Explicit Relation between Low-Dimensional LLL-Reduced Bases and Shortest Vectors.
Kotaro MatsudaAtsushi TakayasuTsuyoshi TakagiPublished in: IEICE Trans. Fundam. Electron. Commun. Comput. Sci. (2019)
Keyphrases
- low dimensional
- vector space
- lower dimensional
- high dimensional
- high dimensional data
- manifold learning
- dimensionality reduction
- data points
- dimension reduction
- high dimensional feature space
- principal component analysis
- euclidean space
- input space
- basis functions
- shortest path
- nonlinear dimensionality reduction
- low density
- machine learning
- neural network
- principal components
- feature space
- linear subspace
- multidimensional scaling
- semantic space
- data sets