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Approximate Bayes Computations (ABC) are used for parameter inference when the likelihood function of the model is expensive to evaluate but relatively cheap to sample from. In particle ABC, an ensemble of particles in the product space of…

统计计算 · 统计学 2016-04-15 Carlo Albert , Hans R. Kuensch , Andreas Scheidegger

Given a decision process based on the approximate probability density function returned by a data assimilation algorithm, an interaction level between the decision making level and the data assimilation level is designed to incorporate the…

统计计算 · 统计学 2015-03-19 Gabriel Terejanu , Puneet Singla , Tarunraj Singh , Peter D. Scott

Evolution in nature illustrates that the creatures' biological structure and their sensorimotor skills adapt to the environmental changes for survival. Likewise, the ability to morph and acquire new skills can facilitate an embodied agent…

机器人学 · 计算机科学 2020-12-23 Xinlei Pan , Animesh Garg , Animashree Anandkumar , Yuke Zhu

A Bayesian data assimilation scheme is formulated for advection-dominated or hyperbolic evolutionary problems, and observations. The method is referred to as the dynamic likelihood filter because it exploits the model physics to dynamically…

动力系统 · 数学 2017-04-26 Juan M. Restrepo

Machine learning is driven by data, yet while their availability is constantly increasing, training data require laborious, time consuming and error-prone labelling or ground truth acquisition, which in some cases is very difficult or even…

计算机视觉与模式识别 · 计算机科学 2019-09-25 Vasileios Gkitsas , Antonis Karakottas , Nikolaos Zioulis , Dimitrios Zarpalas , Petros Daras

Simulation models for pedestrian crowds are a ubiquitous tool in research and industry. It is crucial that the parameters of these models are calibrated carefully and ultimately it will be of interest to compare competing models to decide…

多智能体系统 · 计算机科学 2020-05-13 Nikolai Bode

Approximate Bayesian computation (ABC) is an approach for sampling from an approximate posterior distribution in the presence of a computationally intractable likelihood function. A common implementation is based on simulating model,…

统计方法学 · 统计学 2013-01-16 D. Prangle , M. G. B. Blum , G. Popovic , S. A. Sisson

Approximate Bayesian computation (ABC) methods make use of comparisons between simulated and observed summary statistics to overcome the problem of computationally intractable likelihood functions. As the practical implementation of ABC…

统计方法学 · 统计学 2013-06-12 M. G. B. Blum , M. A. Nunes , D. Prangle , S. A. Sisson

Likelihood-free Bayesian inference algorithms are popular methods for calibrating the parameters of complex, stochastic models, required when the likelihood of the observed data is intractable. These algorithms characteristically rely…

统计计算 · 统计学 2021-12-23 Thomas P Prescott , David J Warne , Ruth E Baker

Science and Engineering applications are typically associated with expensive optimization problems to identify optimal design solutions and states of the system of interest. Bayesian optimization and active learning compute surrogate models…

机器学习 · 计算机科学 2024-07-09 Francesco Di Fiore , Michela Nardelli , Laura Mainini

For oceanographic applications, probabilistic forecasts typically have to deal with i) high-dimensional complex models, and ii) very sparse spatial observations. In search-and-rescue operations at sea, for instance, the short-term…

应用统计 · 统计学 2023-02-15 Florian Beiser , Håvard Heitlo Holm , Jo Eidsvik

We present asymptotic results for the regression-adjusted version of approximate Bayesian computation introduced by Beaumont(2002). We show that for an appropriate choice of the bandwidth, regression adjustment will lead to a posterior…

统计理论 · 数学 2017-11-29 Wentao Li , Paul Fearnhead

We introduce a novel combination of Bayesian Models (BMs) and Neural Networks (NNs) for making predictions with a minimum expected risk. Our approach combines the best of both worlds, the data efficiency and interpretability of a BM with…

机器学习 · 计算机科学 2021-09-28 Mathias Löwe , Per Lunnemann Hansen , Sebastian Risi

Data assimilation (DA) provides a general framework for estimation in dynamical systems based on the concepts of Bayesian inference. This constitutes a common basis for the different linear and nonlinear filtering and smoothing techniques…

Chaos is ubiquitous in physical systems. The associated sensitivity to initial conditions is a significant obstacle in forecasting the weather and other geophysical fluid flows. Data assimilation is the process whereby the uncertainty in…

数据分析、统计与概率 · 物理学 2020-11-03 Alberto Carrassi , Marc Bocquet , Jonathan Demaeyer , Colin Grudzien , Patrick Raanes , Stephane Vannitsem

Approximate Bayesian Computation (ABC) has become increasingly prominent as a method for conducting parameter inference in a range of challenging statistical problems, most notably those characterized by an intractable likelihood function.…

统计方法学 · 统计学 2018-06-21 David T. Frazier , Worapree Maneesoonthorn , Gael M. Martin , Brendan P. M. McCabe

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…

人工智能 · 计算机科学 2020-09-01 Zhenyu A. Liao , Charupriya Sharma , James Cussens , Peter van Beek

Parametric Bayesian modeling offers a powerful and flexible toolbox for machine learning. Yet the model, however detailed, may still be wrong, and this can make inferences untrustworthy. In this paper we introduce a new class of…

统计方法学 · 统计学 2026-04-03 Bohan Wu , Eli N. Weinstein , Sohrab Salehi , Yixin Wang , David M. Blei

Experimental design is a process of obtaining a product with target property via experimentation. Bayesian optimization offers a sample-efficient tool for experimental design when experiments are expensive. Often, expert experimenters have…

Modern epidemiological analytics increasingly use machine learning models that offer strong prediction but often lack calibrated uncertainty. Bayesian methods provide principled uncertainty quantification, yet are viewed as difficult to…

机器学习 · 统计学 2025-11-18 Debashis Chatterjee