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\min _{\boldsymbol{w}_{1}, \boldsymbol{w}_{2}, \ldots, \boldsymbol{w}_{m}} & \sum_{i=1}^{m}\boldsymbol{w_i}^{\mathrm{T}}\mathbf{X}_i^{\mathrm{T}}\mathbf{X}_i\boldsymbol{w_i} \\
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\min _{\boldsymbol{w}_{1}, \boldsymbol{w}_{2}, \ldots, \boldsymbol{w}_{m}} & \sum_{i=1}^{m}\boldsymbol{w_i}^{\mathrm{T}}\mathbf{X}_i^{\mathrm{T}}\mathbf{X}_i\boldsymbol{w_i} \\
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