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This chapter provides a overview of Bayesian inference, mostly emphasising that it is a universal method for summarising uncertainty and making estimates and predictions using probability statements conditional on observed data and an…

统计方法学 · 统计学 2010-02-11 Christian P. Robert , Jean-Michel Marin , Judith Rousseau

Raking is widely used in categorical data modeling and survey practice but faced with methodological and computational challenges. We develop a Bayesian paradigm for raking by incorporating the marginal constraints as a prior distribution…

统计方法学 · 统计学 2020-06-24 Yajuan Si , Peigen Zhou

Fienberg convincingly demonstrates that Bayesian models and methods represent a powerful approach to squeezing illumination from data in public policy settings. However, no school of inference is without its weaknesses, and, in the face of…

统计方法学 · 统计学 2011-08-19 David J. Hand

Bayesian inference provides a rigorous framework to encapsulate our knowledge and uncertainty regarding various physical quantities in a well-defined and self-contained manner. Utilising modern tools, such Bayesian models can be constructed…

高能物理 - 格点 · 物理学 2024-01-02 Julien Frison

The Bayesian approach to data analysis provides a powerful way to handle uncertainty in all observations, model parameters, and model structure using probability theory. Probabilistic programming languages make it easier to specify and fit…

The Bayesian statistical paradigm provides a principled and coherent approach to probabilistic forecasting. Uncertainty about all unknowns that characterize any forecasting problem -- model, parameters, latent states -- is able to be…

Artificial Intelligence (AI), and in particular, the explainability thereof, has gained phenomenal attention over the last few years. Whilst we usually do not question the decision-making process of these systems in situations where only…

人工智能 · 计算机科学 2021-01-29 Iena Petronella Derks , Alta de Waal

The papers in this collection are superb illustrations of the power of modern Bayesian methods. They give examples of problems which are well suited to being tackled using such methods, but one must not lose sight of the merits of having…

统计方法学 · 统计学 2014-05-21 David J. Hand

We argue here about the relevance and the ultimate unity of the Bayesian approach in a neutral and agnostic manner. Our main theme is that Bayesian data analysis is an effective tool for handling complex models, as proven by the increasing…

统计方法学 · 统计学 2010-03-26 Christian P. Robert

The application of Bayesian methods in cosmology and astrophysics has flourished over the past decade, spurred by data sets of increasing size and complexity. In many respects, Bayesian methods have proven to be vastly superior to more…

天体物理学 · 物理学 2009-06-23 Roberto Trotta

Various AI models are increasingly being considered as part of clinical decision-support tools. However, the trustworthiness of such models is rarely considered. Clinicians are more likely to use a model if they can understand and trust its…

人工智能 · 计算机科学 2020-03-09 Evangelia Kyrimi , Somayyeh Mossadegh , Nigel Tai , William Marsh

A comprehensive artificial intelligence system needs to not only perceive the environment with different `senses' (e.g., seeing and hearing) but also infer the world's conditional (or even causal) relations and corresponding uncertainty.…

机器学习 · 统计学 2021-01-07 Hao Wang , Dit-Yan Yeung

Bayesian models are a powerful tool for studying complex data, allowing the analyst to encode rich hierarchical dependencies and leverage prior information. Most importantly, they facilitate a complete characterization of uncertainty…

机器学习 · 统计学 2023-04-25 Steven Winter , Trevor Campbell , Lizhen Lin , Sanvesh Srivastava , David B. Dunson

Stacking is a widely used model averaging technique that asymptotically yields optimal predictions among linear averages. We show that stacking is most effective when model predictive performance is heterogeneous in inputs, and we can…

统计方法学 · 统计学 2021-10-29 Yuling Yao , Gregor Pirš , Aki Vehtari , Andrew Gelman

Model inadequacy and measurement uncertainty are two of the most confounding aspects of inference and prediction in quantitative sciences. The process of scientific inference (the inverse problem) and prediction (the forward problem)…

数据分析、统计与概率 · 物理学 2017-11-30 Amir Shahmoradi

We consider the problem of how decision making can be fair when the underlying probabilistic model of the world is not known with certainty. We argue that recent notions of fairness in machine learning need to explicitly incorporate…

机器学习 · 计算机科学 2018-11-06 Christos Dimitrakakis , Yang Liu , David Parkes , Goran Radanovic

The authors are doing the readers of Statistical Science a true service with a well-written and up-to-date overview of boosting that originated with the seminal algorithms of Freund and Schapire. Equally, we are grateful for high-level…

统计方法学 · 统计学 2008-12-18 Andreas Buja , David Mease , Abraham J. Wyner

Deep neural networks have achieved impressive results on a wide variety of tasks. However, quantifying uncertainty in the network's output is a challenging task. Bayesian models offer a mathematical framework to reason about model…

机器学习 · 计算机科学 2019-05-28 Manikanta Srikar Yellapragada , Chandra Prakash Konkimalla

We explore the notion of uncertainty in the context of modern abstractive summarization models, using the tools of Bayesian Deep Learning. Our approach approximates Bayesian inference by first extending state-of-the-art summarization models…

计算与语言 · 计算机科学 2022-05-04 Alexios Gidiotis , Grigorios Tsoumakas

The modern era is characterised as an era of information or Big Data. This has motivated a huge literature on new methods for extracting information and insights from these data. A natural question is how these approaches differ from those…

统计计算 · 统计学 2020-06-09 Farzana Jahan , Insha Ullah , Kerrie L Mengersen
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