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Many real-world relational systems, such as social networks and biological systems, contain dynamic interactions. When learning dynamic graph representation, it is essential to employ sequential temporal information and geometric structure.…

机器学习 · 计算机科学 2021-11-16 Bingxin Zhou , Xinliang Liu , Yuehua Liu , Yunying Huang , Pietro Liò , YuGuang Wang

Multivariate time series forecasting is a pivotal task in several domains, including financial planning, medical diagnostics, and climate science. This paper presents the Neural Fourier Transform (NFT) algorithm, which combines…

机器学习 · 计算机科学 2024-05-24 Noam Koren , Kira Radinsky

Modern technological advances have expanded the scope of applications requiring analysis of large-scale datastreams that comprise multiple indefinitely long time series. There is an acute need for statistical methodologies that perform…

统计方法学 · 统计学 2021-11-03 Jingshen Wang , Lilun Du , Changliang Zou , Zhenke Wu

This study presents incremental correction methods for refining neural network parameters or control functions entering into a continuous-time dynamic system to achieve improved solution accuracy in satisfying the interim point constraints…

最优化与控制 · 数学 2024-03-12 Namhoon Cho , Hyo-Sang Shin , Antonios Tsourdos , Davide Amato

Graph pattern matching algorithms to handle million-scale dynamic graphs are widely used in many applications such as social network analytics and suspicious transaction detections from financial networks. On the other hand, the computation…

数据库 · 计算机科学 2019-07-10 Hiroki Kanezashi , Toyotaro Suzumura , Dario Garcia-Gasulla , Min-hwan Oh , Satoshi Matsuoka

We introduce a qualitative, shape-based, timescale-independent time-domain transform used to extract local dynamics from sociotechnical time series---termed the Discrete Shocklet Transform (DST)---and an associated similarity search…

Multifractal analysis has become a powerful signal processing tool that characterizes signals or images via the fluctuations of their pointwise regularity, quantified theoretically by the so-called multifractal spectrum. The practical…

Recent years have seen a surge in data-driven surrogates for dynamical systems that can be orders of magnitude faster than numerical solvers. However, many machine learning-based models such as neural operators exhibit spectral bias,…

机器学习 · 计算机科学 2026-05-07 Xuesong Wang , Michael Groom , Rafael Oliveira , He Zhao , Terence O'Kane , Edwin V. Bonilla

The Dynamic-Mode Decomposition (DMD) is a well established data-driven method of finding temporally evolving linear-mode decompositions of nonlinear time series. Traditionally, this method presumes that all relevant dimensions are sampled…

动力系统 · 数学 2021-01-13 Christopher W. Curtis , Daniel Jay Alford-Lago

Recent advancements in deep learning have led to the development of various models for long-term multivariate time-series forecasting (LMTF), many of which have shown promising results. Generally, the focus has been on…

机器学习 · 计算机科学 2024-02-28 Shiyi Qi , Zenglin Xu , Yiduo Li , Liangjian Wen , Qingsong Wen , Qifan Wang , Yuan Qi

In a recent work Manimaran et al. [Manimaran et al., Phys. Rev. E 72, 046120 (2005)] propose to use multiresolution Daubechies (DB) wavelets to (detrend) remove the low frequency trends and subsequently to quantify the multifractal…

数据分析、统计与概率 · 物理学 2007-05-23 R. B. Govindan

Recent studies have suggested frequency-domain Data augmentation (DA) is effec tive for time series prediction. Existing frequency-domain augmentations disturb the original data with various full-spectrum noises, leading to excess domain…

机器学习 · 计算机科学 2024-05-28 Kai Zhao , Zuojie He , Alex Hung , Dan Zeng

Recent advancements in neural network-based optical flow estimation often come with prohibitively high computational and memory requirements, presenting challenges in their model adaptation for mobile and low-power use cases. In this paper,…

计算机视觉与模式识别 · 计算机科学 2023-06-12 Risheek Garrepalli , Jisoo Jeong , Rajeswaran C Ravindran , Jamie Menjay Lin , Fatih Porikli

Recently the statistical characterizations of financial markets based on physics concepts and methods attract considerable attentions. We used two possible procedures of analyzing multifractal properties of a time series. The first one uses…

数据分析、统计与概率 · 物理学 2008-12-02 A. Ganchuk , V. Derbentsev , V. Soloviev

We study dynamic algorithms in the model of algorithms with predictions. We assume the algorithm is given imperfect predictions regarding future updates, and we ask how such predictions can be used to improve the running time. This can be…

数据结构与算法 · 计算机科学 2023-12-11 Jan van den Brand , Sebastian Forster , Yasamin Nazari , Adam Polak

Digital twin (DT) techniques have been proposed for the autonomous operation and lifecycle management of next-generation optical networks. To fully utilize potential capacity and accommodate dynamic services, the DT must dynamically update…

Diffusion Models (DMs) have achieved state-of-the-art generative performance across multiple modalities, yet their sampling process remains prohibitively slow due to the need for hundreds of function evaluations. Recent progress in…

计算机视觉与模式识别 · 计算机科学 2026-03-13 Tong Zhao , Mingkun Lei , Liangyu Yuan , Yanming Yang , Chenxi Song , Yang Wang , Beier Zhu , Chi Zhang

While most time series are non-stationary, it is inevitable for models to face the distribution shift issue in time series forecasting. Existing solutions manipulate statistical measures (usually mean and std.) to adjust time series…

机器学习 · 计算机科学 2024-07-02 Wei Fan , Kun Yi , Hangting Ye , Zhiyuan Ning , Qi Zhang , Ning An

Long-term time series forecasting is critical in domains such as finance, economics, and energy, where accurate and reliable predictions over extended horizons drive strategic decision-making. Despite the progress in machine learning-based…

机器学习 · 计算机科学 2025-02-18 Aditya Dey , Jonas Kusch , Fadi Al Machot

Multivariate time series prediction has applications in a wide variety of domains and is considered to be a very challenging task, especially when the variables have correlations and exhibit complex temporal patterns, such as seasonality…

机器学习 · 计算机科学 2020-01-07 Yuya Jeremy Ong , Mu Qiao , Divyesh Jadav