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The Black-Scholes model, defined under the assumption of a perfect financial market, theoretically creates a flawless hedging strategy allowing the trader to evade risks in a portfolio of options. However, the concept of a "perfect…

Computational Finance · Quantitative Finance 2021-12-21 Guijin Son , Joocheol Kim

This paper treats functional marked point processes (FMPPs), which are defined as marked point processes where the marks are random elements in some (Polish) function space. Such marks may represent e.g. spatial paths or functions of time.…

Statistics Theory · Mathematics 2019-12-02 Ottmar Cronie , Mohammad Ghorbani , Jorge Mateu , Jun Yu

We propose a novel portfolio trading system, which contains a feature preprocessing module and a trading module. The feature preprocessing module consists of various data processing operations, while in the trading part, we integrate the…

Trading and Market Microstructure · Quantitative Finance 2021-11-02 Lin Li

As machine learning increasingly influences critical domains such as credit underwriting, public policy, and talent acquisition, ensuring compliance with fairness constraints is both a legal and ethical imperative. This paper introduces a…

Machine Learning · Computer Science 2025-04-24 Léandre Eberhard , Nirek Sharma , Filipp Shelobolin , Aalok Ganesh Shanbhag

The well-conditioned multi-product formula (MPF), proposed by [Low, Kliuchnikov, and Wiebe, 2019], is a simple high-order time-independent Hamiltonian simulation algorithm that implements a linear combination of standard product formulas of…

Quantum Physics · Physics 2024-03-15 Junaid Aftab , Dong An , Konstantina Trivisa

We consider a general class of diffusion-based models and show that, even in the absence of an Equivalent Local Martingale Measure, the financial market may still be viable, in the sense that strong forms of arbitrage are excluded and…

Portfolio Management · Quantitative Finance 2013-02-12 Claudio Fontana , Wolfgang J. Runggaldier

Partially observable Markov decision processes (POMDPs) are a powerful abstraction for tasks that require decision making under uncertainty, and capture a wide range of real world tasks. Today, effective planning approaches exist that…

Machine Learning · Statistics 2018-05-24 Sebastian Tschiatschek , Kai Arulkumaran , Jan Stühmer , Katja Hofmann

We propose a Pretrained Finite Element Method (PFEM),a physics driven framework that bridges the efficiency of neural operator learning with the accuracy and robustness of classical finite element methods (FEM). PFEM consists of a physics…

Flexible ramping products (FRPs) emerge as a promising instrument for addressing steep and uncertain ramping needs through market mechanisms. Initial implementations of FRPs in North American electricity markets, however, revealed several…

Systems and Control · Electrical Eng. & Systems 2024-09-04 Ogun Yurdakul , Erik Ela , Farhad Billimoria

With the increasing integration of power plants into the frequency-regulation markets, the importance of optimal trading has grown substantially. This paper conducts an in-depth analysis of their optimal trading behavior in sequential…

Systems and Control · Electrical Eng. & Systems 2023-10-30 Saeed Nordin , Abolfazl Khodadadi , Priyanka Shinde , Evelin Blom , Mohammad Reza Hesamzadeh , Lennart Söder

Predictive modelling and supervised learning are central to modern data science. With predictions from an ever-expanding number of supervised black-box strategies - e.g., kernel methods, random forests, deep learning aka neural networks -…

Machine Learning · Statistics 2019-05-08 Frithjof Gressmann , Franz J. Király , Bilal Mateen , Harald Oberhauser

Recent developments in deep learning techniques have motivated intensive research in machine learning-aided stock trading strategies. However, since the financial market has a highly non-stationary nature hindering the application of…

Portfolio Management · Quantitative Finance 2020-12-15 Kentaro Imajo , Kentaro Minami , Katsuya Ito , Kei Nakagawa

We present an integrated prediction-optimization (PredOpt) framework to efficiently solve sequential decision-making problems by predicting the values of binary decision variables in an optimal solution. We address the key issues of…

Machine Learning · Computer Science 2023-11-14 Dogacan Yilmaz , İ. Esra Büyüktahtakın

Partially Observable Markov Decision Process (POMDP) is a framework applicable to many real world problems. In this work, we propose an approach to solve POMDPs with multimodal belief by relying on a policy that solves the fully observable…

Machine Learning · Computer Science 2022-07-26 András Attila Sulyok , Kristóf Karacs

Deep Reinforcement Learning (DRL) algorithms can scale to previously intractable problems. The automation of profit generation in the stock market is possible using DRL, by combining the financial assets price "prediction" step and the…

Trading and Market Microstructure · Quantitative Finance 2022-09-20 Taylan Kabbani , Ekrem Duman

While traditional machine learning can effectively tackle a wide range of problems, it primarily operates within a closed-world setting, which presents limitations when dealing with streaming data. As a solution, incremental learning…

Machine Learning · Computer Science 2025-03-11 Hai-Long Sun , Da-Wei Zhou , De-Chuan Zhan , Han-Jia Ye

The fixed parameter tractable (FPT) approach is a powerful tool in tackling computationally hard problems. In this paper, we link FPT results to classic artificial intelligence (AI) techniques to show how they complement each other.…

Artificial Intelligence · Computer Science 2019-07-24 Daniel Karapetyan , Andrew J. Parkes , Gregory Gutin , Andrei Gagarin

Industries learn productivity improvements from their suppliers. The observed empirical importance of these interactions, often omitted by input-output models, mandates larger attention. This article embeds interdependent total factor…

Theoretical Economics · Economics 2023-12-27 Thomas M. Bombarde , Andrew L. Krause

In this paper, we consider the solvability problems for the fully coupled forward-backward stochastic difference equations (FBS{\Delta}Es) on spaces related to discrete time, finite state processes. On one hand, we provide the necessary and…

Probability · Mathematics 2019-07-09 Shaolin Ji , Haodong Liu

The Black-Scholes theory of option pricing has been considered for many years as an important but very approximate zeroth-order description of actual market behavior. We generalize the functional form of the diffusion of these systems and…

Computational Physics · Physics 2009-11-06 Lester Ingber
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