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The difference-in-differences (DID) design is widely used in observational studies to estimate the causal effect of a treatment when repeated observations over time are available. Yet, almost all existing methods assume linearity in the…

应用统计 · 统计学 2020-09-29 Soichiro Yamauchi

Natural systems are typically nonlinear and complex, and it is of great interest to be able to reconstruct a system in order to understand its mechanism, which can not only recover nonlinear behaviors but also predict future dynamics. Due…

混沌动力学 · 物理学 2017-11-03 Huanfei Ma , Siyang Leng , Luonan Chen

The problem of state estimation has a long history with many successful algorithms that allow analytical derivation or approximation of posterior filtering distribution given the noisy observations. This report tries to conclude previous…

机器学习 · 计算机科学 2025-01-06 Nikita Kostin

Categorical response data are ubiquitous in complex survey applications, yet few methods model the dependence across different outcome categories when the response is ordinal. Likewise, few methods exist for the common combination of a…

统计方法学 · 统计学 2025-02-24 Daniel Vedensky , Paul A. Parker , Scott H. Holan

Offline reinforcement learning (RL) refers to the problem of learning policies from a static dataset of environment interactions. Offline RL enables extensive use and re-use of historical datasets, while also alleviating safety concerns…

机器学习 · 计算机科学 2020-12-22 Rafael Rafailov , Tianhe Yu , Aravind Rajeswaran , Chelsea Finn

Parameter estimation of nonlinear state-space models from input-output data typically requires solving a highly non-convex optimization problem prone to slow convergence and suboptimal solutions. This work improves the reliability and…

信号处理 · 电气工程与系统科学 2026-02-27 Merijn Floren , Jan Swevers

The identification of a nonlinear dynamic model is an open topic in control theory, especially from sparse input-output measurements. A fundamental challenge of this problem is that very few to zero prior knowledge is available on both the…

系统与控制 · 电气工程与系统科学 2022-06-13 Steeven Janny , Quentin Possamai , Laurent Bako , Madiha Nadri , Christian Wolf

Despite the widespread use of ordinal measures in HCI, such as Likert-items, there is little consensus among HCI researchers on the statistical methods used for analysing such data. Both parametric and non-parametric methods have been…

统计方法学 · 统计学 2026-02-24 Brandon Victor Syiem , Eduardo Velloso

This paper develops a data-based approach to the closed-loop output feedback control of nonlinear dynamical systems with a partial nonlinear observation model. We propose an information state based approach to rigorously transform the…

机器人学 · 计算机科学 2023-10-06 Raman Goyal , Ran Wang , Mohamed Naveed Gul Mohamed , Aayushman Sharma , Suman Chakravorty

An important class of spatio-temporal models is constructed by leveraging the hierarchical structure of dynamical (or, state-space) models. This paper proposes a new statistical dynamical model for spatio-temporal processes motivated by…

统计方法学 · 统计学 2026-05-11 Yutong Zhang , Xiao Liu

This paper deals with the problem of estimating the state of a linear time-invariant system in the presence of sporadically available measurements and external perturbations. An observer with a continuous intersample injection term is…

系统与控制 · 计算机科学 2020-11-06 Francesco Ferrante , Frédéric Gouaisbaut , Ricardo G. Sanfelice , Sophie Tarbouriech

State-space models (SSMs) offer a powerful framework for dynamical system analysis, wherein the temporal dynamics of the system are assumed to be captured through the evolution of the latent states, which govern the values of the…

机器学习 · 统计学 2024-12-17 Jiahe Lin , George Michailidis

For model-based estimation methods, the modeling that is as close to reality as possible makes a vital estimation result. In simple applications, it is sufficient to model a system with a single state space model. However, there are…

系统与控制 · 电气工程与系统科学 2022-07-12 Sebastian Dingler

Stochastic processes defined on integer valued state spaces are popular within the physical and biological sciences. These models are necessary for capturing the dynamics of small systems where the individual nature of the populations…

机器学习 · 统计学 2024-04-15 Luke O'Loughlin , John Maclean , Andrew Black

For public health programs with limited resources, the ability to predict how behaviors change over time and in response to interventions is crucial for deciding when and to whom interventions should be allocated. Using data from a…

机器学习 · 计算机科学 2024-09-05 Roderick Seow , Yunfan Zhao , Duncan Wood , Milind Tambe , Cleotilde Gonzalez

Ordinal outcomes are common in clinical settings where they often represent increasing levels of disease progression or different levels of functional impairment. Such outcomes can characterize differences in meaningful patient health…

统计方法学 · 统计学 2025-08-29 Zhiqiang Cao , Scott Zuo , Mary Ryan Baumann , Kendra Plourde , Patrick Heagerty , Guangyu Tong , Fan Li

The task of state estimation in active distribution systems faces a major challenge due to the integration of different measurements with multiple reporting rates. As a result, distribution systems are essentially unobservable in real time,…

最优化与控制 · 数学 2024-05-13 J. G. De la Varga , S. Pineda , J. M. Morales , Á. Porras

The longitudinal process that leads to university student drop out in STEM subjects can be described by referring to a) inter-individual differences (e.g., cognitive abilities) as well as b) intra-individual changes (e.g., affective…

统计方法学 · 统计学 2025-01-08 Augustin Kelava , Pascal Kilian , Judith Glaesser , Samuel Merk , Holger Brandt

Order is one of the main instruments to measure the relationship between objects in (empirical) data. However, compared to methods that use numerical properties of objects, the amount of ordinal methods developed is rather small. One reason…

人工智能 · 计算机科学 2023-12-29 Gerd Stumme , Dominik Dürrschnabel , Tom Hanika

Digital controller design for nonlinear systems may be complicated by the fact that an exact discrete-time plant model is not known. One existing approach employs approximate discrete-time models for stability analysis and control design,…

系统与控制 · 计算机科学 2018-03-28 A. J. Vallarella , H. Haimovich