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Data generated from dynamical systems with unknown dynamics enable the learning of state observers that are: robust to modeling error, computationally tractable to design, and capable of operating with guaranteed performance. In this paper,…

系统与控制 · 电气工程与系统科学 2021-06-28 Ankush Chakrabarty , Mouhacine Benosman

In this paper, I characterize the network formation process as a static game of incomplete information, where the latent payoff of forming a link between two individuals depends on the structure of the network, as well as private…

计量经济学 · 经济学 2024-04-22 Shaomin Wu

We consider the problem of learning a conditional Gaussian graphical model in the presence of latent variables. Building on recent advances in this field, we suggest a method that decomposes the parameters of a conditional Markov random…

统计方法学 · 统计学 2017-03-07 Benjamin Frot , Luke Jostins , Gil McVean

This paper proposes an adaptation mechanism for heterogeneous multi-agent systems to align the agents' internal parameters, based on enforced consensus through strong couplings. Unlike homogeneous systems, where exact consensus is…

系统与控制 · 电气工程与系统科学 2025-09-08 Hyungbo Shim , Jin Gyu Lee , B. D. O. Anderson

The paper proposes a latent variable model for binary data coming from an unobserved heterogeneous population. The heterogeneity is taken into account by replacing the traditional assumption of Gaussian distributed factors by a finite…

统计方法学 · 统计学 2010-10-13 Silvia Cagnone , Cinzia Viroli

This paper proposes a method for estimating multiple change points in panel data models with unobserved individual effects via ordinary least-squares (OLS). Typically, in this setting, the OLS slope estimators are inconsistent due to the…

计量经济学 · 经济学 2018-08-10 Otilia Boldea , Bettina Drepper , Zhuojiong Gan

We consider discrete default intensity based and logit type reduced form models for conditional default probabilities for corporate loans where we develop simple closed form approximations to the maximum likelihood estimator (MLE) when the…

计量经济学 · 经济学 2020-01-01 Anand Deo , Sandeep Juneja

Finite mixture models are useful in applied econometrics. They can be used to model unobserved heterogeneity, which plays major roles in labor economics, industrial organization and other fields. Mixtures are also convenient in dealing with…

计量经济学 · 经济学 2018-11-08 Yuichi Kitamura , Louise Laage

Quantitatively assessing relationships between latent variables and observed variables is important for understanding and developing generative models and representation learning. In this paper, we propose latent-observed dissimilarity…

机器学习 · 统计学 2016-03-31 Yasushi Terazono

Latent variable models have been widely applied in different fields of research in which the constructs of interest are not directly observable, so that one or more latent variables are required to reduce the complexity of the data. In…

统计理论 · 数学 2014-07-07 Silvia Bianconcini

Growing-dimensional data with likelihood unavailable are often encountered in various fields. This paper presents a penalized exponentially tilted likelihood (PETL) for variable selection and parameter estimation for growing dimensional…

统计理论 · 数学 2017-01-09 Nian-Sheng Tang , Xiao-Dong Yan , Pu-Ying Zhao

A systematic approach to finding variational approximation in an otherwise intractable non-conjugate model is to exploit the general principle of convex duality by minorizing the marginal likelihood that renders the problem tractable. While…

统计理论 · 数学 2020-10-27 Indrajit Ghosh , Anirban Bhattacharya , Debdeep Pati

In this paper we investigate a problem of state estimation for the dynamical system described by the linear operator equation with unknown parameters in Hilbert space. We present explicit expressions for linear minimax estimation and error…

最优化与控制 · 数学 2008-10-21 Serhiy Zhuk

The present paper proposes a new treatment effects estimator that is valid when the number of time periods is small, and the parallel trends condition holds conditional on covariates and unobserved heterogeneity in the form of interactive…

计量经济学 · 经济学 2023-06-16 Nicholas Brown , Kyle Butts , Joakim Westerlund

Many biological processes are supported by special molecules, called motor proteins or molecular motors, that transport cellular cargoes along linear protein filaments and can reversibly associate to their tracks. Stimulated by these…

统计力学 · 物理学 2021-11-17 Akriti Jindal , Anatoly B. Kolomeisky , Arvind Kumar Gupta

We study mixed models with a single grouping factor, where inference about unknown parameters requires optimizing a marginal likelihood defined by an intractable integral. Low-dimensional numerical integration techniques are regularly used…

统计方法学 · 统计学 2025-01-22 Alex Stringer , Blair Bilodeau , Yanbo Tang

This paper considers the problem of determining an optimal control action based on observed data. We formulate the problem assuming that the system can be modelled by a nonlinear state-space model, but where the model parameters, state and…

We perform approximate inference in state-space models with nonlinear state transitions. Without parameterizing a generative model, we apply Bayesian update formulas using a local linearity approximation parameterized by neural networks.…

机器学习 · 计算机科学 2022-01-26 David Ruhe , Patrick Forré

In this paper, we propose a class of low-rank panel quantile regression models which allow for unobserved slope heterogeneity over both individuals and time. We estimate the heterogeneous intercept and slope matrices via nuclear norm…

计量经济学 · 经济学 2022-10-21 Yiren Wang , Liangjun Su , Yichong Zhang

This paper studies the problem of efficient estimation of panel data models in the presence of an increasing number of incidental parameters. We formulate the dynamic panel as a simultaneous equations system, and derive the efficiency bound…

计量经济学 · 经济学 2025-06-13 Jushan Bai