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Related papers: A Correction of Pseudo Log-Likelihood Method

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Estimating statistical models within sensor networks requires distributed algorithms, in which both data and computation are distributed across the nodes of the network. We propose a general approach for distributed learning based on…

Machine Learning · Computer Science 2012-07-03 Qiang Liu , Alexander Ihler

The saddlepoint approximation to the likelihood, and its corresponding maximum likelihood estimate (MLE), offer an alternative estimation method when the true likelihood is intractable or computationally expensive. However, maximizing this…

Methodology · Statistics 2025-04-11 Godrick Oketch , Rachel M. Fewster , Jesse Goodman

This short note is to point the reader to notice that the proof of high dimensional asymptotic normality of MLE estimator for logistic regression under the regime $p_n=o(n)$ given in paper: "Maximum likelihood estimation in logistic…

Statistics Theory · Mathematics 2018-01-29 Huiming Zhang

Data augmentation has been widely used to improve deep neural networks in many research fields, such as computer vision. However, less work has been done in the context of text, partially due to its discrete nature and the complexity of…

Computation and Language · Computer Science 2021-01-12 Ping Yu , Ruiyi Zhang , Yang Zhao , Yizhe Zhang , Chunyuan Li , Changyou Chen

Empirical economic research frequently applies maximum likelihood estimation in cases where the likelihood function is analytically intractable. Most of the theoretical literature focuses on maximum simulated likelihood (MSL) estimators,…

Econometrics · Economics 2019-08-13 Michael Griebel , Florian Heiss , Jens Oettershagen , Constantin Weiser

In many spatial and spatial-temporal models, and more generally in models with complex dependencies, it may be too difficult to carry out full maximum likelihood (ML) analysis. Remedies include the use of pseudo-likelihood (PL) and…

Methodology · Statistics 2026-04-24 Nils Lid Hjort , Cristiano Varin

Determinantal point processes (DPPs) have wide-ranging applications in machine learning, where they are used to enforce the notion of diversity in subset selection problems. Many estimators have been proposed, but surprisingly the basic…

Statistics Theory · Mathematics 2017-07-25 Victor-Emmanuel Brunel , Ankur Moitra , Philippe Rigollet , John Urschel

Recently maximum pseudo-likelihood (MPL) inference method has been successfully applied to statistical physics models with intractable likelihoods. We use information theory to derive a relation between the pseudo-likelihood and likelihood…

Disordered Systems and Neural Networks · Physics 2015-06-18 Alexander Mozeika , Onur Dikmen , Joonas Piili

The problem of mobile position estimation in multipath scenarios is addressed. A low-complexity, fully-adaptive algorithm is proposed, based on the pseudo maximum likelihood approach. The processing is done exclusively on-board at the…

Signal Processing · Electrical Eng. & Systems 2019-02-12 Alessio Fascista , Angelo Coluccia , Giuseppe Ricci

For a multinomial distribution, suppose that we have prior knowledge of the sum of the probabilities of some categories. This allows us to construct a submodel in a full (i.e., no-restriction) model. Maximum likelihood estimation (MLE)…

Statistics Theory · Mathematics 2021-06-07 Yo Sheena

We consider the problem of estimating the joint distribution function of the event time and a continuous mark variable based on censored data. More specifically, the event time is subject to current status censoring and the continuous mark…

Statistics Theory · Mathematics 2011-09-07 Piet Groeneboom , Geurt Jongbloed , Birgit Witte

We study maximum likelihood estimation (MLE) in the generalized group orbit recovery model, where each observation is generated by applying a random group action and a known, fixed linear operator to an unknown signal, followed by additive…

Statistics Theory · Mathematics 2025-09-30 Sheng Xu , Anderson Ye Zhang , Amit Singer

The restricted maximum likelihood method enhances popularity of maximum likelihood methods for variance component analysis on large scale unbalanced data. As the high throughput biological data sets and the emerged science on uncertainty…

Computation · Statistics 2018-05-15 Shengxin Zhu , Andrew J Wathen

This paper presents a robust alternative to the Maximum Likelihood Estimator (MLE) for the Polytomous Logistic Regression Model (PLRM), known as the family of minimum R\`enyi Pseudodistance (RP) estimators. The proposed minimum RP…

Methodology · Statistics 2024-02-06 Elena Castilla

This paper proposes and analyzes a new method for quantum state estimation, called hedged maximum likelihood (HMLE). HMLE is a quantum version of Lidstone's Law, also known as the "add beta" rule. A straightforward modification of maximum…

Quantum Physics · Physics 2010-11-11 Robin Blume-Kohout

Much of the theory of estimation for exponential family models, which include exponential-family random graph models (ERGMs) as a special case, is well-established and maximum likelihood estimates in particular enjoy many desirable…

Computation · Statistics 2020-09-07 Christian S. Schmid , David R. Hunter

Reinforcement learning is the method of choice to train models in sampling-based setups with binary outcome feedback, such as navigation, code generation, and mathematical problem solving. In such settings, models implicitly induce a…

This paper introduces a new biased estimator for the negative binomial regression model that is a generalization of Liu-type estimator proposed for the linear model in [12]. Since the variance of the maximum likelihood estimator (MLE) is…

Methodology · Statistics 2016-04-11 Yasin Asar

Filtering and parameter estimation under partial information for multiscale problems is studied in this paper. After proving mean square convergence of the nonlinear filter to a filter of reduced dimension, we establish that the conditional…

Probability · Mathematics 2014-09-09 Andrew Papanicolaou , Konstantinos Spiliopoulos

Skew normal mixture models provide a more flexible framework than the popular normal mixtures for modelling heterogeneous data with asymmetric behaviors. Due to the unboundedness of likelihood function and the divergency of shape…

Methodology · Statistics 2016-08-05 Libin Jin , Wangli Xu , Liping Zhu , Lixing Zhu