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Reducing Multiclass to Binary: A Unifying Approach for Margin Classifiers

by Erin L. Allwein, Robert E. Schapire, Yoram Singer - JOURNAL OF MACHINE LEARNING RESEARCH , 2000
"... We present a unifying framework for studying the solution of multiclass categorization problems by reducing them to multiple binary problems that are then solved using a margin-based binary learning algorithm. The proposed framework unifies some of the most popular approaches in which each class ..."
Abstract - Cited by 560 (20 self) - Add to MetaCart
We present a unifying framework for studying the solution of multiclass categorization problems by reducing them to multiple binary problems that are then solved using a margin-based binary learning algorithm. The proposed framework unifies some of the most popular approaches in which each class

A training algorithm for optimal margin classifiers

by Bernhard E. Boser, et al. - PROCEEDINGS OF THE 5TH ANNUAL ACM WORKSHOP ON COMPUTATIONAL LEARNING THEORY , 1992
"... A training algorithm that maximizes the margin between the training patterns and the decision boundary is presented. The technique is applicable to a wide variety of classifiaction functions, including Perceptrons, polynomials, and Radial Basis Functions. The effective number of parameters is adjust ..."
Abstract - Cited by 1848 (44 self) - Add to MetaCart
A training algorithm that maximizes the margin between the training patterns and the decision boundary is presented. The technique is applicable to a wide variety of classifiaction functions, including Perceptrons, polynomials, and Radial Basis Functions. The effective number of parameters

Gradient flows in metric spaces and in the space of probability measures

by Luigi Ambrosio, Nicola Gigli, et al. - LECTURES IN MATHEMATICS ETH ZÜRICH, BIRKHÄUSER VERLAG , 2005
"... ..."
Abstract - Cited by 457 (46 self) - Add to MetaCart
Abstract not found

Greedy Function Approximation: A Gradient Boosting Machine

by Jerome H. Friedman - Annals of Statistics , 2000
"... Function approximation is viewed from the perspective of numerical optimization in function space, rather than parameter space. A connection is made between stagewise additive expansions and steepest{descent minimization. A general gradient{descent \boosting" paradigm is developed for additi ..."
Abstract - Cited by 951 (12 self) - Add to MetaCart
Function approximation is viewed from the perspective of numerical optimization in function space, rather than parameter space. A connection is made between stagewise additive expansions and steepest{descent minimization. A general gradient{descent \boosting" paradigm is developed

Unified analysis of discontinuous Galerkin methods for elliptic problems

by Douglas N. Arnold, Franco Brezzi, Bernardo Cockburn, L. Donatella Marini - SIAM J. Numer. Anal , 2001
"... Abstract. We provide a framework for the analysis of a large class of discontinuous methods for second-order elliptic problems. It allows for the understanding and comparison of most of the discontinuous Galerkin methods that have been proposed over the past three decades for the numerical treatment ..."
Abstract - Cited by 519 (31 self) - Add to MetaCart
Abstract. We provide a framework for the analysis of a large class of discontinuous methods for second-order elliptic problems. It allows for the understanding and comparison of most of the discontinuous Galerkin methods that have been proposed over the past three decades for the numerical

Graphical models, exponential families, and variational inference

by Martin J. Wainwright, Michael I. Jordan , 2008
"... The formalism of probabilistic graphical models provides a unifying framework for capturing complex dependencies among random variables, and building large-scale multivariate statistical models. Graphical models have become a focus of research in many statistical, computational and mathematical fiel ..."
Abstract - Cited by 800 (26 self) - Add to MetaCart
The formalism of probabilistic graphical models provides a unifying framework for capturing complex dependencies among random variables, and building large-scale multivariate statistical models. Graphical models have become a focus of research in many statistical, computational and mathematical

Region Competition: Unifying Snakes, Region Growing, and Bayes/MDL for Multi-band Image Segmentation

by Song Chun Zhu, Alan Yuille - IEEE Transactions on Pattern Analysis and Machine Intelligence , 1996
"... We present a novel statistical and variational approach to image segmentation based on a new algorithm named region competition. This algorithm is derived by minimizing a generalized Bayes/MDL criterion using the variational principle. The algorithm is guaranteed to converge to a local minimum and c ..."
Abstract - Cited by 778 (21 self) - Add to MetaCart
We present a novel statistical and variational approach to image segmentation based on a new algorithm named region competition. This algorithm is derived by minimizing a generalized Bayes/MDL criterion using the variational principle. The algorithm is guaranteed to converge to a local minimum

The Science of Monetary Policy: A New Keynesian Perspective

by Richard Clarida, Jordi Galí, Mark Gertler - Journal of Economic Literature , 1999
"... “Having looked at monetary policy from both sides now, I can testify that central banking in practice is as much art as science. Nonetheless, while practicing this dark art, I have always found the science quEite useful.” 2 Alan S. Blinder ..."
Abstract - Cited by 1809 (45 self) - Add to MetaCart
“Having looked at monetary policy from both sides now, I can testify that central banking in practice is as much art as science. Nonetheless, while practicing this dark art, I have always found the science quEite useful.” 2 Alan S. Blinder

Monetary Policy Shocks: What Have we Learned and to What End?

by Lawrence J. Christiano, Martin Eichenbaum , Charles L. Evans , 1998
"... This paper reviews recent research that grapples with the question: What happens after an exogenous shock to monetary policy? We argue that this question is interesting because it lies at the center of a particular approach to assessing the empirical plausibility of structural economic models that c ..."
Abstract - Cited by 967 (25 self) - Add to MetaCart
This paper reviews recent research that grapples with the question: What happens after an exogenous shock to monetary policy? We argue that this question is interesting because it lies at the center of a particular approach to assessing the empirical plausibility of structural economic models

Detection of Abrupt Changes: Theory and Application

by Michèle Basseville, Igor V. Nikiforov - HTTP://PEOPLE.IRISA.FR/MICHELE.BASSEVILLE/KNIGA/ , 1993
"... ..."
Abstract - Cited by 680 (11 self) - Add to MetaCart
Abstract not found
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