Abstract
Recurrent neural networks have received vast amount of attention in time series prediction due to their flexibility in capturing dependencies on various scales. However, as in most of the classical forecasting methods, its accuracy is strongly tied to the degree of signal complexity. Specifically, stock market prices are commonly classified to be non-linear, non-stationary and chaotic signals, since they exhibit erratic behavior that conducts a poor performance in the long short-term memory (LSTM). In this paper, we propose a methodology to improve the predictability of financial time series by using the complete ensemble empirical mode decomposition with adaptive noise and the intrinsic sample entropy (SampEn). We evaluated the integrated model by applying it to S&P 500 index stocks for the period between January 2018 and April 2020 and for each time series of stock closing prices, an LSTM model was trained to forecast the next closing price. The experimental results represent a dependency between the decomposed signal entropy and the performance of forecast accuracy. This suggests that in those cases where the short-term complexity in financial time series is smaller compared to the series energy, the forecasting capabilities are significantly improved after the removal of decomposed highest frequency. Furthermore, our results show an improvement in forecasting the direction of the stock price by 31% using the classical LSTM architecture.
Highlights
In financial time series forecasting, recent corporate news plays an important role with an expected correlation in successive headlines
We removed the first decomposed component or intrinsic mode function (IMF) from the original series, which results in a new time series that preserves most of the original energy and induces less complexity
It is observed in the figure that the average direction accuracy is greater in a model trained with the proposed methodology, and the dispersion in the results, which is larger in an Long Short-Term Memory (LSTM) model trained with the original series
Summary
In financial time series forecasting, recent corporate news plays an important role with an expected correlation in successive headlines. Richman and Moorman [8] suggested the sample entropy (SampEn) as a metric, which is closely related to the entropy and is based on the approximate entropy (ApEn) proposed by Pincus It reflects the degree of regularity and predictability found in a signal. To the best of our knowledge, we propose a unique methodology to reduce complexity of a time series and significantly improve the forecasting accuracy by using the empirical mode decomposition and the sample entropy. Based on our empirical results, we show that the quasi-periodic element is the main factor that the LSTM model performs poorly by the fact that its behavior of extracting patterns from a time series. Empirical results and discussion for two financial time series and the dispersion between direction accuracy and SampEn over 500 companies are exhibited
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