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Stanford Convex Optimization

Master convex optimization theory and applications in engineering, machine learning, and scientific computing.

Master convex optimization theory and applications in engineering, machine learning, and scientific computing.

This advanced course provides comprehensive coverage of convex optimization theory and applications. Students learn to recognize and solve convex optimization problems across various fields including signal processing, machine learning, and engineering design. The curriculum covers convex sets, functions, duality theory, interior-point methods, and practical applications. Through a combination of theoretical foundations and hands-on implementation using MATLAB and CVX, students develop expertise in applying optimization techniques to real-world problems.

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Stanford Convex Optimization

This course includes

8 Weeks

Of Self-paced video lessons

Advanced Level

Completion Certificate

awarded on course completion

Free course

What you'll learn

  • Recognize and formulate convex optimization problems

  • Master fundamental theory of convex analysis and optimization

  • Implement solutions using modern computational tools

  • Apply optimization techniques to real-world engineering problems

  • Understand duality theory and interior-point methods

  • Develop practical skills for research applications

Skills you'll gain

Convex Optimization
Mathematical Programming
Scientific Computing
Machine Learning
Signal Processing
Interior Point Methods
Numerical Computing
Linear Programming
Quadratic Programming
Algorithm Design

This course includes:

PreRecorded video

Programming assignments, problem sets

Access on Mobile, Tablet, Desktop

Limited Access access

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Module Description

This comprehensive course focuses on recognizing and solving convex optimization problems in various applications. The curriculum covers fundamental concepts including convex sets, functions, and optimization problems, along with advanced topics such as duality theory and interior-point methods. Students learn practical applications in signal processing, machine learning, control engineering, circuit design, and finance. The course emphasizes both theoretical understanding and computational implementation using MATLAB and CVX.

Instructors

Stephen Boyd
Stephen Boyd

1 Course

A Pioneering Authority in Optimization Theory and Engineering Education

Stephen P. Boyd serves as the Samsung Professor of Engineering at Stanford University, where he has revolutionized the field of convex optimization since joining the faculty in 1985. After earning his AB in Mathematics summa cum laude from Harvard in 1980 and Ph.D. in Electrical Engineering from UC Berkeley in 1985, he has built an extraordinary career combining research excellence with exceptional teaching. His contributions include four influential books and widely-used open-source tools like CVX and CVXPY, with his "Convex Optimization" text garnering over 21,000 citations. His graduate optimization course attracts 300 students from 25 departments, reflecting his ability to make complex concepts accessible across disciplines. His work extends to practical applications, with his group's CVXGEN software being used in SpaceX's Falcon rockets for precision landing. His excellence in teaching has earned him numerous honors, including the Walter J. Gores Award, Stanford's highest teaching recognition, and the IEEE James H. Mulligan Jr. Education Medal. As a member of the National Academy of Engineering and holder of honorary doctorates from multiple institutions, he continues to advance the field through his research in optimization applications for control, signal processing, machine learning, and finance while maintaining his commitment to innovative education.

A Multidisciplinary Expert in Imaging Systems and Computer Vision

Henryk Blasinski served as a Teaching Assistant in Stanford University's Electrical Engineering Department while pursuing his Ph.D., bringing expertise in image processing, human visual systems, and machine learning. After earning his M.Sc. degrees from both the Institut Superieur d'Electronique de Paris and Technical University of Lodz, he contributed to Stanford's academic community through teaching roles in courses including Applied Vision and Image Systems, Signals and Systems, and Linear Dynamical Systems. His research focused on optimizing image acquisition systems, particularly for autonomous driving applications, working closely with the Stanford Center for Image Systems Engineering. Beyond his academic work, he demonstrated multilingual proficiency in Polish, English, French, and Japanese, while pursuing interests in sailing, skiing, and mountaineering. His contributions to the field include significant publications on color barcodes, barrel distortion removal, and low-power FPGA design, combining theoretical expertise with practical applications in imaging technology.

Stanford Convex Optimization

This course includes

8 Weeks

Of Self-paced video lessons

Advanced Level

Completion Certificate

awarded on course completion

Free course

Testimonials

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Frequently asked questions

Below are some of the most commonly asked questions about this course. We aim to provide clear and concise answers to help you better understand the course content, structure, and any other relevant information. If you have any additional questions or if your question is not listed here, please don't hesitate to reach out to our support team for further assistance.