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Understanding the advantages of deep neural networks trained by gradient descent (GD) compared to shallow models remains an open theoretical challenge. In this paper, we introduce a class of target functions (single and multi-index Gaussian…

Machine Learning · Statistics 2025-11-17 Yatin Dandi , Luca Pesce , Lenka Zdeborová , Florent Krzakala

Deep neural networks (DNNs) are powerful types of artificial neural networks (ANNs) that use several hidden layers. They have recently gained considerable attention in the speech transcription and image recognition community (Krizhevsky et…

Machine Learning · Computer Science 2017-06-15 Matthew Dixon , Diego Klabjan , Jin Hoon Bang

This work contributes to the development of a new data-driven method (D-DM) of feedforward neural networks (FNNs) learning. This method was proposed recently as a way of improving randomized learning of FNNs by adjusting the network…

Machine Learning · Computer Science 2021-07-07 Grzegorz Dudek

Deep neural networks (DNNs) have achieved remarkable success in a variety of computer vision tasks, where massive labeled images are routinely required for model optimization. Yet, the data collected from the open world are unavoidably…

Computer Vision and Pattern Recognition · Computer Science 2023-02-13 Peng Cui , Yang Yue , Zhijie Deng , Jun Zhu

A novel hierarchical Deep Neural Network (DNN) model is presented to address the task of end-to-end driving. The model consists of a master classifier network which determines the driving task required from an input stereo image and directs…

Machine Learning · Computer Science 2020-12-03 Jose Solomon , Francois Charette

The opportunity to utilize complex functional data types for conducting classification tasks is emerging with the growing availability of imaging data. However, the tools capable of effectively managing imaging data are limited, let alone…

Methodology · Statistics 2025-07-22 Shuoyang Wang , Guanqun Cao , Yuan Huang

Due to the advent of modern embedded systems and mobile devices with constrained resources, there is a great demand for incredibly efficient deep neural networks for machine learning purposes. There is also a growing concern of privacy and…

Computer Vision and Pattern Recognition · Computer Science 2021-12-02 Priyank Kalgaonkar , Mohamed El-Sharkawy

Segmenting blood vessels in fundus imaging plays an important role in medical diagnosis. Many algorithms have been proposed. While deep Neural Networks have been attracting enormous attention from computer vision community recent years and…

Computer Vision and Pattern Recognition · Computer Science 2017-05-02 Yongliang Chen

It is widely known that very small datasets produce overfitting in Deep Neural Networks (DNNs), i.e., the network becomes highly biased to the data it has been trained on. This issue is often alleviated using transfer learning,…

Computer Vision and Pattern Recognition · Computer Science 2020-07-02 Manuel Rey-Area , Emilio Guirado , Siham Tabik , Javier Ruiz-Hidalgo

In this paper, we propose a phase shift deep neural network (PhaseDNN) which provides a wideband convergence in approximating a high dimensional function during its training of the network. The PhaseDNN utilizes the fact that many DNN…

Signal Processing · Electrical Eng. & Systems 2019-05-14 Wei Cai , Xiaoguang Li , Lizuo Liu

We propose a novel class of neural network-like parametrized functions, i.e., general transformation neural networks (GTNNs), for high-dimensional approximation. Conventional deep neural networks sometimes perform less accurately on…

Numerical Analysis · Mathematics 2026-02-25 Xiaoyang Wang , Yiqi Gu

In domains such as health care and finance, shortage of labeled data and computational resources is a critical issue while developing machine learning algorithms. To address the issue of labeled data scarcity in training and deployment of…

Machine Learning · Computer Science 2018-10-16 Otkrist Gupta , Ramesh Raskar

We present a new Deep Neural Network (DNN) architecture capable of approximating functions up to machine accuracy. Termed Chebyshev Feature Neural Network (CFNN), the new structure employs Chebyshev functions with learnable frequencies as…

Machine Learning · Computer Science 2024-12-24 Zhongshu Xu , Yuan Chen , Dongbin Xiu

Deep learning has delivered its powerfulness in many application domains, especially in image and speech recognition. As the backbone of deep learning, deep neural networks (DNNs) consist of multiple layers of various types with hundreds to…

Machine Learning · Computer Science 2017-12-14 Sheng Lin , Ning Liu , Mahdi Nazemi , Hongjia Li , Caiwen Ding , Yanzhi Wang , Massoud Pedram

In recent years, deep learning techniques have been introduced into the field of trajectory optimization to improve convergence and speed. Training such models requires large trajectory datasets. However, the convergence of low thrust (LT)…

Optimization and Control · Mathematics 2022-02-11 Ruida Xie , Andrew G. Dempster

Domain adaptation aims at training a classifier in one dataset and applying it to a related but not identical dataset. One successfully used framework of domain adaptation is to learn a transformation to match both the distribution of the…

Computer Vision and Pattern Recognition · Computer Science 2015-03-03 Xu Zhang , Felix Xinnan Yu , Shih-Fu Chang , Shengjin Wang

In the context of classification problems, Deep Learning (DL) approaches represent state of art. Many DL approaches are based on variations of standard multi-layer feed-forward neural networks. These are also referred to as deep networks.…

Machine Learning · Computer Science 2023-11-21 Andrea Apicella , Francesco Isgrò , Roberto Prevete

The Gaussian-radial-basis function neural network (GRBFNN) has been a popular choice for interpolation and classification. However, it is computationally intensive when the dimension of the input vector is high. To address this issue, we…

Machine Learning · Computer Science 2023-08-15 Siyuan Xing , Jianqiao Sun

Recent advances in learning Deep Neural Network (DNN) architectures have received a great deal of attention due to their ability to outperform state-of-the-art classifiers across a wide range of applications, with little or no feature…

Cryptography and Security · Computer Science 2018-04-03 Se Eun Oh , Saikrishna Sunkam , Nicholas Hopper

In the field of pattern recognition research, the method of using deep neural networks based on improved computing hardware recently attracted attention because of their superior accuracy compared to conventional methods. Deep neural…

Computer Vision and Pattern Recognition · Computer Science 2018-09-27 Kyongsik Yun , Alexander Huyen , Thomas Lu