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Classification with minimax fast rates for classes of Bayes rules with sparse representation
Classification Sparsity Decision dyadic trees Minimax rates Aggregation
2009/9/16
We consider the classification problem on the cube $[0,1]^d$ when the Bayes rule is known to belong to some new functions classes. These classes are made of prediction rules satisfying some conditions...
P-values for classification
nearest neighbors nonparametric optimality permutation test prediction region ROC curve typicality index validity
2009/9/16
Let $(X,Y)$ be a random variable consisting of an observed feature vector $X in XX$ and an unobserved class label $Y in {1,2,ldots,L}$ with unknown joint distribution. In addition, let $DD$ be a train...
Risk Bounds for Classification Trees under a Margin Condition
Classification CART Pruning Margin Risk Bounds
2010/3/18
Risk bounds for Classification and Regression Trees (CART, Breiman et. al. 1984)
classifiers are obtained under a margin condition in the binary supervised classification
framework. These risk bound...
State Classification for a Class of Interacting Superprocesses with Location Dependent Branching
spatial structure interaction superprocess location dependent branching
2009/4/29
The spatial structure of a class of superprocesses which arise as limits in distribution of a class of interacting particle systems with location dependent branching is investigated. The criterion of ...
Sparse classification boundaries
Bayes risk classification boundary high-dimensional data optimalclassifier sparse vectors
2010/3/19
Given a training sample of size m from a d-dimensional population, we
wish to allocate a new observation Z ∈ IRd to this population or to the noise.
We suppose that the difference between the distri...
COMBINING METHODS IN SUPERVISED CLASSIFICATION:A COMPARATIVE STUDY ON DISCRETE AND CONTINUOUS PROBLEMS
Gaussian classification eigenvalue decomposition multinomial classification conditional independence model convex combining hierarchical combining
2009/2/25
Often in discriminant analysis several models are estimated but based on some validation
criterion, a single model is selected. In the purpose of taking profit from several
potential models, classif...
High-dimensional classification using features annealed independence rules
Classification feature extraction high dimensionality independencerule misclassification rates
2010/4/26
Classification using high-dimensional features arises frequently
in many contemporary statistical studies such as tumor classification
using microarray or other high-throughput data. The impact of
...
Metric Embedding for Nearest Neighbor Classification
Metric Embedding Nearest Neighbor Classification
2010/4/29
The distance metric plays an important role in nearest neighbor (NN) classification. Usually
the Euclidean distance metric is assumed or a Mahalanobis distance metric is optimized
to improve the NN ...
Support vector machine for functional data classification
Functional Data Analysis Support Vector Machine Classification Consistency
2010/4/29
In many applications, input data are sampled functions taking their values in infinite
dimensional spaces rather than standard vectors. This fact has complex consequences
on data analysis algorithms...
Suboptimality of Penalized Empirical Risk Minimization in Classification
Suboptimality Penalized Empirical Risk Minimization Classification
2010/4/27
Let F be a set of M classification procedures with values in
[−1, 1]. Given a loss function, we want to construct a procedure which
mimics at the best possible rate the best procedure in F. Th...
A Method for Avoiding Bias from Feature Selection with Application to Naive Bayes Classification Models
Method Feature Selection Application Naive Bayes Classification Models
2010/4/26
For many classification and regression problems, a large number of features are available
for possible use — this is typical of DNA microarray data on gene expression, for example. Often,for computat...