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We propose a model-based lifelong reinforcement-learning approach that estimates a hierarchical Bayesian posterior distilling the common structure shared across different tasks. The learned posterior combined with a sample-based Bayesian…

Machine Learning · Computer Science 2022-10-24 Haotian Fu , Shangqun Yu , Michael Littman , George Konidaris

Traditional reliability analysis has been using time to event data, degradation data, and recurrent event data, while the associated covariates tend to be simple and constant over time. Over the past years, we have witnessed the rapid…

Applications · Statistics 2019-08-27 Yueyao Wang , I-Chen Lee , Lu Lu , Yili Hong

Linear programming is widely used for decision-making in science, engineering, and operations research, yet in many modern applications the coefficients entering the constraints and objective are not known exactly and must be learned from…

Other Statistics · Statistics 2026-03-09 Debashis Chatterjee

Approximate Bayesian computation (ABC) have become a essential tool for the analysis of complex stochastic models. Earlier, Grelaud et al. (2009) advocated the use of ABC for Bayesian model choice in the specific case of Gibbs random…

Methodology · Statistics 2015-03-19 Christian P. Robert , Jean-Marie Cornuet , Jean-Michel Marin , Natesh Pillai

Predictive maintenance of railway infrastructure, especially railroads, is essential to ensure safety. However, accurate prediction of crack evolution represents a major challenge due to the complex interactions between intrinsic and…

Machine Learning · Computer Science 2024-10-22 Sara Yasmine Ouerk , Olivier Vo Van , Mouadh Yagoubi

1. Challenging calibration of complex models can be approached by using prior knowledge on the parameters. However, the natural choice of Bayesian inference can be computationally heavy when relying on Markov Chain Monte Carlo (MCMC)…

Applications · Statistics 2023-04-27 Charlotte Baey , Henrik G. Smith , Maj Rundlöf , Ola Olsson , Yann Clough , Ullrika Sahlin

The log-Lindley distribution was recently introduced in the literature as a viable alternative to the Beta distribution. This distribution has a simple structure and possesses useful theoretical properties relevant in insurance. Classical…

Statistics Theory · Mathematics 2019-09-06 Aniket Biswas , Subrata Chakraborty , Meghna Mukherjee

Many scientifically well-motivated statistical models in natural, engineering, and environmental sciences are specified through a generative process. However, in some cases, it may not be possible to write down the likelihood for these…

Methodology · Statistics 2020-11-17 Sanjay Chaudhuri , Subhroshekhar Ghosh , David J. Nott , Kim Cuc Pham

Repetitive loading of bone is associated with microdamage accumulation and material property degradation that may ultimately result in fatigue fracture. Our previous work used continuum damage mechanics (CDM)-based finite element (FE)…

Medical Physics · Physics 2025-04-23 Reza Kakavand , Jonah M. Dimnik , Ifaz T. Haider , W. Brent Edwards

A constitutive model based on the combination of damage mechanics and plasticity is developed to analyse the failure of concrete structures. The aim is to obtain a model, which describes the important characteristics of the failure process…

Materials Science · Physics 2013-07-29 Peter Grassl , Dimitrios Xenos , Ulrika Nystrom , Rasmus Rempling , Kent Gylltoft

Procedural material models have been gaining traction in many applications thanks to their flexibility, compactness, and easy editability. We explore the inverse rendering problem of procedural material parameter estimation from…

Graphics · Computer Science 2025-04-22 Yu Guo , Milos Hasan , Lingqi Yan , Shuang Zhao

Insurance products frequently cover significant claims arising from a variety of sources. To model losses from these products accurately, actuarial models must account for high-severity claims. A widely used strategy is to apply a mixture…

Methodology · Statistics 2025-04-30 Sébastien Jessup , Mélina Mailhot , Mathieu Pigeon

We develop a Bayesian framework for variable selection in linear regression with autocorrelated errors, accommodating lagged covariates and autoregressive structures. This setting occurs in time series applications where responses depend on…

Methodology · Statistics 2025-08-18 Alokesh Manna , Sujit K. Ghosh

Survival models are used in various fields, such as the development of cancer treatment protocols. Although many statistical and machine learning models have been proposed to achieve accurate survival predictions, little attention has been…

Machine Learning · Computer Science 2020-03-26 Hrushikesh Loya , Pranav Poduval , Deepak Anand , Neeraj Kumar , Amit Sethi

Bayesian decision analysis is a useful method for risk management decisions, but is limited in its ability to consider severe uncertainty in knowledge, and value ambiguity in management objectives. We study the use of robust Bayesian…

Applications · Statistics 2022-07-15 Ullrika Sahlin , Matthias C. M. Troffaes , Lennart Edsman

Creep under a sustained load can persist for long times yet culminate in abrupt yielding or rupture, implying a finite lifetime even when the material appears solid. Here, we formulate lifetime prediction as Bayesian inference over an…

Materials Science · Physics 2026-04-01 Juan Carlos Verano-Espitia , Tero Mäkinen , Mikko J. Alava , Jérôme Weiss

In this work, we propose a parameter estimation framework for fracture propagation problems. The fracture problem is described by a phase-field method. Parameter estimation is realized with a Bayesian framework. Here, the focus is on…

Numerical Analysis · Mathematics 2020-06-22 Amirreza Khodadadian , Nima Noii , Maryam Parvizi , Mostafa Abbaszadeh , Thomas Wick , Clemens Heitzinger

In this work, we study the use of logistic regression in manufacturing failures detection. As a data set for the analysis, we used the data from Kaggle competition Bosch Production Line Performance. We considered the use of machine…

Machine Learning · Computer Science 2016-12-31 B. Pavlyshenko

Tree-based ensemble methods, as Random Forests and Gradient Boosted Trees, have been successfully used for regression in many applications and research studies. Furthermore, these methods have been extended in order to deal with uncertainty…

Machine Learning · Computer Science 2018-11-20 Myriam Tami , Marianne Clausel , Emilie Devijver , Adrien Dulac , Eric Gaussier , Stefan Janaqi , Meriam Chebre

Approximate Bayesian computation (ABC) has become an essential tool for the analysis of complex stochastic models when the likelihood function is numerically unavailable. However, the well-established statistical method of empirical…

Computation · Statistics 2015-06-05 K. L. Mengersen , P. Pudlo , C. P. Robert