Philipp Schmocker
School of Physical and Mathematical SciencesNanyang Technological University (NTU), Singapore
I am a PhD student in Mathematics under the supervision of Prof. Dr. Ariel Neufeld at Nanyang Technological University (NTU), Singapore.
Office: SPMS-MAS-04-14, 21 Nanyang Link, Singapore 637371
Mail: philippt001 |at| e.ntu.edu.sg
Research Interest
Mathematical finance, pricing and hedging of financial derivatives
Machine learning, universal approximation, and approximation theory
Stochastic processes and rough paths
Links: [Profile on ResearchGate] [Profile on GoogleScholar]
Last update of this homepage: 9 May 2024
Education
2021 - today: Ph.D. in Mathematics, Nanyang Technological University (NTU), Singapore
2019 - 2021: Ph.D. in Economics and Finance, University of St.Gallen (HSG), Switzerland
2015 - 2018: Master of Science in Mathematics, Swiss Federal Institute of Technology (ETH) Zurich, Switzerland
2012 - 2016: Bachelor of Science in Mathematics, Swiss Federal Institute of Technology (ETH) Zurich, Switzerland
Publications and Preprints
A. Neufeld, P. Schmocker, S. Wu:
Full error analysis of the random deep splitting method for nonlinear parabolic PDEs and PIDEs with infinite activity
Preprint (submitted), 2024 [PDF, arXiv, Code]
A. Neufeld, P. Schmocker:
Universal approximation property of random neural networks
Preprint (submitted), 2023 [PDF, arXiv, Code]
C. Cuchiero, P. Schmocker, J. Teichmann:
Global universal approximation of functional input maps on weighted spaces
Preprint (submitted), 2023 [PDF, arXiv, Code]
A. Neufeld, P. Schmocker:
Chaotic hedging with iterated integrals and neural Networks
Preprint (submitted), 2022 [PDF, arXiv, Code]
A. Neufeld, P. Schmocker:
Learning stochastic partial differential equations via neural networks in the chaos expansion
Working Paper
C. Cuchiero, P. Mijatovic, P. Schmocker, J. Teichmann:
Deep stochastic portfolio theory
Working Paper
Theses
P. Schmocker:
Universal approximation on path spaces and applications to finance
PhD Thesis, University of St.Gallen [PDF]
P. Schmocker:
Frictions in stochastic portfolio theory
Master's Thesis, ETH Zurich
Talks
Universal approximation property of random neural networks, Aug 2024
The First INFORMS Conference on Financial Engineering and FinTech, Hongkong
Universal approximation property of random neural networks, Jul 2024
12th Bachelier World Congress of the Bachelier Finance Society (BFS), Rio de Janeiro, Brazil
Universal approximation property of random neural networks, Jan 2024
16ème Colloque Bachelier en Mathématiques Financières et Calcul Stochastique , Métabief, France
Universal approximation property of random neural networks, Jul 2023
Stochastics and Financial Mathematics Seminar, University of Konstanz, Germany
Universal approximation property of random neural networks, Jun 2023
Poster, Informs Applied Probability Society Conference 2023, Nancy, France
Global universal approximation of functional input maps on weighted spaces, Jun 2023
SfS-PhD Presentation at ETH Zurich, Zurich, Switzerland
Chaotic hedging with iterated integrals and neural networks, Jun 2023
SIAM Conference on Financial Mathematics and Engineering (FM23), Philadelphia, USA
Universal approximation property of random neural networks, Jun 2023
SIAM Conference on Optimization (OP23), Seattle, USA
Universal approximation property of random neural networks, Feb 2023
SIAM Conference on Computational Science and Engineering (CSE23), Amsterdam, Netherlands
Chaotic hedging with iterated integrals and neural networks, Nov 2022
Mathematical Finance Seminar, Bar-Ilan University, online
Chaotic hedging with iterated integrals and neural networks, Sep 2022
SIAM Conference on Mathematics of Data Science (MDS22), San Diego, USA
Chaotic hedging with iterated integrals and neural networks, Jun 2022
11th World Congress 2020 of the Bachelier Finance Society (BFS), online
Chaotic hedging with iterated integrals and neural networks, Dec 2020
Seminar of Stochastic Finance Group at ETH Zurich, online
Universal approximation on weighted space, Nov 2020
PhD Seminar University of St.Gallen, online
Universal approximation on path space, Aug 2020
Bernoulli-IMS One World Symposium, online
Deep stochastic portfolio theory, May 2020
Seminar of Stochastic Finance Group at ETH Zurich, online
Deep stochastic portfolio theory, Feb 2020
Computational Social Seminar, Constance, Germany
Deep stochastic portfolio theory, Nov 2019
Vienna-Zurich Symposium for Young Researchers in Financial Mathematics and Related Fields, Vienna, Austria
Deep stochastic portfolio theory, Nov 2019
PhD Seminar University of St.Gallen, St. Gallen, Switzerland
Deep stochastic portfolio theory, Sep 2019
Vienna Congress on Mathematical Finance, Vienna, Austria
Academic Services
Referee Reports for the Journals:
Decisions in Economics and Finance
Finance and Stochastics
Mathematical Finance
Neural Networks
Neurocomputing
Member of the following organizations:
Bachelier Finance Society
INFORMS
Selection to the following volunteering organizations in Nanyang Technological University (NTU):
15th Committee of the SPMS Graduate Students' Club (SPMS GSC)
12th Academic Subcommittee of the Graduate Students' Association (GSA)
Teaching
Summary of MH3100 Real Analysis I