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This paper describes a state estimation approach for non-causal time-varying linear descriptor equations with uncertain parameters. The uncertainty in the state equation and in the measurements is supposed to admit a set-membership…

最优化与控制 · 数学 2010-03-16 Sergiy Zhuk

This paper considers nonparametric regression from strongly mixing observations. The proposed approach is based on deep neural networks with minimum error entropy (MEE) principle. We study two estimators: the non-penalized deep neural…

机器学习 · 统计学 2026-03-13 William Kengne , Modou Wade

Recent advances in the fields of robotics and automation have spurred significant interest in robust state estimation. To enable robust state estimation, several methodologies have been proposed. One such technique, which has shown…

信号处理 · 电气工程与系统科学 2019-10-15 Ryan M. Watson , Jason N. Gross , Clark N. Taylor , Robert C. Leishman

Missing data and noisy observations pose significant challenges for reliably predicting events from irregularly sampled multivariate time series (longitudinal) data. Imputation methods, which are typically used for completing the data prior…

机器学习 · 统计学 2017-08-17 Hossein Soleimani , James Hensman , Suchi Saria

Estimating longitudinal treatment effects is essential for sequential decision-making but is challenging due to treatment-confounder feedback. While Iterative Conditional Expectation (ICE) G-computation offers a principled approach, its…

机器学习 · 计算机科学 2026-02-16 Wenxin Chen , Weishen Pan , Kyra Gan , Fei Wang

Optimization-based state estimation is useful for handling of constrained linear or nonlinear dynamical systems. It has an ideal form, known as full information estimation (FIE) which uses all past measurements to perform state estimation,…

最优化与控制 · 数学 2022-03-29 Wuhua Hu

Dynamic event prediction, using joint modeling of survival time and longitudinal variables, is extremely useful in personalized medicine. However, the estimation of joint models including many longitudinal markers is still a computational…

统计方法学 · 统计学 2024-12-13 Reza Hashemi , Taban Baghfalaki , Viviane Philipps , Helene Jacqmin-Gadda

We introduce the spatial disorder-generalized Langevin equation (SD-GLE), a data-driven method for constructing coarse-grained (CG) dynamics in heterogeneous systems. Unlike conventional CG approaches that rely on a mean-field potential,…

计算物理 · 物理学 2026-04-21 Chuyi Liu , Yifeng Guan , Jingyuan Li , Mao Su

Using the concept of the geometric measures of redundance and irrelevance tradeoff exponent (RITE)}, we present a new method to determine suitable delay times for continuous systems. After applying the RITE algorithm to both simulation and…

混沌动力学 · 物理学 2007-05-23 Xiaodong Luo , Michael Small

Granger causality has been widely used in various application domains to capture lead-lag relationships amongst the components of complex dynamical systems, and the focus in extant literature has been on a single dynamical system. In…

机器学习 · 计算机科学 2024-02-27 Jiahe Lin , Huitian Lei , George Michailidis

Individual-specific, time-constant, random effects are often used to model dependence and/or to account for omitted covariates in regression models for longitudinal responses. Longitudinal studies have known a huge and widespread use in the…

统计方法学 · 统计学 2026-01-14 Marco Alfo' , Roberto Rocci

Structural learning of directed acyclic graphs (DAGs) or Bayesian networks has been studied extensively under the assumption that data are independent. We propose a new Gaussian DAG model for dependent data which assumes the observations…

机器学习 · 统计学 2021-07-30 Hangjian Li , Oscar Hernan Madrid Padilla , Qing Zhou

Doubly Robust (DR) estimation of treatment effect relies on an untestable assumption that is the absence of unobserved confounding. This assumption is par- ticularly problematic in the context of healthcare research, where variables like…

统计方法学 · 统计学 2026-05-07 Sahil Shikalgar , Md. Noor-E-Alam

A discrete spatial lattice can be cast as a network structure over which spatially-correlated outcomes are observed. A second network structure may also capture similarities among measured features, when such information is available.…

统计方法学 · 统计学 2024-12-17 Arjun Sondhi , Si Cheng , Ali Shojaie

Sequential multiple assignment randomized trials (SMARTs) are used to construct data-driven optimal intervention strategies for subjects based on their intervention and covariate histories in different branches of health and behavioral…

统计方法学 · 统计学 2022-04-28 Palash Ghosh , Xiaoxi Yan , Bibhas Chakraborty

This paper proposes a new robust smooth-threshold estimating equation to select important variables and automatically estimate parameters for high dimensional longitudinal data. A novel working correlation matrix is proposed to capture…

统计方法学 · 统计学 2021-11-30 Liya Fu , Jiaqi Li , You-Gan Wang

We present a new approach for estimating parameters in rational ODE models from given (measured) time series data. In typical existing approaches, an initial guess for the parameter values is made from a given search interval. Then, in a…

数学软件 · 计算机科学 2023-12-19 Oren Bassik , Yosef Berman , Soo Go , Hoon Hong , Ilia Ilmer , Alexey Ovchinnikov , Chris Rackauckas , Pedro Soto , Chee Yap

Many recent efforts center on assessing the ability of real-world evidence (RWE) generated from non-randomized, observational data to produce results compatible with those from randomized controlled trials (RCTs). One noticeable endeavor is…

统计方法学 · 统计学 2022-11-04 Bo Zhang

We consider settings in which the distribution of a multivariate random variable is partly ambiguous. We assume the ambiguity lies on the level of the dependence structure, and that the marginal distributions are known. Furthermore, a…

数理金融 · 定量金融 2020-05-27 Stephan Eckstein , Michael Kupper , Mathias Pohl

Gaussian process (GP) covariance function is proposed as a matching tool in GPMatch within a full Bayesian framework under relatively weaker causal assumptions. The matching is accomplished by utilizing GP prior covariance function to…

统计方法学 · 统计学 2019-03-18 Bin Huang , Chen Chen , Jinzhong Liu
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