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This paper presents a new multiplicative algorithm for nonnegative matrix factorization with β-divergence. The derived update rules have a similar form to those of the conventional multiplicative algorithm, only differing through the presence of an exponent term depending on β. The convergence is theoretically proven for any real-valued β based on the auxiliary function method. The convergence speed is experimentally investigated in comparison with previous works.

THE MEMORY ORGANIZATION, memory cell, defect tolerant technology and operation of a full wafer mask programmable ROM will be described. The full wafer ROM was designed for a Chinese ideograph character generator.

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