Recent Posts

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Deadlines coming soon for Sandia’s three named postdocs: Truman, Hruby, von Neumann.

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I recreated the page from a standard engineering computation pad for use with electronic note-taking systems.

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SIAM has launched a new journal on the Mathematics of Data Science, and it is now taking submissions.

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I have been re-elected to a third term on the SIAM Board of Trustees. Thanks to all SIAM members who voted in the election - your participation matters! The Board is a largely invisible but important part of SIAM because they are responsible for the management of SIAM. In fact, they are the body that has full legal control of SIAM funds, investments, and properties. The board comprises nine elected members along with the SIAM President, SIAM Treasurer, and two appointees (determined by the Board).

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Sometimes the term sparse is used to refer to a matrix that has a large fraction of missing entries, but the more typical usage of that term is to refer to a matrix that has a large fraction of zero entries. We instead recommend the term scarce for a large amount of missing data and discuss various scenarios.

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Talks and Other Events

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Recent Publications

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Software for Sparse Tensor Decomposition on Emerging Computing Architectures

arXiv, 2018

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Generalized Canonical Polyadic Tensor Decomposition

arXiv, 2018

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XPCA: Extending PCA for a Combination of Discrete and Continuous Variables

arXiv, 2018

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A Practical Randomized CP Tensor Decomposition

SIAM Journal on Matrix Analysis and Applications, 2018

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Unsupervised Discovery of Demixed, Low-dimensional Neural Dynamics across Multiple Timescales through Tensor Components Analysis

Neuron, 2018

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An Improved Hyperbolic Embedding Algorithm

Journal of Complex Networks, 2017

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Triangular Alignment (TAME): A Tensor-based Approach for Higher-order Network Alignment

IEEE/ACM Transactions on Computational Biology and Bioinformatics, 2017

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Measuring and Modeling Bipartite Graphs with Community Structure

Journal of Complex Networks, 2017

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Parallel Tensor Compression for Large-Scale Scientific Data

In IPDPS’16: Proceedings of the 30th IEEE International Parallel and Distributed Processing Symposium, 2016

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Directed Closure Measures for Networks with Reciprocity

Journal of Complex Networks, 2016

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Selected Older Publications

Tensor Decompositions and Applications

SIAM Review, 2009

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Algorithm 862: MATLAB Tensor Classes for Fast Algorithm Prototyping

ACM Transactions on Mathematical Software, 2006

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An Overview of the Trilinos Project

ACM Transactions on Mathematical Software, 2005

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Optimization by Direct Search: New Perspectives on Some Classical and Modern Methods

SIAM Review, 2003

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Orthogonal Tensor Decompositions

SIAM Journal on Matrix Analysis and Applications, 2001

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Graph Partitioning Models for Parallel Computing

Parallel Computing, 2000

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A Semidiscrete Matrix Decomposition for Latent Semantic Indexing Information Retrieval

ACM Transactions on Information Systems, 1998

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Software

  • FEASTPACK - MATLAB and C codes for graph analysis, including BTER code for graph generation and our wedge sampling technique for triangle counting
  • Poblano Toolbox for MATLAB - Large-scale algorithms for unconstrained nonlinear optimization
  • HOPSPACK - A C++ hybrid optimization parallel search package for derivative-free optimization
  • MET - Memory-efficient Tucker computation (requires Tensor Toolbox)
  • Tensor Toolbox for MATLAB - Higher-order operations of multidimensional arrays
  • NOX - A C++ Nonlinear Solver Package
  • Trilinos - A suite of high-performance numerical codes (including NOX)
  • APPSPACK - A C++ derivative-free optimization package
  • SDDPACK - C and MATLAB code for the semi-discrete matrix decomposition

Contact