In recent years there has been a growing interest to extend classical methods for data analysis.
The aim is to allow a more flexible modeling of phenomena such as uncertainty, imprecision or ignorance.
Such extensions of classical probability theory and statistics are useful in many real-life situations, since uncertainties in data are not only present in the form of randomness --- various types of incomplete or subjective information have to be handled.
About twelve years ago the idea of strengthening the dialogue between the various research communities in the field of data analysis was born and resulted in the International Conference Series on Soft Methods in Probability and Statistics (SMPS).
This book gathers contributions presented at the SMPS'2012 held in Konstanz, Germany. Its aim is to present recent results illustrating new trends in intelligent data analysis.
It gives a comprehensive overview of current research into the fusion of soft computing methods with probability and statistics.
Synergies of both fields might improve intelligent data analysis methods in terms of robustness to noise and applicability to larger datasets, while being able to efficiently obtain understandable solutions of real-world problems.
Author(s): Christian Borgelt (auth.), Rudolf Kruse, Michael R. Berthold, Christian Moewes, María Ángeles Gil, Przemysław Grzegorzewski, Olgierd Hryniewicz (eds.)
Series: Advances in Intelligent Systems and Computing 190
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2013
Language: English
Pages: 584
Tags: Computational Intelligence; Artificial Intelligence (incl. Robotics)
Front Matter....Pages 1-14
Front Matter....Pages 1-1
Soft Pattern Mining in Neuroscience....Pages 3-10
Exploring Big Data with Scalable Soft Clustering....Pages 11-15
On Creative Uses of Word Associations....Pages 17-24
Front Matter....Pages 25-25
Combining Imprecise Probability Masses with Maximal Coherent Subsets: Application to Ensemble Classification....Pages 27-35
The Goodman-Nguyen Relation in Uncertainty Measurement....Pages 37-44
The CONEstrip Algorithm....Pages 45-54
Towards a Robust Imprecise Linear Deconvolution....Pages 55-62
2D Probability-Possibility Transformations....Pages 63-72
A Note on the Convex Structure of Uncertainty Measures on MV-algebras....Pages 73-81
Cumulative Distribution Function Estimation with Fuzzy Data: Some Estimators and Further Problems....Pages 83-91
On Equations with a Fuzzy Stochastic Integral with Respect to Semimartingales....Pages 93-101
Front Matter....Pages 103-103
A Linear Regression Model for Interval-Valued Response Based on Set Arithmetic....Pages 105-113
A Proposal of Robust Regression for Random Fuzzy Sets....Pages 115-123
Bootstrap Comparison of Statistics for Testing the Homoscedasticity of Random Fuzzy Sets....Pages 125-133
Fuzzy Rating vs. Fuzzy Conversion Scales: An Empirical Comparison through the MSE....Pages 135-143
A Law of Large Numbers for Exchangeable Random Variables on Nonadditive Measures....Pages 145-152
Credibility Theory Oriented Sign Test for Imprecise Observations and Imprecise Hypotheses....Pages 153-163
A Note on Large Deviations of Random Sets and Random Upper Semicontinuous Functions....Pages 165-172
Conditional Density Estimation Using Fuzzy GARCH Models....Pages 173-181
LP Methods for Fuzzy Regression and a New Approach....Pages 183-191
Front Matter....Pages 103-103
Fuzzy Least Squares Estimation with New Fuzzy Operations....Pages 193-202
Efficient Calculation of Kendall’s τ for Interval Data....Pages 203-210
Continuous Gaussian Estimation of Distribution Algorithm....Pages 211-218
Regional Spatial Analysis Combining Fuzzy Clustering and Non-parametric Correlation....Pages 219-227
The p-value Line: A Way to Choose from Different Test Results....Pages 229-236
Outlier Detection in High Dimension Using Regularization....Pages 237-244
Robust Diagnostics of Fuzzy Clustering Results Using the Compositional Approach....Pages 245-253
Rank Tests under Uncertainty: Regression and Local Heteroscedasticity....Pages 255-261
Robustness Issues in Text Mining....Pages 263-272
An Alternative Approach to the Median of a Random Interval Using an L 2 Metric....Pages 273-281
Comparing Classical and Robust Sparse PCA....Pages 283-291
An Exact Algorithm for Likelihood-Based Imprecise Regression in the Case of Simple Linear Regression with Interval Data....Pages 293-301
Front Matter....Pages 303-303
Evolution of the Dependence of Residual Lifetimes....Pages 305-312
A Spatial Contagion Test for Financial Markets....Pages 313-320
On Copulas and Differential Inclusions....Pages 321-329
An Analytical Characterization of the Exchangeable Wide-Sense Geometric Law....Pages 331-340
HMM and HAC....Pages 341-348
Some Smoothing Properties of the Star Product of Copulas....Pages 349-357
Statistical Hypothesis Test for the Difference between Hirsch Indices of Two Pareto-Distributed Random Samples....Pages 359-367
How to Introduce Fuzzy Rationality Measures and Fuzzy Revealed Preferences into a Discrete Choice Model....Pages 369-377
Front Matter....Pages 303-303
Fuzzy Rule-Based Ensemble Forecasting: Introductory Study....Pages 379-387
Hybrid Models: Probabilistic and Fuzzy Information....Pages 389-397
Conjunction, Disjunction and Iterated Conditioning of Conditional Events....Pages 399-407
Ockham’s Razor in Probability Logic....Pages 409-417
Conglomerable Coherent Lower Previsions....Pages 419-427
Evidential Networks from a Different Perspective....Pages 429-436
Front Matter....Pages 437-437
Generalised Median Polish Based on Additive Generators....Pages 439-448
Grasping the Content of Web Servers Logs: A Linguistic Summarization Approach....Pages 449-457
Automatic Tuning of Image Segmentation Parameters by Means of Fuzzy Feature Evaluation....Pages 459-467
Modified Sequential Forward Selection Applied to Predicting Septic Shock Outcome in the Intensive Care Unit....Pages 469-477
Possibilistic Local Structure for Compiling Min-Based Networks....Pages 479-487
Naïve Bayes Ant Colony Optimization for Experimental Design....Pages 489-497
Inferences in Binary Regression Models for Independent Data with Measurement Errors in Covariates....Pages 499-505
Multi-dimensional Failure Probability Estimation in Automotive Industry Based on Censored Warranty Data....Pages 507-515
Resolution of Inconsistent Revision Problems in Markov Networks....Pages 517-524
Analysis of Dynamic Brain Networks Using VAR Models....Pages 525-532
Visualising Temporal Item Sets: Guided Drill-Down with Hierarchical Attributes....Pages 533-541
Bayesian Block-Diagonal Predictive Classifier for Gaussian Data....Pages 543-551
Stochastic Measure of Informativity and Its Application to the Task of Stable Extraction of Features....Pages 553-561
Clustering on Dynamic Social Network Data....Pages 563-571
Front Matter....Pages 437-437
Merging Partitions Using Similarities of Anchor Subsets....Pages 573-581
Back Matter....Pages 0--1
