Dr. Ozan Öktem

Biography

Ozan Öktem is a professor at KTH Royal Institute of Technology, specializing in applied mathematics with a focus on developing theories and algorithms for solving inverse problems. His research aims to recover hidden model parameters from indirect observations, which involves running simulations backward. This procedure is often ill-posed, resulting in multiple solutions that are consistent with the data, as well as solutions that are sensitive to small variations in the data, indicating instability. A key component of his work is the ability to simulate noise-free data through forward operators and to handle the intrinsic instability of ill-posed problems. Addressing these challenges often requires controlling discretization errors, a primary concern of classical numerical analysis. Computational feasibility also remains a significant challenge, especially for large-scale inverse problems in time-critical applications like medical imaging. His research lies at the intersection of mathematical analysis, machine learning, statistics, and numerical analysis.

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