Universal approximation theorem: Difference between revisions

Revision as of 14:34, 10 June 2010

Revision as of 14:37, 10 June 2010

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: <math>

F( x_1 , \dots, x_{m_0}x ) =

\sum_{i=1}^{m_1} \alpha_i \varphi \left( w_i^T x + b_i\right)

</math>

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: <math>

| F( x_1 , \dots, x_{m_0}x ) - f ( x_1 , \dots, x_{m_0}x ) | < \varepsilon

</math>

for all ''x''₁, ''x''₂, ...,∈ ''xI''_''m''₀ that lie in the input space.

</blockquote>