Title
Train and Test Tightness of LP Relaxations in Structured Prediction.
Abstract
Structured prediction is used in areas including computer vision and natural language processing to predict structured outputs such as segmentations or parse trees. In these settings, prediction is performed by MAP inference or, equivalently, by solving an integer linear program. Because of the complex scoring functions required to obtain accurate predictions, both learning and inference typically require the use of approximate solvers. We propose a theoretical explanation for the striking observation that approximations based on linear programming (LP) relaxations are often tight (exact) on real-world instances. In particular, we show that learning with LP relaxed inference encourages integrality of training instances, and that this training tightness generalizes to test data.
Year
DOI
Venue
2019
10.17863/CAM.242
ICML
DocType
Volume
Issue
Journal
20
1
ISSN
Citations 
PageRank 
1532-4435
0
0.34
References 
Authors
0
4
Name
Order
Citations
PageRank
Ofer Meshi115412.94
Mehrdad Mahdavi2121365.15
Adrian Weller314127.59
David Sontag4178488.59