Title
Structured Learning of Sum-of-Submodular Higher Order Energy Functions
Abstract
Sub modular functions can be exactly minimized in polynomial time, and the special case that graph cuts solve with max flow [19] has had significant impact in computer vision [5, 21, 28]. In this paper we address the important class of sum-of-sub modular (SoS) functions [2, 18], which can be efficiently minimized via a variant of max flow called sub modular flow [6]. SoS functions can naturally express higher order priors involving, e.g., local image patches, however, it is difficult to fully exploit their expressive power because they have so many parameters. Rather than trying to formulate existing higher order priors as an SoS function, we take a discriminative learning approach, effectively searching the space of SoS functions for a higher order prior that performs well on our training set. We adopt a structural SVM approach [15, 34] and formulate the training problem in terms of quadratic programming, as a result we can efficiently search the space of SoS priors via an extended cutting-plane algorithm. We also show how the state-of-the-art max flow method for vision problems [11] can be modified to efficiently solve the sub modular flow problem. Experimental comparisons are made against the OpenCV implementation of the Grab Cut interactive segmentation technique [28], which uses hand-tuned parameters instead of machine learning. On a standard dataset [12] our method learns higher order priors with hundreds of parameter values, and produces significantly better segmentations. While our focus is on binary labeling problems, we show that our techniques can be naturally generalized to handle more than two labels.
Year
DOI
Venue
2013
10.1109/ICCV.2013.385
international conference on computer vision
Keywords
DocType
Volume
state-of-the-art max flow method,sum-of-submodular higher order energy,higher order prior,higher order,sos function,computer vision,sub modular function,max flow,sub modular flow problem,sos prior,structured learning,sub modular flow,learning artificial intelligence,quadratic programming,image segmentation,support vector machines
Conference
abs/1309.7512
Issue
ISSN
Citations 
1
1550-5499
11
PageRank 
References 
Authors
0.53
30
4
Name
Order
Citations
PageRank
Alexander Fix1854.11
Thorsten Joachims2173871254.06
Sung Min Park38017.22
Ramin Zabih412976982.19