Building Bridges between Soft and Statistical Methodologies for Data Science (Advances in Intelligent Systems and Computing, 1433)

Preface
Organization
	General Chairs
	Executive Board (Core SMPS Group)
	Program Committee
	Additional Referees
	Organizing Local Committee
	Publication Chair
Contents
Multi-dimensional Maximal Coherent Subsets Made Easy: Illustration on an Estimation Problem
	1 Introduction
	2 Maximal Coherent Subsets
	3 Enumerating the MCSs of Axis-Aligned Hyperrectangles
	4 Illustration on Linear Estimation
		4.1 Estimating Possible Linear Models with MCS and Rectangles
		4.2 Application
	5 Conclusion
	References
On Convergence in Distribution of Fuzzy Random Variables
	1 Introduction
	2 Preliminaries
	3 Main Results
	References
A Fuzzy Survival Tree (FST)
	1 Introduction
	2 Fuzzy Survival Tree Algorithm
		2.1 FST Learning Process
		2.2 FST Notation
		2.3 FST Algorithm Steps
	3 Results
		3.1 Behaviour and Stability of the FST with Missing Data
		3.2 Comparison of FST with Other Survival Algorithms
		3.3 FST Performance Compared to ST(c_index)
	4 Conclusions
	References
Robust Rao-Type Tests for Non-destructive One-Shot Device Testing Under Step-Stress Model with Exponential Lifetimes
	1 Introduction
	2 Robust Rao-Type Test
	3 Influence Function Analysis
	4 Simulation Study
	References
An Imprecise Label Ranking Method for Heterogeneous Data
	1 Introduction
	2 The Plackett-Luce Model
		2.1 Hierarchical Model
		2.2 Parameter Estimation
	3 Illustration
	4 Conclusion
	References
The Choice of an Appropriate Stochastic Order to Aggregate Random Variables
	1 Introduction
	2 Basic Concepts
		2.1 Aggregation Functions
		2.2 Stochastic Orders
	3 Aggregation of Random Variables
		3.1 The Choice of the Stochastic Order
		3.2 Induced Aggregation of Random Variables
	4 Conclusions
	References
A Framework for Probabilistic Reasoning on Knowledge Graphs
	1 Introduction
	2 Probabilistic Knowledge Graphs
	3 The MCMC-Chase Algorithm
	4 Conclusion
	References
Biological Age Imputation by Data Depth
	1 Introduction
	2 Preliminaries, Data Depth
	3 Biologial Age Imputation by Data Depth
		3.1 Sample Balancing
	4 Data and Results
	5 Conclusions and Future Work
	References
Monitoring Tools in Robust CWM for the Analysis of Crime Data
	1 Introduction and Notation
	2 Crime Dataset
	3 Conclusions
	References
Penalized Model-Based Clustering with Group-Dependent Shrinkage Estimation
	1 Introduction and Motivation
	2 Proposed Solution
	3 Application to Handwritten Digits Recognition
	4 Conclusion and Discussion
	References
Robust Diagnostics for Linear Mixed Models with the Forward Search
	1 Introduction and Background
	2 Data, Their Features and Economic Characteristics
	3 LMM for Repeated Measures
	4 The Forward Search for LMM
	5 Illustration for Simulated and Trade Coffee Data
	6 Final Remarks
	References
K-Partitioning with Imprecise Probabilistic Edges
	1 Introduction
	2 Notations and Problem Definition
	3 Analysis
		3.1 Computational Complexity
		3.2 Easy Cases
	4 Heuristic
		4.1 Pattern and Reduction Rules
		4.2 Algorithm Description
	5 Numerical Experiments
		5.1 Dataset
		5.2 Results
	6 Conclusion
	References
Decision-Making with E-Admissibility Given a Finite Assessment of Choices
	1 Introduction
	2 Setting and Choice Functions
	3 E-Admissibility
	4 Assessments and Extensions
	5 A Characterisation of the E-Admissible Extension
	6 An Algorithmic Approach
	7 Conclusion
	References
Copula-Based Divergence Measures for Dependence Between Random Vectors
	1 Introduction
	2 Axioms
	3 -Dependence Measures
	4 Example
	References
The Winning Probability Relation of Parametrized Families of Random Vectors
	1 Introduction
	2 Preliminaries
	3 Multivariate Normal Distribution
	4 Multivariate T-Distribution
	5 Compounding the Multivariate Normal Distribution
	6 Discussion
	References
Convergence of Copulas Revisited: Different Notions of Convergence and Their Interrelations
	1 Introduction
	2 Notation and Preliminaries
	3 Interrelation of Metrics and Topologies
		3.1 Relations Between the Operator Metrics OPp and DR
		3.2 Relations Between the Operator Metrics OPp and Weak Conditional Convergence
