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We propose Bayesian Hierarchical Invariant Prediction (BHIP) reframing Invariant Causal Prediction (ICP) through the lens of Hierarchical Bayes. We leverage the hierarchical structure to explicitly test invariance of causal mechanisms under…

Many real-life applications involve simultaneously forecasting multiple time series that are hierarchically related via aggregation or disaggregation operations. For instance, commercial organizations often want to forecast inventories…

Machine Learning · Computer Science 2021-02-26 Xing Han , Sambarta Dasgupta , Joydeep Ghosh

Multivariate time series forecasting with hierarchical structure is widely used in real-world applications, e.g., sales predictions for the geographical hierarchy formed by cities, states, and countries. The hierarchical time series (HTS)…

Machine Learning · Computer Science 2023-10-10 Fan Zhou , Chen Pan , Lintao Ma , Yu Liu , Shiyu Wang , James Zhang , Xinxin Zhu , Xuanwei Hu , Yunhua Hu , Yangfei Zheng , Lei Lei , Yun Hu

The maritime industry's continuous commitment to sustainability has led to a dedicated exploration of methods to reduce vessel fuel consumption. This paper undertakes this challenge through a machine learning approach, leveraging a…

Machine Learning · Computer Science 2024-03-22 Yimeng Fan , Pedram Agand , Mo Chen , Edward J. Park , Allison Kennedy , Chanwoo Bae

Hierarchical models are versatile tools for joint modeling of data sets arising from different, but related, sources. Fully Bayesian inference may, however, become computationally prohibitive if the source-specific data models are complex,…

Computation · Statistics 2016-05-06 Ritabrata Dutta , Paul Blomstedt , Samuel Kaski

In this paper, we develop Bayesian predictive inferential procedures for prediction of repair times of a series system, applying a minimal repair strategy, using the information contained in an independent observed hybrid censored sample of…

Statistics Theory · Mathematics 2015-05-26 S. M. T. K. MirMostafaee , Morteza Amini , A. Asgharzadeh

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…

Methodology · Statistics 2021-01-12 Anna K. Yanchenko , Di Daniel Deng , Jinglan Li , Andrew J. Cron , Mike West

When developing Bayesian hierarchical models, selecting the most appropriate hierarchical structure can be a challenging task, and visualisation remains an underutilised tool in this context. In this paper, we consider visualisations for…

Methodology · Statistics 2024-12-05 Oluwayomi Akinfenwa , Niamh Cahill , Catherine Hurley

Open Banking powered machine learning applications require novel robustness approaches to deal with challenging stress and failure scenarios. In this paper we propose an hierarchical fallback architecture for improving robustness in high…

Machine Learning · Computer Science 2025-01-30 Gustavo Polleti , Marlesson Santana , Felipe Sassi Del Sant , Eduardo Fontes

Broadcasting systems have to deal with channel diversity in order to offer the best rate to the users. Hierarchical modulation is a practical solution to provide several rates in function of the channel quality. Unfortunately the…

Information Theory · Computer Science 2011-03-08 Hugo Méric , Jérôme Lacan , Caroline Amiot-Bazile , Fabrice Arnal , Marie-Laure Boucheret

A common use of machine learning (ML) models is predicting the class of a sample. Object detection is an extension of classification that includes localization of the object via a bounding box within the sample. Classification, and by…

Machine Learning · Computer Science 2025-08-07 Erin Lanus , Daniel Wolodkin , Laura J. Freeman

A Bayesian network is a widely used probabilistic graphical model with applications in knowledge discovery and prediction. Learning a Bayesian network (BN) from data can be cast as an optimization problem using the well-known…

Artificial Intelligence · Computer Science 2020-09-01 Zhenyu A. Liao , Charupriya Sharma , James Cussens , Peter van Beek

Estimating the probability of failure for expensive simulations is a central task in reliability analysis for structural design, power grid design, and safety certification, among other areas. This work derives credible intervals on the…

Methodology · Statistics 2026-03-16 Aleksei G. Sorokin , Vishwas Rao

The article is focused on studying how to predict the failure times of coherent systems from the early failure times of their components. Both the cases of independent and dependent components are considered by assuming that they are…

Applications · Statistics 2024-09-30 Jorge Navarro , Antonio Arriaza , Alfonso Suárez-Llorens

Well-calibrated probabilistic regression models are a crucial learning component in robotics applications as datasets grow rapidly and tasks become more complex. Unfortunately, classical regression models are usually either probabilistic…

Machine Learning · Computer Science 2023-09-12 Hany Abdulsamad , Peter Nickl , Pascal Klink , Jan Peters

Aiming for accurate estimation of system reliability of load-sharing systems, a flexible model for such systems is constructed by approximating the cumulative hazard functions of component lifetimes using piecewise linear functions. The…

Methodology · Statistics 2023-01-05 Shilpi Biswas , Ayon Ganguly , Debanjan Mitra

In this paper, we model the trajectory of sea vessels and provide a service that predicts in near-real time the position of any given vessel in 4', 10', 20' and 40' time intervals. We explore the necessary tradeoffs between accuracy,…

Considering the flexibility and applicability of Bayesian modeling, in this work we revise the main characteristics of two hierarchical models in a regression setting. We study the full probabilistic structure of the models along with the…

Methodology · Statistics 2021-10-22 Juan Sosa , Jeimy Aristizabal

In this paper, we explore the class of the Hidden Semi-Markov Model (HSMM), a flexible extension of the popular Hidden Markov Model (HMM) that allows the underlying stochastic process to be a semi-Markov chain. HSMMs are typically used less…

Applications · Statistics 2023-01-26 Patrick Aschermayr , Konstantinos Kalogeropoulos

Recent technological advances have made it possible to simultaneously measure multiple protein activities at the single cell level. With such data collected under different stimulatory or inhibitory conditions, it is possible to infer the…

Applications · Statistics 2011-08-04 Ruiyan Luo , Hongyu Zhao