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Bayesian inference has many advantages in robotic motion planning over four perspectives: The uncertainty quantification of the policy, safety (risk-aware) and optimum guarantees of robot motions, data-efficiency in training of…

人工智能 · 计算机科学 2023-07-18 Chengmin Zhou , Chao Wang , Haseeb Hassan , Himat Shah , Bingding Huang , Pasi Fränti

A method for conducting Bayesian elicitation and learning in risk assessment is presented. It assumes that the risk process can be described as a fault tree. This is viewed as a belief network, for which prior distributions on primary event…

统计方法学 · 统计学 2019-04-08 Cristina De Persis , Jose Luis Bosque , Irene Huertas , Simon Paul Wilson

To quantify the operational risk capital charge under the current regulatory framework for banking supervision, referred to as Basel II, many banks adopt the Loss Distribution Approach. There are many modeling issues that should be resolved…

风险管理 · 定量金融 2010-06-15 Pavel V. Shevchenko

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…

其他统计学 · 统计学 2026-03-09 Debashis Chatterjee

In today's data-driven world, the proliferation of publicly available information raises security concerns due to the information leakage (IL) problem. IL involves unintentionally exposing sensitive information to unauthorized parties via…

机器学习 · 统计学 2025-06-02 Pritha Gupta , Marcel Wever , Eyke Hüllermeier

One of the impediments in advancing actuarial research and developing open source assets for insurance analytics is the lack of realistic publicly available datasets. In this work, we develop a workflow for synthesizing insurance datasets…

应用统计 · 统计学 2020-08-07 Kevin Kuo

The prediction of future insurance claims based on observed risk factors, or covariates, help the actuary set insurance premiums. Typically, actuaries use parametric regression models to predict claims based on the covariate information.…

统计方法学 · 统计学 2026-04-14 Mostafa Shams Esfand Abadi , Kaushik Ghosh

This paper focuses on modelling surrender time for policyholders in the context of life insurance. In this setup, a large lapse rate at the first months of a contract is often observed, with a decrease in this rate after some months. The…

应用统计 · 统计学 2022-07-18 Viviana G. R. Lobo , Thais C. O. Fonseca , Mariane B. Alves

It is often the case that risk assessment and prognostics are viewed as related but separate tasks. This chapter describes a risk-based approach to prognostics that seeks to provide a tighter coupling between risk assessment and fault…

系统与控制 · 电气工程与系统科学 2025-08-18 John W. Sheppard

In high energy physics, a widely used method to treat systematic uncertainties in confidence interval calculations is based on combining a frequentist construction of confidence belts with a Bayesian treatment of systematic uncertainties.…

数据分析、统计与概率 · 物理学 2009-11-10 Fredrik Tegenfeldt , Jan Conrad

Large language models often produce confident but incorrect outputs, creating a critical need for reliable uncertainty quantification with formal abstention guarantees. We introduce information-lift certificates that compare model…

机器学习 · 计算机科学 2025-11-20 Sanjeda Akter , Ibne Farabi Shihab , Anuj Sharma

According to different typologies of activity and priority, risks can assume diverse meanings and it can be assessed in different ways. In general risk is measured in terms of a probability combination of an event (frequency) and its…

物理与社会 · 物理学 2009-11-13 C. E. Bonafede , P. Giudici

The interpretation of seismic images faces challenges due to the presence of several uncertainty sources. Uncertainties exist in data measurements, source positioning, and subsurface geophysical properties. Understanding uncertainties' role…

This paper is motivated by computational challenges arising in multi-period valuation in insurance. Aggregate insurance liability cashflows typically correspond to stochastic payments several years into the future. However, insurance…

综合经济学 · 经济学 2023-01-24 Nils Engler , Filip Lindskog

Imagine a world where clinical trials need far fewer patients to achieve the same statistical power, thanks to the knowledge encoded in large language models (LLMs). We present a novel framework for hierarchical Bayesian modeling of adverse…

统计方法学 · 统计学 2025-11-21 Shota Arai , David Selby , Andrew Vargo , Sebastian Vollmer

The paper describes the use of Bayesian regression for building time series models and stacking different predictive models for time series. Using Bayesian regression for time series modeling with nonlinear trend was analyzed. This approach…

应用统计 · 统计学 2022-01-07 Bohdan M. Pavlyshenko

Implementing Bayesian inference is often computationally challenging in applications involving complex models, and sometimes calculating the likelihood itself is difficult. Synthetic likelihood is one approach for carrying out inference…

统计计算 · 统计学 2021-03-15 David T. Frazier , David J. Nott , Christopher Drovandi , Robert Kohn

Inferences about hypotheses are ubiquitous in the cognitive sciences. Bayes factors provide one general way to compare different hypotheses by their compatibility with the observed data. Those quantifications can then also be used to choose…

Modern Bayesian inference involves a mixture of computational techniques for estimating, validating, and drawing conclusions from probabilistic models as part of principled workflows for data analysis. Typical problems in Bayesian workflows…

We consider the problem of aggregating pairwise comparisons to obtain a consensus ranking order over a collection of objects. We use the popular Bradley-Terry-Luce (BTL) model which allows us to probabilistically describe pairwise…

信息论 · 计算机科学 2019-01-30 Mine Alsan , Ranjitha Prasad , Vincent Y. F. Tan