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Are there frequent itemsets mining algorithms based on linear algebra?

Matrix equations of some sort or matrix decompositions often lie in foundation of many algorithms not only in data analysis but in many other fields. The wealth of already written libraries makes it tempting to formulate frequent itemsets mining problems in terms of said matrix equations and/or decompositions, yet after some search I haven't found any algorithms which would rely on linear algebra. Could some please show me if such algorithms exist or explain their absence?