The visual world demonstrates organized spatial patterns,
among objects or regions in a scene, object-parts
in an object, and low-level features in object-parts. These
classes of spatial structures are inherently hierarchical in
nature. Although seemingly quite different these spatial patterns
are simply manifestations of different levels in a hierarchy.
In this work, we present a unified approach to unsupervised
learning of hierarchical spatial structures from
a collection of images. Ours is a hierarchical rule-based
model capturing spatial patterns, where each rule is represented
by a star-graph. We propose an unsupervised EMstyle
algorithm to learn our model from a collection of images.
We show that the inference problem of determining
the set of learnt rules instantiated in an image is equivalent
to finding the minimum-cost Steiner tree in a directed
acyclic graph. We evaluate our approach on a diverse set
of data sets of object categories, natural outdoor scenes an...
Devi Parikh (Carnegie Mellon University), C. Lawre