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In this paper, we study estimation of nonlinear models with cross sectional data using two-step generalized estimating equations (GEE) in the quasi-maximum likelihood estimation (QMLE) framework. In the interest of improving efficiency, we…

计量经济学 · 经济学 2018-10-16 Cuicui Lu , Weining Wang , Jeffrey M. Wooldridge

Model-based clustering approaches concern the paradigm of exploratory data analysis relying on the finite mixture model to automatically find a latent structure governing observed data. They are one of the most popular and successful…

统计方法学 · 统计学 2014-04-29 Faicel Chamroukhi

This paper shows how the Bayesian network paradigm can be used in order to solve combinatorial optimization problems. To do it some methods of structure learning from data and simulation of Bayesian networks are inserted inside Estimation…

人工智能 · 计算机科学 2013-01-18 Pedro Larrañaga , Ramon Etxeberria , Jose A. Lozano , Jose M. Pena

We give convergence guarantees for estimating the coefficients of a symmetric mixture of two linear regressions by expectation maximization (EM). In particular, we show that the empirical EM iterates converge to the target parameter vector…

机器学习 · 统计学 2018-10-17 Jason M. Klusowski , Dana Yang , W. D. Brinda

Integrating probability and non-probability samples is increasingly important, yet unknown sampling mechanisms in non-probability sources complicate identification and efficient estimation. We develop semiparametric theory for dual-frame…

统计方法学 · 统计学 2026-01-14 Kosuke Morikawa , Jae Kwang Kim

The Stochastic Approximation EM (SAEM) algorithm, a variant stochastic approximation of EM, is a versatile tool for inference in incomplete data models. In this paper, we review the fundamental EM algorithm and then focus especially on the…

统计方法学 · 统计学 2018-11-30 Vahid Tadayon

Linear mixed models (LMMs) are used extensively to model dependecies of observations in linear regression and are used extensively in many application areas. Parameter estimation for LMMs can be computationally prohibitive on big data.…

机器学习 · 统计学 2019-03-08 Zilong Tan , Kimberly Roche , Xiang Zhou , Sayan Mukherjee

In this age of Big Data, machine learning based data mining methods are extensively used to inspect large scale data sets. Deriving applicable predictive modeling from these type of data sets is a challenging obstacle because of their high…

机器学习 · 计算机科学 2015-04-14 Ferhat Özgür Çatak

Power System State Estimation (PSSE) has been a research area of interest for power engineers for a long period of time. Due to the intermittent nature of renewable energy sources, which are applied in the power network more than before,…

系统与控制 · 电气工程与系统科学 2021-01-08 Sajjad Asefi , Sergei Parsegov , Elena Gryazina

Differential equations (DEs) are commonly used to describe dynamic systems evolving in one (ordinary differential equations or ODEs) or in more than one dimensions (partial differential equations or PDEs). In real data applications the…

统计方法学 · 统计学 2013-11-25 Gianluca Frasso , Jonathan Jaeger , Philippe Lambert

We analyze the statistical performance of identification of stochastic dynamical systems with non-linear measurement sensors. This includes stochastic Wiener systems, with linear dynamics, process noise and measured by a non-linear sensor…

最优化与控制 · 数学 2018-05-24 Bo Wahlberg , Lennart Ljung

Two major ideas in the analysis of missing data are (a) the EM algorithm [Dempster, Laird and Rubin, J. Roy. Statist. Soc. Ser. B 39 (1977) 1--38] for maximum likelihood (ML) estimation, and (b) the formulation of models for the joint…

统计方法学 · 统计学 2011-04-14 Yan Zhou , Roderick J. A. Little , John D. Kalbfleisch

Estimating the ratio of two probability densities from a finite number of observations is a central machine learning problem. A common approach is to construct estimators using binary classifiers that distinguish observations from the two…

机器学习 · 计算机科学 2025-01-28 Werner Zellinger

This paper focuses on the system identification of an important class of nonlinear systems: linearly parameterized nonlinear systems, which enjoys wide applications in robotics and other mechanical systems. We consider two system…

系统与控制 · 电气工程与系统科学 2024-11-22 Negin Musavi , Ziyao Guo , Geir Dullerud , Yingying Li

Robust inferential methods based on divergences measures have shown an appealing trade-off between efficiency and robustness in many different statistical models. In this paper, minimum density power divergence estimators (MDPDEs) for the…

统计理论 · 数学 2023-12-06 A. Felipe , M. Jaenada , P. Miranda , L. Pardo

Phasor measurement units ({PMUs}) have become instrumental in modern power systems for enabling real-time, wide-area monitoring and control. Accordingly, many studies have investigated efficient and robust dynamic state estimation (DSE)…

系统与控制 · 电气工程与系统科学 2023-01-02 Sebastian Nugroho , Ahmad Taha , Nikolaos Gatsis , Junbo Zhao

In Divide & Recombine (D&R), big data are divided into subsets, each analytic method is applied to subsets, and the outputs are recombined. This enables deep analysis and practical computational performance. An innovate D\&R procedure is…

统计方法学 · 统计学 2018-01-17 Qi Liu , Anindya Bhadra , William S. Cleveland

In the last few years, Artificial Intelligence systems have become increasingly widespread. Unfortunately, these systems can share many biases with human decision-making, including demographic biases. Often, these biases can be traced back…

计算机视觉与模式识别 · 计算机科学 2024-11-27 Iris Dominguez-Catena , Daniel Paternain , Mikel Galar

The EM-algorithm is a general procedure to get maximum likelihood estimates if part of the observations on the variables of a network are missing. In this paper a stochastic version of the algorithm is adapted to probabilistic neural…

人工智能 · 计算机科学 2013-03-26 Gerhard Paass

Generating interpretable visualizations from complex data is a common problem in many applications. Two key ingredients for tackling this issue are clustering and representation learning. However, current methods do not yet successfully…

机器学习 · 计算机科学 2020-06-11 Laura Manduchi , Matthias Hüser , Julia Vogt , Gunnar Rätsch , Vincent Fortuin