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Common nonlinear activation functions used in neural networks can cause training difficulties due to the saturation behavior of the activation function, which may hide dependencies that are not visible to vanilla-SGD (using first order…

机器学习 · 计算机科学 2016-04-05 Caglar Gulcehre , Marcin Moczulski , Misha Denil , Yoshua Bengio

Deep learning relies on good initialization schemes and hyperparameter choices prior to training a neural network. Random weight initializations induce random network ensembles, which give rise to the trainability, training speed, and…

机器学习 · 统计学 2019-10-25 Rebekka Burkholz , Alina Dubatovka

We propose stochastic, non-parametric activation functions that are fully learnable and individual to each neuron. Complexity and the risk of overfitting are controlled by placing a Gaussian process prior over these functions. The result is…

机器学习 · 统计学 2017-12-01 Sebastian Urban , Marcus Basalla , Patrick van der Smagt

Residual networks (ResNet) and weight normalization play an important role in various deep learning applications. However, parameter initialization strategies have not been studied previously for weight normalized networks and, in practice,…

机器学习 · 统计学 2019-10-31 Devansh Arpit , Victor Campos , Yoshua Bengio

Initialising the synaptic weights of artificial neural networks (ANNs) with orthogonal matrices is known to alleviate vanishing and exploding gradient problems. A major objection against such initialisation schemes is that they are deemed…

神经与进化计算 · 计算机科学 2023-03-23 Nikolay Manchev , Michael Spratling

Fully-connected deep neural networks with weights initialized from independent Gaussian distributions can be tuned to criticality, which prevents the exponential growth or decay of signals propagating through the network. However, such…

机器学习 · 计算机科学 2024-06-13 Hannah Day , Yonatan Kahn , Daniel A. Roberts

With the proliferation of deep convolutional neural network (CNN) algorithms for mobile processing, limited precision quantization has become an essential tool for CNN efficiency. Consequently, various works have sought to design fixed…

机器学习 · 计算机科学 2020-12-01 Stone Yun , Alexander Wong

Spiking Neural Networks (SNNs) and neuromorphic computing offer bio-inspired advantages such as sparsity and ultra-low power consumption, providing a promising alternative to conventional networks. However, training deep SNNs from scratch…

计算机视觉与模式识别 · 计算机科学 2025-05-21 Aurora Micheli , Olaf Booij , Jan van Gemert , Nergis Tömen

Deep Gaussian processes (DGPs) can model complex marginal densities as well as complex mappings. Non-Gaussian marginals are essential for modelling real-world data, and can be generated from the DGP by incorporating uncorrelated variables…

机器学习 · 统计学 2019-05-15 Hugh Salimbeni , Vincent Dutordoir , James Hensman , Marc Peter Deisenroth

The ability to train randomly initialised deep neural networks is known to depend strongly on the variance of the weight matrices and biases as well as the choice of nonlinear activation. Here we complement the existing geometric analysis…

信息论 · 计算机科学 2021-02-09 Jared Tanner , Giuseppe Ughi

Finite-width fully connected neural networks with Gaussian-initialized weights deviate from their infinite-width Gaussian limit, exhibiting non-vanishing higher-order cumulants. We approximate these deviations, for a neural network…

机器学习 · 统计学 2026-05-26 Lucia Celli

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

The deep learning literature is continuously updated with new architectures and training techniques. However, weight initialization is overlooked by most recent research, despite some intriguing findings regarding random weights. On the…

神经与进化计算 · 计算机科学 2022-07-19 Leonardo Scabini , Bernard De Baets , Odemir M. Bruno

The growing interest in satellite imagery has triggered the need for efficient mechanisms to extract valuable information from these vast data sources, providing deeper insights. Even though deep learning has shown significant progress in…

计算机视觉与模式识别 · 计算机科学 2024-06-04 Wadii Boulila , Eman Alshanqiti , Ayyub Alzahem , Anis Koubaa , Nabil Mlaiki

It has been noted in existing literature that over-parameterization in ReLU networks generally improves performance. While there could be several factors involved behind this, we prove some desirable theoretical properties at initialization…

机器学习 · 统计学 2019-10-03 Devansh Arpit , Yoshua Bengio

In this paper, we consider fully connected feed-forward deep neural networks where weights and biases are independent and identically distributed according to Gaussian distributions. Extending previous results (Matthews et al., 2018a;b;…

概率论 · 数学 2024-12-02 Daniele Bracale , Stefano Favaro , Sandra Fortini , Stefano Peluchetti

Neural networks with sinusoidal activations have been proposed as an alternative to networks with traditional activation functions. Despite their promise, particularly for learning implicit models, their training behavior is not yet fully…

机器学习 · 计算机科学 2022-11-29 Filipe de Avila Belbute-Peres , J. Zico Kolter

In past few years, various initialization schemes have been proposed. These schemes are glorot initialization, He initialization, initialization using orthogonal matrix, random walk method for initialization. Some of these methods stress on…

机器学习 · 计算机科学 2025-09-08 Vijay Pandey

Weight initialization plays a crucial role in the optimization behavior and convergence efficiency of neural networks. Most existing initialization methods, such as Xavier and Kaiming initializations, rely on random sampling and do not…

机器学习 · 计算机科学 2026-02-09 Shaowen Wang , Tariq Alkhalifah

We study the extent to which wide neural networks may be approximated by Gaussian processes when initialized with random weights. It is a well-established fact that as the width of a network goes to infinity, its law converges to that of a…

概率论 · 数学 2021-02-18 Ronen Eldan , Dan Mikulincer , Tselil Schramm