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NIPS
2001
15 years 1 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
15 years 1 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
15 years 1 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
97
Voted
NIPS
2001
15 years 1 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
121
Voted
NIPS
2001
15 years 1 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