
Scalable Uncertainty Management
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Content
- Title page
- Preface
- Organization
- Table of Contents
- Invited Talks
- Causality, Responsibility, and Blame: A Structural-Model Approach
- Fuzzy Logic, Annotation Domains and Semantic Web Languages
- Introduction
- Semantic Web Languages: Overview
- Mathematical Fuzzy Logic Basics
- Fuzzy Logic and Semantic Web Languages
- Fuzzy RDFS
- Fuzzy OWL
- Fuzzy RIF
- Conclusions
- References
- Discussant Contributions
- Logic Programming and Uncertainty
- Introduction
- Logical Uncertainty in Logic Programming
- Answer Sets and Use of Classical Negation
- Other Logic Programming Languages and Systems for Expressing Logical Uncertainty
- Multi-valued and Quantitative Uncertainty in Logic Programming
- Logic Programming with Probabilities
- Logic Programming with Probabilities, Causality and Generalized Updates: P-log
- Conclusion and Future Directions
- References
- Evaluating Probabilistic Inference Techniques: A Question of "When," not "Which"
- Introduction
- Background Knowledge
- Bayesian Networks
- Variable Elimination
- Arc Reversal
- Join Tree Propagation
- ``When'' versus ``Which''
- Using Multiple Algorithms for Message Construction
- Using Multiple Heuristics for Determining AR Orderings
- Knowing ``When:'' Semantics of Intermediate Factors
- Conclusion and Future Work
- References
- Probabilistic Logic Networks in a Nutshell
- Introduction: What is PLN?
- Relationship of PLN to Other Uncertain Inference Engines
- Knowledge Representation within PLN
- Core FOPLN Relationships
- Auxiliary FOPLN Relationships
- PLN Truth Values
- PLN Rules and Formulas
- Higher-Order PLN
- Reducing HOPLN to FOPLN
- PLNandAI
- SRAM
- PLN's Relationship to OpenCog
- Conclusion and Future Research Directions
- References
- Dynamics of Beliefs
- Introduction
- Preliminaries
- Revision
- Update
- Merging
- On the Links between Revision, Update and Merging
- Revision vs Update
- Revision vs Merging
- Other Belief Change Operators
- Confluence Operators
- Extrapolation and Approaches Based on Sequences of Observations
- Belief Negotiation
- PrioritizedMerging Operators
- Belief Change in Other Representational Frameworks
- Dynamics of Horn Bases
- Merging of First Order Bases
- Merging of Qualitative Constraint Networks
- Dynamics of Argumentation Frameworks
- Conclusion
- References
- Fuzzy Classifiers - Opportunities and Challenges
- Introduction
- Issues to Address When Constructing a Classifier
- Selection of the Decision Rule (Class Boundary)
- Attribute Selection
- Aggregation across Several Attributes
- Evaluation of Classifiers
- Fuzzy Classifiers
- Opportunities and Challenges for Fuzzy Classifiers
- Error Models for Fuzzy Classifiers
- Conclusions
- References
- A Brief Overview of Research in Argumentation Systems
- Introduction and General Intuitions
- Abstract Argumentation Frameworks
- Arguments with Structure
- Logical Argumentation
- Defeasible Logic Programming (DeLP)
- Other Approaches
- Research Challenges
- Research Context
- References
- Argumentation Systems
- Maximal Ideal Recursive Semantics for Defeasible Argumentation
- Introduction and Motivation
- Preliminaries on RP-DeLP
- Maximal Ideal Output of an RP-DeLP Program
- On the Computation of the Maximal Ideal Output
- SAT Encodings for Finding Warranted Literals
- Looking for Almost Valid Arguments
- Looking for Collective Conflicts
- Conclusions and Future Work
- References
- Argumentation Frameworks as Constraint Satisfaction Problems
- Introduction
- Constraint Satisfaction Problems (CSPs)
- Abstract Frameworks
- Dung's Framework
- Computing Dung's Semantics by CSPs
- Constrained Frameworks
- Basic Definitions
- Mappings into CSPs
- Preference-Based Frameworks
- Related Work
- Conclusion
- References
- On the Equivalence of Logic-Based Argumentation Systems
- Introduction
- Logic-Based Argumentation Systems
- Basic Equivalence of Argumentation Systems
