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It is well understood that neural networks with carefully hand-picked weights provide powerful function approximation and that they can be successfully trained in over-parametrized regimes. Since over-parametrization ensures zero training…

机器学习 · 计算机科学 2024-05-21 G. Welper

This article contributes to the current statistical theory of deep neural networks (DNNs). It was shown that DNNs are able to circumvent the so--called curse of dimensionality in case that suitable restrictions on the structure of the…

统计理论 · 数学 2020-10-14 Sophie Langer

Low precision weights, activations, and gradients have been proposed as a way to improve the computational efficiency and memory footprint of deep neural networks. Recently, low precision networks have even shown to be more robust to…

机器学习 · 计算机科学 2018-07-04 Griffin Lacey , Graham W. Taylor , Shawki Areibi

The Neural Autoregressive Distribution Estimator (NADE) and its real-valued version RNADE are competitive density models of multidimensional data across a variety of domains. These models use a fixed, arbitrary ordering of the data…

机器学习 · 统计学 2014-01-14 Benigno Uria , Iain Murray , Hugo Larochelle

In this article we present new results on neural networks with linear threshold activation functions. We precisely characterize the class of functions that are representable by such neural networks and show that 2 hidden layers are…

机器学习 · 计算机科学 2023-10-20 Sammy Khalife , Hongyu Cheng , Amitabh Basu

We investigate deep morphological neural networks (DMNNs). We demonstrate that despite their inherent non-linearity, "linear" activations are essential for DMNNs. To preserve their inherent sparsity, we propose architectures that constraint…

机器学习 · 计算机科学 2025-12-24 Konstantinos Fotopoulos , Petros Maragos

Composite adaptive radial basis function neural network (RBFNN) control with a lattice distribution of hidden nodes has three inherent demerits: 1) the approximation domain of adaptive RBFNNs is difficult to be determined a priori; 2) only…

系统与控制 · 电气工程与系统科学 2021-04-23 Qiong Liu , Dongyu Li , Shuzhi Sam Ge , Zhong Ouyang

In this paper, we propose to train a network with binary weights and low-bitwidth activations, designed especially for mobile devices with limited power consumption. Most previous works on quantizing CNNs uncritically assume the same…

计算机视觉与模式识别 · 计算机科学 2018-08-09 Bohan Zhuang , Chunhua Shen , Ian Reid

Training a sparse neural network from scratch requires optimizing connections at the same time as the weights themselves. Typically, the weights are redistributed after a predefined number of weight updates, removing a fraction of the…

In this paper, we study approximation properties of single hidden layer neural networks with weights varying on finitely many directions and thresholds from an open interval. We obtain a necessary and at the same time sufficient measure…

机器学习 · 计算机科学 2023-04-05 Vugar Ismailov , Ekrem Savas

On-device neural network training faces critical memory constraints that limit the adaptation of pre-trained models to downstream tasks. We present MeDyate, a theoretically-grounded framework for memory-constrained dynamic subnetwork…

机器学习 · 计算机科学 2025-10-27 Aël Quélennec , Pavlo Mozharovskyi , Van-Tam Nguyen , Enzo Tartaglione

This paper presents a novel technique based on gradient boosting to train the final layers of a neural network (NN). Gradient boosting is an additive expansion algorithm in which a series of models are trained sequentially to approximate a…

机器学习 · 计算机科学 2023-05-05 Seyedsaman Emami , Gonzalo Martínez-Muñoz

Neural networks are trained by choosing an architecture and training the parameters. The choice of architecture is often by trial and error or with Neural Architecture Search (NAS) methods. While NAS provides some automation, it often…

机器学习 · 计算机科学 2024-10-14 Zitong Huang , Mansooreh Montazerin , Ajitesh Srivastava

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

Deep neural networks are typically initialized with random weights, with variances chosen to facilitate signal propagation and stable gradients. It is also believed that diversity of features is an important property of these…

机器学习 · 计算机科学 2020-07-03 Yaniv Blumenfeld , Dar Gilboa , Daniel Soudry

It is commonly believed that the hidden layers of deep neural networks (DNNs) attempt to extract informative features for learning tasks. In this paper, we formalize this intuition by showing that the features extracted by DNN coincide with…

信息论 · 计算机科学 2019-05-17 Shao-Lun Huang , Xiangxiang Xu , Lizhong Zheng , Gregory W. Wornell

In this paper we approach the problem of unique and stable identifiability of generic deep artificial neural networks with pyramidal shape and smooth activation functions from a finite number of input-output samples. More specifically we…

机器学习 · 计算机科学 2021-01-19 Christian Fiedler , Massimo Fornasier , Timo Klock , Michael Rauchensteiner

Gradient-based neural network training traditionally enforces symmetry between forward and backward propagation, requiring activation functions to be differentiable (or sub-differentiable) and strictly monotonic in certain regions to…

神经与进化计算 · 计算机科学 2025-09-10 Luigi Troiano , Francesco Gissi , Vincenzo Benedetto , Genny Tortora

Despite their impressive performance, Deep Neural Networks (DNNs) typically underperform Gradient Boosting Trees (GBTs) on many tabular-dataset learning tasks. We propose that applying a different regularization coefficient to each weight…

机器学习 · 统计学 2018-10-25 Ira Shavitt , Eran Segal

A recent work by Ramanujan et al. (2020) provides significant empirical evidence that sufficiently overparameterized, random neural networks contain untrained subnetworks that achieve state-of-the-art accuracy on several predictive tasks. A…

机器学习 · 计算机科学 2021-10-26 Kartik Sreenivasan , Shashank Rajput , Jy-yong Sohn , Dimitris Papailiopoulos