Dr Mher Safaryan
Lecturer in Mathematical AIResearch Overview
My research lies at the interface of optimization, statistical learning, and machine learning, with a focus on the theory and design of efficient algorithms for large-scale problems. I am particularly interested in understanding how computational, memory, and communication constraints shape optimization and statistical performance. My work covers stochastic and non-convex optimization, distributed and federated learning, communication compression, adaptive and second-order methods, and model compression through sparsity, quantization, and low-rank structure. A recurring theme is to develop algorithms with rigorous convergence and complexity guarantees while accounting for constraints that arise in modern large-scale learning systems. More broadly, I aim to connect mathematical foundations in optimization with practical questions of scalability, robustness, and resource efficiency.
PhD Supervision Interests
Design and analysis of optimization algorithms for large-scale learning, with rigorous convergence and complexity guarantees under practical constraints on memory, computation, and communication. Particular emphasis is placed on connecting the mathematical foundations of optimization with practical questions of scalability, robustness, and resource efficiency. This includes understanding the optimization landscape induced by modern neural network architectures, such as transformers, and developing principled methods that exploit the structural properties of large-scale learning problems.
- MARS: Mathematics for AI in Real-world Systems