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In this paper we study a continuous-time stochastic linear quadratic control problem arising from mathematical finance. We model the asset dynamics with random market coefficients and portfolio strategies with convex constraints. Following…

Portfolio Management · Quantitative Finance 2017-05-24 Yusong Li , Harry Zheng

In this work we study a finite horizon optimal liquidation problem with multiplicative price impact in algorithmic trading, using market orders. We analyze the case when an agent is trading on a market with two financial assets, whose…

Optimization and Control · Mathematics 2020-10-07 Riccardo Cesari , Harry Zheng

This paper introduces a novel methodology for index return forecasting, blending highly correlated stock prices, advanced deep learning techniques, and intricate factor integration. Departing from conventional cap-weighted approaches, our…

General Finance · Quantitative Finance 2024-05-06 Tian Tian , Ricky Cooper , Jiahao Deng , Qingquan Zhang

Stochastic Differential Equations (SDEs) are used as statistical models in many disciplines. However, intractable likelihood functions for SDEs make inference challenging, and we need to resort to simulation-based techniques to estimate and…

Methodology · Statistics 2014-08-12 Grant Schneider , Peter F. Craigmile , Radu Herbei

We introduce two new particle-based algorithms for learning latent variable models via marginal maximum likelihood estimation, including one which is entirely tuning-free. Our methods are based on the perspective of marginal maximum…

Machine Learning · Statistics 2024-03-04 Louis Sharrock , Daniel Dodd , Christopher Nemeth

In this paper,we mainly focus on the numerical solution of high-dimensional stochastic optimal control problem driven by fully-coupled forward-backward stochastic differential equations (FBSDEs in short) through deep learning. We first…

Optimization and Control · Mathematics 2024-08-21 Shaolin Ji , Shige Peng , Ying Peng , Xichuan Zhang

This article develops the theory of risk budgeting portfolios, when we would like to impose weight constraints. It appears that the mathematical problem is more complex than the traditional risk budgeting problem. The formulation of the…

Portfolio Management · Quantitative Finance 2019-02-18 Jean-Charles Richard , Thierry Roncalli

This paper studies a type of periodic utility maximization for portfolio management in an incomplete market model, where the underlying price diffusion process depends on some external stochastic factors. The portfolio performance is…

Portfolio Management · Quantitative Finance 2024-01-29 Wenyuan Wang , Kaixin Yan , Xiang Yu

Performance forecasting is an age-old problem in economics and finance. Recently, developments in machine learning and neural networks have given rise to non-linear time series models that provide modern and promising alternatives to…

Statistical Finance · Quantitative Finance 2022-01-21 Carmina Fjellström

Ensemble learning is characterized by flexibility, high precision, and refined structure. As a critical component within computational finance, option pricing with machine learning requires both high predictive accuracy and reduced…

Machine Learning · Computer Science 2025-06-09 Zeyuan Li , Qingdao Huang

This research systematically develops and evaluates various hybrid modeling approaches by combining traditional econometric models (ARIMA and ARFIMA models) with machine learning and deep learning techniques (SVM, XGBoost, and LSTM models)…

Trading and Market Microstructure · Quantitative Finance 2025-05-27 Dominik Stempień , Robert Ślepaczuk

Reinforcement learning (RL) has shown significant promise for sequential portfolio optimization tasks, such as stock trading, where the objective is to maximize cumulative returns while minimizing risks using historical data. However,…

Machine Learning · Computer Science 2025-05-20 Haochen Yuan , Minting Pan , Yunbo Wang , Siyu Gao , Philip S. Yu , Xiaokang Yang

This study first reviews fuzzy random Portfolio selection theory and describes the concept of portfolio optimization model as a useful instrument for helping finance practitioners and researchers. Second, this paper specifically aims at…

Optimization and Control · Mathematics 2014-02-18 Mir Ehsan Hesam Sadati , Ali Doniavi

High-dimensional partial differential equations (PDE) appear in a number of models from the financial industry, such as in derivative pricing models, credit valuation adjustment (CVA) models, or portfolio optimization models. The PDEs in…

Numerical Analysis · Mathematics 2020-07-15 Christian Beck , Weinan E , Arnulf Jentzen

The paper presents a Bayesian framework for the calibration of financial models using neural stochastic differential equations (neural SDEs), for which we also formulate a global universal approximation theorem based on Barron-type…

Computational Finance · Quantitative Finance 2026-05-12 Christa Cuchiero , Eva Flonner , Kevin Kurt

The application of deep learning to time series forecasting is one of the major challenges in present machine learning. We propose a novel methodology that combines machine learning and image processing methods to define and predict market…

Computational Finance · Quantitative Finance 2020-08-19 Bairui Du , Delmiro Fernandez-Reyes , Paolo Barucca

The increasing size of data generated by smartphones and IoT devices motivated the development of Federated Learning (FL), a framework for on-device collaborative training of machine learning models. First efforts in FL focused on learning…

Machine Learning · Computer Science 2022-11-08 Othmane Marfoq , Giovanni Neglia , Aurélien Bellet , Laetitia Kameni , Richard Vidal

This paper studies the utility maximization on the terminal wealth with random endowments and proportional transaction costs. To deal with unbounded random payoffs from some illiquid claims, we propose to work with the acceptable portfolios…

Mathematical Finance · Quantitative Finance 2018-08-27 Erhan Bayraktar , Xiang Yu

Predicting a fast and accurate model for stock price forecasting is been a challenging task and this is an active area of research where it is yet to be found which is the best way to forecast the stock price. Machine learning, deep…

Statistical Finance · Quantitative Finance 2024-02-13 Himanshu Gupta , Aditya Jaiswal

This paper studies the ubiquitous problem of liquidating large quantities of highly correlated stocks, a task frequently encountered by institutional investors and proprietary trading firms. Traditional methods in this setting suffer from…

Trading and Market Microstructure · Quantitative Finance 2025-02-13 Moustapha Pemy , Na Zhang