At less than half the age of its leading competitors, D.E. Shaw and Renaissance Technologies, Two Sigma is one of the most profitable and best performing quant-based hedge funds in the world. The firm, headquartered in Manhattan's chic SoHo neighborhood, has soared since joining Alpha's Hedge Fund 100 ranking in 2011; firm-wide assets have nearly tripled since 2009. The rapid growth in size has translated to a significant expansion of the firm's fortunes — Fees can be as high as 30 percent, exceeding the industry standard 20 percent fee charged on performance gains. The main drivers of Two Sigma's success are its innovative proprietary technology and data analysis systems…