\input zb-basic
\input zb-ioport
\iteman{io-port 06078573}
\itemau{Yumei, Ma; Dong, Nan; Lijun, Liu}
\itemti{An approximation problems on $L_2(R)$ by wavelet neural network.}
\itemso{Int. Math. Forum 7, No. 9-12, 603-607 (2012).}
\itemab
Summary: Suppose that $\sigma $ is a sigmoidal function, Li Xin showed that a linear combination of dilates and translates of generates a near tight wavelet frame for $L_2(R)$. This paper extend Li Xin' s result and firstly generalize the definite field $I_\pi $to $R^n$, secondly show the approximate problem on a compact set of $L_2(R)$.
\itemrv{~}
\itemcc{}
\itemut{neural network; frame of wavelet}
\itemli{http://www.m-hikari.com/imf/imf-2012/9-12-2012/index.html}
\end