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The method of maximum likelihood estimation (MLE) is a widely used statistical approach for estimating the values of one or more unknown parameters of a probabilistic model based on observed data. In this tutorial, I briefly review the…

数据分析、统计与概率 · 物理学 2018-12-03 Anthony Vella

In real life, we frequently come across data sets that involve some independent explanatory variable(s) generating a set of ordinal responses. These ordinal responses may correspond to an underlying continuous latent variable, which is…

统计方法学 · 统计学 2024-01-08 Arijit Pyne , Subhrajyoty Roy , Abhik Ghosh , Ayanendranath Basu

By integrating two powerful methods of density reduction and intrinsic dimensionality estimation, a new data-driven method, referred to as OLPP-MLE (orthogonal locality preserving projection-maximum likelihood estimation), is introduced for…

统计方法学 · 统计学 2020-12-15 Jingxin Zhang , Maoyin Chen , Hao Chen , Xia Hong , Donghua Zhou

The classical functional linear regression model (FLM) and its extensions, which are based on the assumption that all individuals are mutually independent, have been well studied and are used by many researchers. This independence…

统计计算 · 统计学 2018-11-02 Tingting Huang , Gilbert Saporta , Huiwen Wang , Shanshan Wang

A recent trend of research on direction-of-arrival (DOA) estimation is to localize more uncorrelated sources than sensors by using a proper sparse linear array (SLA) and the Toeplitz covariance structure, at a cost of robustness to source…

信号处理 · 电气工程与系统科学 2022-03-28 Zai Yang , Xinyao Chen , Xunmeng Wu

Early prediction of mortality and length of stay(LOS) of a patient is vital for saving a patient's life and management of hospital resources. Availability of electronic health records(EHR) makes a huge impact on the healthcare domain and…

机器学习 · 计算机科学 2020-12-01 Batuhan Bardak , Mehmet Tan

Estimating the uncertainty of a model's prediction on a test point is a crucial part of ensuring reliability and calibration under distribution shifts. A minimum description length approach to this problem uses the predictive normalized…

机器学习 · 计算机科学 2024-07-22 Nathan Ng , Roger Grosse , Marzyeh Ghassemi

In clinical trials, studies often present longitudinal data or clustered data. These studies are commonly analyzed using linear mixed models (LMMs), usually considering Gaussian assumptions for random effect and error terms. Recently,…

统计方法学 · 统计学 2021-09-28 Fernanda L. Schumacher , Larissa A. Matos , Celso R. B. Cabral

Particle Marginal Metropolis-Hastings (PMMH) is a general approach to Bayesian inference when the likelihood is intractable, but can be estimated unbiasedly. Our article develops an efficient PMMH method that scales up better to higher…

统计计算 · 统计学 2023-05-10 David Gunawan , Pratiti Chatterjee , Robert Kohn

In multitemporal InSAR, phase linking (PL) refers to the estimation of a single-reference interferometric phase history for distributed scatterers (DS) from the information contained in the sample coherence matrix. Because the phase…

信号处理 · 电气工程与系统科学 2026-04-22 Magnus Heimpel , Irena Hajnsek , Othmar Frey

Density dependence is important in the ecology and evolution of microbial and cancer cells. Typically, we can only measure net growth rates, but the underlying density-dependent mechanisms that give rise to the observed dynamics can…

种群与进化 · 定量生物学 2025-06-04 Linh Huynh , Jacob G. Scott , Peter J. Thomas

We propose a Likelihood Matching approach for training diffusion models by first establishing an equivalence between the likelihood of the target data distribution and a likelihood along the sample path of the reverse diffusion. To…

机器学习 · 统计学 2026-01-23 Lei Qian , Wu Su , Yanqi Huang , Song Xi Chen

A key challenge in building effective regression models for large and diverse populations is accounting for patient heterogeneity. An example of such heterogeneity is in health system risk modeling efforts where different combinations of…

统计方法学 · 统计学 2022-12-26 Jared D. Huling , Menggang Yu

Temporal Point Processes (TPP) with partial likelihoods involving a latent structure often entail an intractable marginalization, thus making inference hard. We propose a novel approach to Maximum Likelihood Estimation (MLE) involving…

机器学习 · 计算机科学 2019-12-20 Amrith Setlur , Barnabás Póczós

The availability of mobile health (mHealth) technology has enabled increased collection of intensive longitudinal data (ILD). ILD have potential to capture rapid fluctuations in outcomes that may be associated with changes in the risk of an…

The challenges posed by complex stochastic models used in computational ecology, biology and genetics have stimulated the development of approximate approaches to statistical inference. Here we focus on Synthetic Likelihood (SL), a…

统计方法学 · 统计学 2017-06-09 Matteo Fasiolo , Simon N. Wood , Florian Hartig , Mark V. Bravington

The paper investigates the escalating concerns surrounding the surge in diabetes cases, exacerbated by the COVID-19 pandemic, and the subsequent strain on medical resources. The research aims to construct a predictive model quantifying…

应用统计 · 统计学 2025-02-04 Jorden Lam , Kunpeng Xu

Stochastic epidemic models provide an interpretable probabilistic description of the spread of a disease through a population. Yet, fitting these models to partially observed data is a notoriously difficult task due to intractability of the…

统计计算 · 统计学 2022-10-21 Raphael Morsomme , Jason Xu

Large language models (LLMs) excel on multiple-choice clinical diagnosis benchmarks, yet it is unclear how much of this performance reflects underlying probabilistic reasoning. We study this through questions from MedQA, where the task is…

计算与语言 · 计算机科学 2025-12-16 Furong Jia , Yuan Pu , Finn Guo , Monica Agrawal

We propose a flexible joint longitudinal-survival framework to examine the association between longitudinally collected biomarkers and a time-to-event endpoint. More specifically, we use our method for analyzing the survival outcome of…

应用统计 · 统计学 2018-07-09 Sepehr Akhavan Masouleh , Tracy Holsclaw , Babak Shahbaba , Daniel L. Gillen