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We analyze variational inference for highly symmetric graphical models such as those arising from first-order probabilistic models. We first show that for these graphical models, the tree-reweighted variational objective lends itself to a…

人工智能 · 计算机科学 2014-06-23 Hung Hai Bui , Tuyen N. Huynh , David Sontag

Online learning updates models incrementally with new data, avoiding large storage requirements and costly model recalculations. In this paper, we introduce "OLR-WA; OnLine Regression with Weighted Average", a novel and versatile…

机器学习 · 计算机科学 2025-12-18 Mohammad Abu-Shaira , Alejandro Rodriguez , Greg Speegle , Victor Sheng , Ishfaq Ahmad

Diffusion models have attained prominence for their ability to synthesize a probability distribution for a given dataset via a diffusion process, enabling the generation of new data points with high fidelity. However, diffusion processes…

机器学习 · 计算机科学 2024-11-25 Shervin Khalafi , Dongsheng Ding , Alejandro Ribeiro

Varying-coefficient functional linear models consider the relationship between a response and a predictor, where the response depends not only the predictor but also an exogenous variable. It then accounts for the relation of the predictors…

统计方法学 · 统计学 2022-03-22 Hidetoshi Matsui

Necessary and sufficient conditions for the square-integrability of recently proposed unbiased estimators are established. A geometric characterization of a distribution that optimizes the performance of these estimators is given. An…

统计理论 · 数学 2019-09-09 Nabil Kahale

Most work on supervised learning research has focused on marginal predictions. In decision problems, joint predictive distributions are essential for good performance. Previous work has developed methods for assessing low-order predictive…

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

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

Win statistics, including the win ratio, net benefit, and win odds, summarize treatment effects on hierarchical composite endpoints by sequentially comparing patient pairs on component outcomes ordered by clinical importance, proceeding to…

统计方法学 · 统计学 2026-05-27 Xi Fang , Fan Li

A recurring challenge in high energy physics is inference of the signal component from a distribution for which observations are assumed to be a mixture of signal and background events. A standard assumption is that there exists information…

应用统计 · 统计学 2025-10-21 Chad Schafer , Larry Wasserman , Mikael Kuusela

We introduce a novel perspective by linking ordered probabilistic choice to copula theory, a mathematical framework for modeling dependencies in multivariate distributions. Each representation of ordered probabilistic choice behavior can be…

理论经济学 · 经济学 2025-07-10 Christopher P. Chambers , Yusufcan Masatlioglu , Kemal Yildiz

In this paper we propose a wide class of truncated stochastic approximation procedures with moving random bounds. While we believe that the proposed class of procedures will find its way to a wider range of applications, the main motivation…

统计方法学 · 统计学 2012-05-04 Teo Sharia

We characterize the fundamental limits of high-dimensional mean testing under arbitrary truncation, where samples are drawn from the conditional distribution $P(\cdot \mid S)$ for an unknown truncation set $S$ that may hide up to an…

机器学习 · 统计学 2026-05-05 Yuhao Wang , Roberto Imbuzeiro Oliveira , Themis Gouleakis

A central push in operations models over the last decade has been the incorporation of models of customer choice. Real world implementations of many of these models face the formidable stumbling block of simply identifying the `right' model…

应用统计 · 统计学 2011-06-23 Vivek F. Farias , Srikanth Jagabathula , Devavrat Shah

This paper proposes an algorithm to generate random numbers from any member of the truncated multivariate elliptical family of distributions with a strictly decreasing density generating function. Based on Neal (2003) and Ho et al. (2012),…

统计计算 · 统计学 2021-12-20 Katherine A. L. Valeriano , Christian E. Galarza , Larissa A. Matos

A fundamental property of codes, the second-order weight distribution, is proposed to solve the problems such as computing second moments of weight distributions of linear code ensembles. A series of results, parallel to those for weight…

信息论 · 计算机科学 2011-11-15 Shengtian Yang

In this paper we explore several approaches for sampling weight vectors in the context of weighted sum scalarisation approaches for solving multi-criteria decision making (MCDM) problems. This established method converts a multi-objective…

最优化与控制 · 数学 2025-04-18 Aled Williams , Yilun Cai

The Ordinal Priority Approach (OPA) is a multi-attribute decision-making (MADM) method to determine the relative importance (weights) of experts, attributes, and alternatives. This study formally establishes the fundamental properties of…

最优化与控制 · 数学 2024-07-25 Renlong Wang

Classification rules can be severely affected by the presence of disturbing observations in the training sample. Looking for an optimal classifier with such data may lead to unnecessarily complex rules. So, simpler effective classification…

统计理论 · 数学 2017-01-19 Marina Antolín , Eustasio Del Barrio , Jean-Michel Loubes

Much work has been done in the area of the cluster weighted model (CWM), which extends the finite mixture of regression model to include modelling of the covariates. Although many types of distributions have been considered for both the…