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Combining evidence from different sources can be achieved with Bayesian or Dempster-Shafer methods. The first requires an estimate of the priors and likelihoods while the second only needs an estimate of the posterior probabilities and…

机器学习 · 计算机科学 2021-04-16 Fabrice Daniel

Stemming from de Finetti's work on finitely additive coherent probabilities, the paradigm of coherence has been applied to many uncertainty calculi in order to remove structural restrictions on the domain of the assessment. Three possible…

概率论 · 数学 2021-06-30 Davide Petturiti , Barbara Vantaggi

Clustering is part of unsupervised analysis methods that consist in grouping samples into homogeneous and separate subgroups of observations also called clusters. To interpret the clusters, statistical hypothesis testing is often used to…

统计方法学 · 统计学 2022-10-25 Benjamin Hivert , Denis Agniel , Rodolphe Thiébaut , Boris P Hejblum

The domain of explainable AI is of interest in all Machine Learning fields, and it is all the more important in clustering, an unsupervised task whose result must be validated by a domain expert. We aim at finding a clustering that has high…

人工智能 · 计算机科学 2024-03-28 Mathieu Guilbert , Christel Vrain , Thi-Bich-Hanh Dao

Results on approximate deduction in the context of the calculus of evidence of Dempster-Shafer and the theory of interval probabilities are reported. Approximate conditional knowledge about the truth of conditional propositions was assumed…

人工智能 · 计算机科学 2013-04-12 Enrique H. Ruspini

Considerable attention has been given to the problem of non-monotonic reasoning in a belief function framework. Earlier work (M. Ginsberg) proposed solutions introducing meta-rules which recognized conditional independencies in a…

人工智能 · 计算机科学 2013-04-05 Mary McLeish

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…

人工智能 · 计算机科学 2013-03-08 Simon Parsons , E. H. Mamdani

In this paper we present an application where we put together two methods for clustering and classification into a force aggregation method. Both methods are based on conflicts between elements. These methods work with different type of…

人工智能 · 计算机科学 2007-05-23 John Cantwell , Johan Schubert , Johan Walter

Identification of disease subtypes and corresponding biomarkers can substantially improve clinical diagnosis and treatment selection. Discovering these subtypes in noisy, high dimensional biomedical data is often impossible for humans and…

定量方法 · 定量生物学 2020-05-18 Marc-Andre Schulz , Matt Chapman-Rounds , Manisha Verma , Danilo Bzdok , Konstantinos Georgatzis

Clustering is a widely used unsupervised learning method for finding structure in the data. However, the resulting clusters are typically presented without any guarantees on their robustness; slightly changing the used data sample or…

机器学习 · 统计学 2017-01-02 Andreas Henelius , Kai Puolamäki , Henrik Boström , Panagiotis Papapetrou

Clustering uncertain data has emerged as a challenging task in uncertain data management and mining. Thanks to a computational complexity advantage over other clustering paradigms, partitional clustering has been particularly studied and a…

数据库 · 计算机科学 2012-03-30 Francesco Gullo , Andrea Tagarelli

Bayesian clustering methods have the widely touted advantage of providing a probabilistic characterization of uncertainty in clustering through the posterior distribution. An amazing variety of priors and likelihoods have been proposed for…

统计方法学 · 统计学 2025-11-21 Garritt L. Page , Andrés F. Barrientos , David B. Dahl , David B. Dunson

Fair clustering is the process of grouping similar entities together, while satisfying a mathematically well-defined fairness metric as a constraint. Due to the practical challenges in precise model specification, the prescribed fairness…

机器学习 · 统计学 2021-02-09 Sainyam Galhotra , Sandhya Saisubramanian , Shlomo Zilberstein

This paper will focus on the process of 'fusing' several observations or models of uncertainty into a single resultant model. Many existing approaches to fusion use subjective quantities such as 'strengths of belief' and process these…

人工智能 · 计算机科学 2020-07-28 Shawn C. Eastwood , Svetlana N. Yanushkevich

Selecting subsets of features that differentiate between two conditions is a key task in a broad range of scientific domains. In many applications, the features of interest form clusters with similar effects on the data at hand. To recover…

机器学习 · 计算机科学 2022-11-11 Ram Dyuthi Sristi , Gal Mishne , Ariel Jaffe

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…

人工智能 · 计算机科学 2017-04-11 Mieczysław A. Kłopotek , Sławomir T. Wierzchoń

Mathematical Theory of Evidence called also Dempster-Shafer Theory (DST) is known as a foundation for reasoning when knowledge is expressed at various levels of detail. Though much research effort has been committed to this theory since its…

人工智能 · 计算机科学 2017-07-14 Mieczysław A. Kłopotek

In many modern statistical problems, the limited available data must be used both to develop the hypotheses to test, and to test these hypotheses-that is, both for exploratory and confirmatory data analysis. Reusing the same dataset for…

统计方法学 · 统计学 2023-07-24 Youngjoo Yun , Rina Foygel Barber

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…

密码学与安全 · 计算机科学 2015-03-20 Sari Haj Hussein

In pattern analysis, information regarding an object can often be drawn from its surroundings. This paper presents a method for handling uncertainty when using context of symbols and texts for analyzing technical drawings. The method is…

人工智能 · 计算机科学 2013-04-10 Bjornar Tessem , Lars Johan Ersland