Modern biomedical data mining requires feature selection methods that can (1)
be applied to large scale feature spaces (e.g. omics' data), (2) function in noisy problems, (3) detect complex patterns of association (e.g. gene-gene interactions), (4) be flexibly adapted to various problem domains and data types (e.g. genetic variants, gene expression, and clinical data) and (5) are computationally tractable. To that end, this work examines a set of filter-style feature selection algorithms inspired by the Relief’ algorithm,
i.e. Relief-Based algorithms (RBAs). We implement and expand these RBAs in an
open source framework called ReBATE (Relief-Based Algorithm Training
Environment). We apply a comprehensive genetic simulation study comparing
existing RBAs, a proposed RBA called MultiSURF, and other established feature
selection methods, over a variety of problems. The results of this study (1)
support the assertion that RBAs are particularly flexible, efficient, and
powerful feature selection methods that differentiate relevant features having
univariate, multivariate, epistatic, or heterogeneous associations, (2) confirm
the efficacy of expansions for classification vs. regression, discrete vs.
continuous features, missing data, multiple classes, or class imbalance, (3)
identify previously unknown limitations of specific RBAs, and (4) suggest that
while MultiSURF* performs best for explicitly identifying pure 2-way
interactions, MultiSURF yields the most reliable feature selection performance
across a wide range of problem types.

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