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Quantized tensor trains (QTTs) are a multiscale computational framework that can potentially reduce the computational cost of solving partial differential equations and initial value problems by making low-rank approximations. However, its…

Computational Physics · Physics 2026-05-14 Erika Ye

In this thesis, we develop a comprehensive account of the expressive power, modelling efficiency, and performance advantages of so-called trading agents (i.e., Deep Soft Recurrent Q-Network (DSRQN) and Mixture of Score Machines (MSM)),…

Portfolio Management · Quantitative Finance 2019-09-23 Angelos Filos

Nowadays, machine learning methods have been widely used in stock prediction. Traditional approaches assume an identical data distribution, under which a learned model on the training data is fixed and applied directly in the test data.…

Statistical Finance · Quantitative Finance 2020-02-18 Chi Chen , Li Zhao , Wei Cao , Jiang Bian , Chunxiao Xing

Numerous established machine learning models and various neural network architectures can be restructured as Quadratic Unconstrained Binary Optimization (QUBO) problems. A significant challenge in Adiabatic Quantum Machine Learning (AQML)…

Quantum Physics · Physics 2025-05-15 Bahram Alidaee , Haibo Wang , Lutfu Sua , Wade Liu

The instability in GAN training has been a long-standing problem despite remarkable research efforts. We identify that instability issues stem from difficulties of performing feature matching with mini-batch statistics, due to a fragile…

Machine Learning · Computer Science 2020-07-16 Yang Zhao , Chunyuan Li , Ping Yu , Jianfeng Gao , Changyou Chen

Algorithmic trading in modern financial markets is widely acknowledged to exhibit strategic, game-theoretic behaviors whose complexity can be difficult to model. A recent series of papers (Chriss, 2024b,c,a, 2025) has made progress in the…

Computer Science and Game Theory · Computer Science 2025-06-10 Michael Kearns , Mirah Shi

In order to solve the problem of non-ideal training sets (i.e., the less-complete or over-complete sets) and implement one-iteration learning, a novel efficient quantum perceptron algorithm based on unitary weights is proposed, where the…

Quantum Physics · Physics 2024-05-14 Wenjie Liu , Peipei Gao , Yuxiang Wang , Wenbin Yu , Maojun Zhang

Financial market forecasting remains a formidable challenge despite the surge in computational capabilities and machine learning advancements. While numerous studies have underscored the precision of computer-generated market predictions,…

Computational Finance · Quantitative Finance 2023-11-16 Reza Yarbakhsh , Mahdieh Soleymani Baghshah , Hamidreza Karimaghaie

We propose a formulation of the stochastic cutting stock problem as a discounted infinite-horizon Markov decision process. At each decision epoch, given current inventory of items, an agent chooses in which patterns to cut objects in stock…

Optimization and Control · Mathematics 2022-06-29 Anselmo R. Pitombeira-Neto , Arthur H. Fonseca Murta

Traditional multi-agent reinforcement learning algorithms are not scalable to environments with more than a few agents, since these algorithms are exponential in the number of agents. Recent research has introduced successful methods to…

Multiagent Systems · Computer Science 2021-01-26 Sriram Ganapathi Subramanian , Matthew E. Taylor , Mark Crowley , Pascal Poupart

The use of machine learning in algorithmic trading systems is increasingly common. In a typical set-up, supervised learning is used to predict the future prices of assets, and those predictions drive a simple trading and execution strategy.…

Machine Learning · Computer Science 2023-07-19 Vikram Duvvur , Aashay Mehta , Edward Sun , Bo Wu , Ken Yew Chan , Jeff Schneider

Although Q-learning is one of the most successful algorithms for finding the best action-value function (and thus the optimal policy) in reinforcement learning, its implementation often suffers from large overestimation of Q-function values…

Machine Learning · Computer Science 2020-10-13 Huaqing Xiong , Lin Zhao , Yingbin Liang , Wei Zhang

Limit Order Books (LOBs) serve as a mechanism for buyers and sellers to interact with each other in the financial markets. Modelling and simulating LOBs is quite often necessary for calibrating and fine-tuning the automated trading…

Trading and Market Microstructure · Quantitative Finance 2024-03-04 Konark Jain , Nick Firoozye , Jonathan Kochems , Philip Treleaven

We adopt Deep Reinforcement Learning algorithms to design trading strategies for continuous futures contracts. Both discrete and continuous action spaces are considered and volatility scaling is incorporated to create reward functions which…

Computational Finance · Quantitative Finance 2019-11-25 Zihao Zhang , Stefan Zohren , Stephen Roberts

This article considers the problem of designing adaption and optimisation techniques for training quantum learning machines. To this end, the division algebra of quaternions is used to derive an effective model for representing computation…

Quantum Physics · Physics 2025-05-09 Sayed Pouria Talebi , Clive Cheong Took , Danilo P. Mandic

In many real-world scenarios involving high-stakes and safety implications, a human decision-maker (HDM) may receive recommendations from an artificial intelligence while holding the ultimate responsibility of making decisions. In this…

Machine Learning · Computer Science 2024-07-18 Ioannis Faros , Aditya Dave , Andreas A. Malikopoulos

Nowadays, with the availability of massive amount of trade data collected, the dynamics of the financial markets pose both a challenge and an opportunity for high frequency traders. In order to take advantage of the rapid, subtle movement…

Computational Engineering, Finance, and Science · Computer Science 2018-07-06 Dat Thanh Tran , Martin Magris , Juho Kanniainen , Moncef Gabbouj , Alexandros Iosifidis

The primary goal of reinforcement learning is to develop decision-making policies that prioritize optimal performance without considering risk or safety. In contrast, safe reinforcement learning aims to mitigate or avoid unsafe states. This…

Machine Learning · Computer Science 2024-09-13 Zahra Shahrooei , Ali Baheri

Q learning is widely used to simulate the behaviors of generation companies (GenCos) in an electricity market. However, existing Q learning method usually requires numerous iterations to converge, which is time-consuming and inefficient in…

Systems and Control · Electrical Eng. & Systems 2020-08-05 Qiangang Jia , Zhaoyu Hu , Yiyan Li , Zheng Yan , Sijie Chen

Q-learning is a regression-based approach that is widely used to formalize the development of an optimal dynamic treatment strategy. Finite dimensional working models are typically used to estimate certain nuisance parameters, and…

Methodology · Statistics 2020-03-30 Ashkan Ertefaie , James R. McKay , David Oslin , Robert L. Strawderman