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08/18/2023
Eigenvalue-based Incremental Spectral Clustering
Our previous experiments demonstrated that subsets collections of (short...
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08/07/2023
Wide Gaps and Clustering Axioms
The widely applied k-means algorithm produces clusterings that violate o...
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08/02/2023
Are Easy Data Easy (for K-Means)
This paper investigates the capability of correctly recovering well-sepa...
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08/01/2023
Explainable Graph Spectral Clustering of Text Documents
Spectral clustering methods are known for their ability to represent clu...
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11/30/2022
High-Dimensional Wide Gap k-Means Versus Clustering Axioms
Kleinberg's axioms for distance based clustering proved to be contradict...
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10/27/2022
How To Overcome Richness Axiom Fallacy
The paper points at the grieving problems implied by the richness axiom ...
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02/12/2022
Towards Continuous Consistency Axiom
Development of new algorithms in the area of machine learning, especiall...
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06/15/2020
p-d-Separation – A Concept for Expressing Dependence/Independence Relations in Causal Networks
Spirtes, Glymour and Scheines formulated a Conjecture that a direct depe...
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05/25/2020
On Irrelevance of Attributes in Flexible Prediction
This paper analyses properties of conceptual hierarchy obtained via incr...
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05/25/2020
Non-Destructive Sample Generation From Conditional Belief Functions
This paper presents a new approach to generate samples from conditional ...
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09/28/2019
A Note On k-Means Probabilistic Poverty
It is proven, by example, that the version of k-means with random initia...
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09/26/2019
Query Optimization Properties of Modified VBS
Valuation-Based System can represent knowledge in different domains incl...
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12/14/2018
Factorization of Dempster-Shafer Belief Functions Based on Data
One important obstacle in applying Dempster-Shafer Theory (DST) is its r...
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12/07/2018
On Marginally Correct Approximations of Dempster-Shafer Belief Functions from Data
Mathematical Theory of Evidence (MTE), a foundation for reasoning under ...
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11/30/2018
Structure and Motion from Multiframes
The paper gives an overview of the problems and methods of recovery of s...
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06/06/2018
Dempsterian-Shaferian Belief Network From Data
Shenoy and Shafer Shenoy:90 demonstrated that both for Dempster-Shafer T...
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05/30/2018
Too Fast Causal Inference under Causal Insufficiency
Causally insufficient structures (models with latent or hidden variables...
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07/13/2017
On (Anti)Conditional Independence in Dempster-Shafer Theory
This paper verifies a result of Shenoy:94 concerning graphoidal structur...
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07/13/2017
Fast Restricted Causal Inference
Hidden variables are well known sources of disturbance when recovering b...
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07/12/2017
Identification and Interpretation of Belief Structure in Dempster-Shafer Theory
Mathematical Theory of Evidence called also Dempster-Shafer Theory (DST)...
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07/12/2017
Independence, Conditionality and Structure of Dempster-Shafer Belief Functions
Several approaches of structuring (factorization, decomposition) of Demp...
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06/30/2017
Restricted Causal Inference Algorithm
This paper proposes a new algorithm for recovery of belief network struc...
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06/08/2017
Evidence Against Evidence Theory (?!)
This paper is concerned with the apparent greatest weakness of the Mathe...
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06/08/2017
What Does a Belief Function Believe In ?
The conditioning in the Dempster-Shafer Theory of Evidence has been defi...
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05/11/2017
Distribution of degrees of freedom over structure and motion of rigid bodies
This paper is concerned with recovery of motion and structure parameters...
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04/12/2017
Beliefs in Markov Trees - From Local Computations to Local Valuation
This paper is devoted to expressiveness of hypergraphs for which uncerta...
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04/11/2017
Reconstruction of 3-D Rigid Smooth Curves Moving Free when Two Traceable Points Only are Available
This paper extends previous research in that sense that for orthogonal p...
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04/11/2017
Beliefs and Probability in Bacchus' l.p. Logic: A 3-Valued Logic Solution to Apparent Counter-intuition
Fundamental discrepancy between first order logic and statistical infere...
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04/08/2017
Basic Formal Properties of A Relational Model of The Mathematical Theory of Evidence
The paper presents a novel view of the Dempster-Shafer belief function a...
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01/19/2017
On the Existence of Kernel Function for Kernel-Trick of k-Means
This paper corrects the proof of the Theorem 2 from the Gower's paper [p...
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01/16/2017
Semantic classifier approach to document classification
In this paper we propose a new document classification method, bridging ...
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05/10/2016