Functional Data

Functional data analysis focuses on data consisting of curves or functions, rather than individual data points, aiming to extract meaningful information and patterns from these complex datasets. Current research heavily utilizes deep neural networks, including specialized architectures tailored for multivariate and high-dimensional functional data, often incorporating techniques like principal component analysis for dimensionality reduction and employing loss functions optimized for functional data characteristics. These advancements enable improved classification, anomaly detection, and alignment of functional data, with applications spanning diverse fields such as medicine (e.g., ECG analysis), signal processing, and industrial monitoring, where understanding temporal or spatial patterns is crucial.

Papers

November 14, 2023

Joint Alignment of Multivariate Quasi-Periodic Functional Data Using Deep Learning
Vi Thanh Pham, Jonas Bille Nielsen, Klaus Fuglsang Kofoed, Jørgen Tobias Kühl, Andreas Kryger Jensen
Deep Learning Multivariate Approach Functional Data Analysis Temporal Variation Joint Alignment Periodic Function Functional Data

May 22, 2023

Multiclass classification for multidimensional functional data through deep neural networks
Shuoyang Wang, Guanqun Cao
Deep Neural Network Multi Class Classification Sparse Neural Network Multiclass Classification High Dimensional Feature Functional Deep Neural Network Functional Data

June 22, 2022

Functional Nonlinear Learning
Haixu Wang, Jiguo Cao
Functional Data Analysis Functional Principal Component Functional Learning Functional Data

May 17, 2022

Deep Neural Network Classifier for Multi-dimensional Functional Data
Shuoyang Wang, Guanqun Cao, Zuofeng Shang
Deep Learning Classifier Functional Principal Component Functional Deep Neural Network Functional Data

May 3, 2022

Explainable multi-class anomaly detection on functional data
Mathieu Cura, Katarina Firdova, Céline Labart, Arthur Martel
Anomaly Detection Decision Tree Multi Class Anomaly Detection Isolation Forest Functional Data

Functional Data

Papers

Joint Alignment of Multivariate Quasi-Periodic Functional Data Using Deep Learning

Multiclass classification for multidimensional functional data through deep neural networks

Functional Nonlinear Learning

Deep Neural Network Classifier for Multi-dimensional Functional Data

Explainable multi-class anomaly detection on functional data