	References
An INDSCAL-Type Approach for Three-Way Spectral Clustering
	1 Introduction
	2 Background Results
	3 A Three-Way Extension of Spectral Clustering Method Through an INDSCAL-Type Approach
	4 A Real Illustrative Application: Blue Crabs Data
	References
On Clustering of Star-Shaped Sets with a Fuzzy Approach: An Application to the Clasts in the Cantabrian Coast
	1 Preliminaries on Star-Shaped Sets
	2 Fuzzy Clustering Proposal
	3 Empirical Analysis
	4 Concluding Remarks
	References
Cluster Validity Measures for Fuzzy Two-Mode Clustering
	1 Background on Fuzzy Two-Mode Clustering
	2 Cluster Validity Measures
	3 Empirical Results
	4 Concluding Remarks
	References
The Simplifying Assumption in Pair-Copula Constructions from an Analytic Perspective
	1 Introduction
	2 Simplified Copulas
	3 Optimality and Continuity Results of Partial Vine Copulas (PVCs)
	References
On Positive Dependence Properties for Archimedean Copulas
	1 Introduction and Preliminaries
	2 Dependence Properties
	3 Archimedean Copulas
	References
Advances in Robust Constrained Model Based Clustering
	1 Trimmed Mixture Likelihood with Constraints
	2 The New Constraints and Algorithm
	3 Automatic Choice of the Constraints
	References
Trimmed Spatio-Temporal Variogram Estimator
	1 Introduction
	2 -Trimmed Spatio-Temporal Variogram Estimator
	3 VOM+SAD Approximation of the Distribution of the -Trimmed Spatio-Temporal Variogram Estimator
	4 Example
	5 Conclusions and Further Research
	References
Two Notions of Depth in the Fuzzy Setting
	1 Introduction
	2 Definition
	3 Relationship Between the Two Notions of Depth
		3.1 Comparison
	4 Concluding Remarks
	References
Tukey Depth for Fuzzy Sets
	1 Introduction and Preliminaries
	2 On the Extension of the Tukey Depth for Fuzzy Spaces
	3 Real Data Illustration
	References
Making Data Fair Through Optimal Trimmed Matching
	1 Introduction and Notations
	2 Experiments and Discussion
	References
Paired Sample Test for Fuzzy Data
	1 Introduction
	2 Fuzzy Data
	3 Fuzzy Random Variables
	4 Two-Sample Permutation Test for Paired Fuzzy Data
	5 Simulation Study
	6 Conclusions
	References
Monitoring of Possibilisticaly Aggregated Complex Time Series
	1 Introduction
	2 Monitoring of Processes with a CUSUM Control Chart
	3 Possibilistic Aggregation of Segmented Processes
	4 Statistical Properties of the CUSUM Chart for Aggregated Process Data
	5 Conclusions
	References
Tk-Merge: Computationally Efficient Robust Clustering Under General Assumptions
	1 Introduction
	2 Methodology
	3 Tk-Merge
	4 Experiments
	5 Next Steps
	References
A Markov Kernel Approach to Multivariate Archimedean Copulas
	1 Introduction
	2 Notation and Preliminaries
	3 Results
	References
Using Fuzzy Cluster Analysis to Find Interesting Clusters
	1 Introduction: What Is Cluster Analysis?
	2 Fuzzy Cluster Analysis
	3 Technical Advantages of Fuzzy Clustering
	4 Identifying Clusters Step by Step
	5 Application to Indirect Methods to Compute Reference Intervals in Laboratory Medicine
	References
Learning Control Limits for Monitoring of Multiple Processes with Neural Network
	1 Introduction
	2 Learning Control Limits with CONNF Neural Network
	3 Simulation Results
	4 Experiment on Real-Life Data from Smartphone-Based Monitoring of Bipolar Disorder Patients
	5 Conclusions
	References
Testing the Homogeneity of Topic Distribution Between Documents of a Corpus
	1 Introduction
	2 Topic Modelling
		2.1 Pre-processing Step
		2.2 Latent Dirichlet Allocation
		2.3 Kullback Leibler Divergence
	3 Topic Distribution Equality Test
	4 Simulations
	5 Application
	6 Conclusion
	References
Circular Ordering Methods for Timing and Visualization of Oscillatory Signals
	1 Introduction
	2 Methods
		2.1 The FMM Model
		2.2 The CPCA
	3 Application 1: Human Circadian Atlas
	4 Application 2: Neuronal Cell-Type Taxonomy
	References
The Extended Version of Cohen\'s d Index for Interval-Valued Data
	1 Introduction
	2 Preliminary Concepts
	3 Standardized Mean Difference for Interval-Valued Data
	4 Real-Life Data Example
	5 Conclusions and Future Research
	References
Copulas, Lower Probabilities and Random Sets: How and When to Apply Them?
