Weighted Moving Average Passive Aggressive Algorithm for Online Portfolio Selection

Passive aggressive algorithms for online portfolio selection, such as PAMR, were recently shown empirically to achieve state-of-the-art performance in various stock markets. Inspired by the multi-period mean reversion principle in Antic or Algorithm, we present a passive aggressive algorithm by introducing a moving averaged loss function and achieve a novel online portfolio selection strategy named "Weighted Moving Average Mean Reversion" (WMAMR). The strategy is able to effectively exploit the power of mean reversion for online portfolio selection. Extensive experiments on various real markets demonstrate the effectiveness of our strategy in comparison with PAMR, especially with transaction cost.

[1]  G. Iyengar.  UNIVERSAL INVESTMENT IN MARKETS WITH TRANSACTION COSTS , 2005 .

[2]  William T. Ziemba,et al.  Capital Growth Theory , 2011 .

[3]  Klaus Reiner Schenk-Hoppé,et al.  Capital Growth Theory , 2015 .

[4]  Wei-guo Zhang,et al.  ON-LINE PORTFOLIO SELECTION VIA MEAN REVERSION STRATEGY , 2012 .

[5]  Fabio Stella,et al.  Constant rebalanced portfolios and side-information , 2007 .

[6]  Allan Borodin,et al.  Can We Learn to Beat the Best Stock , 2003, NIPS.

[7]  Thomas M. Cover,et al.  Universal data compression and portfolio selection , 1996, Proceedings of 37th Conference on Foundations of Computer Science.

[8]  Weiguo Zhang,et al.  Passive Aggressive Algorithm for Online Portfolio Selection with Piecewise Loss Function , 2013, ADMA.

[9]  C H HoiSteven,et al.  Confidence Weighted Mean Reversion Strategy for Online Portfolio Selection , 2013 .

[10]  Bin Li,et al.  On-Line Portfolio Selection with Moving Average Reversion , 2012, ICML.

[11]  Koby Crammer,et al.  Online Passive-Aggressive Algorithms , 2003, J. Mach. Learn. Res..

[12]  Santosh S. Vempala,et al.  Efficient algorithms for universal portfolios , 2000, Proceedings 41st Annual Symposium on Foundations of Computer Science.

[13]  Thomas M. Cover,et al.  Empirical Bayes stock market portfolios , 1986 .

[14]  Steven C. H. Hoi,et al.  PAMR: Passive aggressive mean reversion strategy for portfolio selection , 2012, Machine Learning.

[15]  Ming Li,et al.  Efficient Mining of Gap-Constrained Subsequences and Its Various Applications , 2012, TKDD.

[16]  John L. Kelly,et al.  A new interpretation of information rate , 1956, IRE Trans. Inf. Theory.

[17]  Narasimhan Jegadeesh,et al.  Evidence of Predictable Behavior of Security Returns , 1990 .