JANA Partners, a leading activist hedge fund firm run by Barry Rosenstein, has taken a liking to two of the most beaten-up technology stocks. JANA, which oversees more than $4 billion in U.S. stock holdings, disclosed stakes of 24.6 million Zynga Inc class A shares and 21.9 million Groupon Inc class A shares in regulatory filings on Wednesday. The positions represent just over 3 percent of the companies' outstanding shares. The Groupon stake was worth $134 million as of the end of March, while the Zynga holding was valued at $86 million, according to the filings. Zynga shares rose 1.6 percent to $3.39 in afternoon trading, after gaining more than 7 percent earlier in the day. Groupon edged up 1.2 percent to $6.97, after achieving a nine-month high of $7.38 earlier on Wednesday. Groupon, the world's largest daily deal company, and Zynga, a leading social game developer, went public in 2011 at lofty valuations, but their share prices have slumped since then amid concern