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Dempster-Shafer Theory (DST) generalizes Bayesian probability theory, offering useful additional information, but suffers from a much higher computational burden. A lot of work has been done to reduce the time complexity of information…

Discrete Mathematics · Computer Science 2021-01-12 Maxime Chaveroche , Franck Davoine , Véronique Cherfaoui

Dempster-Shafer Theory (DST) generalizes Bayesian probability theory, offering useful additional information, but suffers from a high computational burden. A lot of work has been done to reduce the complexity of computations used in…

Artificial Intelligence · Computer Science 2021-07-15 Maxime Chaveroche , Franck Davoine , Véronique Cherfaoui

Dempster-Shafer Theory (DST) of belief function is a basic theory of artificial intelligence, which can represent the underlying knowledge more reasonably than Probability Theory (ProbT). Because of the computation complexity exploding…

Quantum Physics · Physics 2022-10-13 Qianli Zhou , Guojing Tian , Yong Deng

Dempster-Shafer structure is effective in classical settings for connecting set-valued hypotheses and representing structured ignorance, yet its practical use is limited by combination growth over focal sets and high conflict management. We…

Artificial Intelligence · Computer Science 2025-10-21 Qianli Zhou , Hao Luo , Lipeng Pan , Yong Deng , Eloi Bosse

Addressing uncertainty in Deep Learning (DL) is essential, as it enables the development of models that can make reliable predictions and informed decisions in complex, real-world environments where data may be incomplete or ambiguous. This…

Computer Vision and Pattern Recognition · Computer Science 2024-05-31 Ayyub Alzahem , Wadii Boulila , Maha Driss , Anis Koubaa

Dempster-Shafer Theory (DST) as an effective and robust framework for handling uncertain information is applied in decision-making and pattern classification. Unfortunately, its real-time application is limited by the exponential…

Quantum Physics · Physics 2024-01-04 Hao Luo , Qianli Zhou , Lipeng Pan , Zhen Li , Yong Deng

In this paper we associate with every (directed) graph G a transformation called the Mobius transformation of the graph G. The Mobius transformation of the graph (O) is of major significance for Dempster-Shafer theory of evidence. However,…

Artificial Intelligence · Computer Science 2013-04-05 Robert Kennes , Philippe Smets

Dempster-Shafer Theory (DST) provides a powerful framework for modeling uncertainty and has been widely applied to multi-attribute classification tasks. However, traditional DST-based attribute fusion-based classifiers suffer from…

Machine Learning · Computer Science 2025-10-08 Qiying Hu , Yingying Liang , Qianli Zhou , Witold Pedrycz

Decision trees and random forest remain highly competitive for classification on medium-sized, standard datasets due to their robustness, minimal preprocessing requirements, and interpretability. However, a single tree suffers from high…

Machine Learning · Statistics 2025-12-02 Cencheng Shen , Yuexiao Dong , Carey E. Priebe

This paper concerns the use of the expectation-maximisation (EM) algorithm for inference in partially observed diffusion processes. In this context, a well known problem is that all except a few diffusion processes lack closed-form…

Statistics Theory · Mathematics 2010-08-18 Jimmy Olsson , Jonas Ströjby

In pattern recognition, handling uncertainty is a critical challenge that significantly affects decision-making and classification accuracy. Dempster-Shafer Theory (DST) is an effective reasoning framework for addressing uncertainty, and…

Artificial Intelligence · Computer Science 2024-10-31 Juntao Xu , Tianxiang Zhan , Yong Deng

This paper demonstrates the usefulness of distributed local verification of proofs, as a tool for the design of self-stabilizing algorithms.In particular, it introduces a somewhat generalized notion of distributed local proofs, and utilizes…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-12-25 Amos Korman , Shay Kutten , Toshimitsu Masuzawa

Recently, sophisticated deep learning-based approaches have been developed for generating efficient initial guesses to accelerate the convergence of density functional theory (DFT) calculations. While the actual initial guesses are often…

Chemical Physics · Physics 2026-03-24 Zhe Liu , Yuyan Ni , Zhichen Pu , Qiming Sun , Siyuan Liu , Wen Yan

We show how the expectation-maximization (EM) algorithm can be applied exactly for the fitting of mixtures of general multivariate skew t (MST) distributions, eliminating the need for computationally expensive Monte Carlo estimation. Finite…

Methodology · Statistics 2012-09-06 S. X. Lee , G. J. McLachlan

The paper presents an approach to the modelling of epistemic uncertainty in Conjunction Data Messages (CDM) and the classification of conjunction events according to the confidence in the probability of collision. The approach proposed in…

Artificial Intelligence · Computer Science 2024-02-14 Luis Sanchez , Massimiliano Vasile , Silvia Sanvido , Klaus Mertz , Christophe Taillan

Shenoy and Shafer {Shenoy:90} demonstrated that both for Dempster-Shafer Theory and probability theory there exists a possibility to calculate efficiently marginals of joint belief distributions (by so-called local computations) provided…

Artificial Intelligence · Computer Science 2018-06-08 Mieczysław A. Kłopotek

Monitoring biodiversity is paramount to manage and protect natural resources. Collecting images of organisms over large temporal or spatial scales is a promising practice to monitor the biodiversity of natural ecosystems, providing large…

Computer Vision and Pattern Recognition · Computer Science 2023-02-07 S. Kyathanahally , T. Hardeman , M. Reyes , E. Merz , T. Bulas , P. Brun , F. Pomati , M. Baity-Jesi

While Bayesian inference provides a principled framework for reasoning under uncertainty, its widespread adoption is limited by the intractability of exact posterior computation, necessitating the use of approximate inference. However,…

Machine Learning · Statistics 2026-05-19 George Whittle , Juliusz Ziomek , Jacob Rawling , Maike A. Osborne

Deep neural networks have been widely studied for predicting a medical condition, such as total knee replacement (TKR). It has shown that data of different modalities, such as imaging data, clinical variables and demographic information,…

Computer Vision and Pattern Recognition · Computer Science 2023-03-27 Xinwen Liu , Jing Wang , S. Kevin Zhou , Craig Engstrom , Shekhar S. Chandra

The family of Expectation-Maximization (EM) algorithms provides a general approach to fitting flexible models for large and complex data. The expectation (E) step of EM-type algorithms is time-consuming in massive data applications because…

Computation · Statistics 2018-06-21 Sanvesh Srivastava , Glen DePalma , Chuanhai Liu
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