- Strong Equivalence of Argumentation Systems
- Dynamics of Argument Status
- Extending an AS by New Argument(s)
- Removing Argument(s) from an AS
- Conclusion
- References
- Bipolarity in Argumentation Graphs: Towards a Better Understanding
- Introduction
- Background on Abstract Argumentation Frameworks
- Dung Argumentation Framework
- Bipolar Argumentation Framework
- Modelling Various Kinds of Support
- A Need for Specialization of Support
- A Framework for a Comparative Study of Various Supports
- Conclusions and Future Works
- References
- Handling Enthymemes in Time-Limited Persuasion Dialogs
- Introduction
- Arguments and Enthymemes
- A Protocol for Persuasion Dialogs
- A Protocol for Time-Limited Persuasion Dialogs
- Concluding Remarks
- References
- Argumentation Frameworks with Necessities
- Motivation
- Preliminaries
- Answer Sets and -Answer Sets for LPs
- Dung's Argumentation Frameworks
- Bipolar AFs with Necessities
- Adaptation of Acceptability Semantics to AFNs
- AFN as a Classical AF
- AFN and Logic Programs
- Generalized Argumentation Frameworks with Necessities
- Discussion and Related Work
- References
- A Heuristics-Based Pruning Technique for Argumentation Trees
- Introduction and Motivation
- Theoretical Basis
- An Approach to Argument Strength
- Building Dialectical Bonsai
- Empirical Results
- Discussion
- Related Work
- References
- On Warranted Inference in Argument Trees Based Framework
- Introduction
- A Brief Background on Logical Argumentation
- A Refresher on Coherence-Based Approaches from Flat Belief Bases
- Warranted Inference Properties
- A New Class of Counter-Arguments
- Rational Warranted Inference Properties
- Weighted R-warranted Inference
- Discussion and Perspectives
- References
- Probabilistic Inference
- Uncertainty Handling in Quantitative BDD-Based Fault-Tree Analysis by Interval Computation
- Introduction
- Dependability Studies and Fault-Tree Analysis
- The Probability of a Boolean Formula
- Interval Arithmetic and Interval Analysis
- Naive Interval Computations and Logical Dependency
- Interval Analysis Applied to BDDs
- Beyond Two Variables
- Algorithm for Interval Analysis Applied to BDDs
- Application to Fault-Tree Analysis
- Case Study
- Conclusion
- References
- A Branching Time Logic with Two Types of Probability Operators
- Introduction
- Syntax and Semantics
- Axiomatization
- Completeness
- Related Work
- Conclusion and Future Work
- References
- A Partition-Based First-Order Probabilistic Logic to Represent Interactive Beliefs
- Introduction
- Related Work
- Probabilistic First-Order Logic to Represent Interactive Beliefs
- Level 0 Beliefs
- Level 1 Beliefs
- Level n Beliefs
- Conclusion and Future Work
- References
- Patterns Discovery for Efficient Structured Probabilistic Inference
- Introduction
- Description of PRMs
- Structured Inference
- PRM's Patterns Discovery
- Problem and Complexity
- An Approximate Algorithm
- Pruning Rules
- Experimental Results
- Conclusion
- References
- Indirect Elicitation of NIN-AND Trees in Causal Model Acquisition
- Introduction
- NIN-AND Tree Causal Models
- Acquisition of NIN-AND Tree Models
- Generate NIN-AND Tree by Structure Elimination
- Generate NIN-AND Tree by Pairwise Causal Interaction
- Experimental Setup
- Experimental Results
- Simulation Study
- Conclusion
- References
- Dynamic of Beliefs
- Change in Argumentation Systems: Exploring the Interest of Removing an Argument
- Introduction
- Illustrative Example
- Presentation of the Game
- Arguments of the Prosecutor
- Arguments of the Defense
- The Oral Hearing in Front of the Court
- Formal Framework
- First Steps towards a Decision of Removal
- Some Properties Concerning ``Monotony''
- Some Properties of the Expansive Change
- Some Properties of the Narrowing Change
- Discussion and Conclusion
- References
- Incorporating Domain Knowledge and User Expertise in Probabilistic Tuple Merging
- Introduction
- Basics
- Probabilistic Tuples
