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Maximum pseudolikelihood (MPL) estimators are useful alternatives to maximum likelihood (ML) estimators when likelihood functions are more difficult to manipulate than their marginal and conditional components. Furthermore, MPL estimators…

统计方法学 · 统计学 2017-08-30 Hien D. Nguyen

Spectral unmixing is a crucial processing step when analyzing hyperspectral data. In such analysis, most of the work in the literature relies on the widely acknowledged linear mixing model to describe the observed pixels. Unfortunately,…

数据分析、统计与概率 · 物理学 2014-04-21 Nicolas Dobigeon , Laurent Tits , Ben Somers , Yoann Altmann , Pol Coppin

Non-parametric estimation of a multivariate density estimation is tackled via a method which combines traditional local smoothing with a form of global smoothing but without imposing a rigid structure. Simulation work delivers encouraging…

统计方法学 · 统计学 2016-10-10 Adelchi Azzalini

In this manuscript, we consider a finite nonparametric mixture model with non-independent marginal density functions. Dependence between the marginal densities is modeled using a copula device. Until recently, no deterministic algorithms…

统计方法学 · 统计学 2025-05-23 Michael Levine

Most high-dimensional estimation and prediction methods propose to minimize a cost function (empirical risk) that is written as a sum of losses associated to each data point. In this paper we focus on the case of non-convex losses, which is…

机器学习 · 统计学 2017-01-17 Song Mei , Yu Bai , Andrea Montanari

Among Monte Carlo techniques, the importance sampling requires fine tuning of a proposal distribution, which is now fluently resolved through iterative schemes. The Adaptive Multiple Importance Sampling (AMIS) of Cornuet et al. (2012)…

统计计算 · 统计学 2014-05-27 Jean-Michel Marin , Pierre Pudlo , Mohammed Sedki

This letter presents an improved version of diffusion least mean ppower (LMP) algorithm for distributed estimation. Instead of sum of mean square errors, a weighted sum of mean square error is defined as the cost function for global and…

机器学习 · 统计学 2016-08-09 H. Zayyani , M. Korki

The task of mixture proportion estimation (MPE) is to estimate the weight of a component distribution in a mixture, given observations from both the component and mixture. Previous work on MPE adopts the irreducibility assumption, which…

机器学习 · 统计学 2023-08-01 Yilun Zhu , Aaron Fjeldsted , Darren Holland , George Landon , Azaree Lintereur , Clayton Scott

In this paper we provide a new efficient algorithm for approximately computing the profile maximum likelihood (PML) distribution, a prominent quantity in symmetric property estimation. We provide an algorithm which matches the previous best…

数据结构与算法 · 计算机科学 2020-11-06 Nima Anari , Moses Charikar , Kirankumar Shiragur , Aaron Sidford

We use an agnostic information-theoretic approach to investigate the statistical properties of natural images. We introduce the Multiscale Relevance (MSR) measure to assess the robustness of images to compression at all scales. Starting in…

数据分析、统计与概率 · 物理学 2023-10-06 Samy Lakhal , Alexandre Darmon , Iacopo Mastromatteo , Matteo Marsili , Michael Benzaquen

Predictive Maintenance (PdM) is pivotal in Industry 4.0 and 5.0, proactively enhancing efficiency through accurate equipment Remaining Useful Life (RUL) prediction, thus optimizing maintenance scheduling and reducing unexpected failures and…

人工智能 · 计算机科学 2025-06-23 Davide Frizzo , Francesco Borsatti , Gian Antonio Susto

In recent years, diffusion models, and more generally score-based deep generative models, have achieved remarkable success in various applications, including image and audio generation. In this paper, we view diffusion models as an implicit…

统计理论 · 数学 2026-02-12 Hyeok Kyu Kwon , Dongha Kim , Ilsang Ohn , Minwoo Chae

We consider the problem of estimating the mixing density $f$ from $n$ i.i.d. observations distributed according to a mixture density with unknown mixing distribution. In contrast with finite mixtures models, here the distribution of the…

统计理论 · 数学 2015-05-26 Tabea Rebafka , François Roueff

This pedagogical review examines the use of machine learning methods in finite-population inference for survey sampling, with an emphasis on design-based validity and statistical inference. While flexible prediction tools offer substantial…

统计方法学 · 统计学 2026-05-19 Mehdi Dagdoug , David Haziza

In recent years, persistent homology (PH) has been successfully applied to real-world data in many different settings. Despite significant computational advances, PH algorithms do not yet scale to large datasets preventing interesting…

代数拓扑 · 数学 2022-03-24 Bernadette J. Stolz

For complex latent variable models, the likelihood function is not available in closed form. In this context, a popular method to perform parameter estimation is Importance Weighted Variational Inference. It essentially maximizes the…

统计理论 · 数学 2025-01-16 Badr-Eddine Cherief-Abdellatif , Randal Douc , Arnaud Doucet , Hugo Marival

In compressed sensing, measurements are typically contaminated by additive noise, and therefore, information about the noise variance is often needed to design algorithms. In this paper, we propose a method for estimating the unknown noise…

信号处理 · 电气工程与系统科学 2025-03-24 Ryo Hayakawa

Normalized compound random measures are flexible nonparametric priors for related distributions. We consider building general nonparametric regression models using normalized compound random measure mixture models. Posterior inference is…

统计方法学 · 统计学 2017-09-01 Jim Griffin , Fabrizio Leisen

A fundamental problem in phase retrieval is to reconstruct an unknown signal from a set of magnitude-only measurements. In this work we introduce three novel quotient intensity-based models (QIMs) based a deep modification of the…

数值分析 · 数学 2021-12-16 Jian-Feng Cai , Meng Huang , Dong Li , Yang Wang

In this paper, we will discuss how to generalize nonparametric density estimators to MLE parametric estimators. Basing on the Parzen window theory and using the advantages of probability amplitude of quantum theory, we model a nonlinear…

统计理论 · 数学 2008-11-13 Yeong-Shyeong Tsai