%Aigaion2 BibTeX export from Idiap Publications %Thursday 21 November 2024 11:43:39 AM @TECHREPORT{Mayo96a, author = {Mayoraz, Eddy}, projects = {Idiap}, title = {On the Complexity of the Class of Regions Computable by a Two-Layered Perceptron}, type = {Idiap-RR}, number = {Idiap-RR-03-1996}, year = {1996}, institution = {IDIAP}, abstract = {This work is concerned with the computational complexity of the recognition of $\mbox{LP}_2$, the class of regions of the Euclidian space that can be classified exactly by a two-layered perceptron. Several subclasses of $\mbox{LP}_2$ of particular interest are also considered. We show that the recognition problems of $\mbox{LP}_2$ and of other classes considered here are intractable, even in some favorable circumstances. We then identify special cases having polynomial time algorithms.}, pdf = {https://publications.idiap.ch/attachments/reports/1996/rr96-03.pdf}, postscript = {ftp://ftp.idiap.ch/pub/reports/1996/rr96-03.ps.gz}, ipdmembership={learning}, }