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We present a methodology for integrating functional data into deep densely connected feed-forward neural networks. The model is defined for scalar responses with multiple functional and scalar covariates. A by-product of the method is a set…

机器学习 · 统计学 2022-12-21 Barinder Thind , Kevin Multani , Jiguo Cao

Nowadays, Neural Networks are considered one of the most effective methods for various tasks such as anomaly detection, computer-aided disease detection, or natural language processing. However, these networks suffer from the ``black-box''…

机器学习 · 统计学 2025-05-14 Ines Ortega-Fernandez , Marta Sestelo

We introduce a new class of non-linear models for functional data based on neural networks. Deep learning has been very successful in non-linear modeling, but there has been little work done in the functional data setting. We propose two…

机器学习 · 计算机科学 2023-05-11 Aniruddha Rajendra Rao , Matthew Reimherr

Feature Selection (FS) is a key task in Machine Learning. It consists in selecting a number of relevant variables for the model construction or data analysis. We present the R package, FSinR, which implements a variety of widely known…

机器学习 · 计算机科学 2020-02-25 F. Aragón-Royón , A. Jiménez-Vílchez , A. Arauzo-Azofra , J. M. Benítez

We propose a new approach, called as functional deep neural network (FDNN), for classifying multi-dimensional functional data. Specifically, a deep neural network is trained based on the principle components of the training data which shall…

机器学习 · 统计学 2022-05-19 Shuoyang Wang , Guanqun Cao , Zuofeng Shang

The regression of a functional response on a set of scalar predictors can be a challenging task, especially if there is a large number of predictors, or the relationship between those predictors and the response is nonlinear. In this work,…

机器学习 · 统计学 2023-08-24 Sidi Wu , Cédric Beaulac , Jiguo Cao

Deep learning's performance has been extensively recognized recently. Graph neural networks (GNNs) are designed to deal with graph-structural data that classical deep learning does not easily manage. Since most GNNs were created using…

机器学习 · 计算机科学 2023-09-20 Zhiqian Chen , Fanglan Chen , Lei Zhang , Taoran Ji , Kaiqun Fu , Liang Zhao , Feng Chen , Lingfei Wu , Charu Aggarwal , Chang-Tien Lu

Deep Neural Networks (DNNs) are universal function approximators providing state-of- the-art solutions on wide range of applications. Common perceptual tasks such as speech recognition, image classification, and object tracking are now…

机器学习 · 统计学 2017-11-08 Randall Balestriero , Richard Baraniuk

The R package innsight offers a general toolbox for revealing variable-wise interpretations of deep neural networks' predictions with so-called feature attribution methods. Aside from the unified and user-friendly framework, the package…

机器学习 · 统计学 2025-01-22 Niklas Koenen , Marvin N. Wright

One of the most prominent attributes of Neural Networks (NNs) constitutes their capability of learning to extract robust and descriptive features from high dimensional data, like images. Hence, such an ability renders their exploitation as…

计算机视觉与模式识别 · 计算机科学 2021-07-14 Ioannis Kansizoglou , Loukas Bampis , Antonios Gasteratos

Deep neural networks (DNNs) are state-of-the-art algorithms for multiple applications, spanning from image classification to speech recognition. While providing excellent accuracy, they often have enormous compute and memory requirements.…

机器学习 · 计算机科学 2020-11-12 Ussama Zahid , Giulio Gambardella , Nicholas J. Fraser , Michaela Blott , Kees Vissers

Deep Neural Networks (DNNs) have emerged as a core tool for machine learning. The computations performed during DNN training and inference are dominated by operations on the weight matrices describing the DNN. As DNNs incorporate more…

分布式、并行与集群计算 · 计算机科学 2018-03-06 Jeremy Kepner , Manoj Kumar , José Moreira , Pratap Pattnaik , Mauricio Serrano , Henry Tufo

Despite their widespread success, the application of deep neural networks to functional data remains scarce today. The infinite dimensionality of functional data means standard learning algorithms can be applied only after appropriate…

机器学习 · 统计学 2021-06-22 Junwen Yao , Jonas Mueller , Jane-Ling Wang

An increasing number of emerging applications in data science and engineering are based on multidimensional and structurally rich data. The irregularities, however, of high-dimensional data often compromise the effectiveness of standard…

There are two fundamental problems in applying deep learning/machine learning methods to disease classification tasks, one is the insufficient number and poor quality of training samples; another one is how to effectively fuse multiple…

机器学习 · 计算机科学 2023-07-25 Menglin Kong , Shaojie Zhao , Juan Cheng , Xingquan Li , Ri Su , Muzhou Hou , Cong Cao

Recurrent neural networks (RNNs) are a cornerstone of sequence modeling across various scientific and industrial applications. Owing to their versatility, numerous RNN variants have been proposed over the past decade, aiming to improve the…

机器学习 · 计算机科学 2025-10-27 Francesco Martinuzzi

Functional Data Analysis (FDA) is a statistical domain developed to handle functional data characterized by high dimensionality and complex data structures. Sequential Neural Networks (SNNs) are specialized neural networks capable of…

机器学习 · 计算机科学 2023-11-06 J. Zhao , J. Li , M. Chen , S. Jadhav

We introduce a new class of non-linear function-on-function regression models for functional data using neural networks. We propose a framework using a hidden layer consisting of continuous neurons, called a continuous hidden layer, for…

统计方法学 · 统计学 2023-10-10 Aniruddha Rajendra Rao , Matthew Reimherr

Designing optimisation algorithms that perform well in general requires experimentation on a range of diverse problems. Training neural networks is an optimisation task that has gained prominence with the recent successes of deep learning.…

神经与进化计算 · 计算机科学 2022-09-07 Katherine M. Malan , Christopher W. Cleghorn

In this paper, we will introduce a novel deep model named Reconciled Polynomial Network (RPN) for deep function learning. RPN has a very general architecture and can be used to build models with various complexities, capacities, and levels…

机器学习 · 计算机科学 2024-07-09 Jiawei Zhang
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