. Jekel , Kenneth E. Swartz , Daniel A. White , Daniel A. Tortorelli , Seth E. Watts

In this paper, feedforward neural networks are presented that have nonlinear weight functions based on look--up tables, that are specially smoothed in a regularization called the diffusion. The idea of such a type of networks is based on…

神经与进化计算 · 计算机科学 2007-05-23 Artur Rataj

After training complex deep learning models, a common task is to compress the model to reduce compute and storage demands. When compressing, it is desirable to preserve the original model's per-example decisions (e.g., to go beyond top-1…

机器学习 · 计算机科学 2022-10-18 Jerry Chee , Megan Renz , Anil Damle , Christopher De Sa

Neural networks are susceptible to artificially designed adversarial perturbations. Recent efforts have shown that imposing certain modifications on classification layer can improve the robustness of the neural networks. In this paper, we…

计算机视觉与模式识别 · 计算机科学 2021-09-27 Cong Xu , Xiang Li , Min Yang

This work develops the global equations of neural networks through stacked piecewise manifolds, fixed-point theory, and boundary-conditioned iteration. Once fixed coordinates and operators are removed, a neural network appears as a…

机器学习 · 计算机科学 2025-12-09 Max Y. Ma , Gen-Hua Shi

In machine learning, the use of an artificial neural network is the mainstream approach. Such a network consists of layers of neurons. These neurons are of the same type characterized by the two features: (1) an inner product of an input…

神经与进化计算 · 计算机科学 2017-04-28 Fenglei Fan , Wenxiang Cong , Ge Wang

Classifiers learnt from data are increasingly being used as components in systems where safety is a critical concern. In this work, we present a formal notion of safety for classifiers via constraints called safe-ordering constraints. These…

机器学习 · 计算机科学 2022-06-13 Klas Leino , Aymeric Fromherz , Ravi Mangal , Matt Fredrikson , Bryan Parno , Corina Păsăreanu

Supervised training of neural networks for classification is typically performed with a global loss function. The loss function provides a gradient for the output layer, and this gradient is back-propagated to hidden layers to dictate an…

机器学习 · 统计学 2019-05-09 Arild Nøkland , Lars Hiller Eidnes

Understanding the per-layer learning dynamics of deep neural networks is of significant interest as it may provide insights into how neural networks learn and the potential for better training regimens. We investigate learning in Deep…

机器学习 · 计算机科学 2020-12-02 Ayush Manish Agrawal , Atharva Tendle , Harshvardhan Sikka , Sahib Singh , Amr Kayid

Binary representation is desirable for its memory efficiency, computation speed and robustness. In this paper, we propose adjustable bounded rectifiers to learn binary representations for deep neural networks. While hard constraining…

机器学习 · 计算机科学 2015-11-20 Zhirong Wu , Dahua Lin , Xiaoou Tang

In hierarchical multi-label classification, a persistent challenge is enabling model predictions to reach deeper levels of the hierarchy for more detailed or fine-grained classifications. This difficulty partly arises from the natural…

机器学习 · 计算机科学 2026-02-10 Isaac Xu , Martin Gillis , Ayushi Sharma , Benjamin Misiuk , Craig J. Brown , Thomas Trappenberg

Federated learning aims to learn a global model collaboratively while the training data belongs to different clients and is not allowed to be exchanged. However, the statistical heterogeneity challenge on non-IID data, such as class…

机器学习 · 计算机科学 2023-04-12 Yunheng Shen , Haoxiang Wang , Hairong Lv

Federated learning is a promising framework to train neural networks with widely distributed data. However, performance degrades heavily with heterogeneously distributed data. Recent work has shown this is due to the final layer of the…

机器学习 · 计算机科学 2024-03-06 Ha Min Son , Moon-Hyun Kim , Tai-Myoung Chung , Chao Huang , Xin Liu

Rapid development in numerical modelling of materials and the complexity of new models increases quickly together with their computational demands. Despite the growing performance of modern computers and clusters, calibration of such models…

神经与进化计算 · 计算机科学 2016-03-08 Tomáš Mareš , Eliška Janouchová , Anna Kučerová

This article introduces a multiple classifier method to improve the performance of concatenate-designed neural networks, such as ResNet and DenseNet, with the purpose to alleviate the pressure on the final classifier. We give the design of…

神经与进化计算 · 计算机科学 2021-09-06 Ka-Hou Chan , Sio-Kei Im , Wei Ke

Artificial neural networks are functions depending on a finite number of parameters typically encoded as weights and biases. The identification of the parameters of the network from finite samples of input-output pairs is often referred to…

机器学习 · 计算机科学 2022-11-10 Massimo Fornasier , Timo Klock , Marco Mondelli , Michael Rauchensteiner

This article reviews modern optimization methods for training neural networks with an emphasis on efficiency and scale. We present state-of-the-art optimization algorithms under a unified algorithmic template that highlights the importance…

Parameter fine tuning is a transfer learning approach whereby learned parameters from pre-trained source network are transferred to the target network followed by fine-tuning. Prior research has shown that this approach is capable of…

计算机视觉与模式识别 · 计算机科学 2019-09-20 Tasfia Shermin , Shyh Wei Teng , Manzur Murshed , Guojun Lu , Ferdous Sohel , Manoranjan Paul