
Graph-Based Representations in Pattern Recognition
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The 22 full papers included in this volume together with an invited talk were carefully reviewed and selected from 28 submissions. The papers discuss research results and applications at the intersection of pattern recognition, image analysis, and graph theory. They cover topics such as graph edit distance, graph matching, machine learning for graph problems, network and graph embedding, spectral graph problems, and parallel algorithms for graph problems.
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Content
- Intro
- Preface
- Organization
- Contents
- Experimental Evaluation of Subgraph Isomorphism Solvers
- 1 Introduction
- 2 Experimental Set-Up
- 3 Does the Solving Time Depend on Graph Sizes?
- 4 Where Are the Hard Instances?
- 5 Experimental Comparison of the Solvers
- 6 Combining Solvers to Take the Best of Them
- 7 Conclusion
- References
- GEDLIB: A C++ Library for Graph Edit Distance Computation
- 1 Introduction
- 2 Overall Architecture
- 3 User Interface
- 4 Abstract Classes for Implementing GED Algorithms
- 5 Abstract Class for Implementing Edit Costs
- 6 Conclusions and Future Work
- References
- Learning the Graph Edit Costs: What Do We Want to Optimise?
- Abstract
- 1 Introduction
- 2 Attributed Graphs and Graph Edit Distance
- 3 Learning Methods and Objective Functions
- 4 Experimental Evaluation
- 5 The Conclusions
- Acknowledgments
- References
- Sub-optimal Graph Matching by Node-to-Node Assignment Classification
- 1 Introduction
- 2 Definitions
- 2.1 Attributed Graphs and Graph Edit Distance
- 2.2 Approximating the Graph Edit Distance
- 3 Learning Graph Matching
- 3.1 Learning the Edit Costs and Graph Embedding
- 3.2 From Edit Costs Estimation to Node Assignment Classification
- 3.3 Training the Classifier
- 4 Experimental Evaluation
- 4.1 Database Description
- 4.2 Graph Matching Performance
- 4.3 Runtime Analysis
- 5 Conclusions
- References
- Cross-Evaluation of Graph-Based Keyword Spotting in Handwritten Historical Documents
- 1 Introduction
- 1.1 Related Work
- 1.2 Contribution
- 2 Graph-Based Keyword Spotting
- 2.1 Image Preprocessing
- 2.2 Handwriting Graphs
- 2.3 Graph Matching
- 2.4 Ensemble Methods
- 3 Experimental Evaluation
- 3.1 Experimental Setup
- 3.2 Cross-Evaluation
- 3.3 Ensemble Methods
- 4 Conclusion and Outlook
- References
- Graph Edge Entropy in Maxwell-Boltzmann Statistics for Alzheimer's Disease Analysis
- 1 Introduction
- 2 Graph Representation
- 2.1 Preliminaries
- 2.2 Von Neumann Edge Entropy
- 3 Thermodynamic Statistics and Global Entropy Decomposition
- 3.1 Thermodynamic Entropy
- 3.2 Maxwell-Boltzmann Statistics
- 3.3 Edge Entropy Decomposition
- 4 Experiments and Evaluations
- 4.1 Dataset
- 4.2 Experimental Results
- 5 Conclusion
- References
- Solving the Graph Edit Distance Problem with Variable Partitioning Local Search
- 1 Introduction
- 2 GED Definition and F3 Formulation
- 2.1 GED Problem Definition
- 2.2 Mixed Integer Linear Program
- 2.3 F3 Formulation
- 3 VPLS Heuristic
- 3.1 Main Features of VPLS
- 3.2 VPLS for the GED Problem
- 4 Computational Experiments
- 5 Conclusion
- References
- A Database and Evaluation for Classification of RNA Molecules Using Graph Methods
- 1 Introduction
- 2 Related Work
- 3 Database
- 4 RNA Representation
- 5 Classification Methods
- 5.1 Sequence-Based Methods
- 5.2 Weisfeiler-Lehman Optimal Assignment (WL-OA)
- 5.3 Shortest Path Embedding
- 5.4 All Paths and Cycles Embedding(APC)
- 6 Results
- 7 Conclusion
- References
- Event Prediction Based on Unsupervised Graph-Based Rank-Fusion Models
- 1 Introduction
- 2 Preliminaries
- 3 Graph-Based Rank Fusion for Event Prediction
- 3.1 Fusion Graph Extraction
- 3.2 Fusion Graph Embedding
- 3.3 Event Prediction from Fusion Vectors
- 4 Experimental Evaluation
- 4.1 Validation Scenario
- 4.2 Effectiveness Results
- 5 Conclusions
- References
- Generalized Median Graph via Iterative Alternate Minimizations
- 1 Introduction
- 2 Graph Transformations and Graph Edit Distance
- 3 Estimating a Generalized Median Graph
- 3.1 Proposed Algorithm
- 3.2 Updating Vertex Attributes
- 3.3 Updating Edges and Their Attributes
- 4 Experimental Results
- 5 Conclusion
- References
- An Hypergraph Data Model for Expert Finding in Multimedia Social Networks
- 1 Introduction
- 2 Related Work
- 3 Modeling Multimedia Social Networks
- 3.1 Basic Definitions
- 3.2 Relationships
- 3.3 Hypergraph Building
- 3.4 Centrality Measures for Expert Finding
- 4 System Architecture
- 5 Results and Discussion
- 6 Conclusion
- References
- On-Line Learning the Edit Costs Based on an Embedded Model
- 1 Introduction
- 2 Graph Edit Distance
- 3 Learning the Graph Edit Costs
- 3.1 Off-Line Learning the Graph Edit Costs
- 3.2 On-Line Learning the Graph Edit Costs
- 4 Experimental Validation
- 5 Conclusions
- References
- Congratulations! Dual Graphs Are Now Orientated!
