%Aigaion2 BibTeX export from Idiap Publications
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@ARTICLE{Mayo98a1,
         author = {Mayoraz, Eddy},
       projects = {Idiap},
          title = {On the Complexity of Recognizing Regions Computable by Two-Layered Perceptrons},
        journal = {Annals Mathematics and Artificial Intelligence},
           year = {1999},
       crossref = {mayo98a},
       abstract = {This work is concerned with the computational complexity of the recognition of $ÞPtwo$, the class of regions of the Euclidian space that can be classified exactly by a two-layered perceptron. Some subclasses of $ÞPtwo$ of particular interest are also studied, such as the class of iterated differences of polyhedra, or the class of regions $V$ that can be classified by a two-layered perceptron with as only hidden units the ones associated to $(d-1)$-dimensional facets of $V$. In this paper, we show that the recognition problem for $ÞPtwo$ as well as most other subclasses considered here is \NPH\ in the most general case. We then identify special cases that admit polynomial time algorithms.},
            pdf = {https://publications.idiap.ch/attachments/reports/1998/rr98-03.pdf},
     postscript = {ftp://ftp.idiap.ch/pub/reports/1998/rr98-03.ps.gz},
ipdinar={1998},
ipdmembership={learning},
}



crossreferenced publications: 
@TECHREPORT{Mayo98a,
         author = {Mayoraz, Eddy},
       projects = {Idiap},
          title = {On the Complexity of Recognizing Regions Computable by Two-Layered Perceptrons},
           type = {Idiap-RR},
         number = {Idiap-RR-03-1998},
           year = {1998},
    institution = {IDIAP},
       abstract = {This work is concerned with the computational complexity of the recognition of $ÞPtwo$, the class of regions of the Euclidian space that can be classified exactly by a two-layered perceptron. Some subclasses of $ÞPtwo$ of particular interest are also studied, such as the class of iterated differences of polyhedra, or the class of regions $V$ that can be classified by a two-layered perceptron with as only hidden units the ones associated to $(d-1)$-dimensional facets of $V$. In this paper, we show that the recognition problem for $ÞPtwo$ as well as most other subclasses considered here is \NPH\ in the most general case. We then identify special cases that admit polynomial time algorithms.},
            pdf = {https://publications.idiap.ch/attachments/reports/1998/rr98-03.pdf},
     postscript = {ftp://ftp.idiap.ch/pub/reports/1998/rr98-03.ps.gz},
ipdmembership={learning},
}