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We consider the problem of estimating the class prior in an unlabeled dataset. Under the assumption that an additional labeled dataset is available, the class prior can be estimated by fitting a mixture of class-wise data distributions to…

机器学习 · 计算机科学 2016-11-08 Marthinus C. du Plessis , Gang Niu , Masashi Sugiyama

We consider a general class of empirical-type likelihoods and develop higher order asymptotics with a view to characterizing members thereof that allow the existence of possibly data-dependent probability matching priors ensuring…

统计理论 · 数学 2008-12-18 Rahul Mukerjee

To truly grasp reasoning ability, a Natural Language Inference model should be evaluated on counterfactual data. TabPert facilitates this by assisting in the generation of such counterfactual data for assessing model tabular reasoning…

计算与语言 · 计算机科学 2021-08-03 Nupur Jain , Vivek Gupta , Anshul Rai , Gaurav Kumar

Hypothesis testing in high dimensional data is a notoriously difficult problem without direct access to competing models' likelihood functions. This paper argues that statistical divergences can be used to quantify the difference between…

数据分析、统计与概率 · 物理学 2024-08-02 Jeremy J. H. Wilkinson , Christopher G. Lester

Nowadays model uncertainty has become one of the most important problems in both academia and industry. In this paper, we mainly consider the scenario in which we have a common model set used for model averaging instead of selecting a…

机器学习 · 计算机科学 2023-01-26 Yimin Huang , Weiran Huang , Liang Li , Zhenguo Li

Mitigating bias in training on biased datasets is an important open problem. Several techniques have been proposed, however the typical evaluation regime is very limited, considering very narrow data conditions. For instance, the effect of…

机器学习 · 计算机科学 2022-10-18 Xudong Han , Aili Shen , Trevor Cohn , Timothy Baldwin , Lea Frermann

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

Individuals with similar qualifications and skills may vary in their demeanor, or outward manner: some tend toward self-promotion while others are modest to the point of omitting crucial information. Comparing the self-descriptions of…

机器学习 · 计算机科学 2026-02-26 Elbert Du , Cynthia Dwork , Lunjia Hu , Reid McIlroy-Young , Han Shao , Linjun Zhang

Constraints are a natural choice for prior information in Bayesian inference. In various applications, the parameters of interest lie on the boundary of the constraint set. In this paper, we use a method that implicitly defines a…

统计理论 · 数学 2022-09-27 Jasper Marijn Everink , Yiqiu Dong , Martin Skovgaard Andersen

Binary classification is a task that involves the classification of data into one of two distinct classes. It is widely utilized in various fields. However, conventional classifiers tend to make overconfident predictions for data that…

机器学习 · 计算机科学 2025-03-13 Shoma Yokura , Akihisa Ichiki

The use of formal privacy to protect the confidentiality of responses in the 2020 Decennial Census of Population and Housing has triggered renewed interest and debate over how to measure the disclosure risks and societal benefits of the…

In earlier work, we introduced flexible inference and decision-theoretic metareasoning to address the intractability of normative inference. Here, rather than pursuing the task of computing beliefs and actions with decision models composed…

人工智能 · 计算机科学 2013-02-21 Eric J. Horvitz , Adrian Klein

Hyper-differential sensitivity analysis with respect to model discrepancy was recently developed to enable uncertainty quantification for optimization problems. The approach consists of two primary steps: (i) Bayesian calibration of the…

Especially when facing reliability data with limited information (e.g., a small number of failures), there are strong motivations for using Bayesian inference methods. These include the option to use information from physics-of-failure or…

统计方法学 · 统计学 2022-10-27 Qinglong Tian , Colin Lewis-Beck , Jarad Niemi , William Meeker

While the number and variety of models to explain opinion exchange dynamics is huge, attempts to justify the model results using empirical data are relatively rare. As linking to real data is essential for establishing model credibility,…

物理与社会 · 物理学 2015-05-18 Sven Banisch , Tanya Araújo

We introduce the BREASE framework for the Bayesian analysis of randomized controlled trials with a binary treatment and a binary outcome. Approaching the problem from a causal inference perspective, we propose parameterizing the likelihood…

统计方法学 · 统计学 2024-11-26 Nicholas J. Irons , Carlos Cinelli

Metric Elicitation (ME) is a framework for eliciting classification metrics that better align with implicit user preferences based on the task and context. The existing ME strategy so far is based on the assumption that users can most…

Similarity learning is a general problem to elicit useful representations by predicting the relationship between a pair of patterns. This problem is related to various important preprocessing tasks such as metric learning, kernel learning,…

机器学习 · 统计学 2022-03-02 Han Bao , Takuya Shimada , Liyuan Xu , Issei Sato , Masashi Sugiyama

We present an algorithm, called Predict, for updating beliefs in causal networks quantified with order-of-magnitude probabilities. The algorithm takes advantage of both the structure and the quantification of the network and presents a…

人工智能 · 计算机科学 2013-02-21 Moises Goldszmidt

This paper is an attempt to set a justification for making use of some dicrepancy indexes, starting from the classical Maximum Likelihood definition, and adapting the corresponding basic principle of inference to situations where…

统计理论 · 数学 2021-02-24 Michel Broniatowski