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The combination of evidence in Dempster-Shafer theory is compared with the combination of evidence in probabilistic logic. Sufficient conditions are stated for these two methods to agree. It is then shown that these conditions are minimal…

Artificial Intelligence · Computer Science 2013-04-11 Daniel Hunter

In this paper we present a methodology and discuss some implementation issues for a project on statistical/expert approach to data analysis and knowledge acquisition. We discuss some general assumptions underlying the project. Further, the…

Artificial Intelligence · Computer Science 2017-05-24 M. Michalewicz , S. T. Wierzchoń , M. A. Kłopotek

This paper investigates the issues of combination and normalization of interval-valued belief structures within the framework of Dempster-Shafer theory of evidence. Existing approaches are reviewed and thoroughly analyzed. The advantages…

Artificial Intelligence · Computer Science 2020-11-30 Miao Qin , Yongchuan Tang

This paper describes recent work on an ongoing project in medical diagnosis at the University of Guelph. A domain on which experts are not very good at pinpointing a single disease outcome is explored. On-line medical data is available over…

Artificial Intelligence · Computer Science 2013-04-05 Mary McLeish , P. Yao , T. Stirtzinger

This paper considers the problem of knowledge-based model construction in the presence of uncertainty about the association of domain entities to random variables. Multi-entity Bayesian networks (MEBNs) are defined as a representation for…

Artificial Intelligence · Computer Science 2013-01-14 Kathryn Blackmond Laskey , Suzanne M. Mahoney , Ed Wright

We define the notion of compiling a Bayesian network with evidence and provide a specific approach for evidence-based compilation, which makes use of logical processing. The approach is practical and advantageous in a number of application…

Artificial Intelligence · Computer Science 2012-07-09 Mark Chavira , David Allen , Adnan Darwiche

The paper presents a novel view of the Dempster-Shafer belief function as a measure of diversity in relational data bases. It is demonstrated that under the interpretation The Dempster rule of evidence combination corresponds to the join…

Artificial Intelligence · Computer Science 2017-04-11 Mieczysław A. Kłopotek , Sławomir T. Wierzchoń

Discovering novel high-entropy alloys (HEAs) with desirable properties is challenging due to the vast compositional space and complex phase formation mechanisms. Efficient exploration of this space requires a strategic approach that…

In traditional Distributional Semantic Models (DSMs) the multiple senses of a polysemous word are conflated into a single vector space representation. In this work, we propose a DSM that learns multiple distributional representations of a…

Computation and Language · Computer Science 2019-04-12 Eleftheria Briakou , Nikos Athanasiou , Alexandros Potamianos

The Dempster-Shafer theory of evidence accumulation is one of the main tools for combining data obtained from multiple sources. In this paper a special case of combination of two bodies of evidence with non-zero conflict coefficient is…

Probability · Mathematics 2011-07-04 Andrzej K. Brodzik , Robert H. Enders

In Dempster-Shafer belief theory, general beliefs are expressed as belief mass distribution functions over frames of discernment. In Subjective Logic beliefs are expressed as belief mass distribution functions over binary frames of…

Artificial Intelligence · Computer Science 2007-05-23 Audun Josang

Dempster-Shafer theory is widely applied in uncertainty modelling and knowledge reasoning due to its ability of expressing uncertain information. A distance between two basic probability assignments(BPAs) presents a measure of performance…

Artificial Intelligence · Computer Science 2014-04-15 Meizhu Li , Qi Zhang , Xinyang Deng , Yong Deng

Evidence-based deep learning represents a burgeoning paradigm for uncertainty estimation, offering reliable predictions with negligible extra computational overheads. Existing methods usually adopt Kullback-Leibler divergence to estimate…

Computer Vision and Pattern Recognition · Computer Science 2025-04-18 Yan Zhang , Ming Li , Chun Li , Zhaoxia Liu , Ye Zhang , Fei Richard Yu

We revisit logistic regression and its nonlinear extensions, including multilayer feedforward neural networks, by showing that these classifiers can be viewed as converting input or higher-level features into Dempster-Shafer mass functions…

Machine Learning · Computer Science 2019-12-13 Thierry Denoeux

In multiple attribute decision analysis (MADA) problems, one often needs to deal with assessment information with uncertainty. The evidential reasoning approach is one of the most effective methods to deal with such MADA problems. As kernel…

Artificial Intelligence · Computer Science 2019-03-29 Lianmeng Jiao , Xiaojiao Geng

This paper investigates the use of Evidence Theory to enhance the training efficiency of object detection models by incorporating uncertainty into the feedback loop. In each training iteration, during the validation phase, Evidence Theory…

Computer Vision and Pattern Recognition · Computer Science 2024-12-24 M. Tahasanul Ibrahim , Rifshu Hussain Shaik , Andreas Schwung

The Dempster--Shafer (DS) theory is a powerful tool for probabilistic reasoning based on a formal calculus for combining evidence. DS theory has been widely used in computer science and engineering applications, but has yet to reach the…

Methodology · Statistics 2010-11-04 Ryan Martin , Jianchun Zhang , Chuanhai Liu

Two different approaches to dealing with probabilistic knowledge are examined -models and inductive inference. Examples of the first are: influence diagrams [1], Bayesian networks [2], log-linear models [3, 4]. Examples of the second are:…

Artificial Intelligence · Computer Science 2013-04-12 Norman C. Dalkey

The belief function approach to uncertainty quantification as proposed in the Demspter-Shafer theory of evidence is established upon the general mathematical models for set-valued observations, called random sets. Set-valued predictions are…

Machine Learning · Computer Science 2022-06-16 Shireen Kudukkil Manchingal , Fabio Cuzzolin

We develop our interpretation of the joint belief distribution and of evidential updating that matches the following basic requirements: * there must exist an efficient method for reasoning within this framework * there must exist a clear…

Artificial Intelligence · Computer Science 2017-04-14 Mieczysław Kłopotek