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Regularizing the gradient norm of the output of a neural network with respect to its inputs is a powerful technique, rediscovered several times. This paper presents evidence that gradient regularization can consistently improve…

机器学习 · 计算机科学 2018-05-28 Dániel Varga , Adrián Csiszárik , Zsolt Zombori

We study the distributional properties of linear neural networks with random parameters in the context of large networks, where the number of layers diverges in proportion to the number of neurons per layer. Prior works have shown that in…

机器学习 · 统计学 2024-11-26 Federico Bassetti , Lucia Ladelli , Pietro Rotondo

In this paper, we discuss a class of distributed detection algorithms which can be viewed as implementations of Bayes' law in distributed settings. Some of the algorithms are proposed in the literature most recently, and others are first…

统计方法学 · 统计学 2015-11-10 Qipeng Liu , Jiuhua Zhao , Xiaofan Wang

Neural networks and Gaussian processes are complementary in their strengths and weaknesses. Having a better understanding of their relationship comes with the promise to make each method benefit from the strengths of the other. In this…

We introduce a parametric nonlinear transformation that is well-suited for Gaussianizing data from natural images. The data are linearly transformed, and each component is then normalized by a pooled activity measure, computed by…

机器学习 · 计算机科学 2021-01-19 Johannes Ballé , Valero Laparra , Eero P. Simoncelli

In this paper, we provide an overview of a common phenomenon, condensation, observed during the nonlinear training of neural networks: During the nonlinear training of neural networks, neurons in the same layer tend to condense into groups…

机器学习 · 计算机科学 2026-04-14 Zhi-Qin John Xu , Yaoyu Zhang , Zhangchen Zhou

Neural network designers have reached progressive accuracy by increasing models depth, introducing new layer types and discovering new combinations of layers. A common element in many architectures is the distribution of the number of…

计算机视觉与模式识别 · 计算机科学 2021-04-30 Ramon Izquierdo-Cordova , Walterio Mayol-Cuevas

This paper proposes a novel regularization approach to bias Convolutional Neural Networks (CNNs) toward utilizing edge and line features in their hidden layers. Rather than learning arbitrary kernels, we constrain the convolution layers to…

计算机视觉与模式识别 · 计算机科学 2024-10-23 Christoph Linse , Beatrice Brückner , Thomas Martinetz

Quantization of neural networks has become common practice, driven by the need for efficient implementations of deep neural networks on embedded devices. In this paper, we exploit an oft-overlooked degree of freedom in most networks - for a…

机器学习 · 计算机科学 2019-02-07 Eldad Meller , Alexander Finkelstein , Uri Almog , Mark Grobman

Neural networks are powerful function approximators with tremendous potential in learning complex distributions. However, they are prone to overfitting on spurious patterns. Bayesian inference provides a principled way to regularize neural…

机器学习 · 计算机科学 2024-12-02 Yanzhe Bekkemoen , Helge Langseth

Regularization can mitigate the generalization gap between training and inference by introducing inductive bias. Existing works have already proposed various inductive biases from diverse perspectives. However, none of them explores…

机器学习 · 计算机科学 2022-11-02 Qiang Fu , Lun Du , Haitao Mao , Xu Chen , Wei Fang , Shi Han , Dongmei Zhang

Large-batch SGD is important for scaling training of deep neural networks. However, without fine-tuning hyperparameter schedules, the generalization of the model may be hampered. We propose to use batch augmentation: replicating instances…

机器学习 · 计算机科学 2019-01-29 Elad Hoffer , Tal Ben-Nun , Itay Hubara , Niv Giladi , Torsten Hoefler , Daniel Soudry

Batch normalization has become ubiquitous in many state-of-the-art nets. It accelerates training and yields good performance results. However, there are various other alternatives to normalization, e.g. orthonormalization. The objective of…

机器学习 · 计算机科学 2018-12-10 Blanchette , Laganière

Accurate quantification of uncertainty in neural network predictions remains a central challenge for scientific applications involving high-dimensional, correlated data. While existing methods capture either aleatoric or epistemic…

机器学习 · 计算机科学 2025-08-26 Harrison J. Goldwyn , Mitchell Krock , Johann Rudi , Daniel Getter , Julie Bessac

Deep convolutional neural networks have shown remarkable performance on various computer vision tasks, and yet, they are susceptible to picking up spurious correlations from the training signal. So called `shortcuts' can occur during…

计算机视觉与模式识别 · 计算机科学 2022-09-21 Mobarakol Islam , Ben Glocker

This paper underlines a subtle property of batch-normalization (BN): Successive batch normalizations with random linear transformations make hidden representations increasingly orthogonal across layers of a deep neural network. We establish…

机器学习 · 统计学 2021-06-09 Hadi Daneshmand , Amir Joudaki , Francis Bach

Despite the fact that neural networks are widely used for speech-driven head motion synthesis, it is well-known that the output of neural networks is noisy or discontinuous due to the limited capability of deep neural networks in predicting…

信号处理 · 电气工程与系统科学 2019-07-26 JinHong Lu , Hiroshi Shimodaira

We propose a simple method that combines neural networks and Gaussian processes. The proposed method can estimate the uncertainty of outputs and flexibly adjust target functions where training data exist, which are advantages of Gaussian…

机器学习 · 统计学 2017-07-20 Tomoharu Iwata , Zoubin Ghahramani

Transferability of learned features between tasks can massively reduce the cost of training a neural network on a novel task. We investigate the effect of network width on learned features using activation atlases --- a visualization…

机器学习 · 计算机科学 2019-09-26 Dar Gilboa , Guy Gur-Ari

Multilayer (or deep) networks are powerful probabilistic models based on multiple stages of a linear transform followed by a non-linear (possibly random) function. In general, the linear transforms are defined by matrices and the non-linear…

信息论 · 计算机科学 2017-10-13 Galen Reeves