13,431 research outputs found
On multi-view learning with additive models
In many scientific settings data can be naturally partitioned into variable
groupings called views. Common examples include environmental (1st view) and
genetic information (2nd view) in ecological applications, chemical (1st view)
and biological (2nd view) data in drug discovery. Multi-view data also occur in
text analysis and proteomics applications where one view consists of a graph
with observations as the vertices and a weighted measure of pairwise similarity
between observations as the edges. Further, in several of these applications
the observations can be partitioned into two sets, one where the response is
observed (labeled) and the other where the response is not (unlabeled). The
problem for simultaneously addressing viewed data and incorporating unlabeled
observations in training is referred to as multi-view transductive learning. In
this work we introduce and study a comprehensive generalized fixed point
additive modeling framework for multi-view transductive learning, where any
view is represented by a linear smoother. The problem of view selection is
discussed using a generalized Akaike Information Criterion, which provides an
approach for testing the contribution of each view. An efficient implementation
is provided for fitting these models with both backfitting and local-scoring
type algorithms adjusted to semi-supervised graph-based learning. The proposed
technique is assessed on both synthetic and real data sets and is shown to be
competitive to state-of-the-art co-training and graph-based techniques.Comment: Published in at http://dx.doi.org/10.1214/08-AOAS202 the Annals of
Applied Statistics (http://www.imstat.org/aoas/) by the Institute of
Mathematical Statistics (http://www.imstat.org
Dissimilarity-based Ensembles for Multiple Instance Learning
In multiple instance learning, objects are sets (bags) of feature vectors
(instances) rather than individual feature vectors. In this paper we address
the problem of how these bags can best be represented. Two standard approaches
are to use (dis)similarities between bags and prototype bags, or between bags
and prototype instances. The first approach results in a relatively
low-dimensional representation determined by the number of training bags, while
the second approach results in a relatively high-dimensional representation,
determined by the total number of instances in the training set. In this paper
a third, intermediate approach is proposed, which links the two approaches and
combines their strengths. Our classifier is inspired by a random subspace
ensemble, and considers subspaces of the dissimilarity space, defined by
subsets of instances, as prototypes. We provide guidelines for using such an
ensemble, and show state-of-the-art performances on a range of multiple
instance learning problems.Comment: Submitted to IEEE Transactions on Neural Networks and Learning
Systems, Special Issue on Learning in Non-(geo)metric Space
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