Developing Time-Based Clustering Neural Networks to Use Change-Point Detection: Application to Financial Time Series

This study suggests time-based clustering models integrating change-point detection and neural networks, and applies them to financial time series forecasting. The basic concept of the proposed models is to obtain intervals divided by change points, to identify them as change-point groups, and to involve them in the forecasting model. The proposed models consist of two stages. The first stage, the clustering neural network modeling stage, is to detect successive change points in the dataset, and to forecast change-point groups with backpropagation neural networks (BPNs). In this stage, three change-point detection methods are applied and compared. They are: (1) the parametric approach, (2) the nonparametric approach, and (3) the model-based approach. The next stage is to forecast the final output with BPNs. Through the application to financial time series forecasting, we compare the proposed models with a neural network model alone and, in addition, determine which of three change-point detection methods performs better. Furthermore, we evaluate whether the proposed models play a role in clustering to reflect the time. Finally, this study examines the predictability of the integrated neural network models based on change-point detection.

[1]  L. A. Gardner On Detecting Changes in the Mean of Normal Variates , 1969 .

[2]  Maurice Larrain Testing Chaos and Nonlinearities in T-Bill Rates , 1991 .

[3]  Toshinori Munakata,et al.  Knowledge discovery , 1999, Commun. ACM.

[4]  E. S. Page A test for a change in a parameter occurring at an unknown point , 1955 .

[5]  G. Chow Tests of equality between sets of coefficients in two linear regressions (econometrics voi 28 , 1960 .

[6]  D. Hawkins Testing a Sequence of Observations for a Shift in Location , 1977 .

[7]  Anthony N. Pettitt,et al.  A simple cumulative sum type statistic for the change-point problem with zero-one observations , 1980 .

[8]  Anthony N. Pettitt Some results on estimating a change-point using non-parametric type statistics , 1980 .

[9]  Ingoo Han,et al.  Using change-point detection to support artificial neural networks for interest rates forecasting , 2000 .

[10]  Eric M. Leeper,et al.  The Dynamic Impacts of Monetary Policy: An Exercise in Tentative Identification , 1994, Journal of Political Economy.

[11]  R. Quandt Tests of the Hypothesis That a Linear Regression System Obeys Two Separate Regimes , 1960 .

[12]  J. Scott Armstrong,et al.  Evaluation of Extrapolative Forecasting Methods: Results of a Survey of Academicians and Practitioners , 1982 .

[13]  Lawrence J. Christiano,et al.  The Effects of Monetary Policy Shocks: Some Evidence from the Flow of Funds , 1996 .

[14]  Eric M. Leeper,et al.  Narrative and VAR Approaches to Monetary Policy: Common Identification Problems , 1996 .

[15]  Han-Lin Li,et al.  A piecewise regression analysis with automatic change-point detection , 1999, Intell. Data Anal..

[16]  D. Hinkley Inference in Two-Phase Regression , 1971 .

[17]  Gwo-Hshiung Tzeng,et al.  A general piecewise necessity regression analysis based on linear programming , 1999, Fuzzy Sets Syst..

[18]  D. L. Hawkins A u-i approach to retrospective testing for shifting parameters in a linear model , 1989 .

[19]  S. Zacks,et al.  Test Procedures for Possible Changes in Parameters of Statistical Distributions Occurring at Unknown Time Points , 1966 .

[20]  Olaf Wolkenhauer,et al.  Possibilistic Testing of Distribution Functions for Change Detection , 1997, Intell. Data Anal..

[21]  M. Srivastava,et al.  On Tests for Detecting Change in Mean , 1975 .

[22]  D. Andrews Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation , 1991 .

[23]  Steven Strongin,et al.  The identification of monetary policy disturbances: explaining the liquidity puzzle , 1995 .

[24]  A. Pettitt A Non‐Parametric Approach to the Change‐Point Problem , 1979 .

[25]  Carlo A. Favero,et al.  Information from Financial Markets and VAR Measures of Monetary Policy , 1998 .

[26]  Chia-Shang James Chu,et al.  A Direct Test for Changing Trend , 1992 .

[27]  Fred L. Collopy,et al.  Error Measures for Generalizing About Forecasting Methods: Empirical Comparisons , 1992 .

[28]  Spyros Makridakis,et al.  Accuracy measures: theoretical and practical concerns☆ , 1993 .