Abstract
Consider the problem of the best approximate separation of two finite sets in the linear case. This problem is reduced to the problem of nonsmooth optimization, analyzing which we use all power of the linear programming theory. Ideologically we follow Bennett and Mangassarian (Optim. Meth. Software 1, 23–34 1992).
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Bennett, K.P., Mangassarian, O.L.: Robust linear programming discrimination of two linearly inseparable sets. Optim. Meth. Software 1, 23–34 (1992)
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© 2014 Springer Science+Business Media New York
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Malozemov, V.N., Cherneutsanu, E.K. (2014). The Best Linear Separation of Two Sets. In: Demyanov, V., Pardalos, P., Batsyn, M. (eds) Constructive Nonsmooth Analysis and Related Topics. Springer Optimization and Its Applications, vol 87. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-8615-2_11
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DOI: https://doi.org/10.1007/978-1-4614-8615-2_11
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