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When observations are organized into groups where commonalties exist amongst them, the dependent random measures can be an ideal choice for modeling. One of the propositions of the dependent random measures is that the atoms of the…

机器学习 · 统计学 2016-06-28 Cheng Luo , Richard Yi Da Xu , Yang Xiang

The covariance matrix is a foundation in numerous statistical and machine-learning applications such as Principle Component Analysis, Correlation Heatmap, etc. However, missing values within datasets present a formidable obstacle to…

Dirichlet process mixture models (DPMM) are a cornerstone of Bayesian non-parametrics. While these models free from choosing the number of components a-priori, computationally attractive variational inference often reintroduces the need to…

机器学习 · 计算机科学 2017-01-16 Arnim Bleier

We introduce and demonstrate a new paradigm for quantitative parameter mapping in MRI. Parameter mapping techniques, such as diffusion MRI and quantitative MRI, have the potential to robustly and repeatably measure biologically-relevant…

图像与视频处理 · 电气工程与系统科学 2024-11-19 Moucheng Xu , Yukun Zhou , Tobias Goodwin-Allcock , Kimia Firoozabadi , Joseph Jacob , Daniel C. Alexander , Paddy J. Slator

Item response theory (IRT) has become one of the most popular statistical models for psychometrics, a field of study concerned with the theory and techniques of psychological measurement. The IRT models are latent factor models tailored to…

统计方法学 · 统计学 2021-08-20 Yunxiao Chen , Xiaoou Li , Jingchen Liu , Zhiliang Ying

We propose new data-driven smooth tests for a parametric regression function. The smoothing parameter is selected through a new criterion that favors a large smoothing parameter under the null hypothesis. The resulting test is adaptive…

统计理论 · 数学 2007-06-13 Emmanuel Guerre , Pascal Lavergne

The conditional independence assumption has recently appeared in a growing body of literature on the estimation of multivariate mixtures. We consider here conditionally independent multivariate mixtures of power series distributions with…

统计理论 · 数学 2025-09-09 Fadoua Balabdaoui , Harald Besdziek , Yong Wang

A natural Bayesian approach for mixture models with an unknown number of components is to take the usual finite mixture model with Dirichlet weights, and put a prior on the number of components---that is, to use a mixture of finite mixtures…

统计方法学 · 统计学 2015-02-24 Jeffrey W. Miller , Matthew T. Harrison

Item Response Theory (IRT) models aim to assess latent abilities of $n$ examinees along with latent difficulty characteristics of $m$ test items from categorical data that indicates the quality of their corresponding answers. Classical…

机器学习 · 计算机科学 2024-08-16 Susanne Frick , Amer Krivošija , Alexander Munteanu

We present a margin-free finite mixture model which allows us to simultaneously classify objects into known classes and to identify possible new object types using a set of continuous attributes. This application is motivated by the needs…

应用统计 · 统计学 2021-03-29 Prince John , Alessandra R. Brazzale , Maria Süveges

A recommender system generates personalized recommendations for a user by computing the preference score of items, sorting the items according to the score, and filtering top-K items with high scores. While sorting and ranking items are…

信息检索 · 计算机科学 2020-12-08 Hyunsung Lee , Yeongjae Jang , Jaekwang Kim , Honguk Woo

A new class of nonparametric prior distributions, termed Beta-Binomial stick-breaking process, is proposed. By allowing the underlying length random variables to be dependent through a Beta marginals Markov chain, an appealing discrete…

统计理论 · 数学 2020-08-12 María F. Gil-Leyva , Ramsés H. Mena , Theodoros Nicoleris

For non-randomized studies, the regression discontinuity design (RDD) can be used to identify and estimate causal effects from a "locally-randomized" subgroup of subjects, under relatively mild conditions. However, current models focus…

统计方法学 · 统计学 2015-02-12 George Karabatsos , Stephen G. Walker

Modern manufacturing systems often experience multiple and unpredictable failure behaviors, yet most existing prognostic models assume a fixed, known set of failure modes with labeled historical data. This assumption limits the use of…

应用统计 · 统计学 2026-02-24 Kani Fu , Sanduni S Disanayaka Mudiyanselage , Chunli Dai , Minhee Kim

Deep learning (DL) and machine learning (ML) models have shown promise in drug response prediction (DRP), yet their ability to generalize across datasets remains an open question, raising concerns about their real-world applicability. Due…

Item response theory (IRT) is the statistical paradigm underlying a dominant family of generative probabilistic models for test responses, used to quantify traits in individuals relative to target populations. The graded response model…

应用统计 · 统计学 2022-05-03 Joshua C. Chang , Julia Porcino , Elizabeth K. Rasch , Larry Tang

Evaluating models and datasets in computer vision remains a challenging task, with most leaderboards relying solely on accuracy. While accuracy is a popular metric for model evaluation, it provides only a coarse assessment by considering a…

计算机视觉与模式识别 · 计算机科学 2024-09-09 Rahul Ramachandran , Tejal Kulkarni , Charchit Sharma , Deepak Vijaykeerthy , Vineeth N Balasubramanian

This study extends the Bayesian nonparametric instrumental variable regression model to determine the structural effects of covariates on the conditional quantile of the response variable. The error distribution is nonparametrically…

统计方法学 · 统计学 2016-08-30 Genya Kobayashi , Kota Ogasawara

Humans often juggle multiple, sometimes conflicting objectives and shift their priorities as circumstances change, rather than following a fixed objective function. In contrast, most computational decision-making and multi-objective RL…

人工智能 · 计算机科学 2026-03-25 Xianwei Cao , Dou Quan , Zhenliang Zhang , Shuang Wang

The hierarchical Dirichlet process (HDP) has become an important Bayesian nonparametric model for grouped data, such as document collections. The HDP is used to construct a flexible mixed-membership model where the number of components is…

机器学习 · 统计学 2012-01-10 Chong Wang , David M. Blei