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NIPS
2001
13 years 11 months ago
A Variational Approach to Learning Curves
We combine the replica approach from statistical physics with a variational approach to analyze learning curves analytically. We apply the method to Gaussian process regression. A...
Dörthe Malzahn, Manfred Opper
NIPS
2001
13 years 11 months ago
Linear-time inference in Hierarchical HMMs
The hierarchical hidden Markov model (HHMM) is a generalization of the hidden Markov model (HMM) that models sequences with structure at many length/time scales [FST98]. Unfortuna...
K. P. Murphy, Mark A. Paskin
NIPS
2001
13 years 11 months ago
Scaling Laws and Local Minima in Hebbian ICA
We study the dynamics of a Hebbian ICA algorithm extracting a single non-Gaussian component from a high-dimensional Gaussian background. For both on-line and batch learning we fin...
Magnus Rattray, Gleb Basalyga
NIPS
2001
13 years 11 months ago
Generalization Performance of Some Learning Problems in Hilbert Functional Spaces
We investigate the generalization performance of some learning problems in Hilbert functional Spaces. We introduce a notion of convergence of the estimated functional predictor to...
T. Zhang
NIPS
2001
13 years 11 months ago
A General Greedy Approximation Algorithm with Applications
Greedy approximation algorithms have been frequently used to obtain sparse solutions to learning problems. In this paper, we present a general greedy algorithm for solving a class...
T. Zhang