✦ LIBER ✦
Hyperplane Arrangements Separating Arbitrary Vertex Classes in n-Cubes
✍ Scribed by Walter Wenzel; Nihat Ay; Frank Pasemann
- Book ID
- 102559580
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 161 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0196-8858
No coin nor oath required. For personal study only.
✦ Synopsis
Strictly layered feedforward networks with binary neurons are viewed as maps from the vertex set of an n-cube to the vertex set of an l-cube. With only one output neuron, they can in principle realize any Boolean function on n inputs. We address the problem of determining the necessary and sufficient numbers of hidden units for this task by using separability properties of affine oriented hyperplane arrangements.