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                  title{BB BB BB HH GG YH}




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                   BLABLA ${H'}$ training VVV ${ (x_{k},y_{k})
                      }_{k=1}^{H'}$ , each BHHU JJDD JHDJD JSSKes where
                             $x_{k}in  mathbb{R}^{O}$ as an ouHYYY $ y_{k}
                           in {1, -1}$, GTTows:

                        begin{equation}
                            centering
            label{equation2}
            left{
            begin{array}{ll}
            begin{bmatrix}
            0 & Y^{T} \[0.3em]
            Y & Omega+ I/gamma
            end{bmatrix}
            begin{bmatrix}
            b  \[0.3em]
           alpha
            end{bmatrix}
            =begin{bmatrix}
            0  \[0.3em]
            vec{e}
            end{bmatrix}
            end {array}
            right.
            end{equation}









                     subsection{FF}
                    Suppose $O$-di as $ X in  mathbb{R} ^{O} $,
                     CRRR $D =(O+N)$ the HHHrns $ { (x_{k},y_{k})
                        }_{k=1}^{H}$, each patternYYYYYY $x_{k}in
                         mathbb{R}^{D}$ as an oJJJJJJJ $ y_{k} in {1,
                            -1}$,  cite{suykens1999least,knuth1998art,
                            guan2002incremental, zhou2002hybrid,
                          chao2008incremental, liu2008incremental,
                             agrawal2008incremental, wang2012evolving,
                                 liu2015neural, friedman2001elements,
                                  utgo1994improved, shah2004sequential,
                                        hariharan:2013} :





            %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
                             (HERE IS A PRBLM)

                        begin{equation}
            centering
            label{equation1}
            left{
          begin{bmatrix}
          0 & Y^{T} \[0.3em]
          Y & Omega+ I/gamma
          end{bmatrix}
          begin{bmatrix}
          b  \[0.3em]
          alpha
          end{bmatrix}
          =begin{bmatrix}
          0  \[0.3em]
          vec{e}
          end{bmatrix}
           end {array}
            right.
            end{equation}

                With  $alpha=[alpha_{1},..,alpha_{L}]^{T}$,  $Y=
               [y_{1},y_{2},y_{3}..,y_{H}]^{T}$, $ vec{e}=[1,1,1,..,1]^{T}$
                  , $Omega_{ij}=y_{i}y_{j}varphi_{2}
                    (x_{j})=y_{i}y_{j}k_{2}(x_{i},x_{j})$ where $j <= H$ and
                       $i>=1$
                  NOT well:

            begin{equation}
            centering
            label{equation1}
            y(x)=sign (W_{O}^{T}varphi_{1}(x_{O})+W_{D}^{T}varphi_{2}
            (x_{D})+b)\
                = sign(sum_{i=1}^{H'}alpha_{i}y_{i}K_{1}
                    (x_{iO},x_{O})+sum_{k=1}^{H}alpha''_{k}y_{k}K_{2}
                     (x_{kD},x_{D})+b)
            end{equation}














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