# Robert Calderbank

- Professor of Mathematics

**External address:**140 Science Drive, 317 Gross Hall, Durham, NC 27708

**Internal office address:**Campus Box 90984, 140 Science Drive, Durham, NC 27708

**Phone:**(919) 613-7874

### Research Areas and Keywords

##### Algebra & Combinatorics

##### Analysis

##### Computational Mathematics

##### Number Theory

##### Physical Modeling

##### Probability

##### Signals, Images & Data

Robert Calderbank is Director of the Information Initiative at Duke University, where he is Professor of Electrical Engineering, Computer Science and Mathematics. He joined Duke in 2010, completed a 3 year term as Dean of Natural Sciences in August 2013, and also served as Interim Director of the Duke Initiative in Innovation and Entrepreneurship in 2012. Before joining Duke he was Professor of Electrical Engineering and Mathematics at Princeton University where he also directed the Program in Applied and Computational Mathematics.

Before joining Princeton University Dr. Calderbank was Vice President for Research at AT&T. As Vice President for Research he managed AT&T intellectual property, and he was responsible for licensing revenue. AT&T Labs was the first of a new type of research lab where masses of data generated by network services became a giant sandbox in which fundamental discoveries in information science became a source of commercial advantage

At Duke, Dr. Calderbank works with researchers from the Duke Center for Autism and Brain Development, developing information technology that is able to capture a full spectrum of behavior in very young children. By supporting more consistent and cost-effective early diagnosis, the team is increasing the opportunity for early interventions that have proven very effective.

At the start of his career at Bell Labs, Dr. Calderbank developed voiceband modem technology that was widely licensed and incorporated in over a billion devices. Voiceband means the signals are audible so these modems burped and squeaked as they connected to the internet. One of these products was the AT&T COMSPHERE^{®} modem which was the fastest modem in the world in 1994 – at 33.6kb/s!

Together with Peter Shor and colleagues at AT&T Labs Dr. Calderbank developed the group theoretic framework for quantum error correction. This framework changed the way physicists view quantum entanglement, and provided the foundation for fault tolerant quantum computation.

Dr. Calderbank has also developed technology that improves the speed and reliability of wireless communication by correlating signals across several transmit antennas. Invented in 1996, this *space-time coding* technology has been incorporated in a broad range of 3G, 4G and 5G wireless standards. He served on the Technical Advisory Board of Flarion Technologies a wireless infrastructure company founded by Rajiv Laroia and acquired by Qualcomm for $1B in 2008.

Dr. Calderbank is an IEEE Fellow and an AT&T Fellow, and he was elected to the National Academy of Engineering in 2005. He received the 2013 IEEE Hamming Medal for contributions to coding theory and communications and the 2015 Shannon Award.

### Selected Grants

Optimal Online Data-Driven Optimization with Multiple Time-Varying Non-Convex Objectives awarded by Defense Advanced Research Projects Agency (Co-Principal Investigator). 2018 to 2919

CIF:Small:High Performance Memories that Integrate Coding and Computer Architecture awarded by National Science Foundation (Principal Investigator). 2017 to 2020

Modern Tools for Classification and Clustering awarded by Princeton University (Principal Investigator). 2017 to 2020

Oak Ridge National Lab GO Program awarded by Oak Ridge National Laboratory (Principal Investigator). 2014 to 2019

Planning IUCRC Duke University: Center for Alternative Sustainable and Intelligent Computing awarded by National Science Foundation (Co-Principal Investigator). 2017 to 2018

SHF:Small:Using Coding Theory to Optimize the Representation of Information in Computer Architecture awarded by National Science Foundation (Co-Principal Investigator). 2014 to 2018

Wide-Area Persistent Energy-Efficient Maritime Sensing awarded by Office of Naval Research (Principal Investigator). 2013 to 2016

Discovery of Empirical Components by Information Theory, Random Matrix Theory, and Computational Topology awarded by Princeton University (Co-Principal Investigator). 2013 to 2016

X-Ray Scatter and Phase Imaging for Explosive Detection awarded by US Department of Homeland Security (Co-Principal Investigator). 2011 to 2015

Photon-limited Sensing and Surveillance awarded by Air Force Office of Scientific Research (Principal Investigator). 2011 to 2014

Calderbank, R, and Jafarpour, S. "Finding needles in compressed haystacks." *Compressed Sensing: Theory and Applications.* January 1, 2009. 439-484.
Full Text

