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The starting point of this paper is the so-called Robust Positive Expectation (RPE) Theorem, a result which appears in literature in the context of Simultaneous Long-Short stock trading. This theorem states that using a combination of two…

Statistical Finance · Quantitative Finance 2018-03-14 Atul Deshpande , B. Ross Barmish

We present a generalization of the Simultaneous Long-Short (SLS) trading strategy described in recent control literature wherein we allow for different parameters across the short and long sides of the controller; we refer to this new…

Trading and Market Microstructure · Quantitative Finance 2020-08-24 Joseph D. O'Brien , Mark E. Burke , Kevin Burke

In this paper, we extend the existing double linear policy by incorporating time-varying weights instead of constant weights and study a certain robustness property, called robust positive expectation (RPE), in a discrete-time setting. We…

Optimization and Control · Mathematics 2024-01-17 Xin-Yu Wang , Chung-Han Hsieh

We present a detailed study of the performance of a trading rule that uses moving average of past returns to predict future returns on stock indexes. Our main goal is to link performance and the stochastic process of the traded asset. Our…

Statistical Finance · Quantitative Finance 2019-07-03 Fernando F. Ferreira , A. Christian Silva , Ju-Yi Yen

A trading system is said to be {robust} if it generates a robust return regardless of market direction. To this end, a consistently positive expected trading gain is often used as a robustness metric for a trading system. In this paper, we…

Optimization and Control · Mathematics 2022-11-04 Chung-Han Hsieh

Traditional Long Short-Term Memory (LSTM) networks are effective for handling sequential data but have limitations such as gradient vanishing and difficulty in capturing long-term dependencies, which can impact their performance in dynamic…

Computational Engineering, Finance, and Science · Computer Science 2026-04-29 Faezeh Sarlakifar , Mohammadreza Mohammadzadeh Asl , Sajjad Rezvani Khaledi , Armin Salimi-Badr

In this article, the long-term behavior of the stock market index of the New York Stock Exchange is studied, for the period 1950 to 2013. Specifically, the CRSP Value-Weighted and CRSP Equal-Weighted index are analyzed in terms of market…

Trading and Market Microstructure · Quantitative Finance 2015-10-15 Roberto Ortiz , Mauricio Contreras , Marcelo Villena

In order to simulate the complex phenomena manifested in stock markets, we introduce a continuous asynchronous model in which millions of individual traders interact through a central orders matching mechanism, just as it happens in real…

Statistical Mechanics · Physics 2008-12-02 M. Shatner , L. Muchnik , M. Leshno , S. Solomon

Reinforcement Learning (RL) controllers have generated excitement within the control community. The primary advantage of RL controllers relative to existing methods is their ability to optimize uncertain systems independently of explicit…

Machine Learning · Computer Science 2021-12-07 Max Mowbray , Panagiotis Petsagkourakis , Ehecatl Antonio del Río Chanona , Dongda Zhang

The stock market prediction has always been crucial for stakeholders, traders and investors. We developed an ensemble Long Short Term Memory (LSTM) model that includes two-time frequencies (annual and daily parameters) in order to predict…

Statistical Finance · Quantitative Finance 2020-01-13 Zineb Lanbouri , Saaid Achchab

In this paper, we present a method for constructing a (static) portfolio of co-maturing European options whose price sign is determined by the skewness level of the associated implied volatility. This property holds regardless of the…

Pricing of Securities · Quantitative Finance 2016-11-18 Sergey Nadtochiy , Jan Obloj

This paper presents novel results generated from a new simulation model of a contemporary financial market, that cast serious doubt on the previously widely accepted view of the relative performance of various well-known public-domain…

Trading and Market Microstructure · Quantitative Finance 2020-09-16 Michael Rollins , Dave Cliff

Stock prices forecasting has always been a challenging task. Although many research projects try to address the problem, few of them pay attention to the varying degrees of dependencies between stock prices. In this paper, we introduce a…

Machine Learning · Computer Science 2025-04-02 Yuanzhe Jia , Ali Anaissi , Basem Suleiman

Recent advances in reinforcement learning, such as Dynamic Sampling Policy Optimization (DAPO), show strong performance when paired with large language models (LLMs). Motivated by this success, we ask whether similar gains can be realized…

Computational Engineering, Finance, and Science · Computer Science 2025-05-27 Ruijian Zha , Bojun Liu

Stock price prediction is a challenging problem in the field of finance and receives widespread attention. In recent years, with the rapid development of technologies such as deep learning and graph neural networks, more research methods…

Statistical Finance · Quantitative Finance 2025-05-13 Peng Zhu , Yuante Li , Yifan Hu , Qinyuan Liu , Dawei Cheng , Yuqi Liang

The control properties of discrete-time switched linear systems (SLS) with switching signals generated by logical dynamic systems are studied using the semi-tensor product (STP) approach. With the algebraic state space representation…

Systems and Control · Electrical Eng. & Systems 2024-01-08 Xiao Zhang , Min Meng , Zhengping Ji

This paper studies the robust optimal gain selection problem for financial trading systems, formulated within a \emph{double linear policy} framework, which allocates capital across long and short positions. The key objective is to…

Systems and Control · Electrical Eng. & Systems 2025-01-20 Chung-Han Hsieh

A class of continuous controllers termed Robust Integral of the Signum of the Error (RISE) have been published over the last decade as a means to yield asymptotic convergence of the tracking error for classes of nonlinear systems that are…

Systems and Control · Electrical Eng. & Systems 2026-01-29 Rushikesh Kamalapurkar , Joel A. Rosenfeld , Justin Klotz , Ryan J. Downey , Warren E. Dixon

Pairs Trading is carried out in the financial market to earn huge profits from known equilibrium relation between pairs of stock. In financial markets, seldom it is seen that stock pairs are correlated at particular lead or lag. This…

Statistical Finance · Quantitative Finance 2020-06-24 Kartikay Gupta , Niladri Chatterjee

This paper presents a risk-aware safe reinforcement learning (RL) control design for stochastic discrete-time linear systems. Rather than using a safety certifier to myopically intervene with the RL controller, a risk-informed safe…

Systems and Control · Electrical Eng. & Systems 2025-05-16 Babak Esmaeili , Nariman Niknejad , Hamidreza Modares
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