- Duplicate Elimination
- Domain Knowledge and User Expertise
- Methods for Incorporating External Knowledge
- Aggregation Functions
- Knowledge Rules
- Instance Weights
- Extended Approach for Probabilistic Tuple Merging
- Scalability
- Characteristics of Merging Approaches
- Related Work
- Conclusion
- References
- Qualitative Reasoning about Incomplete Categorization Rules Based on Interpolation and Extrapolation in Conceptual Spaces
- Introduction
- A Functional View on Propositional Knowledge
- Mappings between Attribute Spaces
- Mappings between Conceptual Spaces
- Basic Interpolative Reasoning
- Betweenness
- Semantic Characterization
- Syntactic Characterization
- Refinements and Extrapolative Reasoning
- Related Work
- Conclusions
- References
- A Change Model for Credibility Partial Order
- Introduction and Motivation
- Representation of Informant Credibility Relations
- Change Operators for Credibility Partial Order
- Expansion Operator for Credibility
- Contraction Operator for Credibility
- Revision Operator for Credibility
- Conclusions and Future Work
- References
- Conflict-Aware Historical Data Fusion
- Introduction
- Background and Related Work
- Problems in Historical Data Fusion
- Conflict-Aware Fusion of Historical Data
- Measuring Conflict Degree
- Conflict-Aware Data Fusion
- Conflict-Aware Data Warehousing
- Conclusion
- References
- Information Retrieval and Databases
- Extended Galois Derivation Operators for Information Retrieval Based on Fuzzy Formal Concept Lattice
- Introduction
- Formal Concept Analysis: A Survey
- Classical Settings
- Possibility-Theoretic View of Formal Concept Analysis
- Extending Possibilistic Derivation Operators to the Fuzzy Setting
- Flexible Querying Based of Fuzzy Formal Concepts
- Conjunctive Queries
- Disjunctive Queries
- Negation in Queries
- Illustrative Example
- Conclusion
- References
- Processing Fuzzy Queries in a Peer Data Management System Using Distributed Fuzzy Summaries
- Introduction
- Fuzzy Queries
- Summarizing a Relation
- The Labelling Step
- Fusion Step and Computation of Fuzzy Cardinalities
- Constructing the Summary of a Data Source
- Estimating the Relevance of a Data Source
- Principle of the Approach
- Single Predicate Case
- Case of a Conjunctive Fuzzy Query
- Application Scenario
- The X-Peer Architecture
- Processing Strategy
- Experimentation
- Related Work
- Fuzzy Queries
- Top-k and Skyline Queries
- Conclusion
- References
- Embedding Forecast Operators in Databases
- Introduction
- Motivating Examples
- Basic Notation
- Forecast Operator
- Deterministic Forecast Operator
- Probabilistic Forecast Operator
- Possible Worlds Forecast Operator
- Query Answering with Forecasting Operators
- Related Work and Conclusions
- References
- Ontologies
- Investigating Ontological Similarity Theoretically with Fuzzy Set Theory, Information Content, and Tversky Similarity and Empirically with the Gene Ontology
- Introduction
- Similarity Measurement
- Synthesizing Ontological Similarity
- Information Content in Ontologies
- A Synthesis of Fuzzy Set Compatibility Measures, Information Content, and Tverksy's Similarity Models
- Recent Ontological Similarity Based on Intuitive Uses of Tversky's Models
- Empirical Investigations Using the Gene Ontology
- Conclusions and Future Work
- References
- Answering Threshold Queries in Probabilistic Datalog+/- Ontologies
- Introduction
- Preliminaries
- Guarded Datalog±
- Markov Logic Networks
- Syntax and Semantics of Probabilistic Guarded Datalog
- Syntax
- Semantics
- Algorithms for Answering Threshold Queries
- A Basic Algorithm
- An Annotated Chase Graph-Based Algorithm
- Related Work
- Summary and Outlook
- References
- Coherent Top-k Ontology Alignment for OWL EL
- Introduction
- Description Logics
- Coherent Ontology Alignment
- Greedy Coherent Top-k Alignment
- Optimal Coherent Top-k Alignment
- Experimental Evaluation
- Experimental Set-Up
- Results of the Evaluation
