Disclosure-free Discovery of Related Documents

1. Disclosure-free Discovery of Related Documents Chris Clifton MummoorthyMurugesan Wei Jiang Luo Si JaideepVaidya 18 September, 2009

2. Problem:Identifying Common Interests We have evidence that Osama Bin Laden has financed the purchase of Stinger Missiles in Afghanistan. … There have been reports from Kabul of financial transfers from Bin Laden, purportedly or the purchase of Stinger missiles … We have evidence that Osama Bin Laden has financed the purchase of Stinger Missiles in Afghanistan. … There have been reports from Kabul of financial transfers from Bin Laden, purportedly or the purchase of Stinger missiles … We have evidence that Osama Bin Laden has financed the purchase of Stinger Missiles in Afghanistan. … There have been reports from Kabul of financial transfers from Bin Laden, purportedly or the purchase of Stinger missiles … There have been reports from Kabul of financial transfers from Bin Laden, purportedly or the purchase of Stinger missiles …

3. Solution Overview Alice Bob We have evidence that Osama Bin Laden has financed the purchase of Stinger Missiles in Afghanistan. … There have been reports from Kabul of financial transfers from Bin Laden, purportedly or the purchase of Stinger missiles …

4. Secure Product:Random Matrix Vaidya and Clifton, Privacy Preserving Association Rule Mining in Vertically Partitioned Data, KDD02

5. Secure Product:Homomorphic Encryption Goethals, Laur, Lipmaa, and Mielikainen, On secure scalar product computation for privacy-preserving data mining,ICISC 2004

6. Is Performance an Issue? Alice Bob There have been reports from Kabul of financial transfers from Bin Laden, purportedly or the purchase of Stinger missiles … We have evidence that Osama Bin Laden has financed the purchase of Stinger Missiles in Afghanistan. … We have evidence that Osama Bin Laden has financed the purchase of Stinger Missiles in Afghanistan. … There have been reports from Kabul of financial transfers from Bin Laden, purportedly or the purchase of Stinger missiles … We have evidence that Osama Bin Laden has financed the purchase of Stinger Missiles in Afghanistan. … There have been reports from Kabul of financial transfers from Bin Laden, purportedly or the purchase of Stinger missiles … We have evidence that Osama Bin Laden has financed the purchase of Stinger Missiles in Afghanistan. … There have been reports from Kabul of financial transfers from Bin Laden, purportedly or the purchase of Stinger missiles … There have been reports from Kabul of financial transfers from Bin Laden, purportedly or the purchase of Stinger missiles … We have evidence that Osama Bin Laden has financed the purchase of Stinger Missiles in Afghanistan. … There have been reports from Kabul of financial transfers from Bin Laden, purportedly or the purchase of Stinger missiles … We have evidence that Osama Bin Laden has financed the purchase of Stinger Missiles in Afghanistan. … We have evidence that Osama Bin Laden has financed the purchase of Stinger Missiles in Afghanistan. … We have evidence that Osama Bin Laden has financed the purchase of Stinger Missiles in Afghanistan. …

7. Running Time(journal articles)

8. Faster: Local Clustering • Locally cluster similar documents • Secure protocol identifies similar clusters • Document comparison only within identified clusters There have been reports from Kabul of financial transfers from Bin Laden, purportedly or the purchase of Stinger missiles … We have evidence that Osama Bin Laden has financed the purchase of Stinger Missiles in Afghanistan. … We have evidence that Osama Bin Laden has financed the purchase of Stinger Missiles in Afghanistan. … There have been reports from Kabul of financial transfers from Bin Laden, purportedly or the purchase of Stinger missiles … We have evidence that Osama Bin Laden has financed the purchase of Stinger Missiles in Afghanistan. … We have evidence that Osama Bin Laden has financed the purchase of Stinger Missiles in Afghanistan. … There have been reports from Kabul of financial transfers from Bin Laden, purportedly or the purchase of Stinger missiles … We have evidence that Osama Bin Laden has financed the purchase of Stinger Missiles in Afghanistan. … There have been reports from Kabul of financial transfers from Bin Laden, purportedly or the purchase of Stinger missiles … We have evidence that Osama Bin Laden has financed the purchase of Stinger Missiles in Afghanistan. …

9. Savings / Loss from Clustering

10. Effectiveness:40% Document Overlap