Statistical Query Lower Bounds for Robust Estimation of High-Dimensional Gaussians and Gaussian Mixtures.
Ilias DiakonikolasDaniel M. KaneAlistair StewartPublished in: FOCS (2017)
Keyphrases
- gaussian mixture
- robust estimation
- lower bound
- statistical queries
- high dimensional
- concept class
- upper bound
- gaussian mixture model
- em algorithm
- least squares
- closed form
- expectation maximization
- probability density function
- noisy data
- covariance matrix
- low dimensional
- concept classes
- mixture model
- vc dimension
- dimensionality reduction
- optimal solution
- learning theory
- objective function
- worst case
- density estimation
- high dimensional data
- motion field
- nearest neighbor
- uniform distribution
- similarity search
- np hard
- pac learning
- membership queries
- feature space
- boolean functions
- maximum likelihood
- sample complexity