- Conclusion and Future Work
- References
- Possibility Theory and Classification
- Generalized Possibilistic Logic
- Introduction
- Semantics of Possibilistic Logic Constraints
- Inference in Generalized Possibilistic Logic
- Concluding Remarks
- References
- Transformations around Quantitative Possibilistic Logic
- Introduction
- Logical Frameworks for Uncertain Knowledge
- Quantitative Possibilistic Logic
- Penalty Logic
- Graphical Frameworks for Uncertain Knowledge
- Product-Based Possibilistic Networks
- UCP-Networks
- Logical Encoding of Product-Based Possibilistic Networks
- Transformations around Quantitative Possibility Theory
- Encoding Quantitative Possibilistic Base to Penalties
- From UCP Networks to Possibilistic Product-Based Graph
- From Possibilistic Product-Based Graph to UCP Networks
- Relating UCP-Networks and Penalty Logic
- Conclusion
- References
- Imprecise Regression Based on Possibilistic Likelihood
- Introduction
- Background on Possibility Theory
- Possibility Distribution
- Possibility Distribution as a Family of Probability Distributions
- Probability to Possibility Transformation
- Possibilistic Likelihood
- Definition of a Likelihood Function
- Triangular Distribution
- Imprecise Regression Framework
- Definition
- Algorithm
- Properties of Triangular Possibility Distributions
- Related Works
- Experimentations
- Discussion and Conclusion
- References
- Possibilistic Network-Based Classifiers: On the Reject Option and Concept Drift Issues
- Introduction
- Possibility Theory and Possibilistic Network Classifiers
- Possibility Theory: A Brief Refresher
- Possibilistic Networks
- Possibilistic Network Classifiers
- Classification with Reject Option
- Classifiers' Confidence and Reject Option
- Distance Reject
- Ambiguity Reject
- Inputs' Incompleteness Reject
- Concept Drift as a Belief Revision Process
- Jeffrey's Revision Rule
- Concept Drift and Revising a Naive Possibilistic Classifier
- Summary and Conclusions
- References
- Logic Programming
- Weak and Strong Disjunction in Possibilistic ASP
- Introduction
- Preliminaries
- Answer Set Programming
- Possibilistic Logic
- Possibilistic Normal ASP
- Strong Possibilistic Semantics
- Weak Possibilistic Semantics
- Related Work
- Conclusion
- References
- t-DeLP: A Temporal Extension of the Defeasible Logic Programming Argumentative Framework
- Introduction
- Knowledge Representation
- t-DeLP: Defeasible Logic with (discrete) Time
- Nature Does Not Wait: Eager Arguments
- Conclusions and Future Work
- References
- Learning to Act Optimally in Partially Observable Markov Decision Processes Using Hybrid Probabilistic Logic Programs
- Introduction
- Syntax and Semantics of NHPLP
- The Language of $NHPLP_PO$
- Probabilistic Answer Set Semantics of $NHPLP_PO$
- Partially Observable Markov Decision Processes
- APO an Action Language for POMDP
- Syntax of APO
- Semantics of APO
- Reinforcement Learning in NHPLPPO
- Correctness
- Reinforcement Learning Using Answer Set Programming
- Conclusions and Related Work
- References
- Applications
- ChaseT: A Tool for Checking Chase Termination
- Introduction
- System Description
- Application Scenario
- Conclusion
- References
- Swapping-Based Partitioned Sampling for Better Complex Density Estimation: Application to Articulated Object Tracking
- Introduction
- Exploiting Conditional Independences for Tracking
- Proposed Approach
- Partitioned Sampling (PS)
- Swapping-Based Partition Sampling (SBPS)
- Experimental Results
- Conclusion
- References
- A Fuzzy-Based Approach to the Value of Information in Complex Military Environments
- Introduction
- Understanding the Domain Challenge
- Related VOI Challenges
- Approach
- Conclusion
- References
- Handling Sequential Observations in Intelligent Surveillance
- Introduction
- Preliminaries
- The Revised Situation Calculus Framework
- Belief Revision
- Example
- Conclusion
- References
- Author Index
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