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The features in many prediction models naturally take the form of a hierarchy. The lower levels represent individuals or events. These units group naturally into locations and intervals or other aggregates, often at multiple levels. Levels…

应用统计 · 统计学 2023-07-03 John Mark Agosta , Mario Inchiosa

We present new Bayesian methodology for consumer sales forecasting. With a focus on multi-step ahead forecasting of daily sales of many supermarket items, we adapt dynamic count mixture models to forecast individual customer transactions,…

统计方法学 · 统计学 2022-06-07 Lindsay R. Berry , Paul Helman , Mike West

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

An important task for any large-scale organization is to prepare forecasts of key performance metrics. Often these organizations are structured in a hierarchical manner and for operational reasons, projections of these metrics may have been…

应用统计 · 统计学 2017-11-15 Julie Novak , Scott McGarvie , Beatriz Etchegaray Garcia

Existing hierarchical forecasting techniques scale poorly when the number of time series increases. We propose to learn a coherent forecast for millions of time series with a single bottom-level forecast model by using a sparse loss…

机器学习 · 计算机科学 2024-02-27 Olivier Sprangers , Wander Wadman , Sebastian Schelter , Maarten de Rijke

Complex network data problems are increasingly common in many fields of application. Our motivation is drawn from strategic marketing studies monitoring customer choices of specific products, along with co-subscription networks encoding…

应用统计 · 统计学 2018-09-11 Daniele Durante , Sally Paganin , Bruno Scarpa , David B. Dunson

This paper argues that there has not been enough discussion in the field of applications of Gaussian Process for the fast moving consumer goods industry. Yet, this technique can be important as it e.g., can provide automatic feature…

应用统计 · 统计学 2017-09-19 Rodrigo Rivera , Evgeny Burnaev

Software is highly contextual. While there are cross-cutting `global' lessons, individual software projects exhibit many `local' properties. This data heterogeneity makes drawing local conclusions from global data dangerous. A key research…

软件工程 · 计算机科学 2018-04-10 Neil A. Ernst

This paper addresses the problem of fault diagnosis in multistation assembly systems. Fault diagnosis is to identify process faults that cause the excessive dimensional variation of the product using dimensional measurements. For such…

应用统计 · 统计学 2022-10-31 Jihoon Chung , Bo Shen , Zhenyu , Kong

Time series of counts arise in a variety of forecasting applications, for which traditional models are generally inappropriate. This paper introduces a hierarchical Bayesian formulation applicable to count time series that can easily…

机器学习 · 统计学 2014-05-16 Nicolas Chapados

This paper develops forecasting methodology and application of new classes of dynamic models for time series of non-negative counts. Novel univariate models synthesise dynamic generalized linear models for binary and conditionally Poisson…

统计方法学 · 统计学 2022-06-07 Lindsay Berry , Mike West

We encounter time series data in many domains such as finance, physics, business, and weather. One of the main tasks of time series analysis, one that helps to take informed decisions under uncertainty, is forecasting. Time series are often…

人工智能 · 计算机科学 2023-08-29 Gal Elgavish

It is not always clear how to adjust for control data in causal inference, balancing the goals of reducing bias and variance. We show how, in a setting with repeated experiments, Bayesian hierarchical modeling yields an adaptive procedure…

统计方法学 · 统计学 2025-01-23 Andrew Gelman , Matthijs Vákár

Bayesian hierarchical models have been demonstrated to provide efficient algorithms for finding sparse solutions to ill-posed inverse problems. The models comprise typically a conditionally Gaussian prior model for the unknown, augmented by…

数值分析 · 数学 2023-03-31 Daniela Calvetti , Erkki Somersalo

We present a case study and methodological developments in large-scale hierarchical dynamic modeling for personalized prediction in commerce. The context is supermarket sales, where improved forecasting of customer/household-specific…

统计方法学 · 统计学 2021-01-12 Anna K. Yanchenko , Di Daniel Deng , Jinglan Li , Andrew J. Cron , Mike West

A common task in inverse problems and imaging is finding a solution that is sparse, in the sense that most of its components vanish. In the framework of compressed sensing, general results guaranteeing exact recovery have been proven. In…

数值分析 · 数学 2021-04-29 Monica Pragliola , Daniela Calvetti , Erkki Somersalo

Variable selection techniques have become increasingly popular amongst statisticians due to an increased number of regression and classification applications involving high-dimensional data where we expect some predictors to be unimportant.…

统计方法学 · 统计学 2010-09-20 Anthony Lee , Francois Caron , Arnaud Doucet , Chris Holmes

We explore various Bayesian approaches to estimate partial Gaussian graphical models. Our hierarchical structures enable to deal with single-output as well as multiple-output linear regressions, in small or high dimension, enforcing either…

统计方法学 · 统计学 2021-12-14 Eunice Okome Obiang , Pascal Jézéquel , Frédéric Proïa

Leveraging the wealth of unlabeled data produced in recent years provides great potential for improving supervised models. When the cost of acquiring labels is high, probabilistic active learning methods can be used to greedily select the…

Bayesian hierarchical modeling is a natural framework to effectively integrate data and borrow information across groups. In this paper, we address problems related to density estimation and identifying clusters across related groups, by…

统计方法学 · 统计学 2025-10-29 Huizi Zhang , Sara Wade , Natalia Bochkina
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