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This paper presents a new Bayesian collaborative sparse regression method for linear unmixing of hyperspectral images. Our contribution is twofold; first, we propose a new Bayesian model for structured sparse regression in which the…

统计计算 · 统计学 2023-07-19 Yoann Altmann , Marcelo Pereyra , Jose Bioucas-Dias

This paper is about variable selection, clustering and estimation in an unsupervised high-dimensional setting. Our approach is based on fitting constrained Gaussian mixture models, where we learn the number of clusters $K$ and the set of…

机器学习 · 统计学 2014-02-03 Stephane Gaiffas , Bertrand Michel

We introduce a novel Bayesian approach for both covariate selection and sparse precision matrix estimation in the context of high-dimensional Gaussian graphical models involving multiple responses. Our approach provides a sparse estimation…

统计方法学 · 统计学 2024-09-25 Anwesha Chakravarti , Naveen N. Narishetty , Feng Liang

Due to its wide reaching implications for everything from identifying hotspots of income inequality to political redistricting, there is a rich body of literature across the sciences quantifying spatial patterns in socioeconomic data. In…

物理与社会 · 物理学 2020-11-18 Alec Kirkley

Multivariate categorical data occur in many applications of machine learning. One of the main difficulties with these vectors of categorical variables is sparsity. The number of possible observations grows exponentially with vector length,…

机器学习 · 统计学 2015-03-10 Yarin Gal , Yutian Chen , Zoubin Ghahramani

In many applications, the dataset under investigation exhibits heterogeneous regimes that are more appropriately modeled using piece-wise linear models for each of the data segments separated by change-points. Although there have been much…

统计理论 · 数学 2015-10-27 Abhirup Datta , Hui Zou , Sudipto Banerjee

We propose models and algorithms for learning about random directions in simplex-valued data. The models are applied to the study of income level proportions and their changes over time in a geostatistical area. There are several notable…

统计方法学 · 统计学 2023-11-01 Rayleigh Lei , XuanLong Nguyen

'Big' high-dimensional data are commonly analyzed in low-dimensions, after performing a dimensionality-reduction step that inherently distorts the data structure. For the same purpose, clustering methods are also often used. These methods…

机器学习 · 统计学 2019-02-20 Tom Lorimer , Karlis Kanders , Ruedi Stoop

We analyze binary data, available for a relatively large number (big data) of families (or households), which are within small areas, from a population-based survey. Inference is required for the finite population proportion of individuals…

统计方法学 · 统计学 2018-06-04 Balgobin Nandram , Lu Chen , Shuting Fu , Binod Manandhar

We formulate a discrete-time Bayesian stochastic volatility model for high-frequency stock-market data that directly accounts for microstructure noise, and outline a Markov chain Monte Carlo algorithm for parameter estimation. The methods…

应用统计 · 统计学 2016-02-02 Georgi Dinolov , Abel Rodriguez , Hongyun Wang

Many areas of the world are without basic information on the socioeconomic well-being of the residing population due to limitations in existing data collection methods. Overhead images obtained remotely, such as from satellite or aircraft,…

计算机视觉与模式识别 · 计算机科学 2024-03-14 Ethan Brewer , Giovani Valdrighi , Parikshit Solunke , Joao Rulff , Yurii Piadyk , Zhonghui Lv , Jorge Poco , Claudio Silva

In low and middle income countries, household surveys are a valuable source of information for a range of health and demographic indicators. Increasingly, subnational estimates are required for targeting interventions and evaluating…

统计方法学 · 统计学 2020-09-21 Katie Wilson , Jon Wakefield

Statistical estimates from survey samples have traditionally been obtained via design-based estimators. In many cases, these estimators tend to work well for quantities such as population totals or means, but can fall short as sample sizes…

统计方法学 · 统计学 2020-09-15 Paul A. Parker , Scott H. Holan , Ryan Janicki

We develop Bayesian predictive stacking for geostatistical models, where the primary inferential objective is to provide inference on the latent spatial random field and conduct spatial predictions at arbitrary locations. We exploit…

统计方法学 · 统计学 2025-09-25 Lu Zhang , Wenpin Tang , Sudipto Banerjee

Mathematical models of cognition are often memoryless and ignore potential fluctuations of their parameters. However, human cognition is inherently dynamic. Thus, we propose to augment mechanistic cognitive models with a temporal dimension…

统计方法学 · 统计学 2023-09-21 Lukas Schumacher , Paul-Christian Bürkner , Andreas Voss , Ullrich Köthe , Stefan T. Radev

Spatial documentation is exponentially increasing given the availability of Big IoT Data, enabled by the devices miniaturization and data storage capacity. Bayesian spatial statistics is a useful statistical tool to determine the dependence…

统计方法学 · 统计学 2020-10-01 Francisco Louzada , Diego C. Nascimento , Osafu Augustine Egbon

The histogram method is a powerful non-parametric approach for estimating the probability density function of a continuous variable. But the construction of a histogram, compared to the parametric approaches, demands a large number of…

机器学习 · 统计学 2015-12-29 Hideaki Kim , Hiroshi Sawada

Unstructured data from diverse sources, such as social media and aerial imagery, can provide valuable up-to-date information for intelligent situation assessment. Mining these different information sources could bring major benefits to…

机器学习 · 计算机科学 2019-04-08 Edwin Simpson , Steven Reece , Stephen J. Roberts

Joint modeling of spatially-oriented dependent variables is commonplace in the environmental sciences, where scientists seek to estimate the relationships among a set of environmental outcomes accounting for dependence among these outcomes…

统计方法学 · 统计学 2021-03-22 Lu Zhang , Sudipto Banerjee , Andrew O. Finley

Demographic heterogeneity is often studied through the geographical lens. Therefore it is considered at a predetermined spatial resolution, which is a suitable choice to understand scalefull phenomena. Spatial autocorrelation indices are…

物理与社会 · 物理学 2024-04-01 Aleksejus Kononovicius , Justas Kvedaravicius