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NIPS
2000
13 years 6 months ago
From Margin to Sparsity
We present an improvement of Noviko 's perceptron convergence theorem. Reinterpreting this mistakebound as a margindependent sparsity guarantee allows us to give a PAC{style ...
Thore Graepel, Ralf Herbrich, Robert C. Williamson
CORR
2010
Springer
171views Education» more  CORR 2010»
13 years 4 months ago
Solving Inverse Problems with Piecewise Linear Estimators: From Gaussian Mixture Models to Structured Sparsity
A general framework for solving image inverse problems is introduced in this paper. The approach is based on Gaussian mixture models, estimated via a computationally efficient MAP...
Guoshen Yu, Guillermo Sapiro, Stéphane Mall...
CVPR
2011
IEEE
12 years 8 months ago
Max-margin Clustering: Detecting Margins from Projections of Points on Lines
Given a unlabelled set of points X ∈ RN belonging to k groups, we propose a method to identify cluster assignments that provides maximum separating margin among the clusters. We...
Raghuraman Gopalan, Jagan Sankaranarayanan
NIPS
2001
13 years 6 months ago
Information-Geometrical Significance of Sparsity in Gallager Codes
We report a result of perturbation analysis on decoding error of the belief propagation decoder for Gallager codes. The analysis is based on information geometry, and it shows tha...
Toshiyuki Tanaka, Shiro Ikeda, Shun-ichi Amari
ECML
2005
Springer
13 years 10 months ago
Margin-Sparsity Trade-Off for the Set Covering Machine
We propose a new learning algorithm for the set covering machine and a tight data-compression risk bound that the learner can use for choosing the appropriate tradeoff between the ...
François Laviolette, Mario Marchand, Mohak ...