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Disclosed are a device including a system to convert rare elements into a dense matrix, systems, and methods. The system comprises : a step of receiving a request for an output matrix based on rare elements including rare elements associated with a first dense matrix and rare elements associated with a second dense matrix; a step of obtaining the rare elements associated with the first dense matrix fetched by a first group of rare element access units; a step of obtaining the rare elements associated with the second dense matrix fetched by a second group of the rare element access units; and a step of converting the rare elements associated with the first dense matrix and the rare elements associated with the second dense matrix to generate an output dense matrix including the rare elements associated with the first dense matrix and the rare elements associated with the second dense matrix.(102) Processing unit(106a, 106b.106k) Data shard(AA) Computing system(BB) Rare-dense(CC) Converting unitCOPYRIGHT KIPO 2017