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This paper explores generalised probabilistic modelling and uncertainty estimation in comparative LLM-as-a-judge frameworks. We show that existing Product-of-Experts methods are specific cases of a broader framework, enabling diverse…

Artificial Intelligence · Computer Science 2025-05-22 Yassir Fathullah , Mark J. F. Gales

Rankings play a crucial role in decision-making. However, if minor changes to items significantly alter their rankings, the quality of the decisions being made can be compromised. The stability of ranking is a measure used to assess how…

Databases · Computer Science 2026-03-11 Felix S. Campbell , Yuval Moskovitch

Algorithmic decision systems are increasingly used in areas such as hiring, school admission, or loan approval. Typically, these systems rely on labeled data for training a classification model. However, in many scenarios, ground-truth…

Machine Learning · Computer Science 2021-07-19 Jakob Schoeffer , Niklas Kuehl , Isabel Valera

In the interpretation of experimental data, one is actually looking for plausible explanations. We look for a measure of plausibility, with which we can compare different possible explanations, and which can be combined when there are…

Artificial Intelligence · Computer Science 2010-12-30 Wan Ahmad Tajuddin Wan Abdullah

The reliable measurement of confidence in classifiers' predictions is very important for many applications and is, therefore, an important part of classifier design. Yet, although deep learning has received tremendous attention in recent…

Artificial Intelligence · Computer Science 2020-07-01 Amit Mandelbaum , Daphna Weinshall

Dempster-Shafer theory of imprecise probabilities has proved useful to incorporate both nonspecificity and conflict uncertainties in an inference mechanism. The traditional Bayesian approach cannot differentiate between the two, and is…

Cryptography and Security · Computer Science 2015-03-20 Sari Haj Hussein

To reduce the human intervention in the preference measure process,this article proposes a preference collaborative measure framework based on an updated belief system,which is also capable of improving the accuracy and efficiency of…

Artificial Intelligence · Computer Science 2025-04-01 Hang Yu , Wei Wei , Zheng Tan , Jing-lei Liu

In this paper some initial work towards a new approach to qualitative reasoning under uncertainty is presented. This method is not only applicable to qualitative probabilistic reasoning, as is the case with other methods, but also allows…

Artificial Intelligence · Computer Science 2013-03-08 Simon Parsons , E. H. Mamdani

In the canonical examples underlying Shafer-Dempster theory, beliefs over the hypotheses of interest are derived from a probability model for a set of auxiliary hypotheses. Beliefs are derived via a compatibility relation connecting the…

Artificial Intelligence · Computer Science 2013-04-11 Kathryn Blackmond Laskey

In this paper we introduce objective proper prior distributions for hypothesis testing and model selection based on measures of divergence between the competing models; we call them divergence based (DB) priors. DB priors have simple forms…

Methodology · Statistics 2009-02-27 M. J. Bayarri , G. García-Donato

In recent years, researchers in decision analysis and artificial intelligence (AI) have used Bayesian belief networks to build models of expert opinion. Using standard methods drawn from the theory of computational complexity, workers in…

Artificial Intelligence · Computer Science 2013-04-05 R. Martin Chavez , Gregory F. Cooper

Oftentimes, environments for sequential decision-making problems can be quite sparse in the provision of evaluative feedback to guide reinforcement-learning agents. In the extreme case, long trajectories of behavior are merely punctuated…

Machine Learning · Computer Science 2023-08-22 Akash Velu , Skanda Vaidyanath , Dilip Arumugam

In spite of the tremendous development of recommender system owing to the progressive capability of machine learning recently, the current recommender system is still vulnerable to the distribution shift of users and items in realistic…

Machine Learning · Computer Science 2022-02-10 Yue He , Zimu Wang , Peng Cui , Hao Zou , Yafeng Zhang , Qiang Cui , Yong Jiang

A common practice in evidence-based decision-making uses estimates of conditional probabilities P(y|x) obtained from research studies to predict outcomes y on the basis of observed covariates x. Given this information, decisions are then…

Econometrics · Economics 2025-12-08 Atheendar S. Venkataramani , Charles F. Manski , John Mullahy

Constrained learning is prevalent in many statistical tasks. Recent work proposes distance-to-set penalties to derive estimators under general constraints that can be specified as sets, but focuses on obtaining point estimates that do not…

Methodology · Statistics 2022-10-25 Rick Presman , Jason Xu

A reliable modeling of uncertain evidence in Bayesian networks based on a set-valued quantification is proposed. Both soft and virtual evidences are considered. We show that evidence propagation in this setup can be reduced to standard…

Artificial Intelligence · Computer Science 2018-02-16 Sabina Marchetti , Alessandro Antonucci

We propose a new approach for the problem of relative depth estimation from a single image. Instead of directly regressing over depth scores, we formulate the problem as estimation of a probability distribution over depth and aim to learn…

Computer Vision and Pattern Recognition · Computer Science 2020-10-15 Alican Mertan , Yusuf Huseyin Sahin , Damien Jade Duff , Gozde Unal

Experts' beliefs embody a present state of knowledge. It is desirable to take this knowledge into account when doing analyses or making decisions. Yet ranking experts based on the merit of their beliefs is a difficult task. In this paper we…

Methodology · Statistics 2018-08-10 Duco Veen , Diederick Stoel , Naomi Schalken , Rens van de Schoot

In this paper, the Dempster-Shafer method is employed as the theoretical basis for creating data classification systems. Testing is carried out using three popular (multiple attribute) benchmark datasets that have two, three and four…

Machine Learning · Computer Science 2014-09-03 Qi Chen , Amanda Whitbrook , Uwe Aickelin , Chris Roadknight

There is an innate human tendency, one might call it the "league table mentality," to construct rankings. Schools, hospitals, sports teams, movies, and myriad other objects are ranked even though their inherent multi-dimensionality would…

Econometrics · Economics 2021-09-16 Jiaying Gu , Roger Koenker
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