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In empirical studies with time-to-event outcomes, investigators often leverage observational data to conduct causal inference on the effect of exposure when randomized controlled trial data is unavailable. Model misspecification and lack of…

统计方法学 · 统计学 2023-05-05 Shenbo Xu , Bang Zheng , Bowen Su , Stan Finkelstein , Roy Welsch , Kenney Ng , Ioanna Tzoulaki , Zach Shahn

We propose an experimental study of adaptive time-stepping methods for efficient modeling of the aggregation-fragmentation kinetics. Precise modeling of this phenomena usually requires utilization of the large systems of nonlinear ordinary…

数值分析 · 数学 2025-01-20 Sergey A. Matveev , Viktor Zhilin , Alexander P. Smirnov

This article proposes a Model Reference Adaptive Control (MRAC) strategy to achieve fixed-time convergence of parameter estimation and tracking errors for unknown linear time-invariant systems, without relying on the persistence of…

系统与控制 · 电气工程与系统科学 2026-04-23 Chayan Kumar Paul , Krishanu Nath , Indra Narayan Kar , Denis Efimov , Rosane Ushirobira

Flexible modelling of the autocovariance function (ACF) is central to time-series, spatial, and spatio-temporal analysis. Modern applications often demand flexibility beyond classical parametric models, motivating non-parametric…

统计方法学 · 统计学 2025-06-30 Lachlan Astfalck

Functional principal component analysis has been shown to be invaluable for revealing variation modes of longitudinal outcomes, which serves as important building blocks for forecasting and model building. Decades of research have advanced…

统计方法学 · 统计学 2024-10-07 Peijun Sang , Dehan Kong , Shu Yang

Many important questions in infectious disease epidemiology involve the effects of covariates (e.g., age or vaccination status) on infectiousness and susceptibility, which can be measured in studies of transmission in households or other…

应用统计 · 统计学 2025-06-27 Yushuf Sharker , Zaynab Diallo , Wasiur R. KhudaBukhsh , Eben Kenah

Discrete-time hazard models are widely used when event times are measured in intervals or are not precisely observed. While these models can be estimated using standard generalized linear model techniques, they rely on extensive data…

统计方法学 · 统计学 2025-07-14 Benjamin Müller , Nikolaus Umlauf , Johannes Seiler , Kenneth Harttgen , Stefan Lang

We describe the large-time moment asymptotics for the parabolic Anderson model where the speed of the diffusion is coupled with time, inducing an acceleration or deceleration. We find a lower critical scale, below which the mass flow gets…

概率论 · 数学 2010-10-19 Wolfgang Konig , Sylvia Schmidt

World foundation models, which simulate the physical world by predicting future states from current observations and inputs, have become central to many applications in physical intelligence, including autonomous driving and robotics.…

计算机视觉与模式识别 · 计算机科学 2025-08-11 Wenyan Cong , Hanqing Zhu , Peihao Wang , Bangya Liu , Dejia Xu , Kevin Wang , David Z. Pan , Yan Wang , Zhiwen Fan , Zhangyang Wang

Frailty models are often the model of choice for heterogeneous survival data. A frailty model contains both random effects and fixed effects, with the random effects accommodating for the correlation in the data. Different estimation…

统计方法学 · 统计学 2019-09-17 Oodally Ajmal , Luc Duchateau , Estelle Kuhn

Kernel-based multi-marker tests for survival outcomes use primarily the Cox model to adjust for covariates. The proportional hazards assumption made by the Cox model could be unrealistic, especially in the long-term follow-up. We develop a…

统计方法学 · 统计学 2024-01-19 Chenxi Li , Di Wu , Qing Lu

Density Functional Theory (DFT) is widely used for atomistic simulations. However, its reach stays limited due to several limitations such as lack of accurate exchange-correlation functional, requirement of costly O(N 3) diagonalization…

Mixtures of linear mixed models are widely used for modelling longitudinal data for which observation times differ between subjects. In typical applications, temporal trends are described using a basis expansion, with basis coefficients…

统计方法学 · 统计学 2025-11-25 Lucas Kock , Nadja Klein , David J. Nott

This paper introduces a prognostic method called FLASH that addresses the problem of joint modelling of longitudinal data and censored durations when a large number of both longitudinal and time-independent features are available. In the…

Multivariate time series (MTS) analysis prevails in real-world applications such as finance, climate science and healthcare. The various self-attention mechanisms, the backbone of the state-of-the-art Transformer-based models, efficiently…

机器学习 · 计算机科学 2023-11-21 Quang Minh Nguyen , Lam M. Nguyen , Subhro Das

Estimating the covariance of asset returns, i.e., the risk model, is a key component of financial portfolio construction and evaluation. Most risk modeling approaches produce a factor model that decomposes the asset variability into two…

Recent advances in causal mediation analysis have formalized conditions for estimating direct and indirect effects in various contexts. These approaches have been extended to a number of models for survival outcomes including accelerated…

统计方法学 · 统计学 2017-01-11 Isabel R. Fulcher , Eric Tchetgen Tchetgen , Paige L. Williams

Time series foundation models (FMs) have emerged as a popular paradigm for zero-shot multi-domain forecasting. These models are trained on numerous diverse datasets and claim to be effective forecasters across multiple different time series…

风险管理 · 定量金融 2025-05-19 Anubha Goel , Puneet Pasricha , Martin Magris , Juho Kanniainen

We develop a method for hybrid analyses that uses external controls to augment internal control arms in randomized controlled trials (RCT) where the degree of borrowing is determined based on similarity between RCT and external control…

统计方法学 · 统计学 2023-05-11 Evan Kwiatkowski , Jiawen Zhu , Xiao Li , Herbert Pang , Grazyna Lieberman , Matthew A. Psioda

Recently, frequency transformation (FT) has been increasingly incorporated into deep learning models to significantly enhance state-of-the-art accuracy and efficiency in time series analysis. The advantages of FT, such as high efficiency…

机器学习 · 计算机科学 2025-06-16 Kun Yi , Qi Zhang , Wei Fan , Longbing Cao , Shoujin Wang , Guodong Long , Liang Hu , Hui He , Qingsong Wen , Hui Xiong
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