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Quantile regression has demonstrated promising utility in longitudinal data analysis. Existing work is primarily focused on modeling cross-sectional outcomes, while outcome trajectories often carry more substantive information in practice.…

Methodology · Statistics 2018-06-19 Huijuan Ma , Limin Peng , Haoda Fu

Quantile is an important measure in finance and quality assessment in service industry. In this paper, we model the temporal and cross-sectional interactive effect of the quantiles of large-dimensional time series by a latent quantile…

Methodology · Statistics 2023-03-07 He Yong , Kong Xin-Bing , Yu Long , Zhao Peng

When facing multivariate covariates, general semiparametric regression techniques come at hand to propose flexible models that are unexposed to the curse of dimensionality. In this work a semiparametric copula-based estimator for…

Methodology · Statistics 2016-03-25 Mickael De Backer , Anouar El Ghouch , Ingrid Van Keilegom

Accurate estimation of output quantiles is crucial in many use cases, where it is desired to model the range of possibility. Modeling target distribution at arbitrary quantile levels and at arbitrary input attribute levels are important to…

Artificial Intelligence · Computer Science 2023-01-13 Ruoxi Sun , Chun-Liang Li , Sercan O. Arik , Michael W. Dusenberry , Chen-Yu Lee , Tomas Pfister

We revisit the range sampling problem: the input is a set of points where each point is associated with a real-valued weight. The goal is to store them in a structure such that given a query range and an integer $k$, we can extract $k$…

Data Structures and Algorithms · Computer Science 2019-03-20 Peyman Afshani , Jeff M. Phillips

Most studies in real time change-point detection either focus on the linear model or use the CUSUM method under classical assumptions on model errors. This paper considers the sequential change-point detection in a nonlinear quantile model.…

Statistics Theory · Mathematics 2016-05-03 Gabriela Ciuperca

Quantiles are very important statistics information used to describe the distribution of datasets. Given the quantiles of a dataset, we can easily know the distribution of the dataset, which is a fundamental problem in data analysis.…

Databases · Computer Science 2015-08-25 Zixuan Zhuang

This paper introduces a quantile regression estimator for panel data models with individual heterogeneity and attrition. The method is motivated by the fact that attrition bias is often encountered in Big Data applications. For example,…

Econometrics · Economics 2018-08-13 Matthew Harding , Carlos Lamarche

The Quick Medical Reference (QMR) is a compendium of statistical knowledge connecting diseases to findings (symptoms). The information in QMR can be represented as a Bayesian network. The inference problem (or, in more medical language,…

Quantum Physics · Physics 2008-07-29 Robert R. Tucci

Bias in datasets can be very detrimental for appropriate statistical estimation. In response to this problem, importance weighting methods have been developed to match any biased distribution to its corresponding target unbiased…

Machine Learning · Computer Science 2022-09-12 Antoine de Mathelin , Francois Deheeger , Mathilde Mougeot , Nicolas Vayatis

Citation metrics are becoming pervasive in the quantitative evaluation of scholars, journals and institutions. More then ever before, hiring, promotion, and funding decisions rely on a variety of impact metrics that cannot disentangle…

Digital Libraries · Computer Science 2015-09-03 Jasleen Kaur , Emilio Ferrara , Filippo Menczer , Alessandro Flammini , Filippo Radicchi

Linear quantile regression models aim at providing a detailed and robust picture of the (conditional) response distribution as function of a set of observed covariates. Longitudinal data represent an interesting field of application of such…

Methodology · Statistics 2015-07-30 Maria Francesca Marino , Nikos Tzavidis , Marco Alfo'

Linear regression is a data analysis technique, which is categorized as supervised learning. By utilizing known data, we can predict unknown data. Recently, researchers have explored the use of quantum annealing (QA) to perform linear…

Quantum Physics · Physics 2024-10-14 Asuka Koura , Takashi Imoto , Katsuki Ura , Yuichiro Matsuzaki

Variable selection, or more generally, model reduction is an important aspect of the statistical workflow aiming to provide insights from data. In this paper, we discuss and demonstrate the benefits of using a reference model in variable…

Methodology · Statistics 2020-04-29 Federico Pavone , Juho Piironen , Paul-Christian Bürkner , Aki Vehtari

Rigorous guarantees about the performance of predictive algorithms are necessary in order to ensure their responsible use. Previous work has largely focused on bounding the expected loss of a predictor, but this is not sufficient in many…

Machine Learning · Computer Science 2022-12-29 Jake C. Snell , Thomas P. Zollo , Zhun Deng , Toniann Pitassi , Richard Zemel

This paper tackles the challenge presented by small-data to the task of Bayesian inference. A novel methodology, based on manifold learning and manifold sampling, is proposed for solving this computational statistics problem under the…

Machine Learning · Statistics 2019-10-29 Christian Soize , Roger Ghanem

Variable clustering is important for explanatory analysis. However, only few dedicated methods for variable clustering with the Gaussian graphical model have been proposed. Even more severe, small insignificant partial correlations due to…

Applications · Statistics 2018-06-18 Daniel Andrade , Akiko Takeda , Kenji Fukumizu

This paper studies the inference problem in quantile regression (QR) for a large sample size $n$ but under a limited memory constraint, where the memory can only store a small batch of data of size $m$. A natural method is the na\"ive…

Methodology · Statistics 2021-11-15 Xi Chen , Weidong Liu , Yichen Zhang

Quantiles, such as the median or percentiles, provide concise and useful information about the distribution of a collection of items, drawn from a totally ordered universe. We study data structures, called quantile summaries, which keep…

Data Structures and Algorithms · Computer Science 2026-01-27 Graham Cormode , Pavel Veselý

Univariate and multivariate general linear regression models, subject to linear inequality constraints, arise in many scientific applications. The linear inequality restrictions on model parameters are often available from phenomenological…

Methodology · Statistics 2021-12-07 Solmaz Seifollahi , Kaniav Kamary , Hossein Bevrani
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