New Course Alert: Lie Groups with Applications.
The applications of Lie Groups to Quantum Computing and Machine Learning.
Dear QF Community,
The Neural Information Processing Systems Conference (NeurIPS) is the premier annual gathering for cutting-edge research in machine learning, artificial intelligence, and computational neuroscience. Each year, it brings together the world’s brightest minds to showcase transformative ideas and breakthroughs.
Among the most mathematically interesting highlights is the paper "Unitary Convolutions for Learning on Graphs and Groups" (Poster #93842) which presents a novel solution, leveraging unitary group convolutions.
Lie Groups with Applications (Early Bird Sign up)
The highlighted paper above requires a solid understanding of the mathematics of Lie Groups and Lie Algebras—topics that, despite their transformative potential, remain mathematically inaccessible to many AI researchers. To bridge this gap, we’re excited to announce our upcoming career-focused specialisation bootcamp course, designed to demystify these concepts with a focus on their applications in both AI and Quantum Computing.
The course will be available on our e-learning platform starting January 22, 2025. As a special offer, Early Bird registration at 35% off is open until December 27th—right after Boxing Day!
Early Bird link: https://quantumformalism.academy/lie-groups-with-applications.
Early bird sign-ups will also gain exclusive access to special preparatory sessions designed to review foundational topics, such as group theory, linear algebra and smooth manifolds.
Alternatively, you can gain access to the course by subscribing to our monthly 'Specialisation Plan'. This will also give you the access to the special preparatory sessions.
For this course, you will be guided by two exceptional instructors: Dr. Brian Hepler and Dr. Max Arnott. The instructors will provide a modern introduction to Lie theory through the lens of its applications in quantum computing and machine learning. Beginning with the foundational theory of matrix Lie groups and their associated Lie algebras, we’ll develop the key concepts of representation theory and the exponential map. We then demonstrate how these mathematical structures naturally emerge in quantum computing and in modern machine learning.
Below is a brief introductory video featuring Brian, where he shares his mathematical background and discusses the sections of the course he will be leading on:
End of the Course Target Outcomes
By the end of the course, we expect participants to be able to mathematically follow recent papers in quantum computing and machine learning, including:
Geometric Quantum Machine Learning with Horizontal Quantum Gates: arXiv:2406.04418.
Symmetric derivatives of parametrized quantum circuits: arXiv:2312.06752.
Unitary Convolutions for Learning on Graphs and Groups: arXiv:2410.05499.
All participants who successfully complete the course will receive specialised career support services aimed at helping them secure positions at leading AI/ML and Quantum Computing companies. We’ll guide them in leveraging mathematics as a powerful tool to open up new, transformative career opportunities!
Prerequisites
This is not a beginners mathematics level course, participants are expected to have basic familiarity with the following foundational topics:
• Linear Algebra
• Group Theory
• Topology and basics of Smooth Manifolds
However, as already mentioned, early bird sign-ups will gain exclusive access to special preparatory sessions designed to review the foundational topics above.
A Comment on Scholarships
At this time, we do not have the necessary infrastructure in place to offer scholarships for this course. As explained during the Q&A session about QF Academy, scholarships will be granted under strict monitoring conditions to ensure that recipients are genuinely committed to completing the program.
It’s worth noting that in Module 2 of our free “Abstract Mathematics 101 Bootcamp” I will also be reviewing Lie groups. However, the focus will remain strictly on the pure mathematics, rather than any applications. Also, you’ll probably have to wait until Summer 2025!
Have a great weekend ahead!
Best wishes,
Bambordé
Quantum Formalism (QF) Academy Team
