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The management and combination of uncertain, imprecise, fuzzy and even paradoxical or high conflicting sources of information has always been and still remains of primal importance for the development of reliable information fusion systems.…

Artificial Intelligence · Computer Science 2007-05-23 Jean Dezert , Florentin Smarandache

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…

Computational Complexity · Computer Science 2021-07-16 Maxime Chaveroche , Franck Davoine , Véronique Cherfaoui

When we merge information in Dempster-Shafer Theory (DST), we are faced with anomalous behavior: agents with equal expertise and credibility can have their opinion disregarded after resorting to the belief combination rule of this theory.…

Artificial Intelligence · Computer Science 2024-08-20 Francisco Aragão , João Alcântara

We give a method for proactively identifying small, plausible shifts in distribution which lead to large differences in model performance. These shifts are defined via parametric changes in the causal mechanisms of observed variables, where…

Machine Learning · Computer Science 2023-01-18 Nikolaj Thams , Michael Oberst , David Sontag

The Random Permutation Set (RPS) is a new type of set proposed recently, which can be regarded as the generalization of evidence theory. To measure the uncertainty of RPS, the entropy of RPS and its corresponding maximum entropy have been…

Information Theory · Computer Science 2024-03-12 Jiefeng Zhou , Zhen Li , Kang Hao Cheong , Yong Deng

A new method for multinomial inference is proposed by representing the cell probabilities as unordered segments on the unit interval and following Dempster-Shafer (DS) theory. The resulting DS posterior is then strengthened to improve…

Methodology · Statistics 2024-10-10 Earl C. Lawrence , Alexander C. Murph , Scott A. Vander Wiel , Chaunhai Liu

Efficient modeling on uncertain information plays an important role in estimating the risk of contaminant intrusion in water distribution networks. Dempster-Shafer evidence theory is one of the most commonly used methods. However, the…

Artificial Intelligence · Computer Science 2014-04-03 Li Gou , Yong Deng , Rehan Sadiq , Sankaran Mahadevan

In both observational data and randomized control trials, researchers select statistical models to articulate how the outcome of interest varies with combinations of observable covariates. Choosing a model that is too simple can obfuscate…

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

In-flight sensor fault diagnosis and recursive combination of residual signals via the Dempster-Shafer (DS) theory have been considered in this study. In particular, a novel evidence-based combination rule of residual errors as a function…

Signal Processing · Electrical Eng. & Systems 2022-12-14 Cartocci N. , M. R. Napolitano , G. Costante , F. Crocetti , P. Valigi , M. L. Fravolini

Achieving a high prediction rate is a crucial task in fault detection. Although various classification procedures are available, none of them can give high accuracy in all applications. Therefore, in this paper, a novel multi-classifier…

Machine Learning · Computer Science 2021-10-15 Vahid Yaghoubi , Liangliang Cheng , Wim Van Paepegem , Mathias Kersemans

We present a deep transformation model for probabilistic regression. Deep learning is known for outstandingly accurate predictions on complex data but in regression tasks, it is predominantly used to just predict a single number. This…

Machine Learning · Statistics 2020-04-02 Beate Sick , Torsten Hothorn , Oliver Dürr

Probability theory and Dempster-Shafer theory are two germane theories to represent and handle uncertain information. Recent study suggested a transformation to obtain the negation of a probability distribution based on the maximum entropy.…

Artificial Intelligence · Computer Science 2019-01-30 Xinyang Deng , Wen Jiang

In some real world information fusion situations, time critical decisions must be made with an incomplete information set. Belief function theories (e.g., Dempster-Shafer theory of evidence, Transferable Belief Model) have been shown to…

Artificial Intelligence · Computer Science 2015-06-01 John J. Sudano

Uncertainty calibration in pre-trained transformers is critical for their reliable deployment in risk-sensitive applications. Yet, most existing pre-trained transformers do not have a principled mechanism for uncertainty propagation through…

The concept of trustworthy AI has gained widespread attention lately. One of the aspects relevant to trustworthy AI is robustness of ML models. In this study, we show how to probabilistically quantify robustness against naturally occurring…

Machine Learning · Computer Science 2022-11-30 Christoph Schweimer , Sebastian Scher

Recent advancements in large language models (LLMs) have demonstrated remarkable reasoning capabilities. However, single-shot inference often yields unreliable results for complex reasoning tasks, leading researchers to explore multiple…

Machine Learning · Computer Science 2025-02-14 Zhi Zhou , Tan Yuhao , Zenan Li , Yuan Yao , Lan-Zhe Guo , Xiaoxing Ma , Yu-Feng Li

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

We propose a simple and effective method to estimate the uncertainty of closed-source deep neural network image classification models. Given a base image, our method creates multiple transformed versions and uses them to query the top-1…

Computer Vision and Pattern Recognition · Computer Science 2024-05-24 Konstantinos Pitas , Julyan Arbel

Recently, a new type of set, named as random permutation set (RPS), is proposed by considering all the permutations of elements in a certain set. For measuring the uncertainty of RPS, the entropy of RPS is presented. However, the maximum…

Information Theory · Computer Science 2022-03-24 Jixiang Deng , Yong Deng