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In this paper, we propose two nonparametric methods used in the forecasting of functional time-dependent data, namely functional singular spectrum analysis recurrent forecasting and vector forecasting. Both algorithms utilize the results of…

Machine Learning · Statistics 2021-01-28 Jordan Trinka , Hossein Haghbin , Mehdi Maadooliat

Functional time series (FTS) data have become increasingly available in real-world applications. Research on such data typically focuses on two objectives: curve reconstruction and forecasting, both of which require efficient dimension…

Methodology · Statistics 2025-06-23 Zerui Guo , Jianbin Tan , Hui Huang

We have developed and tested a spatial scan statistic for categorical, functional data (CFSS) - a data structure within which current approaches cannot identify spatial clusters. Our methodology combines an encoding scheme for categorical,…

Methodology · Statistics 2026-03-03 Camille Frévent , Moustapha Sarr , Sophie Dabo-Niang

The recent development of smartphone and wearable sensor technologies enable general public to carry self-tracking tasks more easily. Much work has been devoted to life data collection and visualisation to help people with better…

Computers and Society · Computer Science 2016-10-04 Li Guo

Real-world electricity consumption prediction may involve different tasks, e.g., prediction for different time steps ahead or different geo-locations. These tasks are often solved independently without utilizing some common problem-solving…

Machine Learning · Computer Science 2022-06-01 Hui Song , A. K. Qin , Chenggang Yan

A functional time series approach is proposed for investigating spatial correlation in daily maximum temperature forecast errors for 111 cities spread across the U.S. The modelling of spatial correlation is most fruitful for longer forecast…

Methodology · Statistics 2021-11-23 Phillip A. Jang , David S. Matteson

Functional principal component analysis (FPCA) is a fundamental tool and has attracted increasing attention in recent decades, while existing methods are restricted to data with a single or finite number of random functions (much smaller…

Methodology · Statistics 2021-01-22 Xiaoyu Hu , Fang Yao

Correctly identifying sleep stages is important in diagnosing and treating sleep disorders. This work proposes a joint classification-and-prediction framework based on CNNs for automatic sleep staging, and, subsequently, introduces a simple…

Machine Learning · Computer Science 2019-02-05 Huy Phan , Fernando Andreotti , Navin Cooray , Oliver Y. Chén , Maarten De Vos

The continuous advances in data collection and storage techniques allow us to observe and record real-life processes in great detail. Examples include financial transaction data, fMRI images, satellite photos, earths pollution distribution…

Methodology · Statistics 2015-02-26 Łukasz Kidziński

New data acquisition technologies allow one to gather huge amounts of data that are best represented as functional data. In this setting, profile monitoring assesses the stability over time of both univariate and multivariate functional…

Methodology · Statistics 2025-04-15 Fabio Centofanti , Antonio Lepore , Biagio Palumbo

Daily activity monitoring systems used in households provide vital information for health status, particularly with aging residents. Multiple approaches have been introduced to achieve such goals, typically obtrusive and non-obtrusive.…

Computer Vision and Pattern Recognition · Computer Science 2024-09-16 Dina E. Abdelaleem , Hassan M. Ahmed , M. Sami Soliman , Tarek M. Said

The quality of sleep has a deep impact on people's physical and mental health. People with insufficient sleep are more likely to report physical and mental distress, activity limitation, anxiety, and pain. Moreover, in the past few years,…

Machine Learning · Computer Science 2024-05-30 Meghna Singh , Saksham Goel , Abhiraj Mohan , Jaideep Srivastava

With the advance in mobile computing, Internet of Things, and ubiquitous wireless connectivity, social sensing based edge computing (SSEC) has emerged as a new computation paradigm where people and their personally owned devices collect…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-08 Daniel Zhang , Yue Ma , X. Sharon Hu , Dong Wang

Functional data analysis (FDA) is a part of modern multivariate statistics that analyses data providing information about curves, surfaces or anything else varying over a certain continuum. In economics and empirical finance we often have…

Methodology · Statistics 2019-10-25 Daniel Kosiorowski , Jerzy P. Rydlewski , Małgorzata Snarska

Urbanization and its problems require an in-depth and comprehensive understanding of urban dynamics, especially the complex and diversified lifestyles in modern cities. Digitally acquired data can accurately capture complex human activity,…

Physics and Society · Physics 2022-09-27 Yanni Yang , Alex Pentland , Esteban Moro

Quantifying predictive uncertainty of deep semantic segmentation networks is essential in safety-critical tasks. In applications like autonomous driving, where video data is available, convolutional long short-term memory networks are…

Computer Vision and Pattern Recognition · Computer Science 2023-11-14 Laura Fieback , Bidya Dash , Jakob Spiegelberg , Hanno Gottschalk

Attention calculation is extremely time-consuming for long-sequence inference tasks, such as text or image/video generation, in large models. To accelerate this process, we developed a low-precision, mathematically-equivalent algorithm…

With the rapid advancement of ubiquitous computing technology, human activity analysis based on time series data from a diverse range of sensors enables the delivery of more intelligent services. Despite the importance of exploring new…

Machine Learning · Computer Science 2025-03-21 Hyunju Kim , Dongman Lee

We propose a novel class of prior distributions for sequences of orthogonal functions, which are frequently required in various statistical models such as functional principal component analysis (FPCA). Our approach constructs priors…

Methodology · Statistics 2025-12-25 Shonosuke Sugasawa , Daichi Mochihashi

This paper describes opportunities and challenges of using functional data analysis (FDA) for the exploration and analysis of data originating from electronic commerce (eCommerce). We discuss the special data structures that arise in the…

Statistics Theory · Mathematics 2007-06-13 Wolfgang Jank , Galit Shmueli