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We present Coordinated Proximal Policy Optimization (CoPPO), an algorithm that extends the original Proximal Policy Optimization (PPO) to the multi-agent setting. The key idea lies in the coordinated adaptation of step size during the…

Artificial Intelligence · Computer Science 2021-11-09 Zifan Wu , Chao Yu , Deheng Ye , Junge Zhang , Haiyin Piao , Hankz Hankui Zhuo

With the development of deep learning, Dynamic Portfolio Optimization (DPO) problem has received a lot of attention in recent years, not only in the field of finance but also in the field of deep learning. Some advanced research in recent…

Computational Engineering, Finance, and Science · Computer Science 2025-01-16 Runsheng Lin , Zihan Xing , Mingze Ma , Raymond S. T. Lee

This paper proposes a momentum-constrained hybrid heuristic trajectory optimization framework (MHHTOF) tailored for assistive navigation in visually impaired scenarios, integrating trajectory sampling generation, optimization and evaluation…

Robotics · Computer Science 2025-12-08 Yuting Zeng , Zhiwen Zheng , You Zhou , JiaLing Xiao , Yongbin Yu , Manping Fan , Bo Gong , Liyong Ren

Trust Region Policy Optimization (TRPO) and Proximal Policy Optimization (PPO) are among the most successful policy gradient approaches in deep reinforcement learning (RL). While these methods achieve state-of-the-art performance across a…

Machine Learning · Computer Science 2020-06-22 Ahmed Touati , Amy Zhang , Joelle Pineau , Pascal Vincent

Traditional risk factors like beta, size/value, and momentum often lag behind market dynamics in measuring and predicting stock return volatility. Statistical models like PCA and factor analysis fail to capture hidden nonlinear…

Computational Engineering, Finance, and Science · Computer Science 2025-09-23 Wenyan Xu , Jiayu Chen , Dawei Xiang , Chen Li , Yonghong Hu , Zhonghua Lu

Investors and stock market analysts face major challenges in predicting stock returns and making wise investment decisions. The predictability of equity stock returns can boost investor confidence, but it remains a difficult task. To…

Statistical Finance · Quantitative Finance 2025-07-04 Adebola K. Ojo , Ifechukwude Jude Okafor

In the classical Reinforcement Learning from Human Feedback (RLHF) framework, Proximal Policy Optimization (PPO) is employed to learn from sparse, sentence-level rewards -- a challenging scenario in traditional deep reinforcement learning.…

Machine Learning · Computer Science 2025-05-22 Han Zhong , Zikang Shan , Guhao Feng , Wei Xiong , Xinle Cheng , Li Zhao , Di He , Jiang Bian , Liwei Wang

In this paper we tackle the problem of dynamic portfolio optimization, i.e., determining the optimal trading trajectory for an investment portfolio of assets over a period of time, taking into account transaction costs and other possible…

This work aims to implement Long Short-Term Memory mixture density networks (LSTM-MDNs) for Value-at-Risk forecasting and compare their performance with established models (historical simulation, CMM, and GARCH) using a defined backtesting…

Computational Finance · Quantitative Finance 2025-01-03 Nico Herrig

We present a novel approach for predicting the distribution of asset returns using a quantile-based method with Long Short-Term Memory (LSTM) networks. Our model is designed in two stages: the first focuses on predicting the quantiles of…

Statistical Finance · Quantitative Finance 2025-01-29 Ísak Pétursson , María Óskarsdóttir

Hyperparameter optimization (HPO) plays a central role in the performance of deep learning models, yet remains computationally expensive and difficult to interpret, particularly for time-series forecasting. While Bayesian Optimization (BO)…

Machine Learning · Computer Science 2026-02-17 Ons Saadallah , Mátyás andó , Tamás Gábor Orosz

Direct Preference Optimization (DPO) has been widely adopted for large language model alignment due to its simple training procedure and lack of an explicit reward model. However, in iterative DPO, when the policy model from the previous…

Information Retrieval · Computer Science 2026-05-25 Lingling Fu , Yongfu Xu

Proximal Policy Optimization (PPO)-based reinforcement learning from human feedback (RLHF) is a widely adopted paradigm for aligning large language models (LLMs) with human preferences. However, its training pipeline suffers from…

Machine Learning · Computer Science 2026-03-06 Kaizhuo Yan , Yingjie Yu , Yifan Yu , Haizhong Zheng , Fan Lai

Financial portfolio management (PM) is one of the most applicable problems in reinforcement learning (RL) owing to its sequential decision-making nature. However, existing RL-based approaches rarely focus on scalability or reusability to…

Portfolio Management · Quantitative Finance 2022-02-22 Zhenhan Huang , Fumihide Tanaka

Recent research has shown an increasing interest in utilizing pre-trained large language models (LLMs) for a variety of time series applications. However, there are three main challenges when using LLMs as foundational models for time…

Machine Learning · Computer Science 2025-07-02 Wenzhe Niu , Zongxia Xie , Yanru Sun , Wei He , Man Xu , Chao Hao

On-policy reinforcement learning methods, like Trust Region Policy Optimization (TRPO) and Proximal Policy Optimization (PPO), often demand extensive data per update, leading to sample inefficiency. This paper introduces Reflective Policy…

Machine Learning · Computer Science 2024-06-07 Yaozhong Gan , Renye Yan , Zhe Wu , Junliang Xing

In this paper, we present an artificial neural network framework for portfolio compression of a large portfolio of European options with varying maturities (target portfolio) by a significantly smaller portfolio of European options with…

Portfolio Management · Quantitative Finance 2024-02-29 Vikranth Lokeshwar Dhandapani , Shashi Jain

Reinforcement learning has significantly enhanced the reasoning capabilities of Large Language Models (LLMs) in complex problem-solving tasks. Recently, the introduction of DeepSeek R1 has inspired a surge of interest in leveraging…

Machine Learning · Computer Science 2025-08-07 Jinghang Han , Jiawei Chen , Hang Shao , Hao Ma , Mingcheng Li , Xintian Shen , Lihao Zheng , Wei Chen , Tao Wei , Lihua Zhang

Covariance matrices estimated from short, noisy, and non-Gaussian financial time series are notoriously unstable. Empirical evidence suggests that such covariance structures often exhibit power-law scaling, reflecting complex, hierarchical…

Computational Finance · Quantitative Finance 2026-01-13 Andres Garcia-Medina

This paper focuses on the application and optimization of LSTM model in financial risk prediction. The study starts with an overview of the architecture and algorithm foundation of LSTM, and then details the model training process and…

Machine Learning · Computer Science 2024-06-03 Ke Xu , Yu Cheng , Shiqing Long , Junjie Guo , Jue Xiao , Mengfang Sun