The UCF Mathematics Colloquium, held every Monday from 3:30pm to 4:30pm in MSB 318, offers a diverse platform for research scholars, faculty, students, and industry experts to share and exchange ideas, fostering discussion and networking across various areas of mathematics.
Dr. Hongkai Zhao, Ruth F. DeVarney Professor from Duke University, will speak at this week's colloquium on "Mathematical and Numerical Understanding of Neural Networks: From Representation to Learning Dynamics."
Abstract: In this talk I will present both mathematical and numerical analysis as well as experiments to study a few basic computational issues in using neural network to approximate functions: (1) the stability and accuracy, (2) the learning dynamics and computation cost, and (3) structured and balanced approximation. These issues are investigated for both approximation and optimization in asymptotic and non-asymptotic regimes.
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