Type 1 and 2 mixtures of Kullback-Leibler divergences as cost functions in dimensionality reduction based on similarity preservation
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Summary
This paper proposes a different mixture of KL divergences, which is a scaled version of the generalized Jensen-Shannon divergence, and shows experimentally that this divergence produces embeddings that better preserve small K-ary neighborhoods, as compared to both the single KL divergence used in SNE and t-SNE and the mixture used in NeRV.
- Type
- article
- Published
- 2013-07-01
- Cited by
- 102
- References
- 47
- OpenAlex
- https://openalex.org/W2013736751
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:8526428
Keywords
Softmax function, Kullback–Leibler divergence, Embedding, Dimensionality reduction, Divergence (linguistics)
References
- Columbia Object Image Library (COIL100)
- Curvilinear Distance Analysis versus Isomap
- A kernel view of the dimensionality reduction of manifolds
- Algorithms for Drawing Graphs: an Annotated Bibliography
- Multidimensional scaling: I. Theory and method
- Quality assessment of dimensionality reduction: Rank-based criteria
- Some distance properties of latent root and vector methods used in multivariate analysis
- A global geometric framework for nonlinear dimensionality reduction.
- Local multidimensional scaling
- Generalized Alpha-Beta Divergences and Their Application to Robust Nonnegative Matrix Factorization
- Nonlinear dimensionality reduction by locally linear embedding.
- Discussion of a set of points in terms of their mutual distances
- Modern Multidimensional Scaling: Theory and Applications
- On the convexity of some divergence measures based on entropy functions
- Analysis of a complex of statistical variables into principal components.
- Scale-independent quality criteria for dimensionality reduction
- Correlation-maximizing surrogate gene space for visual mining of gene expression patterns in developing barley endosperm tissue
- Gradient-based learning applied to document recognition
- Stochastic neighbor embedding (SNE) for dimension reduction and visualization using arbitrary divergences
- Nonlinear projection with curvilinear distances: Isomap versus curvilinear distance analysis
Cited by
- Advances in dissimilarity-based data visualisation
- A visual framework to accelerate knowledge discovery based on dimensionality reduction minimizing degradation of quality
- Discriminative dimensionality reduction for regression problems using the Fisher metric
- Data visualization via latent variables and mixture models: a brief survey
- Metric Learning in Dimensionality Reduction
- From one graph to many: Ensemble transduction for content-based database retrieval
- Analysis of Electricity Bill Data using Interactive Dimensionality Reduction
- Multi-scale similarities in stochastic neighbour embedding: Reducing dimensionality while preserving both local and global structure
- Correlation-based embedding of pairwise score data
- Generalized kernel framework for unsupervised spectral methods of dimensionality reduction
- A methodology to compare Dimensionality Reduction algorithms in terms of loss of quality
- Data visualization by nonlinear dimensionality reduction
- Interactive interface for efficient data visualization via a geometric approach
- Dimensionality Reduction by Supervised Neighbor Embedding Using Laplacian Search
- Vector Quantization by Minimizing Kullback-Leibler Divergence
- Towards Dimensionality Reduction for Smart Home Sensor Data
- Recent methods for dimensionality reduction: A brief comparative analysis
- Human-centered machine learning through interactive visualization
- Unsupervised dimensionality reduction: the challenge of big data visualization
- Geometrical homotopy for data visualization
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