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COCO
2010
Springer
149views Algorithms» more  COCO 2010»
13 years 10 months ago
The Gaussian Surface Area and Noise Sensitivity of Degree-d Polynomial Threshold Functions
Abstract. We prove asymptotically optimal bounds on the Gaussian noise sensitivity of degree-d polynomial threshold functions. These bounds translate into optimal bounds on the Gau...
Daniel M. Kane
NIPS
2004
13 years 9 months ago
Dependent Gaussian Processes
Gaussian processes are usually parameterised in terms of their covariance functions. However, this makes it difficult to deal with multiple outputs, because ensuring that the cova...
Phillip Boyle, Marcus R. Frean
NIPS
2003
13 years 9 months ago
Linear Dependent Dimensionality Reduction
We formulate linear dimensionality reduction as a semi-parametric estimation problem, enabling us to study its asymptotic behavior. We generalize the problem beyond additive Gauss...
Nathan Srebro, Tommi Jaakkola
ICIP
2007
IEEE
14 years 9 months ago
Faithful Shape Representation for 2D Gaussian Mixtures
It has been recently discovered that a faithful representation for the shape of some simple distributions can be constructed using invariant statistics [1, 2]. In this paper, we c...
Mireille Boutin, Mary I. Comer