Verified Certificate

Supported by the following organizations

This is to certify that Lucia Lorena Paez Arroyo successfully completed and received a passing grade in DS102X: Machine Learning for Data Science and Analytics a course of study offered by ColumbiaX, an online learning initiative of Columbia University.

Noted by

Kathy McKeown

Kathy McKeown

Director of the Data Science Institute Henry and Gertrude Rothschild Professor of Computer Science Columbia University

Patricia Culligan

Patricia Culligan

Associate Director of the Data Science Institute Professor of Civil Engineering Columbia University

Garud Iyengar

Garud Iyengar

Professor of Industrial Engineering and Operations Research, Chair of the Department Columbia University

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About edX Verified Certificates

An edX Verified Certificate signifies that the learner has agreed to abide by the edX honor code and completed all of the required tasks of this course under its guidelines, as well as having their photo ID checked to verify their identity.