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Proper initialisation strategy is of primary importance to mitigate gradient explosion or vanishing when training neural networks. Yet, the impact of initialisation parameters still lacks a precise theoretical understanding for several…

机器学习 · 计算机科学 2026-05-12 Andrea Combette , Antoine Venaille , Nelly Pustelnik

In this effort we propose a novel approach for reconstructing multivariate functions from training data, by identifying both a suitable network architecture and an initialization using polynomial-based approximations. Training deep neural…

机器学习 · 计算机科学 2019-05-29 Joseph Daws , Clayton G. Webster

Neural networks are more expressive when they have multiple layers. In turn, conventional training methods are only successful if the depth does not lead to numerical issues such as exploding or vanishing gradients, which occur less…

机器学习 · 计算机科学 2022-06-07 Carles Riera , Camilo Rey , Thiago Serra , Eloi Puertas , Oriol Pujol

Even though dense networks have lost importance today, they are still used as final logic elements. It could be shown that these dense networks can be simplified by the sparse graph interpretation. This in turn shows that the information…

神经与进化计算 · 计算机科学 2018-09-25 Thomas Pircher , Dominik Haspel , Eberhard Schlücker

Despite their massive success, training successful deep neural networks still largely relies on experimentally choosing an architecture, hyper-parameters, initialization, and training mechanism. In this work, we focus on determining the…

机器学习 · 计算机科学 2021-11-29 Umangi Jain , Harish G. Ramaswamy

Purpose: We propose a novel method for continual learning based on the increasing depth of neural networks. This work explores whether extending neural network depth may be beneficial in a life-long learning setting. Methods: We propose a…

机器学习 · 计算机科学 2023-05-09 Jędrzej Kozal , Michał Woźniak

Numerous theories of learning propose to prevent the gradient from exponential growth with depth or time, to stabilize and improve training. Typically, these analyses are conducted on feed-forward fully-connected neural networks or simple…

机器学习 · 计算机科学 2024-01-08 Luca Herranz-Celotti , Jean Rouat

Deep neural networks (DNNs) form the backbone of almost every state-of-the-art technique in the fields such as computer vision, speech processing, and text analysis. The recent advances in computational technology have made the use of DNNs…

机器学习 · 计算机科学 2018-03-20 Saiprasad Koturwar , Shabbir Merchant

Deep neural networks are usually initialized with random weights, with adequately selected initial variance to ensure stable signal propagation during training. However, selecting the appropriate variance becomes challenging especially as…

机器学习 · 计算机科学 2022-11-07 Jiawei Zhao , Florian Schäfer , Anima Anandkumar

The weight initialization and the activation function of deep neural networks have a crucial impact on the performance of the training procedure. An inappropriate selection can lead to the loss of information of the input during forward…

机器学习 · 统计学 2019-05-28 Soufiane Hayou , Arnaud Doucet , Judith Rousseau

In this paper, we propose a generic and simple strategy for utilizing stochastic gradient information in optimization. The technique essentially contains two consecutive steps in each iteration: 1) computing and normalizing each block…

机器学习 · 计算机科学 2018-04-24 Adams Wei Yu , Lei Huang , Qihang Lin , Ruslan Salakhutdinov , Jaime Carbonell

Port-Hamiltonian neural networks have shown promising results in the identification of nonlinear dynamics of complex systems, as their combination of physical principles with data-driven learning allows for accurate modelling. However, due…

系统与控制 · 电气工程与系统科学 2026-01-28 G. J. E. van Otterdijk , S. Weiland , M. Schoukens

This paper tackles the problem of training a deep convolutional neural network of both low-bitwidth weights and activations. Optimizing a low-precision network is very challenging due to the non-differentiability of the quantizer, which may…

计算机视觉与模式识别 · 计算机科学 2021-06-07 Bohan Zhuang , Jing Liu , Mingkui Tan , Lingqiao Liu , Ian Reid , Chunhua Shen

Training deep neural networks for scientific computing remains computationally expensive due to the slow formation of diverse feature representations in early training stages. Recent studies identify a staircase phenomenon in training…

数值分析 · 数学 2025-07-17 Tao Tang , Jiang Yang , Yuxiang Zhao , Quanhui Zhu

In this paper, we explore the structure of the penultimate Gram matrix in deep neural networks, which contains the pairwise inner products of outputs corresponding to a batch of inputs. In several architectures it has been observed that…

机器学习 · 计算机科学 2023-11-21 Amir Joudaki , Hadi Daneshmand , Francis Bach

Layer-sequential unit-variance (LSUV) initialization - a simple method for weight initialization for deep net learning - is proposed. The method consists of the two steps. First, pre-initialize weights of each convolution or inner-product…

机器学习 · 计算机科学 2016-02-22 Dmytro Mishkin , Jiri Matas

Deep learning methods can play a crucial role in anomaly detection, prediction, and supporting decision making for applications like personal health-care, pervasive body sensing, etc. However, current architecture of deep networks suffers…

计算机视觉与模式识别 · 计算机科学 2017-11-22 Hao Dong , Chao Wu , Zhen Wei , Yike Guo

Training Deep Neural Networks is complicated by the fact that the distribution of each layer's inputs changes during training, as the parameters of the previous layers change. This slows down the training by requiring lower learning rates…

机器学习 · 计算机科学 2015-03-03 Sergey Ioffe , Christian Szegedy

Adaptive inference is a promising technique to improve the computational efficiency of deep models at test time. In contrast to static models which use the same computation graph for all instances, adaptive networks can dynamically adjust…

计算机视觉与模式识别 · 计算机科学 2019-08-20 Hao Li , Hong Zhang , Xiaojuan Qi , Ruigang Yang , Gao Huang

Activation functions critically influence trainability and expressivity, and recent work has therefore explored a broad range of nonlinearities. However, widely used Gaussian i.i.d. initializations are designed to preserve activation…

机器学习 · 计算机科学 2025-12-17 Hyunwoo Lee , Hayoung Choi , Hyunju Kim