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Halil Mete Soner
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Recent Grants
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Stochastic Optimal Control with High Dimensional Data
Open Date: 2021-06-15
Close Date: 2024-05-31
Grant: Close
Mathematical research: Analysis, Mathematical Modeling and Algorithms, Probability, Mathematical Physics, Complex Algebraic Geometry
Open Date: 2019-01-01
Close Date: 2021-10-31
Grant: Close
Asymptotics and Model Uncertainty in Optimal Control
Open Date: 2017-04-01
Close Date: 2021-03-31
Grant: Close
Mathematical research: combinatorics, discrete optimization, number theory, algebraic geometry, geometric measure theory, numerics, probability
Open Date: 2015-07-01
Close Date: 2017-06-30
Grant: Close
Application of conditional set theory to stochastic optimization
Open Date: 2015-01-01
Close Date:
Articles (15)
Year:
2026
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2026
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2026
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2025
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2025
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2023
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2023
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2023
Many modern computational approaches to classical problems in quantitative finance are formulated as empirical loss minimization (ERM), allowing direct applications of classical results from statistical machine learning. These methods, designed to directly construct the optimal feedback representation of hedging or investment decisions, are analyzed in this framework demonstrating their effectiveness as well as their susceptibility to generalization error. Use of classical techniques shows that over‐training renders trained investment decisions to become anticipative, and proves overlearning for large hypothesis spaces. On the other hand, nonasymptotic estimates based on Rademacher complexity show the convergence for sufficiently large training sets. These results emphasize the importance of synthetic data generation and the appropriate calibration of complex models to market data. A numerically studied stylized example illustrates these possibilities, including the importance of problem dimension in the degree of overlearning, and the effectiveness of this approach.
Year:
2022
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2021
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2021
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2021
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2021
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2021
Year:
2020
Collaborators (1)
Min Dai
Hung Hing Ying Chair Professor of International Economics and Finance
City University of Hong Kong
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