Building Bridges between Soft and Statistical Methodologies for Data Science

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