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Reliability analysis typically relies on deterministic simulators, which yield repeatable outputs for identical inputs. However, many real-world systems display intrinsic randomness, requiring stochastic simulators whose outputs are random…

Methodology · Statistics 2025-07-08 A. Pires , M. Moustapha , S. Marelli , B. Sudret

We consider a class of queries called durability prediction queries that arise commonly in predictive analytics, where we use a given predictive model to answer questions about possible futures to inform our decisions. Examples of…

Databases · Computer Science 2021-04-02 Junyang Gao , Yifan Xu , Pankaj K. Agarwal , Jun Yang

In this paper, we propose a new stochastic optimization algorithm for Bayesian inference based on multilevel Monte Carlo (MLMC) methods. In Bayesian statistics, biased estimators of the model evidence have been often used as stochastic…

Machine Learning · Statistics 2021-02-26 Kei Ishikawa , Takashi Goda

Soil moisture is an important variable that determines floods, vegetation health, agriculture productivity, and land surface feedbacks to the atmosphere, etc. Accurately modeling soil moisture has important implications in both weather and…

Machine Learning · Computer Science 2020-11-30 Kuai Fang , Chaopeng Shen , Daniel Kifer

This work proposes a new machine learning (ML)-based paradigm aiming to enhance the computational efficiency of non-equilibrium reacting flow simulations while ensuring compliance with the underlying physics. The framework combines…

Computational Physics · Physics 2023-09-25 Ivan Zanardi , Simone Venturi , Marco Panesi

The forecasting of credit default risk has been an active research field for several decades. Historically, logistic regression has been used as a major tool due to its compliance with regulatory requirements: transparency, explainability,…

Machine Learning · Computer Science 2022-09-22 Dangxing Chen , Weicheng Ye

This paper addresses aircraft delays, emphasizing their impact on safety and financial losses. To mitigate these issues, an innovative machine learning (ML)-enhanced landing scheduling methodology is proposed, aiming to improve automation…

Artificial Intelligence · Computer Science 2023-11-28 Yutian Pang , Peng Zhao , Jueming Hu , Yongming Liu

Reliability estimation of Machine Learning (ML) models is becoming a crucial subject. This is particularly the case when such \mbox{models} are deployed in safety-critical applications, as the decisions based on model predictions can result…

Machine Learning · Computer Science 2022-06-23 Mohammed Naveed Akram , Akshatha Ambekar , Ioannis Sorokos , Koorosh Aslansefat , Daniel Schneider

Reliability is a fundamental challenge in operating large-scale machine learning (ML) infrastructures, particularly as the scale of ML models and training clusters continues to grow. Despite decades of research on infrastructure failures,…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-10 Apostolos Kokolis , Michael Kuchnik , John Hoffman , Adithya Kumar , Parth Malani , Faye Ma , Zachary DeVito , Shubho Sengupta , Kalyan Saladi , Carole-Jean Wu

Estimating probability of failure in aerospace systems is a critical requirement for flight certification and qualification. Failure probability estimation involves resolving tails of probability distribution, and Monte Carlo sampling…

Numerical Analysis · Mathematics 2022-09-22 S. Ashwin Renganathan , Vishwas Rao , Ionel M. Navon

Several methods have been proposed in the literature to solve reliability-based optimization problems, where failure probabilities are design constraints. However, few methods address the problem of life-cycle cost or risk optimization,…

Computation · Statistics 2020-07-09 H. M. Kroetz , M. Moustapha , A. T. Beck , B. Sudret

In traffic flow modeling, incorporating uncertainty is crucial for accurately capturing the complexities of real-world scenarios. In this work we focus on kinetic models of traffic flow, where a key step is to design effective numerical…

Numerical Analysis · Mathematics 2025-01-28 Elisa Iacomini , Lorenzo Pareschi

Machine learning (ML) techniques are increasingly common in security applications, such as malware and intrusion detection. However, ML models are often susceptible to evasion attacks, in which an adversary makes changes to the input (such…

Cryptography and Security · Computer Science 2019-05-14 Liang Tong , Bo Li , Chen Hajaj , Chaowei Xiao , Ning Zhang , Yevgeniy Vorobeychik

Meta-learning involves training models on a variety of training tasks in a way that enables them to generalize well on new, unseen test tasks. In this work, we consider meta-learning within the framework of high-dimensional multivariate…

Statistics Theory · Mathematics 2024-04-01 Yanhao Jin , Krishnakumar Balasubramanian , Debashis Paul

This paper illustrates an application of machine learning (ML) within a complex system that performs grade estimation. In surface mining, assay measurements taken from production drilling often provide useful information that allows…

Geophysics · Physics 2021-09-15 Raymond Leung , Mehala Balamurali , Alexander Lowe

Machine Learning (ML) models are susceptible to evasion attacks. Evasion accuracy is typically assessed using aggregate evasion rate, and it is an open question whether aggregate evasion rate enables feature-level diagnosis on the effect of…

Cryptography and Security · Computer Science 2021-07-01 Abderrahmen Amich , Birhanu Eshete

Estimating risk measures such as large loss probabilities and Value-at-Risk is fundamental in financial risk management and often relies on computationally intensive nested Monte Carlo methods. While Multi-Level Monte Carlo (MLMC)…

Computational Finance · Quantitative Finance 2025-10-23 Alexandre Boumezoued , Adel Cherchali , Vincent Lemaire , Gilles Pagès , Mathieu Truc

This paper proposes a synergy of amortised and particle-based methods for sampling from distributions defined by unnormalised density functions. We state a connection between sequential Monte Carlo (SMC) and neural sequential samplers…

Machine Learning · Computer Science 2025-10-14 Sanghyeok Choi , Sarthak Mittal , Víctor Elvira , Jinkyoo Park , Nikolay Malkin

Markov chain Monte Carlo (MCMC) simulation methods are widely used to assess parametric uncertainties of hydrologic models conditioned on measurements of observable state variables. However, when the model is CPU-intensive and…

Optimization and Control · Mathematics 2018-06-18 Jiangjiang Zhang , Jun Man , Guang Lin , Laosheng Wu , Lingzao Zeng

Computing the marginal likelihood (ML) of a model requires marginalizing out all of the parameters and latent variables, a difficult high-dimensional summation or integration problem. To make matters worse, it is often hard to measure the…

Machine Learning · Statistics 2015-11-10 Roger B. Grosse , Zoubin Ghahramani , Ryan P. Adams