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The principle of maximum entropy is a broadly applicable technique for computing a distribution with the least amount of information possible constrained to match empirical data, for instance, feature expectations. We seek to generalize…

信息论 · 计算机科学 2022-05-30 Kenneth Bogert

We propose a new distributed algorithm for computing a truncated Newton method, where the main diagonal of the Hessian is computed using belief propagation. As a case study for this approach, we examine the sensor selection problem, a…

信息论 · 计算机科学 2010-01-14 Danny Bickson , Danny Dolev

In this paper, novel closed-form point estimators of the beta distribution are proposed and investigated. The first estimators are a modified version of Pearson's method of moments. The underlying idea is to involve the sufficient…

统计理论 · 数学 2022-10-12 Piao Chen , Xun Xiao

The paper investigates the distributed estimation problem under low bit rate communications. Based on the signal-comparison (SC) consensus protocol under binary-valued communications, a new consensus+innovations type distributed estimation…

系统与控制 · 电气工程与系统科学 2025-03-25 Jieming Ke , Xiaodong Lu , Yanlong Zhao , Ji-Feng Zhang

This work aims at making a comprehensive contribution in the general area of parametric inference for discretely observed diffusion processes. Established approaches for likelihood-based estimation invoke a time-discretisation scheme for…

统计方法学 · 统计学 2024-01-30 Yuga Iguchi , Alexandros Beskos , Matthew M. Graham

We consider the problem of mean estimation assuming only finite variance. We study a new class of mean estimators constructed by integrating over random noise applied to a soft-truncated empirical mean estimator. For appropriate choices of…

统计理论 · 数学 2019-06-26 Matthew J. Holland

This paper advocates a new paradigm Personalized Empirical Risk Minimization (PERM) to facilitate learning from heterogeneous data sources without imposing stringent constraints on computational resources shared by participating devices. In…

机器学习 · 计算机科学 2023-10-30 Yuyang Deng , Mohammad Mahdi Kamani , Pouria Mahdavinia , Mehrdad Mahdavi

Paired estimation of change in parameters of interest over a population plays a central role in several application domains including those in the social sciences, epidemiology, medicine and biology. In these domains, the size of the…

机器学习 · 计算机科学 2019-12-02 Ramya Korlakai Vinayak , Weihao Kong , Sham M. Kakade

We present two classes of improved estimators for mutual information $M(X,Y)$, from samples of random points distributed according to some joint probability density $\mu(x,y)$. In contrast to conventional estimators based on binnings, they…

统计力学 · 物理学 2009-11-10 Alexander Kraskov , Harald Stoegbauer , Peter Grassberger

Linear Mixed Effects (LME) models have been widely applied in clustered data analysis in many areas including marketing research, clinical trials, and biomedical studies. Inference can be conducted using maximum likelihood approach if…

统计方法学 · 统计学 2022-11-10 Hao Chen , Lanshan Han , Alvin Lim

Parametric stochastic simulators are ubiquitous in science, often featuring high-dimensional input parameters and/or an intractable likelihood. Performing Bayesian parameter inference in this context can be challenging. We present a neural…

机器学习 · 统计学 2021-10-27 Benjamin Kurt Miller , Alex Cole , Patrick Forré , Gilles Louppe , Christoph Weniger

The paper studies the problem of distributed parameter estimation in multi-agent networks with exponential family observation statistics. A certainty-equivalence type distributed estimator of the consensus + innovations form is proposed in…

概率论 · 数学 2014-02-04 Soummya Kar , Jose Moura

This paper considers estimation and inference in semiparametric econometric models. Standard procedures estimate the model based on an independence restriction that induces a minimum distance between a joint cumulative distribution function…

统计理论 · 数学 2014-12-09 Zhengyuan Gao , Antonio Galvao

The paper introduces a new estimation method for the standard linear regression model. The procedure is not driven by the optimisation of any objective function rather, it is a simple weighted average of slopes from observation pairs. The…

计量经济学 · 经济学 2024-02-27 Felix Chan , Laszlo Matyas

Truncated conditional expectation functions are objects of interest in a wide range of economic applications, including income inequality measurement, financial risk management, and impact evaluation. They typically involve truncating the…

计量经济学 · 经济学 2021-09-14 Tomasz Olma

Given p independent normal populations, we consider the problem of estimating the mean of those populations, that based on the observed data, give the strongest signals. We explicitly condition on the ranking of the sample means, and…

统计方法学 · 统计学 2017-02-28 Claudio Fuentes , Vik Gopal

Numerous robust estimators exist as alternatives to the maximum likelihood estimator (MLE) when a completely observed ground-up loss severity sample dataset is available. However, the options for robust alternatives to MLE become…

统计方法学 · 统计学 2024-02-22 Chudamani Poudyal

We consider the problem of estimating the joint distribution of $n$ independent random variables. Our approach is based on a family of candidate probabilities that we shall call a model and which is chosen to either contain the true…

统计理论 · 数学 2021-06-01 Yannick Baraud

The statistical censoring setup is extended to the situation when random measures can be assigned to the realization of datapoints, leading to a new way of incorporating expert information into the usual parametric estimation procedures.…

统计方法学 · 统计学 2023-12-05 Hansjörg Albrecher , Martin Bladt

This paper aims to build an estimate of an unknown density of the data with measurement error as a linear combination of functions from a dictionary. Inspired by the penalization approach, we propose the weighted Elastic-net penalized…

统计理论 · 数学 2020-07-07 Xiaowei Yang , Huiming Zhang , Haoyu Wei , Shouzheng Zhang