
Formal Concept Analysis
Description
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Content
- Title
- Preface
- Organization
- Table of Contents
- Invited Talks
- Dark Web: Exploring and Mining the Dark Side of theWeb
- Declarative Modeling for Machine Learning and Data Mining
- References
- Can Concepts Reveal Criminals?
- Cartification: From Similarities to Itemset Frequencies
- Processes Are Concepts, Aren't They?
- Rough Sets and FCA - Scalability Challenges
- References
- Regular Papers
- Approximating Concept Stability
- Introduction
- Main Definitions
- FCA
- Stability
- Approximation of the Number of Closed and Nonclosed Sets
- Computation of Stability
- Experimental Results
- Conclusion
- References
- Logical Analysis of Concept Lattices by Factorization
- Introduction
- Preliminaries
- Formal Concept Analysis
- Complete Tolerances and Block Relations
- Residuated Lattices
- Main Results
- Tolerance Residuated Lattice
- First-Order Fuzzy Logic for Factorizing Concept Lattices
- Illustrative Example
- Conclusion
- Future Work
- References
- Basic Level of Concepts in Formal Concept Analysis
- Introduction
- Motivation
- Paper Overview
- Related Work
- Preliminaries and Notation
- Basic Level of Concepts in the Psychology of Concepts
- An Approach to Basic Level in FCA
- Experiments
- Experiment 1
- Experiment 2
- Conclusions and Future Research
- References
- A Peep through the Looking Glass: Articulation Points in Lattices
- Introduction
- Preliminaries
- Relations, Concepts and Lattices
- Graphs
- Bipartite Graphs
- Co-bipartite Graphs
- Lattices and Co-bipartite Graphs
- Example
- Lattices with an Articulation Point
- Cases Where the Lattice Has an Articulation Point
- Expressing the Mirror Articulation Point
- Impact on the Co-bipartite Graph
- Artificially Creating an Articulation Point of the Lattice
- Finding the Articulation Points of a Lattice
- Computing a Maximal Chain of the Lattice
- Computing the Articulation Points from a Maximal Chain of the Lattice
- Finding the Clique Minimal Separator Decomposition of a Co-bipartite Graph
- Lattices Where Every Concept Is an Articulation Point
- Chain Lattices and the Corresponding Graphs
- Recognizing Chain Lattices and the Corresponding Graphs
- Creating a Chain Lattice and Corresponding Graph Embeddings
- Conclusion and Perspectives
- References
- Practical Use of Formal Concept Analysis in Service-Oriented Computing
- Introduction
- Challenges of Service Selection
- Theoretical Fundations: Formal Concept Analysis
- Global Approach
- Application to Services
- Service Registry
- Decision Structure
- Algorithms for Selection
- Reacting to Service Availability at Runtime
- Implementation and Validation
- Implementation
- Experimental Results
- Related Work
- Conclusion
- References
- Publication Analysis of the Formal Concept Analysis Community
- Introduction
- Related Work
- Dataset
- Gathering and Preprocessing
- Notations and Derived Data Structures
- Definitions and Methodology
- Results
- Conferences
- Authors
- Publications
- Future Work
- References
- References of the Analyzed Publications
- Understanding the Semantic Structure of Human fMRI Brain Recordings with Formal Concept Analysis
- Introduction
- Organization of Visual Processing in Humans and Previous Research
- Formal Concept Analysis
- fMRI Experiment
- Experimental Methods and Data Preprocessing
- Search Volumes and Voxel Selection
- Learning the Formal Context with a Hierarchical Bayesian Classifier
- Results
- Conclusion
- References
- Cubes of Concepts: Multi-dimensional Exploration of Multi-valued Contexts
- Introduction
- Preliminaries
- Multi-valued Contexts
- Value Domains and Attribute-Value Schemas
- Attribute Contexts and Feature Context
- Cubes of Formal Concepts as Navigation Places
- Representation and Interaction in Abilis
- Comparison with OLAP
- Related Work
- Conclusion
- References
- Ordinal Factor Analysis
- Introduction
- Conceptual Factorisation
- Ordinal Factors
- Conclusion
- References
- A Macroscopic Approach to FCA and Its Various Fuzzifications
- Introduction
- Biresiduation
- Biadditivity
- Abstract Concepts and Maximal Rectangles
