Nonlinear Learning using Local Coordinate Coding
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Summary
It is shown that a high dimensional nonlinear function can be approximated by a global linear function with respect to this coding scheme, and the approximation quality is ensured by the locality of such coding.
- Type
- article
- Published
- 2009-12-07
- Cited by
- 809
- References
- 13
- OpenAlex
- https://openalex.org/W2134563198
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:1045818
Keywords
Nonlinear dimensionality reduction, Nonlinear system, Locality, Coding (social sciences), Computer science
References
- Local Regression: Automatic Kernel Carpentry
- A global geometric framework for nonlinear dimensionality reduction.
- Nonlinear dimensionality reduction by locally linear embedding.
- Local Learning Algorithms
- Laplacian Eigenmaps for Dimensionality Reduction and Data Representation
- Sparse Feature Learning for Deep Belief Networks
- Self-taught learning: transfer learning from unlabeled data
- Supervised Dictionary Learning
- Consistency and Localizability
- Supervised Dictionary Learning
- Reducing the Dimensionality of Data with Neural Networks
- Efficient sparse coding algorithms
- This PDF file includes: Materials and Methods
Cited by
- Sparsity-Based Generalization Bounds for Predictive Sparse Coding
- Face Super-Resolution via Multilayer Locality-Constrained Iterative Neighbor Embedding and Intermediate Dictionary Learning
- Self-Similarity Constrained Sparse Representation for Hyperspectral Image Super-Resolution
- Towards large-scale multimedia retrieval enriched by knowledge about human interpretation
- Kernel Coding: General Formulation and Special Cases
- Unsupervised Feature Learning and Deep Learning: A Review and New Perspectives
- Locality-Constrained Concept Factorization
- Learning Invariant Color Features for Person Reidentification
- Higher-order Occurrence Pooling on Mid- and Low-level Features: Visual Concept Detection
- Large-scale interactive exploratory visual search
- Nuclei/Cell Detection in Microscopic Skeletal Muscle Fiber Images and Histopathological Brain Tumor Images Using Sparse Optimizations
- Extended Bag-Of-Words Formalism For Image Classification
- Handwritten digit recognition using biologically inspired features
- Learning Hierarchical Feature Extractors For Image Recognition
- Penalized collaborative representation based classification for face recognition
- Large scale support vector machines algorithms for visual classification
- Learning Deep Visual Representations
- Handling imperfections for multimodal image annotation. (Gestion des imperfections pour l'annotation multimodale d'images)
- Scattering Representations for Recognition
- A New Image Retrieval Algorithm Based on Sparse Coding
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