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The likelihood function plays a pivotal role in statistical inference; it is adaptable to a wide range of models and the resultant estimators are known to have good properties. However, these results hinge on correct specification of the…

统计理论 · 数学 2017-12-15 Adam Jaeger , Nicole Lazar

In scientific studies involving analyses of multivariate data, basic but important questions often arise for the researcher: Is the sample exchangeable, meaning that the joint distribution of the sample is invariant to the ordering of the…

统计方法学 · 统计学 2023-08-31 Alan J. Aw , Jeffrey P. Spence , Yun S. Song

The vast majority of network datasets contains errors and omissions, although this is rarely incorporated in traditional network analysis. Recently, an increasing effort has been made to fill this methodological gap by developing network…

社会与信息网络 · 计算机科学 2018-10-19 Tiago P. Peixoto

Ensembles over neural network weights trained from different random initialization, known as deep ensembles, achieve state-of-the-art accuracy and calibration. The recently introduced batch ensembles provide a drop-in replacement that is…

机器学习 · 计算机科学 2021-01-11 Florian Wenzel , Jasper Snoek , Dustin Tran , Rodolphe Jenatton

Quantifying uncertainty in automatically generated text is important for letting humans check potential hallucinations and making systems more reliable. Conformal prediction is an attractive framework to provide predictions imbued with…

计算与语言 · 计算机科学 2024-02-02 Dennis Ulmer , Chrysoula Zerva , André F. T. Martins

Design-based causal inference, also known as randomization-based or finite-population causal inference, is one of the most widely used causal inference frameworks, largely due to the merit that its validity can be guaranteed by study design…

统计方法学 · 统计学 2025-05-27 Siyu Heng , Jiawei Zhang , Yang Feng

Bayesian likelihood-free methods implement Bayesian inference using simulation of data from the model to substitute for intractable likelihood evaluations. Most likelihood-free inference methods replace the full data set with a summary…

统计方法学 · 统计学 2020-10-16 Yinan Mao , Xueou Wang , David J. Nott , Michael Evans

This paper presents a general and efficient framework for probabilistic inference and learning from arbitrary uncertain information. It exploits the calculation properties of finite mixture models, conjugate families and factorization. Both…

人工智能 · 计算机科学 2011-05-19 M. C. Garrido , P. E. Lopez-de-Teruel , A. Ruiz

A fundamental problem in the analysis of network data is the detection of network communities, groups of densely interconnected nodes, which may be overlapping or disjoint. Here we describe a method for finding overlapping communities based…

社会与信息网络 · 计算机科学 2015-03-19 Brian Ball , Brian Karrer , M. E. J. Newman

Advances in artificial intelligence (AI) and deep learning have led to neural networks being used to generate lightning-speed answers to complex science questions, paintings in the style of Monet, or stories like those of Twain. Leveraging…

统计方法学 · 统计学 2026-02-25 Matthew Sainsbury-Dale , Andrew Zammit-Mangion , Noel Cressie , Raphaël Huser

A fundamental computation for statistical inference and accurate decision-making is to compute the marginal probabilities or most probable states of task-relevant variables. Probabilistic graphical models can efficiently represent the…

机器学习 · 计算机科学 2019-06-28 KiJung Yoon , Renjie Liao , Yuwen Xiong , Lisa Zhang , Ethan Fetaya , Raquel Urtasun , Richard Zemel , Xaq Pitkow

Community detection is one of the most important problems in network analysis. Among many algorithms proposed for this task, methods based on statistical inference are of particular interest: they are mathematically sound and were shown to…

社会与信息网络 · 计算机科学 2019-02-25 Liudmila Prokhorenkova , Alexey Tikhonov

We present a probabilistic generative model and efficient algorithm to model reciprocity in directed networks. Unlike other methods that address this problem such as exponential random graphs, it assigns latent variables as community…

社会与信息网络 · 计算机科学 2022-09-07 Hadiseh Safdari , Martina Contisciani , Caterina De Bacco

Recent advances in probabilistic modelling have led to a large number of simulation-based inference algorithms which do not require numerical evaluation of likelihoods. However, a public benchmark with appropriate performance metrics for…

Generative, temporal network models play an important role in analyzing the dependence structure and evolution patterns of complex networks. Due to the complicated nature of real network data, it is often naive to assume that the underlying…

统计方法学 · 统计学 2024-08-15 Daniel Cirkovic , Tiandong Wang , Xianyang Zhang

Simulation models, in particular agent-based models, are gaining popularity in economics. The considerable flexibility they offer, as well as their capacity to reproduce a variety of empirically observed behaviours of complex systems, give…

计量经济学 · 经济学 2024-02-20 Joel Dyer , Patrick Cannon , J. Doyne Farmer , Sebastian Schmon

Many models of interest in the natural and social sciences have no closed-form likelihood function, which means that they cannot be treated using the usual techniques of statistical inference. In the case where such models can be…

统计计算 · 统计学 2012-07-19 Simon Barthelmé , Nicolas Chopin

Deep latent variable models (DLVMs) combine the approximation abilities of deep neural networks and the statistical foundations of generative models. Variational methods are commonly used for inference; however, the exact likelihood of…

机器学习 · 统计学 2018-06-29 Pierre-Alexandre Mattei , Jes Frellsen

To adopt neural networks in safety critical domains, knowing whether we can trust their predictions is crucial. Bayesian neural networks (BNNs) provide uncertainty estimates by averaging predictions with respect to the posterior weight…

机器学习 · 计算机科学 2021-03-17 Jannik Schmitt , Stefan Roth

Latent space models have been widely adopted in modeling network data. Developing statistical inference for estimated model parameters enables quantifying associated uncertainty and is pivotal for downstream tasks. Despite recent progress…

统计理论 · 数学 2026-05-12 Yuang Tian , Jiajin Sun , Yinqiu He