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Existing approaches for derivative estimation are restricted to univariate functional data. We propose two methods to estimate the principal components and scores for the derivatives of multivariate functional data. As a result, the…

Methodology · Statistics 2024-11-28 Yueyun Zhu , Steven Golovkine , Norma Bargary , Andrew J. Simpkin

Given the high volatility and susceptibility to extreme events in the cryptocurrency market, forecasting tail risk is of paramount importance. Value-at-Risk (VaR), a quantile-based risk measure, is widely used for assessing tail risk and is…

Statistics Theory · Mathematics 2025-01-22 Wenchao Xu , Xinyu Zhang , Jeng-Min Chiou , Yuying Sun

This study presents an innovative approach for predicting cryptocurrency time series, specifically focusing on Bitcoin, Ethereum, and Litecoin. The methodology integrates the use of technical indicators, a Performer neural network, and…

Computational Finance · Quantitative Finance 2024-03-07 Mohammad Ali Labbaf Khaniki , Mohammad Manthouri

This paper proposes a classification model for predicting the main activity of bitcoin addresses based on their balances. Since the balances are functions of time, we apply methods from functional data analysis; more specifically, the…

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

The extraordinary advancements in neuroscientific technology for brain recordings over the last decades have led to increasingly complex spatio-temporal datasets. To reduce oversimplifications, new models have been developed to be able to…

Methodology · Statistics 2020-09-22 Nicolo' Margaritella , Vanda Inacio , Ruth King

Functional principal component analysis (FPCA) has played an important role in the development of functional time series analysis. This note investigates how FPCA can be used to analyze cointegrated functional time series and proposes a…

Methodology · Statistics 2023-04-18 Won-Ki Seo

A powerful study design in the fields of genomics and metabolomics is the 'replicated time course experiment' where individual time series are observed for a sample of biological units, such as human patients, termed replicates. Standard…

Methodology · Statistics 2011-12-02 Maurice Berk , Giovanni Montana

The aim of this paper is to investigate the effect of a novel method called linear law-based feature space transformation (LLT) on the accuracy of intraday price movement prediction of cryptocurrencies. To do this, the 1-minute interval…

Statistical Finance · Quantitative Finance 2023-05-09 Marcell T. Kurbucz , Péter Pósfay , Antal Jakovác

Principal Component Analysis (PCA) is widely used for dimensionality reduction and data analysis. However, PCA results are adversely affected by outliers often observed in real-world data. Existing robust PCA methods are often…

Computational Engineering, Finance, and Science · Computer Science 2025-06-23 Timbwaoga Aime Judicael Ouermi , Jixian Li , Chris R. Johnson

Multifractal analysis is a forecasting technique used to study the scaling regularity properties of financial returns, to analyze the long-term memory and predictability of financial markets. In this paper, we propose a novel structural…

Statistical Finance · Quantitative Finance 2023-04-18 Foued Saâdaoui

This paper studies distributed Time-Varying Resource Allocation (TVRA) where the local cost functions, global equality constraints, and Local Feasibility Constraints (LFCs) vary with time. Algorithms that mimic the structure of…

Systems and Control · Electrical Eng. & Systems 2025-10-06 Yiqiao Xu , Tengyang Gong , Zhengtao Ding , Alessandra Parisio

Objective: In some situations that exist both scalar and functional data, called mixed and hybrid data, the hybrid PCA (HPCA) was introduced. Among the regression models for the hybrid data, we can count covariate-adjusted HPCA, the…

Methodology · Statistics 2021-01-20 Mohammad Fayaz , Alireza Abadi , Soheila Khodakarim

Analyzing longitudinal data in health studies is challenging due to sparse and error-prone measurements, strong within-individual correlation, missing data and various trajectory shapes. While mixed-effect models (MM) effectively address…

Methodology · Statistics 2024-07-11 Corentin Ségalas , Catherine Helmer , Robin Genuer , Cécile Proust-Lima

The so-called Forward-Forward Algorithm (FFA) has recently gained momentum as an alternative to the conventional back-propagation algorithm for neural network learning, yielding competitive performance across various modeling tasks. By…

Machine Learning · Computer Science 2025-01-10 Erik B. Terres-Escudero , Javier Del Ser , Pablo Garcia Bringas

In this paper we forecast daily returns of crypto-currencies using a wide variety of different econometric models. To capture salient features commonly observed in financial time series like rapid changes in the conditional variance,…

Econometrics · Economics 2018-02-14 Christian Hotz-Behofsits , Florian Huber , Thomas O. Zörner

The uncertainty of the energy generated by photovoltaic systems incurs an additional cost for a guaranteed, reliable supply of energy (i.e., energy storage). This investigation aims to decrease the additional cost by introducing…

Machine Learning · Computer Science 2023-01-19 Guillermo Terrén-Serrano , Manel Martínez-Ramón

This paper presents a novel approach to functional principal component analysis (FPCA) in Bayes spaces in the setting where densities are the object of analysis, but only few individual samples from each density are observed. We use the…

Methodology · Statistics 2023-09-21 Lisa Steyer , Sonja Greven

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

This paper introduces a robust estimation strategy for the spatial functional linear regression model using dimension reduction methods, specifically functional principal component analysis (FPCA) and functional partial least squares…

Methodology · Statistics 2024-10-28 Ufuk Beyaztas , Abhijit Mandal , Han Lin Shang