Supported by the following organizations
This is to certify that vijay kumar successfully completed and received a passing grade in PH125.8x: Data Science: Building Machine Learning Models a course of study offered by HarvardX, an online learning initiative of Harvard University.
Noted by
Rafael Irizarry
Professor of Biostatistics Harvard T.H. Chan School of Public Health
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- Verified Certificate Issued September 22, 2025
- Valid Certificate ID de0005a7d4e54506ad516038549f9414