Search Results for author: Michael R. Metel

Found 3 papers, 0 papers with code

Mathematical Challenges in Deep Learning

no code implementations24 Mar 2023 Vahid Partovi Nia, Guojun Zhang, Ivan Kobyzev, Michael R. Metel, Xinlin Li, Ke Sun, Sobhan Hemati, Masoud Asgharian, Linglong Kong, Wulong Liu, Boxing Chen

Deep models are dominating the artificial intelligence (AI) industry since the ImageNet challenge in 2012.

Variants of SGD for Lipschitz Continuous Loss Functions in Low-Precision Environments

no code implementations9 Nov 2022 Michael R. Metel

Motivated by neural network training in low-precision arithmetic environments, this work studies the convergence of variants of SGD using adaptive step sizes with computational error.

Risk management under Omega measure

no code implementations20 Oct 2015 Michael R. Metel, Traian A. Pirvu, Julian Wong

We prove that the Omega measure, which considers all moments when assessing portfolio performance, is equivalent to the widely used Sharpe ratio under jointly elliptic distributions of returns.

Portfolio Management Optimization and Control

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