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Halil Mete Soner

Has grant

Professor

Princeton University
Country flagUnited States

Research Interests

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Recent Grants

Grant: Close

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.

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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

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2020

Collaborators (1)

Min Dai

Hung Hing Ying Chair Professor of International Economics and Finance

City University of Hong Kong

HONG KONG
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