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Over a century ago, Oliver Wendell Holmes invited scholars to look at the law through the lens of probability theory: "The prophecies of what the courts will do in fact, and nothing more pretentious, are what I mean by the law." Yet few…

经济学 · 定量金融 2015-06-26 Enrique Guerra-Pujol

In this paper we study the problem of making predictions using multiple structural casual models defined by different agents, under the constraint that the prediction satisfies the criterion of counterfactual fairness. Relying on the…

人工智能 · 计算机科学 2021-05-25 Fabio Massimo Zennaro , Magdalena Ivanovska

Bayesian inference gets its name from *Bayes's theorem*, expressing posterior probabilities for hypotheses about a data generating process as the (normalized) product of prior probabilities and a likelihood function. But Bayesian inference…

统计方法学 · 统计学 2024-07-02 Thomas J. Loredo , Robert L. Wolpert

This paper presents a model of costly information acquisition where decision-makers can choose whether to elaborate information superficially or precisely. The former action is costless, while the latter entails a processing cost. Within…

综合经济学 · 经济学 2024-11-27 Federico Vaccari

We consider penalized regression models under a unified framework where the particular method is determined by the form of the penalty term. We propose a fully Bayesian approach that incorporates both sparse and dense settings and show how…

统计方法学 · 统计学 2019-07-25 Ding Xiang , Galin L. Jones

We offer a graphical interpretation of unfairness in a dataset as the presence of an unfair causal path in the causal Bayesian network representing the data-generation mechanism. We use this viewpoint to revisit the recent debate…

机器学习 · 统计学 2019-07-16 Silvia Chiappa , William S. Isaac

With the growing adoption of machine learning (ML) systems in areas like law enforcement, criminal justice, finance, hiring, and admissions, it is increasingly critical to guarantee the fairness of decisions assisted by ML. In this paper,…

机器学习 · 计算机科学 2024-05-17 Meiyu Zhong , Ravi Tandon

In statistical practice, whether a Bayesian or frequentist approach is used in inference depends not only on the availability of prior information but also on the attitude taken toward partial prior information, with frequentists tending to…

统计理论 · 数学 2012-05-02 David R. Bickel

Triggered by a recent interesting New Scientist article on the too frequent incorrect use of probabilistic evidence in courts, I introduce the basic concepts of probabilistic inference with a toy model, and discuss several important issues…

历史与综述 · 数学 2010-09-30 G. D'Agostini

Indirect inference (II) is a methodology for estimating the parameters of an intractable (generative) model on the basis of an alternative parametric (auxiliary) model that is both analytically and computationally easier to deal with. Such…

统计方法学 · 统计学 2015-05-14 Christopher C. Drovandi , Anthony N. Pettitt , Anthony Lee

Over the past two decades, the notion of implicit bias has come to serve as an important component in our understanding of discrimination in activities such as hiring, promotion, and school admissions. Research on implicit bias posits that…

计算机与社会 · 计算机科学 2018-01-12 Jon Kleinberg , Manish Raghavan

Bayesian hierarchical models are frequently used in practical data analysis contexts. One interpretation of these models is that they provide an indirect way of assigning a prior for unknown parameters, through the introduction of…

机器学习 · 统计学 2026-05-01 Brendon J. Brewer

Peer grading systems aggregate noisy reports from multiple students to approximate a true grade as closely as possible. Most current systems either take the mean or median of reported grades; others aim to estimate students' grading…

人工智能 · 计算机科学 2022-12-05 Hedayat Zarkoob , Greg d'Eon , Lena Podina , Kevin Leyton-Brown

Discrete choice models are commonly used by applied statisticians in numerous fields, such as marketing, economics, finance, and operations research. When agents in discrete choice models are assumed to have differing preferences, exact…

统计方法学 · 统计学 2010-06-04 Michael Braun , Jon McAuliffe

Bayesian nonparametric inferential procedures based on Markov chain Monte Carlo marginal methods typically yield point estimates in the form of posterior expectations. Though very useful and easy to implement in a variety of statistical…

统计理论 · 数学 2016-05-04 Julyan Arbel , Antonio Lijoi , Bernardo Nipoti

We present a framework for the efficient computation of optimal Bayesian decisions under intractable likelihoods, by learning a surrogate model for the expected utility (or its distribution) as a function of the action and data spaces. We…

机器学习 · 统计学 2023-11-13 Justin Alsing , Thomas D. P. Edwards , Benjamin Wandelt

Fair machine learning (ML) methods help identify and mitigate the risk that algorithms encode or automate social injustices. Algorithmic approaches alone cannot resolve structural inequalities, but they can support socio-technical decision…

机器学习 · 计算机科学 2026-04-24 Michelle Seng Ah Lee , Kirtan Padh , David Watson , Niki Kilbertus , Jatinder Singh

Variants of fluctuation theorems recently discovered in the statistical mechanics of non-equilibrium processes may be used for the efficient determination of high-dimensional integrals as typically occurring in Bayesian data analysis. In…

数据分析、统计与概率 · 物理学 2015-06-19 Alberto Favaro , Daniel Nickelsen , Elena Barykina , Andreas Engel

Variable selection techniques have become increasingly popular amongst statisticians due to an increased number of regression and classification applications involving high-dimensional data where we expect some predictors to be unimportant.…

统计方法学 · 统计学 2010-09-20 Anthony Lee , Francois Caron , Arnaud Doucet , Chris Holmes

In this paper we consider the problem of inference in statistical models characterized by moment restrictions by casting the problem within the Exponentially Tilted Empirical Likelihood (ETEL) framework. Because the ETEL function has a well…

统计方法学 · 统计学 2017-04-10 Siddhartha Chib , Minchul Shin , Anna Simoni
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