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Many recent methods for unsupervised or self-supervised representation learning train feature extractors by maximizing an estimate of the mutual information (MI) between different views of the data. This comes with several immediate…

机器学习 · 计算机科学 2020-01-24 Michael Tschannen , Josip Djolonga , Paul K. Rubenstein , Sylvain Gelly , Mario Lucic

This paper addresses the problem of full model estimation for non-parametric finite mixture models. It presents an approach for selecting the number of components and the subset of discriminative variables (i.e., the subset of variables…

统计理论 · 数学 2021-12-13 Marie Du Roy de Chaumaray , Matthieu Marbac

We present general principles for the design and analysis of unbiased Monte Carlo estimators in a wide range of settings. Our estimators posses finite work-normalized variance under mild regularity conditions. We apply our estimators to…

统计理论 · 数学 2019-04-23 Jose H. Blanchet , Peter W. Glynn , Yanan Pei

For linear time-invariant systems with uncertain parameters belonging to a finite set, we present a purely deterministic approach to multiple-model estimation and propose an algorithm based on the minimax criterion using constrained…

最优化与控制 · 数学 2022-07-18 Olle Kjellqvist , Anders Rantzer

Continuous monitoring is becoming more popular due to its significant benefits, including reducing sample sizes and reaching earlier conclusions. In general, it involves monitoring nuisance parameters (e.g., the variance of outcomes) until…

统计理论 · 数学 2025-07-31 Long-Hao Xu , Tim Friede

It is well-known that trimmed sample means are robust against heavy tails and data contamination. This paper analyzes the performance of trimmed means and related methods in two novel contexts. The first one consists of estimating…

统计理论 · 数学 2025-12-03 Roberto I. Oliveira , Lucas Resende

In this note, we derive bounds on the median bias of univariate M-estimators under mild regularity conditions. These requirements are not sufficient to imply convergence in distribution of the M-estimators. We also discuss median bias of…

统计理论 · 数学 2021-06-02 Arun Kumar Kuchibhotla

Restricted maximum likelihood (REML) estimation is a widely accepted and frequently used method for fitting linear mixed models, with its principal advantage being that it produces less biased estimates of the variance components. However,…

统计方法学 · 统计学 2025-05-15 Luca Maestrini , Francis K. C. Hui , Alan H. Welsh

In the linear random effects model, when distributional assumptions such as normality of the error variables cannot be justified, moments may serve as alternatives to describe relevant distributions in neighborhoods of their means.…

统计理论 · 数学 2012-03-05 Ping Wu , Winfried Stute , Li-Xing Zhu

Multiple importance sampling (MIS) is an increasingly used methodology where several proposal densities are used to approximate integrals, generally involving target probability density functions. The use of several proposals allows for a…

统计理论 · 数学 2022-07-12 Rahul Mukerjee , Víctor Elvira

This article focuses on making discrete-time Adaptive Iterative Learning Control (ILC) more effective using multiple estimation models. Existing strategies use the tracking error to adjust the parametric estimates. Our strategy uses the…

系统与控制 · 电气工程与系统科学 2024-06-14 Ram Padmanabhan , Rajini Makam , Koshy George

Classifying samples in incomplete datasets is a common aim for machine learning practitioners, but is non-trivial. Missing data is found in most real-world datasets and these missing values are typically imputed using established methods,…

Recently, there has been a trend of evaluating the Large Language Model (LLM) quality in the flavor of LLM-as-a-Judge, namely leveraging another LLM to evaluate the current output quality. However, existing judges are proven to be biased,…

计算与语言 · 计算机科学 2024-09-26 Hongli Zhou , Hui Huang , Yunfei Long , Bing Xu , Conghui Zhu , Hailong Cao , Muyun Yang , Tiejun Zhao

Model-assisted estimators have attracted a lot of attention in the last three decades. These estimators attempt to make an efficient use of auxiliary information available at the estimation stage. A working model linking the survey variable…

统计方法学 · 统计学 2022-08-23 Mehdi Dagdoug , Camelia Goga , David Haziza

This paper addresses the problem of providing robust estimators under a functional logistic regression model. Logistic regression is a popular tool in classification problems with two populations. As in functional linear regression,…

统计方法学 · 统计学 2023-08-16 Graciela Boente , Marina Valdora

We present a general framework for studying regularized estimators; such estimators are pervasive in estimation problems wherein "plug-in" type estimators are either ill-defined or ill-behaved. Within this framework, we derive, under…

统计理论 · 数学 2020-07-14 Michael Jansson , Demian Pouzo

Additive regression models have a long history in multivariate nonparametric regression. They provide a model in which each regression function depends only on a single explanatory variable allowing to obtain estimators at the optimal…

统计方法学 · 统计学 2015-09-16 Graciela Boente , Alejandra Martinez

Consider the problem of joint parameter estimation and prediction in a Markov random field: i.e., the model parameters are estimated on the basis of an initial set of data, and then the fitted model is used to perform prediction (e.g.,…

机器学习 · 计算机科学 2007-07-13 Martin J. Wainwright

The problem of estimating a proportion of objects with particular attribute in a finite population is considered. This paper shows an example of the application of estimation fraction using new proposed sample allocation in a population…

应用统计 · 统计学 2019-03-19 Dominik Sieradzki , Wojciech Zieliński

In semi-supervised learning, the prevailing understanding suggests that observing additional unlabeled samples improves estimation accuracy for linear parameters only in the case of model misspecification. In this work, we challenge such a…

统计方法学 · 统计学 2025-09-03 Kai Chen , Yuqian Zhang