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In this paper, we consider the problem of estimating the covariance kernel and its eigenvalues and eigenfunctions from sparse, irregularly observed, noise corrupted and (possibly) correlated functional data. We present a method based on…

Methodology · Statistics 2008-07-09 Debashis Paul , Jie Peng

Functional time series analysis, whether based on time of frequency domain methodology, has traditionally been carried out under the assumption of complete observation of the constituent series of curves, assumed stationary. Nevertheless,…

Methodology · Statistics 2020-04-02 Tomáš Rubín , Victor M. Panaretos

Consider a sub-population of rebels that wish to initiate a revolution. In order to avoid initializing a failed revolution, rebels would first strive to estimate their relative "power", which is often correlated with their fraction in the…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-15 Amos Korman , Pierluigi Crescenzi

This paper concerns differentially private Bayesian estimation of the parameters of a population distribution, when a statistic of a sample from that population is shared in noise to provide differential privacy. This work mainly addresses…

Methodology · Statistics 2023-01-09 Baris Alparslan , Sinan Yildirim

Diffusion models have shown remarkable performance in generation problems over various domains including images, videos, text, and audio. A practical bottleneck of diffusion models is their sampling speed, due to the repeated evaluation of…

Computer Vision and Pattern Recognition · Computer Science 2024-08-13 Taehong Moon , Moonseok Choi , EungGu Yun , Jongmin Yoon , Gayoung Lee , Jaewoong Cho , Juho Lee

Until recently obtaining data on populations of networks was typically rare. However, with the advancement of automatic monitoring devices and the growing social and scientific interest in networks, such data has become more widely…

Methodology · Statistics 2020-01-22 Mirko Signorelli , Ernst Wit

We propose a strategy for disclosure risk evaluation and disclosure control of a microdata set based on fitting decomposable models of a multiway contingency table corresponding to the microdata set. By fitting decomposable models, we can…

Statistics Theory · Mathematics 2007-06-13 Akimichi Takemura , Yushi Endo

Method of parameterizing and smoothing the unknown underling distributions using Bernstein polynomials is proposed, verified and investigated. Any distribution with bounded and smooth enough density can be approximated by the proposed…

Methodology · Statistics 2015-06-23 Zhong Guan

The sample frequency spectrum of a segregating site is the probability distribution of a sample of alleles from a genetic locus, conditional on observing the sample to have more than one clearly different phenotypes. We present a model for…

Probability · Mathematics 2014-05-13 Arka Bhattacharya

In many applications, linear models fit the data poorly. This article studies an appealing alternative, the generalized regression model. This model only assumes that there exists an unknown monotonically increasing link function connecting…

Methodology · Statistics 2017-07-24 Fang Han , Hongkai Ji , Zhicheng Ji , Honglang Wang

Several methods have been proposed in the spatial statistics literature for the analysis of big data sets in continuous domains. However, new methods for analyzing high-dimensional areal data are still scarce. Here, we propose a scalable…

Methodology · Statistics 2021-02-26 E. Orozco-Acosta , A. Adin , M. D. Ugarte

Diffusion models have demonstrated state-of-the-art performance across vision, language, and scientific domains. Despite their empirical success, prior theoretical analyses of the sample complexity suffer from poor scaling with input data…

Machine Learning · Computer Science 2026-04-14 Mudit Gaur , Prashant Trivedi , Sasidhar Kunapuli , Amrit Singh Bedi , Vaneet Aggarwal

Modeling information spread through a network is one of the key problems of network analysis, with applications in a wide array of areas such as marketing and public health. Most approaches assume that the spread is governed by some…

Social and Information Networks · Computer Science 2025-11-03 Alexander Kagan , Elizaveta Levina , Ji Zhu

A prediction interval covers a future observation from a random process in repeated sampling, and is typically constructed by identifying a pivotal quantity that is also an ancillary statistic. Analogously, a tolerance interval covers a…

Methodology · Statistics 2022-01-19 Geoffrey S Johnson

In observational surveys, post-stratification is used to reduce bias resulting from differences between the survey population and the population under investigation. However, this can lead to inflated post-stratification weights and,…

Applications · Statistics 2016-06-24 Yannick Vandendijck , Christel Faes , Niel Hens

Privacy protection methods, such as differentially private mechanisms, introduce noise into resulting statistics which often produces complex and intractable sampling distributions. In this paper, we propose a simulation-based "repro…

Statistics Theory · Mathematics 2024-11-07 Jordan Awan , Zhanyu Wang

Label smoothing is a widely studied regularization technique in machine learning. However, its potential for node classification in graph-structured data, spanning homophilic to heterophilic graphs, remains largely unexplored. We introduce…

Machine Learning · Computer Science 2026-02-02 Jaeseung Heo , Moonjeong Park , Dongwoo Kim

This paper introduces smoothed pseudo-population bootstrap methods for the purposes of variance estimation and the construction of confidence intervals for finite population quantiles. In an i.i.d. context, it has been shown that resampling…

Methodology · Statistics 2025-09-30 Vanessa McNealis , Christian Léger

This paper proposes a Bayesian approach to perform inference regarding the size of hidden populations at analytical region using reported statistics. To do so, we propose a specification taking into account one-sided error components and…

Econometrics · Economics 2020-09-14 Alejandro Puerta , Andrés Ramírez-Hassan

Network datasets appear across a wide range of scientific fields, including biology, physics, and the social sciences. To enable data-driven discoveries from these networks, statistical inference techniques like estimation and hypothesis…

Methodology · Statistics 2026-02-19 Arpan Kumar , Minh Tang , Srijan Sengupta