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Multifractal time series analysis is a approach that shows the possible complexity of the system. Nowadays, one of the most popular and the best methods for determining multifractal characteristics is Multifractal Detrended Fluctuation…

统计金融 · 定量金融 2015-10-20 Rafal Rak , Pawel Zięba

Tensor classification has become increasingly crucial in statistics and machine learning, with applications spanning neuroimaging, computer vision, and recommendation systems. However, the high dimensionality of tensors presents significant…

统计方法学 · 统计学 2024-09-24 Elynn Chen , Yuefeng Han , Jiayu Li

Transformer architectures have achieved remarkable success in various domains. While efficient alternatives to Softmax Attention have been widely studied, the search for more expressive mechanisms grounded in theoretical insight-even at…

机器学习 · 计算机科学 2025-10-03 Yifei Zuo , Yutong Yin , Zhichen Zeng , Ang Li , Banghua Zhu , Zhaoran Wang

Functional data analysis is a fast evolving branch of statistics. Estimation procedures for the popular functional linear model either suffer from lack of robustness or are computationally burdensome. To address these shortcomings, a…

统计方法学 · 统计学 2021-08-27 Ioannis Kalogridis , Stefan Van Aelst

Missing data in time-series analysis poses significant challenges, affecting the reliability of downstream applications. Imputation, the process of estimating missing values, has emerged as a key solution. This paper introduces BRATI, a…

机器学习 · 计算机科学 2025-01-10 Armando Collado-Villaverde , Pablo Muñoz , Maria D. R-Moreno

Many unsupervised domain adaptation (UDA) methods have been proposed to bridge the domain gap by utilizing domain invariant information. Most approaches have chosen depth as such information and achieved remarkable success. Despite their…

计算机视觉与模式识别 · 计算机科学 2022-11-17 Ting-Hsuan Liao , Huang-Ru Liao , Shan-Ya Yang , Jie-En Yao , Li-Yuan Tsao , Hsu-Shen Liu , Bo-Wun Cheng , Chen-Hao Chao , Chia-Che Chang , Yi-Chen Lo , Chun-Yi Lee

Time-series prediction or forecasting is critical across many real-world dynamic systems, and recent studies have proposed using Large Language Models (LLMs) for this task due to their strong generalization capabilities and ability to…

机器学习 · 计算机科学 2025-06-04 Chamara Madarasingha , Nasrin Sohrabi , Zahir Tari

We revisit the problem of feature selection in linear discriminant analysis (LDA), that is, when features are correlated. First, we introduce a pooled centroids formulation of the multiclass LDA predictor function, in which the relative…

应用统计 · 统计学 2010-10-11 Miika Ahdesmäki , Korbinian Strimmer

Linear discriminant analysis (LDA) is a classical method for dimensionality reduction, where discriminant vectors are sought to project data to a lower dimensional space for optimal separability of classes. Several recent papers have…

统计计算 · 统计学 2022-03-04 Summer Atkins , Gudmundur Einarsson , Brendan Ames , Line Clemmensen

Data can be assumed to be continuous functions defined on an infinite-dimensional space for many phenomena. However, the infinite-dimensional data might be driven by a small number of latent variables. Hence, factor models are relevant for…

统计方法学 · 统计学 2022-05-18 Israel Martínez-Hernández , Jesús Gonzalo , Graciela González-Farías

Functional data analysis is becoming increasingly popular to study data from real-valued random functions. Nevertheless, there is a lack of multiple testing procedures for such data. These are particularly important in factorial designs to…

统计方法学 · 统计学 2024-06-04 Merle Munko , Marc Ditzhaus , Markus Pauly , Łukasz Smaga

In this paper, we propose a novel framework for non-stationary time-series analysis that replaces conventional correlation-based statistics with direct estimation of statistical dependence in the normalized joint density of input and target…

机器学习 · 计算机科学 2026-04-09 Yao Sun , Bo Hu , Jose Principe

The problem of monotone missing data has been broadly studied during the last two decades and has many applications in different fields such as bioinformatics or statistics. Commonly used imputation techniques require multiple iterations…

机器学习 · 计算机科学 2020-09-25 Thu Nguyen , Duy H. M. Nguyen , Huy Nguyen , Binh T. Nguyen , Bruce A. Wade

Multimodal Sentiment Analysis (MSA) leverages heterogeneous modalities, such as language, vision, and audio, to enhance the understanding of human sentiment. While existing models often focus on extracting shared information across…

机器学习 · 计算机科学 2025-04-10 Pan Wang , Qiang Zhou , Yawen Wu , Tianlong Chen , Jingtong Hu

Over the years data has become increasingly higher dimensional, which has prompted an increased need for dimension reduction techniques. This is perhaps especially true for clustering (unsupervised classification) as well as semi-supervised…

统计方法学 · 统计学 2018-10-02 Michael P. B. Gallaugher , Paul D. McNicholas

RDD (Regression discontinuity design) is a widely used framework for identifying and estimating causal effects at the cutoff of a single running variable. In practice, however, decision-making often involves multiple thresholds and…

Multimodal learning has exhibited a significant advantage in affective analysis tasks owing to the comprehensive information of various modalities, particularly the complementary information. Thus, many emerging studies focus on…

人工智能 · 计算机科学 2024-04-09 Ying Zhou , Xuefeng Liang , Han Chen , Yin Zhao , Xin Chen , Lida Yu

Time series classification with missing data is a prevalent issue in time series analysis, as temporal data often contain missing values in practical applications. The traditional two-stage approach, which handles imputation and…

机器学习 · 计算机科学 2024-08-13 Pengshuai Yao , Mengna Liu , Xu Cheng , Fan Shi , Huan Li , Xiufeng Liu , Shengyong Chen

Multimodal data, where different types of data are collected from the same subjects, are fast emerging in a large variety of scientific applications. Factor analysis is commonly used in integrative analysis of multimodal data, and is…

统计理论 · 数学 2021-03-31 Quefeng Li , Lexin Li

A classification technique incorporating a novel feature derivation method is proposed for predicting failure of a system or device with multivariate time series sensor data. We treat the multivariate time series sensor data as images for…

机器学习 · 计算机科学 2021-09-22 Lanfa Frank Wang , Danjue Li
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