Graph computations, large sparse data computations, and matrix
computations - however these happen to intersect. Active research
projects include spectral graph theory, parameterized matrices,
overlapping graph partitions, graph modeling, network alignment,
recommender systems, and ranking.
- (new) Rank aggrevation via Nuclear Norm Minimization. David F. Gleich, Lek-heng Lim, arXiv:1102.4821, 23 Feburary 2011.
- (new) The power and Arnoldi methods in an algebra of circulants. David F. Gleich, Chen Greif, James M. Varah. arXiv:1101.2173, 11 January 2011.
- A factorization of the
spectral Galerkin system for parameterized matrix equations: derivation
and applications. Paul G. Constantine, David F. Gleich, and
Gianluca Iacarrino. arXiv:1006.3053, June 15th 2010
- Message Passing Algorithms for Network Alignment. Mohsen Bayati, David F. Gleich, Amin Saberi, and Ying Wang. arXiv:0907.3338,
July 20 2009 (to-be-updated March 2011).
- (new) Tall and Skinny QR factorizations in MapReduce architectures. Accepted MAPREDUCE2011, San Jose, June 2011.
- (new) Some computational tools for digital archive and metadata maintenance. Accepted BIT Numerical Mathematics.
- Fast Katz and Commuters: Efficient
Estimation of Social Relatedness. Pooya Esfandiar, Francesco
Bonchi, David F. Gleich, Chen Greif, Laks V. S. Lakshmanan, and
Byung-Won On, WAW2010.
- Random
Alpha PageRank. Paul G. Constantine and David F.
Gleich. Internet Mathematics 2010.
- Spectral Methods
for Parameterized Matrix Equations. Paul
G. Constantine, David F. Gleich, and Gianluca Iaccarino. SIMAX
2010.
- Tracking the
random surfer: Empirically measured teleportation probabilities in
PageRank. David F. Gleich, Paul G. Constantine, Abraham D.
Flaxman, and Asela Gunawardana. WWW2010.
- The Spectre of the Spectrum - SIAM CSE2011, Reno, February 2011
- Spectra of large networks - ICME Seminar, Stanford, February 2011
- Fast Katz and Commuters - UC Berkeley Linear Algebra Seminar, Berkeley, February 2011
- Two numerical graph algorithms - IBM Almaden, San Jose, January 2011
- Fast Katz and Commuters - WAW2010, Stanford, December 2010
- Fast
Katz and Commuters - ICME Seminar, Stanford, October 2010