High-Dimensional Projection Pursuit: Outer Bounds and Applications to Interpolation in Neural Networks.
Kangjie ZhouAndrea MontanariPublished in: COLT (2022)
Keyphrases
- high dimensional
- neural network
- low dimensional
- upper bound
- nearest neighbor
- pattern recognition
- high dimensionality
- upper and lower bounds
- fuzzy logic
- lower bound
- artificial neural networks
- dimensionality reduction
- parameter space
- similarity search
- high dimensional problems
- image interpolation
- recurrent neural networks
- genetic algorithm
- linear interpolation
- multilayer perceptron
- data points
- high dimensional data
- back propagation
- self organizing maps
- back projection
- error bounds
- manifold learning
- training process
- hopfield neural network
- interpolation methods
- high dimensional spaces
- sparse data
- neural network model
- lower and upper bounds
- multi layer perceptron
- fuzzy systems
- multi layer
- data sets
- machine learning
- multi dimensional
- worst case
- query processing