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We consider regression under the "extremely small $n$ large $p$" condition, where the number of samples $n$ is so small compared to the dimensionality $p$ that predictors cannot be estimated without prior knowledge. This setup occurs in…

Machine Learning · Computer Science 2017-02-08 Marta Soare , Muhammad Ammad-ud-din , Samuel Kaski

Learning predictive models from small high-dimensional data sets is a key problem in high-dimensional statistics. Expert knowledge elicitation can help, and a strong line of work focuses on directly eliciting informative prior distributions…

Machine Learning · Computer Science 2019-03-19 Homayun Afrabandpey , Tomi Peltola , Samuel Kaski

Providing accurate predictions is challenging for machine learning algorithms when the number of features is larger than the number of samples in the data. Prior knowledge can improve machine learning models by indicating relevant variables…

Artificial Intelligence · Computer Science 2017-01-17 Luana Micallef , Iiris Sundin , Pekka Marttinen , Muhammad Ammad-ud-din , Tomi Peltola , Marta Soare , Giulio Jacucci , Samuel Kaski

Regression under the "small $n$, large $p$" conditions, of small sample size $n$ and large number of features $p$ in the learning data set, is a recurring setting in which learning from data is difficult. With prior knowledge about…

Machine Learning · Computer Science 2017-07-27 Homayun Afrabandpey , Tomi Peltola , Samuel Kaski

The prior distribution for the unknown model parameters plays a crucial role in the process of statistical inference based on Bayesian methods. However, specifying suitable priors is often difficult even when detailed prior knowledge is…

Methodology · Statistics 2020-03-18 Marcelo Hartmann , Georgi Agiashvili , Paul Bürkner , Arto Klami

It is important to collect credible training samples $(x,y)$ for building data-intensive learning systems (e.g., a deep learning system). Asking people to report complex distribution $p(x)$, though theoretically viable, is challenging in…

Machine Learning · Computer Science 2021-02-26 Jiaheng Wei , Zuyue Fu , Yang Liu , Xingyu Li , Zhuoran Yang , Zhaoran Wang

A central characteristic of Bayesian statistics is the ability to consistently incorporate prior knowledge into various modeling processes. In this paper, we focus on translating domain expert knowledge into corresponding prior…

Methodology · Statistics 2024-04-16 Florence Bockting , Stefan T. Radev , Paul-Christian Bürkner

This article introduces a new method for eliciting prior distributions from experts. The method models an expert decision-making process to infer a prior probability distribution for a rare event $A$. More specifically, assuming there…

Methodology · Statistics 2023-07-17 Julia R. Falconer , Eibe Frank , Devon L. L. Polaschek , Chaitanya Joshi

Although the usefulness of belief networks for reasoning under uncertainty is widely accepted, obtaining numerical probabilities that they require is still perceived a major obstacle. Often not enough statistical data is available to allow…

Artificial Intelligence · Computer Science 2013-02-21 Marek J. Druzdzel , Linda C. van der Gaag

Property elicitation studies which attributes of a probability distribution can be determined by minimizing a risk. We investigate a generalization of property elicitation to imprecise probabilities (IP). This investigation is motivated by…

Machine Learning · Statistics 2025-12-01 James Bailie , Rabanus Derr

We consider the task of performing probabilistic inference with probabilistic logical models. Many algorithms for approximate inference with such models are based on sampling. From a logic programming perspective, sampling boils down to…

Artificial Intelligence · Computer Science 2015-03-19 Daan Fierens

We present a new method for probabilistic elicitation of expert knowledge using binary responses of human experts assessing simulated data from a statistical model, where the parameters are subject to uncertainty. The binary responses…

Methodology · Statistics 2020-03-10 Owen Thomas , Henri Pesonen , Jukka Corander

Incorporation of expert information in inference or decision settings is often important, especially in cases where data are unavailable, costly or unreliable. One approach is to elicit prior quantiles from an expert and then to fit these…

Statistics Theory · Mathematics 2016-11-04 Nicholas M. Kiefer

In this paper we present the process of Knowledge Elicitation through a structured questionnaire technique. This is an effort to depict a problem domain as Investigation of factors affecting taskforce productivity. The problem has to be…

Computers and Society · Computer Science 2009-08-03 Muhammad Sohail , Abdur Rashid Khan

Eliciting information to reduce uncertainty about a latent entity is a critical task in many application domains, e.g., assessing individual student learning outcomes, diagnosing underlying diseases, or learning user preferences. Though…

Computation and Language · Computer Science 2025-07-10 Jimmy Wang , Thomas Zollo , Richard Zemel , Hongseok Namkoong

Specification of the prior distribution for a Bayesian model is a central part of the Bayesian workflow for data analysis, but it is often difficult even for statistical experts. In principle, prior elicitation transforms domain knowledge…

Recent work [ 14 ] has introduced a method for prior elicitation that utilizes records of expert decisions to infer a prior distribution. While this method provides a promising approach to eliciting expert uncertainty, it has only been…

Machine Learning · Computer Science 2025-01-22 Julia R. Falconer , Eibe Frank , Devon L. L. Polaschek , Chaitanya Joshi

Eliciting informative prior distributions for Bayesian inference can often be complex and challenging. While popular methods rely on asking experts probability based questions to quantify uncertainty, these methods are not without their…

Methodology · Statistics 2022-03-11 Julia R. Falconer , Eibe Frank , Devon L. L. Polaschek , Chaitanya Joshi

Knowledge present in a domain is well expressed as relationships between corresponding concepts. For example, in zoology, animal species form complex hierarchies; in genomics, the different (parts of) molecules are organized in groups and…

Machine Learning · Computer Science 2021-07-08 Lu Yin , Vlado Menkovski , Mykola Pechenizkiy

We introduce collapsed compilation, a novel approximate inference algorithm for discrete probabilistic graphical models. It is a collapsed sampling algorithm that incrementally selects which variable to sample next based on the partial…

Artificial Intelligence · Computer Science 2018-06-01 Tal Friedman , Guy Van den Broeck
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