ahmad@icsib18 (Subutai Ahmad) (07/18/90)
The following technical report is available: A Network for Extracting the Locations of Point Clusters Using Selective Attention by Subutai Ahmad & Stephen Omohundro International Computer Science Institute ICSI Technical Report #90-011 Abstract This report explores the problem of dynamically computing visual relations in connectionist systems. It concentrates on the task of learning whether three clumps of points in a 256x256 image form an equilateral triangle. We argue that feed-forward networks for solving this task would not scale well to images of this size. One reason for this is that local information does not contribute to the solution: it is necessary to compute relational information such as the distances between points. Our solution implements a mechanism for dynamically extracting the locations of the point clusters. It consists of an efficient focus of attention mechanism and a cluster detection scheme. The focus of attention mechanism allows the system to select any circular portion of the image in constant time. The cluster detector directs the focus of attention to clusters in the image. These two mechanisms are used to sequentially extract the relevant coordinates. With this new representation (locations of the points) very few training examples are required to learn the correct function. The resulting network is also very compact: the number of required weights is proportional to the number of input pixels. Copies can be obtained in one of two ways: 1) ftp a postscript copy from a.cs.uiuc.edu. The file is ahmad.tr90-11.ps.Z in the tmp directory. Here are directions in case you are unfamiliar with ftp: unix:2> ftp a.cs.uiuc.edu Connected to a.cs.uiuc.edu. Name (a.cs.uiuc.edu:): anonymous 331 Guest login ok, send ident as password. Password: ident 230 Guest login ok, access restrictions apply. ftp> cd tmp ftp> binary ftp> get ahmad.tr90-11.ps.Z ftp> quit unix:4> uncompress ahmad.tr90-11.ps.Z unix:5> lpr ahmad.tr90-11.ps 2) Order a hard copy from ICSI: The cost is $1.75 per copy for postage and handling. Please enclose your check with the order. Charges will be waived for ICSI sponsors and for institutions that have exchange agreements with the Institute. Make checks payable (in U.S. Dollars only) to "ICSI" and send to: International Computer Science Institute 1947 Center Street, Suite 600 Berkeley, CA 94704 Be sure to mention TR 90-011 and include your physical address. --Subutai Ahmad ahmad@icsi.berkeley.edu