Recommendation system

A computing device comprising:

• a processor;
• and
• a non-transitory computer-readable medium operably coupled to the processor, the computer-readable medium having computer-readable instructions stored thereon that, when executed by the processor, cause the computing device to
• (A) update a first parameter matrix using a first direction matrix and a first step-size parameter value that is greater than one, wherein the first parameter matrix includes a row dimension equal to a number of users of a plurality of users included in a ratings matrix, wherein the ratings matrix includes a missing matrix value, wherein the first parameter matrix is updated using X:P=X:P+η1D, where X:P is the first parameter matrix, η1 is the first step-size parameter value, and D is the first direction matrix;
• (B) update a second parameter matrix using a second direction matrix and a second step-size parameter value that is greater than one, wherein the second parameter matrix includes a column dimension equal to a number of items of a plurality of items included in the ratings matrix;
• (C) update an objective function value based on the updated first parameter matrix and the updated second parameter matrix;
• (D) repeat (A) through (C) until the updated first parameter matrix and the updated second parameter matrix satisfy a convergence test;
• predict an interaction rating between a user of the plurality of users and an item of the plurality of items using the updated first parameter matrix and the updated second parameter matrix;
• and
• output the updated first parameter matrix and the updated second parameter matrix,
• wherein each item of the plurality of items is selected from the group consisting of a content item, a survey question, and a person, or wherein each user of the plurality of users is selected from the group consisting of a person and an entity, or wherein the interaction rating between the user of the plurality of users and the item of the plurality of items is selected from the group consisting of an item recommendation, a content recommendation, a contact person recommendation, and a survey answer recommendation.

A method of determining a recommendation, the method comprising:

• (A) updating, by a computing device, a first parameter matrix using a first direction matrix and a first step-size parameter value that is greater than one, wherein the first parameter matrix includes a row dimension equal to a number of users of a plurality of users included in a ratings matrix, wherein the ratings matrix includes a missing matrix value, wherein the first parameter matrix is updated using X:P=X:P+η1D, where X:P is the first parameter matrix, η1 is the first step-size parameter value, and D is the first direction matrix;
• (B) updating, by the computing device, a second parameter matrix using a second direction matrix and a second step-size parameter value that is greater than one, wherein the second parameter matrix includes a column dimension equal to a number of items of a plurality of items included in the ratings matrix;
• (C) updating, by the computing device, an objective function value based on the updated first parameter matrix and the updated second parameter matrix;
• (D) repeating, by the computing device, (A) through (C) until the updated first parameter matrix and the updated second parameter matrix satisfy a convergence test;
• predicting, by the computing device, an interaction rating between a user of the plurality of users and an item of the plurality of items using the updated first parameter matrix and the updated second parameter matrix;
• and
• outputting, by the computing device, the updated first parameter matrix and the updated second parameter matrix,
• wherein each item of the plurality of items is selected from the group consisting of a content item, a survey question, and a person, or wherein each user of the plurality of users is selected from the group consisting of a person and an entity, or wherein the interaction rating between the user of the plurality of users and the item of the plurality of items is selected from the group consisting of an item recommendation, a content recommendation, a contact person recommendation, and a survey answer recommendation.