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We study the stability of posterior predictive inferences to the specification of the likelihood model and perturbations of the data generating process. In modern big data analyses, useful broad structural judgements may be elicited from…

统计方法学 · 统计学 2024-04-30 Jack Jewson , Jim Q. Smith , Chris Holmes

Bayesian neural Networks (BNNs) are a promising method of obtaining statistical uncertainties for neural network predictions but with a higher computational overhead which can limit their practical usage. This work explores the use of high…

机器学习 · 计算机科学 2020-09-09 Himanshu Sharma , Elise Jennings

Deep learning models are being used for the analysis of parametric statistical models based on simulation-only frameworks. Bayesian models using normalizing flows simulate data from a prior distribution and are composed of two deep neural…

统计理论 · 数学 2026-03-12 Stefan Böhringer

Extremely large antenna arrays and high-frequency operation are two key technologies that advance performance metrics such as higher data rates, lower latency, and wider coverage in sixth-generation communications. However, the adoption of…

信号处理 · 电气工程与系统科学 2026-02-26 Van-Chung Luu , Toan-Van Nguyen , Nuria González-Prelcic , Duy H. N. Nguyen

We consider stochastic optimization under distributional uncertainty, where the unknown distributional parameter is estimated from streaming data that arrive sequentially over time. Moreover, data may depend on the decision of the time when…

最优化与控制 · 数学 2023-10-17 Tianyi Liu , Yifan Lin , Enlu Zhou

Stability selection is a versatile framework for structure estimation and variable selection in high-dimensional setting, primarily grounded in frequentist principles. In this paper, we propose an enhanced methodology that integrates…

统计方法学 · 统计学 2026-05-05 Mahdi Nouraie , Connor Smith , Samuel Muller

The performance of sensor arrays in sensing and wireless communications improves with more elements, but this comes at the cost of increased energy consumption and hardware expense. This work addresses the challenge of selecting $k$ sensor…

机器学习 · 计算机科学 2024-07-30 Spilios Evmorfos , Zhaoyi Xu , Athina Petropulu

Hierarchical models are versatile tools for joint modeling of data sets arising from different, but related, sources. Fully Bayesian inference may, however, become computationally prohibitive if the source-specific data models are complex,…

统计计算 · 统计学 2016-05-06 Ritabrata Dutta , Paul Blomstedt , Samuel Kaski

We present FlowSN, a statistical framework using simulation-based inference (SBI) with normalising flows to account for selection effects in observational astronomy. Failure to account for selection effects can lead to biased inference on…

Bayesian neural network models (BNN) have re-surged in recent years due to the advancement of scalable computations and its utility in solving complex prediction problems in a wide variety of applications. Despite the popularity and…

机器学习 · 统计学 2020-11-20 Shrijita Bhattacharya , Zihuan Liu , Tapabrata Maiti

Bayesian neural networks (BNN) can estimate the uncertainty in predictions, as opposed to non-Bayesian neural networks (NNs). However, BNNs have been far less widely used than non-Bayesian NNs in practice since they need iterative NN…

机器学习 · 计算机科学 2022-02-15 Namuk Park , Taekyu Lee , Songkuk Kim

Reliable predictive uncertainty estimation plays an important role in enabling the deployment of neural networks to safety-critical settings. A popular approach for estimating the predictive uncertainty of neural networks is to define a…

机器学习 · 统计学 2023-12-29 Tim G. J. Rudner , Zonghao Chen , Yee Whye Teh , Yarin Gal

Traffic flow count data in networks arise in many applications, such as automobile or aviation transportation, certain directed social network contexts, and Internet studies. Using an example of Internet browser traffic flow through…

统计方法学 · 统计学 2022-06-07 Xi Chen , Kaoru Irie , David Banks , Robert Haslinger , Jewell Thomas , Mike West

Generative Flow Networks (GFlowNets) are amortized samplers that learn stochastic policies to sequentially generate compositional objects from a given unnormalized reward distribution. They can generate diverse sets of high-reward objects,…

机器学习 · 计算机科学 2023-10-06 Ling Pan , Moksh Jain , Kanika Madan , Yoshua Bengio

This paper describes a new algorithm for exact Bayesian inference that is based on a recently proposed compositional semantics of Bayesian networks in terms of channels. The paper concentrates on the ideas behind this algorithm, involving a…

人工智能 · 计算机科学 2018-04-24 Bart Jacobs

Reconstructing fluid flows from sparse sensor measurements is a fundamental challenge in science and engineering. Widely separated measurements and complex, multiscale dynamics make accurate recovery of fine-scale structures difficult. In…

流体动力学 · 物理学 2026-03-02 Maksym Veremchuk , K. Andrea Scott , Zhao Pan

Inverse medium scattering solvers generally reconstruct a single solution without an associated measure of uncertainty. This is true both for the classical iterative solvers and for the emerging deep learning methods. But ill-posedness and…

机器学习 · 计算机科学 2022-12-12 AmirEhsan Khorashadizadeh , Ali Aghababaei , Tin Vlašić , Hieu Nguyen , Ivan Dokmanić

Despite the popularism of Bayesian neural networks in recent years, its use is somewhat limited in complex and big data situations due to the computational cost associated with full posterior evaluations. Variational Bayes (VB) provides a…

机器学习 · 统计学 2020-06-30 Shrijita Bhattacharya , Tapabrata Maiti

We propose a novel class of dynamic shrinkage processes for Bayesian time series and regression analysis. Building upon a global-local framework of prior construction, in which continuous scale mixtures of Gaussian distributions are…

统计方法学 · 统计学 2019-07-02 Daniel R. Kowal , David S. Matteson , David Ruppert

Sum-product networks (SPNs) are probabilistic models characterized by exact and fast evaluation of fundamental probabilistic operations. Its superior computational tractability has led to applications in many fields, such as machine…

机器学习 · 统计学 2024-06-19 Soma Yokoi , Issei Sato