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Self averaging and the space of interactions in neural networks

✍ Scribed by Michel Talagrand


Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
197 KB
Volume
14
Category
Article
ISSN
1042-9832

No coin nor oath required. For personal study only.

✦ Synopsis


We prove through a precise exponential inequality that the logarithm of the N Ε½ size of the intersection of M random half spaces with the unit sphere of ‫ޒ‬ resp., the Γ„ 4 N . discrete cube y1, 1 is, as N Βͺ Ο±, a self averaging quantity. This provides justification for w Ε½ .

x one of the first steps of a famous computation by E.


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