- Macroscopics: Combining Biresiduation and Biadditivity
- Conclusion
- References
- A Connection between Clone Theory and FCA Provided by Duality Theory
- Introduction
- Preliminaries
- Category Theory
- Clones
- Hartung's Duality for Lattices
- Duality Theory for Clones
- Clones over Bounded Lattices
- A Small Illustration of the Duality
- Conclusion
- References
- Formal Concept Discovery in Semantic Web Data
- Introduction
- Related Work
- Semantic Web Data
- FCA Algorithms and Benchmarks
- FCA and the Semantic Web
- Towards a Concept Layer for the Semantic Web
- Applying FCA to Semantic Web Data
- Concept Computation Process Overview
- Extracting Contexts from the Semantic Web
- Computing Concepts
- Semantic Web Data Properties
- Experiments
- Web Data Extraction and Preparation
- FCA Algorithms: Ensuring Fairness
- FCA Algorithms Performance: Traditional vs. Web Data
- FCA Algorithms Performance: Web-Scale Data
- Conclusion
- References
- Concept Lattices of Incomplete Data
- Introduction
- Preliminaries
- Concept Lattices
- Boolean Algebras and Residuated Lattices
- L-sets and L-relations
- Boolean Algebras with Variables
- Incomplete Contexts
- Formal Concept Analysis in Fuzzy Setting
- Concept Lattices of Incomplete Contexts
- An Illustrative Example
- Experiments
- Conclusion and Future Research
- References
- Formal Concept Analysis as a Framework for Business Intelligence Technologies
- Introduction
- Preliminaries
- Formal Concept Analysis in Crisp and Fuzzy Settings
- Classical Measure WaKli:Gen and Aggregation Operators CKKM:AO
- On Line Analytical Processing (OLAP)
- Formal Concept Analysis with Measures
- Formal Concept Analysis with Measures - Theory
- FCA with Measures - Comprehensive Example
- Applications of Formal Concept Analysis with Measures
- Extent Values and Generalized OLAP Cube
- Constraints of Lattice with Values via Closure Operators
- FCA in Fuzzy Settings with Measures and Fuzzy OLAP
- Conclusion and Future Research
- References
- Good Classification Tests as Formal Concepts
- Introduction
- The Basic Terminology of Formal Concept Analysis
- Good Diagnostic Test Definition in Terms of FCA
- Good Diagnostic Tests and Inference FunctionalDependencies
- Conclusion
- References
- Modeling Preferences over Attribute Sets in Formal Concept Analysis
- Introduction
- Universal Preferences
- Existential Preferences
- Conclusion
- References
- Finding Top-N Colossal Patterns Based on Clique Search with Dynamic Update of Graph
- Introduction
- Preliminaries
- Pattern Graph
- Top-N Colossal Frequent Pattern Mining
- Finding Top-N Colossal Patterns with Pattern Graph
- Fundamental Idea
- More about Prunings of Useless Cliques
- Expanding Clique with Pruning Rules
- Algorithm for Finding Top-N Colossal Patterns
- Experimental Results
- Concluding Remarks
- References
- Quantitative Concept Analysis
- Introduction
- Proxets
- Definition, Intuition, Examples
- Derived Proxets and Notations
- Vectors, Limits, Adjunctions
- Upper and Lower Vectors
- Limits
- Completions
- Adjunctions
- Projectors and Nuclei
- Cones and Cuts
- Proximity Matrices and Their Decomposition
- Definitions, Connections
- Matrix Decomposition through Nucleus
- Universal Properties
- Representable Concepts and Their Proximities
- Decomposition without Completion
- Computing Proximities of Representable Concepts
- Discussion and Future Work
- References
- Some Notes on Managing Closure Operators
- Introduction
- Preliminaries
- Closure Operators
- Contexts
- Implications
- Size Comparisons
- Algorithms for Managing Closure Operators
- Finer or Coarser?
- Adding a Closed Set
- Adding an Implication
- Conversion of Representations
- Conclusion
- References
- Distributed Formal Concept Analysis Algorithms Based on an Iterative MapReduce Framework
- Introduction
- Related Work
- Contributions
- Formal Concept Analysis
- Ganter: Iterative Closure Mining Algorithm
- Distributed Algorithms for Formal Concept Mining
- MRGanter
- MRGanter+
- Twister MapReduce
- Evaluation
- Test Environment and Datasets
- Results and Analysis
- Conclusion
- References
- Author Index
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