Value-Directed Compression of Large-Scale Assignment Problems

Data-driven analytics—in areas ranging from consumer marketing to public policy—often allow behavior prediction at the level of individuals rather than population segments, offering the opportunity to improve decisions that impact large populations. Modeling such (generalized) assignment problems as linear programs, we propose a general value-directed compression technique for solving such problems at scale. We dynamically segment the population into cells using a form of column generation, constructing groups of individuals who can provably be treated identically in the optimal solution. This compression allows problems, unsolvable using standard LP techniques, to be solved effectively. Indeed, once a compressed LP is constructed, problems can solved in milliseconds. We provide a theoretical analysis of the methods, outline the distributed implementation of the requisite data processing, and show how a single compressed LP can be used to solve multiple variants of the original LP...

• Type: Journal
• Year: 2015
• Where: AAAI
• Authors: Tyler Lu, Craig Boutilier
• Keywords: AAAI 2015, Intelligent Agents