We propose a principle called orthogonal- ity for Auxiliary problems (APs) selection in Alternating structure optimization (ASO) algorithm. Both theoreti- cal analyses and experimental results indicate the follow- ing...
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We propose a principle called orthogonal- ity for Auxiliary problems (APs) selection in Alternating structure optimization (ASO) algorithm. Both theoreti- cal analyses and experimental results indicate the follow- ing conclusions. If the weight matrices of different types of APs are orthogonal or approximately orthogonal, their multi-combinations perform better than or equal to any components. Moreover, as long as the ratios of their com- ponents are appropriate, even if the total amounts of APs are fixed, the multi-combinations still perform better than or equal to any components. In short, the principle of orthogonality holds.
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