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We consider a randomised implementation of the finite element method (FEM) for elliptic partial differential equations on high-dimensional models. This is motivated by applications where model predictions are essential for real-time process…

数值分析 · 数学 2019-07-30 Yue Wu , Dimitris Kamilis , Nick Polydorides

Time series data is a prevalent form of data found in various fields. It consists of a series of measurements taken over time. Forecasting is a crucial application of time series models, where future values are predicted based on historical…

机器学习 · 计算机科学 2025-09-23 Sahar Koohfar , Wubeshet Woldemariam

Dynamic Mode Decomposition (DMD) is an unsupervised machine learning method that has attracted considerable attention in recent years owing to its equation-free structure, ability to easily identify coherent spatio-temporal structures in…

机器学习 · 计算机科学 2022-02-16 Alex Viguerie , Gabriel F. Barros , Malú Grave , Alessandro Reali , Alvaro L. G. A. Coutinho

Model order reduction (MOR) has long been a mainstream strategy to accelerate large-scale transient circuit simulation. Dynamic Mode Decomposition (DMD) represents a novel data-driven characterization method, extracting dominant dynamical…

信号处理 · 电气工程与系统科学 2025-08-06 Na Liu , Chengliang Dai , Qiuyue Wu , Qiuqi Li , Guoxiong Cai

The significant fluctuations in stock index prices in recent years highlight the critical need for accurate forecasting to guide investment and financial strategies. This study introduces a novel composite forecasting framework that…

机器学习 · 计算机科学 2024-08-30 Xiaorui Xue , Shaofang Li , Xiaonan Wang

Time-to-event models are a popular tool to analyse data where the outcome variable is the time to the occurrence of a specific event of interest. Here we focus on the analysis of time-to-event outcomes that are either intrisically discrete…

应用统计 · 统计学 2017-04-14 Moritz Berger , Matthias Schmid

This paper presents a novel non-linear model reduction method: Probabilistic Manifold Decomposition (PMD), which provides a powerful framework for constructing non-intrusive reduced-order models (ROMs) by embedding a high-dimensional system…

数值分析 · 数学 2026-01-09 Jiaming Guo , Dunhui Xiao

Predicting a driver's cognitive state, or more specifically, modeling a driver's reaction time (RT) in response to the appearance of a potential hazard warrants urgent research. In the last two decades, the electric field that is generated…

人机交互 · 计算机科学 2019-05-28 Chun-Hsiang Chuang , Zehong Cao , Po-Tsang Chen , Chih-Sheng Huang , Nikhil R. Pal , Chin-Teng Lin

Modal decomposition techniques are important tools for the analysis of unsteady flows and, in order to provide meaningful insights with respect to coherent structures and their characteristic frequencies, the modes must possess a robust…

流体动力学 · 物理学 2023-08-24 Lucas F. de Souza , Renato F. Miotto , William R. Wolf

Understanding how conflict events spread over time and space is crucial for predicting and mitigating future violence. However, progress in this area has been limited by the lack of methods capable of capturing the intricate, dynamic…

应用统计 · 统计学 2026-04-24 Thomas Schincariol

Accurate forecasts of macroeconomic and financial data, such as GDP, CPI, unemployment rates, and stock indices, are crucial for the success of countries, businesses, and investors, resulting in a constant demand for reliable forecasting…

统计方法学 · 统计学 2025-10-27 Tomasz M. Łapiński , Krzysztof Ziółkowski

This work introduces a new method for selecting the number of components in finite mixture models (FMMs) using variational Bayes, inspired by the large-sample properties of the Evidence Lower Bound (ELBO) derived from mean-field (MF)…

统计方法学 · 统计学 2026-04-23 Chenyang Wang , Yun Yang

Time series forecasting represents a significant and challenging task across various fields. Recently, methods based on mode decomposition have dominated the forecasting of complex time series because of the advantages of capturing local…

统计方法学 · 统计学 2023-11-30 Zhengtao Gui , Haoyuan Li , Sijie Xu , Yu Chen

Objective: To improve prediction of Chronic Kidney Disease (CKD) progression to End Stage Renal Disease (ESRD) using machine learning (ML) and deep learning (DL) models applied to an integrated clinical and claims dataset of varying…

定量方法 · 定量生物学 2025-05-06 Yubo Li , Rema Padman

Traditional visual place recognition (VPR) methods generally use frame-based cameras, which is easy to fail due to dramatic illumination changes or fast motions. In this paper, we propose an end-to-end visual place recognition network for…

计算机视觉与模式识别 · 计算机科学 2020-11-09 Delei Kong , Zheng Fang , Haojia Li , Kuanxu Hou , Sonya Coleman , Dermot Kerr

Ensembling is a powerful technique for improving the accuracy of machine learning models, with methods like stacking achieving strong results in tabular tasks. In time series forecasting, however, ensemble methods remain underutilized, with…

机器学习 · 计算机科学 2025-11-20 Nathanael Bosch , Oleksandr Shchur , Nick Erickson , Michael Bohlke-Schneider , Caner Türkmen

Differential equations are pivotal in modeling and understanding the dynamics of various systems, offering insights into their future states through parameter estimation fitted to time series data. In fields such as economy, politics, and…

机器学习 · 统计学 2024-04-24 Hyeontae Jo , Sung Woong Cho , Hyung Ju Hwang

We revisit the classical problem of estimating an unknown distribution from its samples by fitting a mixture model that minimizes cross-entropy loss. Framing the task as a stochastic convex optimization problem over the space of $ M…

机器学习 · 统计学 2026-05-26 Mohammadreza Ahmadypour , Tara Javidi , Farinaz Koushanfar

The framework of dominant learned video compression methods is usually composed of motion prediction modules as well as motion vector and residual image compression modules, suffering from its complex structure and error propagation…

图像与视频处理 · 电气工程与系统科学 2021-04-14 Zhenhong Sun , Zhiyu Tan , Xiuyu Sun , Fangyi Zhang , Dongyang Li , Yichen Qian , Hao Li

Delayed outcomes are ubiquitous in online experimentation. When such a temporal dimension is present, treatment influences not only the outcome value but also the outcome timing, which can move in opposite directions. Motivated by the…

统计方法学 · 统计学 2026-03-30 Michael Lindon , Nathan Kallus