- 1 Introduction
- 2 Orienting the Primal Graph
- 2.1 Contracting Plateaus
- 3 Orientation of Dual Graphs
- 4 Merging of Two Slope Regions
- 4.1 Orientation of Level Curves Shared by Multiple Monotonic Paths
- 5 Conclusion
- References
- A Parallel Algorithm for Subgraph Isomorphism
- 1 Introduction
- 2 VF3-Light: The Sequential Algorithm
- 2.1 Graphs and Graph Matching
- 2.2 VF3-Light
- 3 Parallel Algorithms
- 4 Experiments
- 5 Conclusions
- References
- Local Binary Pattern Based Graph Construction for Hyperspectral Image Segmentation
- 1 Introduction
- 2 Preliminaries
- 2.1 Graph
- 2.2 Local Binary Patterns
- 3 LBP-based Graph Construction
- 4 HSI Segmentation
- 5 Experiments
- 6 Conclusion
- References
- A Parallel MCMC Algorithm for the Balanced Graph Coloring Problem
- 1 Introduction
- 2 Parallel MCMC Sampling
- 2.1 Notations
- 2.2 Markov Chain Monte Carlo for Sampling Colorings
- 2.3 Generation of Proposal Color
- 2.4 Algorithm
- 3 Numerical Simulations
- 3.1 CUDA Parallel Implementations
- 3.2 Performances on ER Graphs
- 4 Conclusions
- References
- An Attributed Graph Embedding Method Using the Tree-Index Algorithm
- 1 Introduction
- 2 A Vertex Label Strengthening Method
- 2.1 A Tree-Index Based Vertex Label Strengthening Method
- 2.2 A Label Shannon Entropy
- 3 The Embedding Method for Attributed Graphs
- 3.1 The Attributed Graph Embedding Method Through the TI Algorithm
- 3.2 The Computational Complexity Analysis
- 4 Experimental Evaluation
- 4.1 Datasets
- 4.2 Experiments on Graph Datasets
- 4.3 Stability Evaluation
- 5 Conclusion
- References
- A Graph-Theoretic Framework for Summarizing First-Person Videos
- 1 Introduction
- 2 Related Works
- 3 Proposed Method
- 3.1 Graph Based Center-Surround Model
- 3.2 Frame Based Feature Extraction
- 3.3 Construction of the Video Similarity Graph
- 3.4 MST Based Improved Clustering
- 4 Time-Complexity Analysis
- 5 Experimental Results
- 5.1 Tuning of the Parameters
- 5.2 Ablation Study
- 5.3 Cluster Validation
- 5.4 Results on SumMe Dataset
- 5.5 Results on TvSum50 Dataset
- 6 Conclusion
- References
- Network Time Series Analysis Using Transfer Entropy
- 1 Introduction
- 2 Entropic Analysis of Information Flow on Edges
- 2.1 Preliminaries
- 2.2 Information Flow Between Time Series and Edge Weighting
- 2.3 Embedding Using Multidimensional Scaling
- 3 Experiments
- 3.1 Graph Entropy
- 3.2 Network Embedding
- 4 Conclusion
- References
- Reconstructing Objects from Noisy Images at Low Resolution
- 1 Introduction
- 2 Related Work
- 2.1 Related Reconstruction Approaches
- 2.2 Related Segmentation Algorithms
- 2.3 Reconstructing r-regular Objects from Ideal Images
- 3 Noisy Images
- 4 A Greedy Local Algorithm
- 5 Similarity Weights
- 6 Experiments
- 7 Discussion
- References
- Network Embedding by Walking on the Line Graph
- 1 Introduction
- 2 Classic vs Neural Embeddings
- 2.1 Classic Embeddings
- 2.2 Neural Embeddigs
- 2.3 LINE and DeepWalk vs node2vec Factorizations
- 3 Node vs Edges Embedding
- 3.1 The Line Graph
- 3.2 Spectral Analysis
- 4 Experiments and Discussion
- 4.1 Datasets (Networks)
- 5 Conclusions
- References
- Discriminant Manifold Learning with Graph Convolution Based Regression for Image Classification
- 1 Introduction
- 2 Related Work
- 2.1 Notation and Preliminaries
- 2.2 Manifold Regularized Deep Learning Algorithm (MRDL)
- 2.3 Graph Convolutional Networks (GCN)
- 3 Proposed Method
- 4 Experimental Results
- 4.1 Datasets
- 4.2 Experimental Setup
- 4.3 Method Comparison
- 5 Conclusion
- References
- Graph-Based Representations for Supporting Genome Data Analysis and Visualization: Opportunities and Challenges
- 1 Introduction
- 2 DNA Analysis Problems
- 2.1 Genome Assembly
- 2.2 Sequence Alignment
- 2.3 Variant Calling and Pangenomics Analysis
- 3 Graph-Based Representation for DNA Sequences
- 3.1 Overlap Graphs
- 3.2 String Graphs
- 3.3 De Bruijn Graphs
- 3.4 Genome Alignment Graphs
- 3.5 Tiled Graphs and Sequence Graphs
- 3.6 Variation Graphs
- 4 Graph Based Tools for Genome Analysis
- 5 Main Issues and Challenges for Use of Graph for DNA Analysis
- 6 Conclusions
- References
- Author Index
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