Wang, L, Chen, M, Rodrigues, M, Wilcox, D, Calderbank, R, and Carin, L. "Information-Theoretic Compressive Measurement Design." *IEEE transactions on pattern analysis and machine intelligence* 39.6 (June 2017): 1150-1164.
Full Text

Campbell, K, Carpenter, KLH, Espinosa, S, Hashemi, J, Qiu, Q, Tepper, M, Calderbank, R, Sapiro, G, Egger, HL, Baker, JP, and Dawson, G. "Use of a Digital Modified Checklist for Autism in Toddlers - Revised with Follow-up to Improve Quality of Screening for Autism." *The Journal of pediatrics* 183 (April 2017): 133-139.e1.
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Thompson, A, Robles, FE, Wilson, JW, Deb, S, Calderbank, R, and Warren, WS. "Dual-wavelength pump-probe microscopy analysis of melanin composition." *Scientific reports* 6 (November 11, 2016): 36871-.
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Vahid, A, and Calderbank, R. "Two-User Erasure Interference Channels With Local Delayed CSIT." *IEEE Transactions on Information Theory* 62.9 (September 2016): 4910-4923.
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Sokolic, J, Renna, F, Calderbank, R, and Rodrigues, MRD. "Mismatch in the Classification of Linear Subspaces: Sufficient Conditions for Reliable Classification." *IEEE Transactions on Signal Processing* 64.12 (June 2016): 3035-3050.
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Qiu, Q, Thompson, A, Calderbank, R, and Sapiro, G. "Data Representation Using the Weyl Transform." *IEEE Transactions on Signal Processing* 64.7 (April 2016): 1844-1853.
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Huang, J, Qiu, Q, and Calderbank, R. "The Role of Principal Angles in Subspace Classification." *IEEE Transactions on Signal Processing* 64.8 (April 2016): 1933-1945.
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Carpenter, KLH, Sprechmann, P, Calderbank, R, Sapiro, G, and Egger, HL. "Quantifying Risk for Anxiety Disorders in Preschool Children: A Machine Learning Approach." *PloS one* 11.11 (January 2016): e0165524-.
Full Text

Bajwa, WU, Duarte, MF, and Calderbank, R. "Conditioning of Random Block Subdictionaries With Applications to Block-Sparse Recovery and Regression." *IEEE Transactions on Information Theory* 61.7 (July 2015): 4060-4079.
Full Text

Nokleby, M, Rodrigues, M, and Calderbank, R. "Discrimination on the Grassmann Manifold: Fundamental Limits of Subspace Classifiers." *IEEE Transactions on Information Theory* 61.4 (April 2015): 2133-2147.
Full Text

## Pages

Cnaan-On, I, Harms, A, Krolik, JL, and Calderbank, AR. "Run-length limited codes for backscatter communication." June 16, 2017. Full Text

Hadani, R, Rakib, S, Tsatsanis, M, Monk, A, Goldsmith, AJ, Molisch, AF, and Calderbank, R. "Orthogonal time frequency space modulation." May 10, 2017. Full Text

Reboredo, H, Renna, F, Calderbank, R, and Rodrigues, MRD. "Bounds on the Number of Measurements for Reliable Compressive Classification." November 15, 2016. Full Text

Renna, F, Wang, L, Yuan, X, Yang, J, Reeves, G, Calderbank, R, Carin, L, and Rodrigues, MRD. "Classification and Reconstruction of High-Dimensional Signals From Low-Dimensional Features in the Presence of Side Information." November 2016. Full Text

Kumar, S, Calderbank, R, and Pfister, HD. "Beyond double transitivity: Capacity-achieving cyclic codes on erasure channels." October 21, 2016. Full Text

Mappouras, G, Vahid, A, Calderbank, R, and Sorin, DJ. "Methuselah flash: Rewriting codes for extra long storage lifetime." September 29, 2016. Full Text

Nokleby, M, Beirami, A, and Calderbank, R. "Rate-distortion bounds on Bayes risk in supervised learning." August 10, 2016. Full Text

Vahid, A, and Calderbank, R. "When does spatial correlation add value to delayed channel state information?." August 10, 2016. Full Text

Wang, L, Renna, F, Yuan, X, Rodrigues, M, Calderbank, R, and Carin, L. "A general framework for reconstruction and classification from compressive measurements with side information." May 18, 2016. Full Text

Beirami, A, Calderbank, R, Christiansen, M, Duffy, K, Makhdoumi, A, and Medard, M. "A geometric perspective on guesswork." April 4, 2016. Full Text

## Pages

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