Possibility for Short-Term Forecasting of Japanese Stocks Return by Randomly Distributed Embedding Theory

In this work, we use the model-free framework, named randomly distributed embedding, which is the method that randomly selects variables from the values of many observed variables at a certain time and estimates the state of the attractor at that time, to predict the future return of Japanese stocks and show that the prediction accuracy is improved compared to the conventional methods such as simple linear regression or least absolute shrinkage and selection operator (LASSO) regression. In addition, important points to be considered when applying the randomly distributed embedding method to financial markets, and specific future practical applications will be presented.