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Most existing neural network-based approaches for solving stochastic optimal control problems using the associated backward dynamic programming principle rely on the ability to simulate the underlying state variables. However, in some…

Machine Learning · Statistics 2024-01-30 Christian Yeo

We consider rate swaps which pay a fixed rate against a floating rate in presence of bid-ask spread costs. Even for simple models of bid-ask spread costs, there is no explicit strategy optimizing an expected function of the hedging error.…

Computational Finance · Quantitative Finance 2016-04-13 Christophe Michel , Victor Reutenauer , Denis Talay , Etienne Tanré

This paper proposes a method to design an optimal dynamic contract between a principal and an agent, who has the authority to control both the principal's revenue and an engineered system. The key characteristic of our problem setting is…

Optimization and Control · Mathematics 2014-03-24 Insoon Yang , Duncan S. Callaway , Claire J. Tomlin

Effective hyper-parameter tuning is essential to guarantee the performance that neural networks have come to be known for. In this work, a principled approach to choosing the learning rate is proposed for shallow feedforward neural…

Machine Learning · Computer Science 2020-10-01 Thulasi Tholeti , Sheetal Kalyani

We introduce a new probabilistic method for solving a class of impulse control problems based on their representations as Backward Stochastic Differential Equations (BSDEs for short) with constrained jumps. As an example, our method is used…

Computational Finance · Quantitative Finance 2015-03-17 Marie Bernhart , Huyên Pham , Peter Tankov , Xavier Warin

This paper develops learning-augmented algorithms for energy trading in volatile electricity markets. The basic problem is to sell (or buy) $k$ units of energy for the highest revenue (lowest cost) over uncertain time-varying prices, which…

Machine Learning · Computer Science 2024-02-29 Russell Lee , Bo Sun , Mohammad Hajiesmaili , John C. S. Lui

Convergence (virtual) bidding is an important part of two-settlement electric power markets as it can effectively reduce discrepancies between the day-ahead and real-time markets. Consequently, there is extensive research into the bidding…

Optimization and Control · Mathematics 2023-02-09 Letif Mones , Sean Lovett

This paper proposes a novel energy storage price arbitrage algorithm combining supervised learning with dynamic programming. The proposed approach uses a neural network to directly predicts the opportunity cost at different energy storage…

Systems and Control · Electrical Eng. & Systems 2022-11-22 Ningkun Zheng , Xiaoxiang Liu , Bolun Xu , Yuanyuan Shi

Collaborative machine learning (CML) provides a promising paradigm for democratizing advanced technologies by enabling cost-sharing among participants. However, the potential for rent-seeking behaviors among parties can undermine such…

Machine Learning · Computer Science 2025-01-03 Bingchen Wang , Zhaoxuan Wu , Fusheng Liu , Bryan Kian Hsiang Low

We consider the classic principal-agent model of contract theory, in which a principal designs an outcome-dependent compensation scheme to incentivize an agent to take a costly and unobservable action. When all of the model…

Computer Science and Game Theory · Computer Science 2020-08-11 Paul Dütting , Tim Roughgarden , Inbal Talgam-Cohen

Trading frictions are stochastic. They are, moreover, in many instances fast-mean reverting. Here, we study how to optimally trade in a market with stochastic price impact and study approximations to the resulting optimal control problem…

Mathematical Finance · Quantitative Finance 2023-08-25 Jean-Pierre Fouque , Sebastian Jaimungal , Yuri F. Saporito

Price determination is a central research topic of revenue management in marketing. The important aspect in pricing is controlling the stochastic behavior of demand, and the previous studies have tackled price optimization problems with…

Optimization and Control · Mathematics 2024-01-04 Yuya Hikima , Akiko Takeda

We introduce a novel and efficient algorithm called the stochastic approximate gradient descent (SAGD), as an alternative to the stochastic gradient descent for cases where unbiased stochastic gradients cannot be trivially obtained.…

Machine Learning · Computer Science 2020-02-14 Yixuan Qiu , Xiao Wang

We present an algorithm to approximate the solutions to variational problems where set of admissible functions consists of convex functions. The main motivator behind this numerical method is estimating solutions to Adverse Selection…

Optimization and Control · Mathematics 2008-03-07 Ivar Ekeland , Santiago Moreno

The aim of this paper is to explain how parameters adjustments can be integrated in the design or the control of automates of trading. Typically, we are interested by the online estimation of the market impacts generated by robots or single…

Computational Finance · Quantitative Finance 2017-12-06 N Baradel , B Bouchard , Ngoc Minh Dang

Designing an incentive compatible auction that maximizes expected revenue is a central problem in Auction Design. While theoretical approaches to the problem have hit some limits, a recent research direction initiated by Duetting et al.…

Computer Science and Game Theory · Computer Science 2021-10-26 Jad Rahme , Samy Jelassi , S. Matthew Weinberg

We present the method of moments approach to pricing barrier-type options when the underlying is modelled by a general class of jump diffusions. By general principles the option prices are linked to certain infinite dimensional linear…

Computational Finance · Quantitative Finance 2008-12-25 Bjorn Eriksson , Martijn Pistorius

We consider moral hazard problems where a principal has access to rich monitoring data about an agent's action. Rather than focusing on optimal contracts (which are known to in general be complicated), we characterize the optimal rate at…

Theoretical Economics · Economics 2024-07-04 Mira Frick , Ryota Iijima , Yuhta Ishii

We develop policy gradients methods for stochastic control with exit time in a model-free setting. We propose two types of algorithms for learning either directly the optimal policy or by learning alternately the value function (critic) and…

Computational Finance · Quantitative Finance 2023-02-16 Mohamed Hamdouche , Pierre Henry-Labordere , Huyen Pham

This article presents fast lower and upper estimates for a large class of options: the class of constrained multiple exercise American options. Typical options in this class are swing options with volume and timing constraints, and passport…

Computational Finance · Quantitative Finance 2020-02-27 Nicolas Essis-Breton , Patrice Gaillardetz
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