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We consider the problem of flexible modeling of higher order hidden Markov models when the number of latent states and the nature of the serial dependence, including the true order, are unknown. We propose Bayesian nonparametric methodology…

统计方法学 · 统计学 2019-02-06 Abhra Sarkar , David B. Dunson

In spite of the recent surge of interest in quantile regression, joint estimation of linear quantile planes remains a great challenge in statistics and econometrics. We propose a novel parametrization that characterizes any collection of…

统计方法学 · 统计学 2015-07-14 Yun Yang , Surya Tokdar

This article introduces a nonparametric approach to spectral analysis of a high-dimensional multivariate nonstationary time series. The procedure is based on a novel frequency-domain factor model that provides a flexible yet parsimonious…

统计方法学 · 统计学 2019-10-29 Zeda Li , Ori Rosen , Fabio Ferrarelli , Robert T. Krafty

Classifying transients based on multi band light curves is a challenging but crucial problem in the era of GAIA and LSST since the sheer volume of transients will make spectroscopic classification unfeasible. Here we present a nonparametric…

天体物理仪器与方法 · 物理学 2015-10-26 Melvin M. Varughese , Rainer von Sachs , Michael Stephanou , Bruce A. Bassett

Nonparametric empirical Bayes methods provide a flexible and attractive approach to high-dimensional data analysis. One particularly elegant empirical Bayes methodology, involving the Kiefer-Wolfowitz nonparametric maximum likelihood…

统计方法学 · 统计学 2014-07-11 Lee H. Dicker , Sihai D. Zhao

In this paper, we present a Bayesian approach for spectral unmixing of multispectral Lidar (MSL) data associated with surface reflection from targeted surfaces composed of several known materials. The problem addressed is the estimation of…

统计方法学 · 统计学 2015-10-28 Yoann Altmann , Andrew Wallace , Steve McLaughlin

Nonparametric identification and maximum likelihood estimation for finite-state hidden Markov models are investigated. We obtain identification of the parameters as well as the order of the Markov chain if the transition probability…

统计理论 · 数学 2015-10-01 Grigory Alexandrovich , Hajo Holzmann , Anna Leister

This paper presents a Bayesian algorithm for linear spectral unmixing of hyperspectral images that accounts for anomalies present in the data. The model proposed assumes that the pixel reflectances are linear mixtures of unknown endmembers,…

统计方法学 · 统计学 2015-10-06 Yoann Altmann , Steve McLaughlin , Alfred Hero

Spectral methods have greatly advanced the estimation of latent variable models, generating a sequence of novel and efficient algorithms with strong theoretical guarantees. However, current spectral algorithms are largely restricted to…

机器学习 · 计算机科学 2013-12-10 Le Song , Animashree Anandkumar , Bo Dai , Bo Xie

Bayesian inference for nonlinear diffusions, observed at discrete times, is a challenging task that has prompted the development of a number of algorithms, mainly within the computational statistics community. We propose a new direction,…

统计计算 · 统计学 2022-01-11 Matthew M. Graham , Alexandre H. Thiery , Alexandros Beskos

Mass spectrometry imaging (MSI) enables label-free visualization of molecular distributions across tissue samples but generates large and complex datasets that require effective peak picking to reduce data size while preserving meaningful…

计算机视觉与模式识别 · 计算机科学 2026-03-12 Philipp Weigand , Nikolas Ebert , Shad A. Mohammed , Denis Abu Sammour , Carsten Hopf , Oliver Wasenmüller

Histogram-based empirical Bayes methods developed for analyzing data for large numbers of genes, SNPs, or other biological features tend to have large biases when applied to data with a smaller number of features such as genes with…

统计方法学 · 统计学 2013-10-10 Marta Padilla , David R. Bickel

In this study, we propose a hidden Markov mixture model for the analysis of gene expression measurements mapped to chromosome locations. These expression values represent preprocessed light intensities observed in each probe of Affymetrix…

应用统计 · 统计学 2016-09-27 Vinícius Diniz Mayrink , Flávio Bambirra Gonçalves

We propose a new Bayesian tracking and parameter learning algorithm for non-linear non-Gaussian multiple target tracking (MTT) models. We design a Markov chain Monte Carlo (MCMC) algorithm to sample from the posterior distribution of the…

应用统计 · 统计学 2015-10-28 Lan Jiang , Sumeetpal S. Singh , Sinan Yıldırım

The increasing availability of multiple network data has highlighted the need for statistical models for heterogeneous populations of networks. A convenient framework makes use of metrics to measure similarity between networks. In this…

统计方法学 · 统计学 2026-03-09 Francesco Barile , Simón Lunagómez , Bernardo Nipoti

In this dissertation, we develop nonparametric Bayesian models for biomedical data analysis. In particular, we focus on inference for tumor heterogeneity and inference for missing data. First, we present a Bayesian feature allocation model…

应用统计 · 统计学 2019-09-23 Tianjian Zhou

We present a method to constrain galaxy parameters directly from three-dimensional data cubes. The algorithm compares directly the data with a parametric model mapped in $x,y,\lambda$ coordinates. It uses the spectral lines-spread function…

天体物理仪器与方法 · 物理学 2015-09-01 N. Bouché , H. Carfantan , I. Schroetter , L. Michel-Dansac , T. Contini

With the advance of imaging technology, digital pathology imaging of tumor tissue slides is becoming a routine clinical procedure for cancer diagnosis. This process produces massive imaging data that capture histological details in high…

统计方法学 · 统计学 2020-12-10 Qiwei Li , Xinlei Wang , Faming Liang , Guanghua Xiao

This paper proposes a determined blind source separation method using Bayesian non-parametric modelling of sources. Conventionally source signals are separated from a given set of mixture signals by modelling them using non-negative matrix…

声音 · 计算机科学 2019-04-09 Chaitanya Narisetty , Tatsuya Komatsu , Reishi Kondo

In this work, we develop and compare two innovative strategies for parameter estimation and radar detection of multiple point-like targets. The first strategy, which appears here for the first time, jointly exploits the maximum likelihood…

信号处理 · 电气工程与系统科学 2020-12-02 Pia Addabbo , Jun Liu , Danilo Orlando , Giuseppe Ricci