A Riemann–Stein kernel method

Method of Reproducing Kernel

A Kernel Method for Market Clearing

The problem of market clearing in an economy is that of finding prices such that supply meets demand. In this work, we propose a kernel method to compute nonlinear clearing prices for instances where linear prices do not suffice. We first present a procedure that, given a sample of values and costs for a set of bundles, implicitly computes nonlinear clearing prices by solving an appropriately f...

A kernel method for multi-labelled classification

This article presents a Support Vector Machine (SVM) like learning system to handle multi-label problems. Such problems are usually decomposed into many two-class problems but the expressive power of such a system can be weak [5, 7]. We explore a new direct approach. It is based on a large margin ranking system that shares a lot of common properties with SVMs. We tested it on a Yeast gene funct...

A kernel method for canonical correlation analysis

1. Canonical correlation analysis (CCA) is a technique to extract common features from a pair of multivariate data. In complex situations, however, it does not extract useful features because of its linearity. On the other hand, kernel method used in support vector machine (Vapnik, 1998) is an efficient approach to improve such a linear method. In this study, we investigate the effectiveness of...

A Method for Computing the Kernel