1986-1991 University Research Initiative Program,
Center for Intelligent Control Systems (Brown-Harvard-MIT),
funded by the U.S. Army Research Office, Co-principal investigator with Sanjoy Mitter (MIT) and Roger Brockett (Harvard), (joint with W. Fleming, S. Geman, U. Grenander and H.J. Kushner in the Division of Applied Mathematics).

1988-1990 Office of Naval Research Contract,
A Mathematical Framework for Image Analysis
, Co-principal investigator with S. Geman and U. Grenander.

1989-1992 National Science Foundation Grant,
A Mathematical Framework for Image Analysis
, Co-principal investigator with S. Geman, B. Gidas and U. Grenander.

1988 Department of Defense University Research Instrumentation Grant,
Image Acquisition and Processing Equipment for Machine Vision
, Principal Investigator.

1989 National Science Foundation Grant,
Instructional Laboratory for Teaching Experimental Mathematics
, Co-principal investigator with U. Grenander.

1990-1992 Office of Naval Research Grant,
Mathematical Methods for Object Recognition
, Co-principal investigator with S. Geman, B. Gidas and U. Grenander.

1992-1997 University Research Initiative Program,
Foundations of Intelligent Systems
, Center for Intelligent Control Systems (Brown-Harvard-MIT), funded by the US Army Research Office, Co-principal investigator with Sanjoy Mitter (MIT) and Roger Brockett (Harvard), (joint with W. Fleming, S. Geman, B. Gidas, U. Grenander and H.J. Kushner in the Division of Applied Mathematics).

1992 National Science Foundation,
Mathematical Sciences Computing Research Environments
, Co-principal investigator with M. Maxey, L. Sirovich and C. Jones

1992-95 Office of Naval Research, Co-principal investigator with S. Geman, B. Gidas and U. Grenander, AASERT Grant for Graduate Student Support.

1992-95 US Army Research Office, Co-principal investigator with S. Geman, B. Gidas and U. Grenander, AASERT Grant for Graduate Student Support

1993-96 National Science Foundation,
Mathematical and Computational Problems in Object Recognition
, Co-principal investigator with S. Geman, B. Gidas and U. Grenander.

1993-96 US Army Research Office, Co-principal investigator with S. Geman, B. Gidas and U. Grenander, AASERT Grant for Graduate Student Support.

1993-1998 Advanced Research Projects Agency (ARPA),
Foundations of Object Detection and Recognition
, Co-principal investigator with S. Geman, B. Gidas and U. Grenander (PI).

1994-95 Department of Defense University Research Instrumentation Program,
Computational Resources for Image Modeling and Object Recognition
, Co-principal investigator with S. Geman, B. Gidas and U. Grenander.

1994-95 National Science Foundation Grant,
Acquisition of a Parallel Supercomputer
(funded in part the IBM SP2 acquisition in summer 1995), Co-principal investigator with G. Karniadakis, D. Gottlieb, M. Maxey, M. Ortiz, J. Savage and F. Preparata.

1995-2000 Department of Defense Focused Research Initiative,
Algorithms for Image Compression, Distributed Communication Networks and Distributed Resource Allocation
, Co-principal investigator with S. Geman, B. Gidas, U. Grenander and and S. Ghosh (Arizona State University).

1996-1999 National Science Foundation,
Mathematical Sciences Computing Research Environments
, Co-principal investigator with G. Karniadakis, D. Gottlieb, C. Jones, and M. Maxey.

1996-1997 Office of Naval Research,
Recognition Algorithms for Wide-Area Surveillance
, Co-principal investigator with S. Geman, B. Gidas, U. Grenander and and D. Geman (UMass).

1996-1998 Department of Defense University Research Instrumentation Program,
Network and Graphics Systems for Image Modeling
, Principal Investigator.

1996-2002 US Army Research Office,
Vision Strategies and ATR Performance: A Mathematical/Statistical Formulation and Critique
, Principal Investigator and Project Director, Co-principal investigator with S. Geman, B. Gidas, U. Grenander and D. Mumford, joint with Harvard, MIT, University of Chicago and UMass.

1997-1999 Office of Naval Research,
Mathematical Foundations for Object Recognition and Image Analysis
, Co-principal investigator with S. Geman, B. Gidas, U. Grenander and and D. Geman (UMass).

1997-2000 National Science Foundation,
Acquisition of a CAVE and Shared Memory Supercomputer
, Co-principal investigator with 12 other Brown University faculty.

2001-06 National Science Foundation,
Mathematical Analysis of the Compositional Structure of Images
, Co-principal investigator with S. Geman, B. Gidas, D. Mumford, U. Grenander and M. Johnson

2004-2006, National Science Foundation,
Enrichment and Integration of Networked Computing Resources for the Mathematical Sciences
, Principal Investigator; Co-principal investigators J. Hesthaven, S. Geman, C-W. Shu and G. Karniadakis.