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The design of methods for inference from time sequences has traditionally relied on statistical models that describe the relation between a latent desired sequence and the observed one. A broad family of model-based algorithms have been…

Machine Learning · Computer Science 2021-12-28 Nir Shlezinger , Nariman Farsad , Yonina C. Eldar , Andrea J. Goldsmith

This work presents an introduction to feature-based time-series analysis. The time series as a data type is first described, along with an overview of the interdisciplinary time-series analysis literature. I then summarize the range of…

Machine Learning · Computer Science 2017-10-03 Ben D. Fulcher

The superfamily phenomenon of time series with different dynamics can be characterized by the motif rank patterns observed in the nearest-neighbor networks of the time series in phase space. However, the determinants of superfamily…

Statistical Finance · Quantitative Finance 2010-11-22 Chuang Liu , Wei-Xing Zhou

We propose a unified framework to speed up the existing stochastic matrix factorization (SMF) algorithms via variance reduction. Our framework is general and it subsumes several well-known SMF formulations in the literature. We perform a…

Machine Learning · Statistics 2017-05-23 Renbo Zhao , William B. Haskell , Jiashi Feng

We present a general framework of detrending methods of fluctuation analysis of which detrended fluctuation analysis (DFA) is one prominent example. Another more recently introduced method is detrending moving average (DMA). Both methods…

Statistical Mechanics · Physics 2019-04-03 Marc Höll , Ken Kiyono , Holger Kantz

Time-series classification is an important domain of machine learning and a plethora of methods have been developed for the task. In comparison to existing approaches, this study presents a novel method which decomposes a time-series…

Machine Learning · Computer Science 2015-03-12 Josif Grabocka , Lars Schmidt-Thieme

In this work, we consider the problem of blind source separation (BSS) by departing from the usual linear model and focusing on the linear-quadratic (LQ) model. We propose two provably robust and computationally tractable algorithms to…

Signal Processing · Electrical Eng. & Systems 2021-12-20 Christophe Kervazo , Nicolas Gillis , Nicolas Dobigeon

Anomalous diffusion is often modelled in terms of the subdiffusion equation, which can involve a weakly singular source term. For this case, many predominant time stepping methods, including the correction of high-order BDF schemes [{\sc…

Numerical Analysis · Mathematics 2023-06-27 Jiankang Shi , Minghua Chen

This paper studies slow, fast and opportunistic fluid antenna multiple access (FAMA) under the effect of Nakagami-m fading channels, considering the new and realistic spatial blockcorrelation model. Expressions for the outage probability…

Statistics Theory · Mathematics 2025-10-09 Paulo R. de Moura , Hugerles S. Silva , Ugo S. Dias , Higo T. P. Silva

This article focuses on covariance estimation for multi-study data. Popular approaches employ factor-analytic terms with shared and study-specific loadings that decompose the variance into (i) a shared low-rank component, (ii)…

Methodology · Statistics 2026-01-26 Lorenzo Mauri , Niccolò Anceschi , David B. Dunson

Irregularly sampled time series are increasingly prevalent, particularly in medical domains. While various specialized methods have been developed to handle these irregularities, effectively modeling their complex dynamics and pronounced…

Machine Learning · Computer Science 2023-11-01 Zekun Li , Shiyang Li , Xifeng Yan

We propose the Fourier Adaptive Lite Diffusion Architecture (FALDA), a novel probabilistic framework for time series forecasting. First, we introduce the Diffusion Model for Residual Regression (DMRR) framework, which unifies…

Machine Learning · Computer Science 2025-05-19 Xinyan Wang , Rui Dai , Kaikui Liu , Xiangxiang Chu

This paper proposes a vision-conditioned flow matching (FM) framework for beam prediction in millimeter-wave vehicle-to-infrastructure links. Instead of modeling discrete beam-index sequences, the proposed method learns the temporal…

Signal Processing · Electrical Eng. & Systems 2026-04-14 Can Zheng , Jiguang He , Chung G. Kang , Guofa Cai , Chongwen Huang , Henk Wymeersch

Standard flow matching scales well but typically relies on an unstructured source distribution, limiting its ability to learn interpretable latent structure. Latent-variable models, by contrast, capture structure but often sacrifice…

Machine Learning · Computer Science 2026-05-11 Xavier Sumba , Carles Balsells-Rodas , Yingzhen Li

The efficient resolution of Bayesian inverse problems remains challenging due to the high computational cost of traditional sampling methods. In this paper, we propose a novel framework that integrates Conditional Flow Matching (CFM) with a…

Machine Learning · Computer Science 2025-05-20 Daniil Sherki , Ivan Oseledets , Ekaterina Muravleva

Generative models for multivariate time series are essential for data augmentation, simulation, and privacy preservation, yet current state-of-the-art diffusion-based approaches are slow and limited to fixed-length windows. We propose…

Machine Learning · Computer Science 2025-11-10 Siyuan Li , Yifan Sun , Lei Cheng , Lewen Wang , Yang Liu , Weiqing Liu , Jianlong Li , Jiang Bian , Shikai Fang

We propose a novel and unified framework for change-point estimation in multivariate time series. The proposed method is fully nonparametric, enjoys effortless tuning and is robust to temporal dependence. One salient and distinct feature of…

Methodology · Statistics 2022-09-12 Zifeng Zhao , Feiyu Jiang , Xiaofeng Shao

Latent factor models (LFMs) such as matrix factorization achieve the state-of-the-art performance among various Collaborative Filtering (CF) approaches for recommendation. Despite the high recommendation accuracy of LFMs, a critical issue…

Machine Learning · Computer Science 2019-09-10 Weiyu Cheng , Yanyan Shen , Yanmin Zhu , Linpeng Huang

Unlike natural language processing and computer vision, the development of Foundation Models (FMs) for time series forecasting is blocked due to data scarcity. While recent efforts are focused on building such FMs by unlocking the potential…

Machine Learning · Computer Science 2024-10-10 Qingxiang Liu , Xu Liu , Chenghao Liu , Qingsong Wen , Yuxuan Liang

The classical Fourier analysis of a time signal, in the discrete sense, provides the frequency content of signal under the assumption of periodicity. Although the original signal can be exactly recovered using an inverse transform, the time…

Fluid Dynamics · Physics 2026-01-06 Vilas J. Shinde