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In Generalised Bayesian Inference (GBI), the learning rate and hyperparameters of the loss must be estimated. These inference-hyperparameters can't be estimated jointly with the other parameters, from the data, by giving them a prior.…

统计方法学 · 统计学 2026-05-18 Jeong Eun Lee , Sitong Liu , Geoff K. Nicholls

Simulation-based inference has been popular for amortized Bayesian computation. It is typical to have more than one posterior approximation, from different inference algorithms, different architectures, or simply the randomness of…

统计方法学 · 统计学 2024-03-04 Yuling Yao , Bruno Régaldo-Saint Blancard , Justin Domke

To check the accuracy of Bayesian computations, it is common to use rank-based simulation-based calibration (SBC). However, SBC has drawbacks: The test statistic is somewhat ad-hoc, interactions are difficult to examine, multiple testing is…

机器学习 · 统计学 2023-10-31 Yuling Yao , Justin Domke

Inference and decision making under uncertainty are key processes in every autonomous system and numerous robotic problems. In recent years, the similarities between inference and decision making triggered much work, from developing unified…

人工智能 · 计算机科学 2021-01-06 Elad I. Farhi , Vadim Indelman

It has become increasingly common to collect high-dimensional binary response data; for example, with the emergence of new sampling techniques in ecology. In smaller dimensions, multivariate probit (MVP) models are routinely used for…

统计方法学 · 统计学 2022-10-26 Antik Chakraborty , Rihui Ou , David B. Dunson

In prognostics and health management (PHM) of engineered systems, maintenance decisions are ideally informed by predictions of a system's remaining useful life (RUL) based on operational data. Model-based prognostics algorithms rely on a…

统计方法学 · 统计学 2026-01-23 Xinyu Jia , Iason Papaioannou , Daniel Straub

LibBi is a software package for state-space modelling and Bayesian inference on modern computer hardware, including multi-core central processing units (CPUs), many-core graphics processing units (GPUs) and distributed-memory clusters of…

统计计算 · 统计学 2013-06-17 Lawrence M. Murray

To accomplish correct Bayesian inference from weak lensing shear data requires a complete statistical description of the data. The natural framework to do this is a Bayesian Hierarchical Model, which divides the chain of reasoning into…

宇宙学与河外天体物理 · 物理学 2016-02-18 Alan Heavens , Justin Alsing , Andrew Jaffe , Till Hoffmann , Alina Kiessling , Benjamin Wandelt

We introduce two synthetic likelihood methods for Simulation-Based Inference (SBI), to conduct either amortized or targeted inference from experimental observations when a high-fidelity simulator is available. Both methods learn a…

机器学习 · 计算机科学 2023-04-19 Pierre Glaser , Michael Arbel , Samo Hromadka , Arnaud Doucet , Arthur Gretton

We present a Simulation-Based Inference (SBI) framework for cosmological parameter estimation via void lensing analysis. Despite the absence of an analytical model of void lensing, SBI can effectively learn posterior distributions through…

宇宙学与河外天体物理 · 物理学 2025-07-09 Chen Su , Huanyuan Shan , Cheng Zhao , Wenshuo Xu , Jiajun Zhang

We present Sequential Neural Variational Inference (SNVI), an approach to perform Bayesian inference in models with intractable likelihoods. SNVI combines likelihood-estimation (or likelihood-ratio-estimation) with variational inference to…

机器学习 · 统计学 2022-10-20 Manuel Glöckler , Michael Deistler , Jakob H. Macke

Machine learning enables systems to build and update domain models based on runtime observations. In this paper, we study statistical model checking and runtime verification for systems with this ability. Two challenges arise: (1) Models…

软件工程 · 计算机科学 2017-03-01 Lenz Belzner , Thomas Gabor

The Bayesian evidence, crucial ingredient for model selection, is arguably the most important quantity in Bayesian data analysis: at the same time, however, it is also one of the most difficult to compute. In this paper we present a…

统计方法学 · 统计学 2024-05-14 Stefano Rinaldi , Gabriele Demasi , Walter Del Pozzo , Otto A. Hannuksela

Simulation-Based Inference (SBI) is a common name for an emerging family of approaches that infer the model parameters when the likelihood is intractable. Existing SBI methods either approximate the likelihood, such as Approximate Bayesian…

机器学习 · 计算机科学 2023-11-29 Theo Gruner , Boris Belousov , Fabio Muratore , Daniel Palenicek , Jan Peters

Hierarchical learning models, such as mixture models and Bayesian networks, are widely employed for unsupervised learning tasks, such as clustering analysis. They consist of observable and hidden variables, which represent the given data…

机器学习 · 统计学 2018-01-08 Keisuke Yamazaki

Amortized Bayesian inference trains neural networks to solve stochastic inference problems using model simulations, thereby making it possible to rapidly perform Bayesian inference for any newly observed data. However, current…

机器学习 · 计算机科学 2024-07-16 Manuel Gloeckler , Michael Deistler , Christian Weilbach , Frank Wood , Jakob H. Macke

Identifying the parameters of a model and rating competitive models based on measured data has been among the most important but challenging topics in modern science and engineering, with great potential of application in structural system…

统计计算 · 统计学 2017-08-02 F. A. DiazDelaO , A. Garbuno-Inigo , S. K. Au , I. Yoshida

In the usual Bayesian setting, a full probabilistic model is required to link the data and parameters, and the form of this model and the inference and prediction mechanisms are specified via de Finetti's representation. In general, such a…

统计方法学 · 统计学 2026-01-21 Yu Luo , David A. Stephens , Daniel J. Graham , Emma J. McCoy

Building a machine learning solution in real-life applications often involves the decomposition of the problem into multiple models of various complexity. This has advantages in terms of overall performance, better interpretability of the…

人工智能 · 计算机科学 2020-05-27 Bashar Awwad Shiekh Hasan , Kate Kelly

Simulation-based falsification is a practical testing method to increase confidence that the system will meet safety requirements. Because full-fidelity simulations can be computationally demanding, we investigate the use of simulators with…

系统与控制 · 电气工程与系统科学 2023-05-02 Zahra Shahrooei , Mykel J. Kochenderfer , Ali Baheri