	1 Introduction
	2 Preliminaries
		2.1 Imprecise Models
		2.2 Copulas
	3 Applying Copulas to Credal Sets
		3.1 Robust Method on Dominated Probabilities
		3.2 Joint Masses from Copulas
		3.3 Copula Applied to the Lower Probabilities
	4 Special Cases
	5 Conclusion
	References
Complex Dimensionality Reduction: Ultrametric Models for Mixed-Type Data
	1 Introduction
	2 Background
	3 Statistical Relationships Between Mixed-Type Variables
	4 Methods
	5 Application
	6 Discussion
	References
Partial Calibrated Multi-label Ranking
	1 Introduction
	2 Preliminaries
		2.1 Multi-Label Classification
		2.2 Calibrated Label Ranking
	3 Partial Calibrated Label Ranking
		3.1 Justification of Partial Calibrated Label Ranking
	4 Experiments
		4.1 Experimental Settings
		4.2 Results and Discussion
	5 Conclusions and Future Research
	References
Imprecise Learning from Misclassified and Incomplete Categorical Data with Unknown Error Structure
	1 Introduction
	2 Misclassified and Incomplete Categorical Data
	3 Learning from Misclassified Categorical Data
		3.1 Incorporating the Knowledge Gained from Double Sampling
		3.2 Learning Under the State of Quasi-Near-Ignorance
	4 Example
	5 Discussion
	References
Note on Efron\'s Monotonicity Property Under Given Copula Structures
	1 Introduction and Background
	2 Efron\'s Marginal Monotonocity in Terms of the Copula
	3 Examples of Copulas
		3.1 Farlie-Gumbel-Morgenstern Copula
		3.2 Clayton Copula
		3.3 Ali-Mikhail-Haq Copula
		3.4 Frank Copula
	4 Other Examples: Generalized Order Statistics (GOSs)
	References
A Minimizing Problem of Distances Between Random Variables with Proportional Reversed Hazard Rate Functions
	1 Introduction
	2 Preliminaries
	3 Determining min\"4266308 YFX\"5267309  EC|X-Y| with X and C Fixed
	4 Examples
	References
Polytopes of Discrete Copulas and Applications
	1 Introduction
	2 Polytopes of Bivariate Discrete Copulas
		2.1 Discrete Copulas on Arbitrary Grid Domains
		2.2 Empirical Copulas as Extreme Points
	3 Polytopes of d-Dimensional Discrete Copulas, d>2
	4 Discussion
	References
Penalized Estimation of a Finite Mixture of Linear Regression Models
	1 Introduction
	2 Likelihood Unboundedness
	3 Covariate Selection
	4 Bounded Covariate Selection
	5 Concluding Remarks
	References
Robust Bayesian Regression for Mislabeled Binary Outcomes
	1 Introduction
	2 Model Formulation
		2.1 A Bayesian Model for Misclassified Binary Data
	3 Misclassification Probability
		3.1 Common Misclassification Probability
		3.2 Subject-Specific Misclassification Probabilities
		3.3 Spike-and-Slab Prior for Misclassification Probabilities
	4 Posterior Computation
	5 Outlier Detection
	6 Simulation Study
	7 Concluding Remarks
	References
Case-Wise and Cell-Wise Outliers Detection Based on Statistical Depth Filters
	1 Introduction
	2 Half-Space Depth-Filter
	3 Outlier Detection Based on Half-Space Depth-Filters
	4 Simulation Study
	References
The d-Depth-Based Interval Trimmed Mean
	1 Introduction
	2 The Space Kc(R)
	3 Central Tendency Measures for Random Intervals
	4 The d-Depth-Based Interval Trimmed Mean
		4.1 Comparative Simulation Study
	5 Concluding Remarks
	References
Characterization of Extreme Points of p-Boxes via Their Normal Cones
	1 Introduction
	2 General Structure of Maximal Elementary Simplicial Cones of p-Boxes
	3 Relating Extreme Points to Their Normal Cones
	References
Measurability and Products of Random Sets
	1 Introduction
	2 Preliminaries
	3 Comparison of Measurability Conditions
	4 Measurability of Products of Random Sets
	5 Random Functions
	References
Fast CP Model Fitting with Integrated ASD-ALS Procedure
	1 Introduction
	2 The CP Model and Its ALS Estimation
	3 The ASD and INT-3 Algorithms
	4 Simulation Study
	5 Summary and Conclusions
	References
On Quantifying and Estimating Directed Dependence
	1 Introduction
	2 Notation and Preliminaries
	3 Empirical Checkerboard Estimators
		3.1 Simulations
	4 Tackling the Multivariate Setting
	References
Explaining Cautious Random Forests via Counterfactuals
	1 Introduction
	2 Background
		2.1 Cautious Random Forests
		2.2 Counterfactual-Based Explanations
	3 Explaining Imprecision Using Counterfactuals
		3.1 Extracting Determinate Counterfactuals
		3.2 Region Filtering and Counterfactual Initialization
	4 Experimental Results
		4.1 Counterfactual Extraction Efficiency
		4.2 Case Studies
	5 Conclusion
	References
Remarks on Martingale Representation Theorem for Set-Valued Martingales
	1 Introduction
	2 Notations and Preliminaries
	3 Main Result
	References
Author Index