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AMR is a newly-formed math organization whose officers hold views antithetical to diversity and inclusion. For the sake of the field of mathematics, please do not encourage this organization in any way.

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I will try to now and then post some pictures that remind me of great times in my career. This is a picture that I featured in my office for more than a decade!

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I have joined the Board of Advisors for the Institute for Mathematical and Statistical Innovation (IMSI).

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After more than 20 fantastic years at Sandia, I am calling it quits this coming summer. I am forever indebted to my wonderful Sandia colleagues, past and present, who made my years at Sandia incredibly rewarding. I will be an independent researcher and consultant under the auspices of my business called MathSci.ai.

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LIVERMORE, Calif. - Tamara Kolda of Sandia National Laboratories has spent a career finding mathematical patterns in data sets ranging from mouse neurons to crime statistics, so when she talks about how ‘magical’ the results seem, even experts in other fields take notice. olda was one of 87 members elected to the National Academy of Engineering this year - one of a handful of mathematicians ever granted membership.

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Talks & Travel

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Recent Publications

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Streaming Generalized Canonical Polyadic Tensor Decompositions

arXiv, 2021

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Randomized Algorithms for Scientific Computing (RASC)

arXiv, 2021

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Practical Leverage-Based Sampling for Low-Rank Tensor Decomposition

arXiv, 2020

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Stochastic Gradients for Large-Scale Tensor Decomposition

SIAM Journal on Mathematics of Data Science, 2020

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Faster Johnson-Lindenstrauss Transforms via Kronecker Products

Information and Inference: A Journal of the IMA, 2020

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Mathematics: The Tao of Data Science

Harvard Data Science Review, 2020

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Estimating Higher-Order Moments Using Symmetric Tensor Decomposition

SIAM Journal on Matrix Analysis and Applications, 2020

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TuckerMPI: A Parallel C++/MPI Software Package for Large-scale Data Compression via the Tucker Tensor Decomposition

ACM Transactions on Mathematical Software, 2020

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Generalized Canonical Polyadic Tensor Decomposition

SIAM Review, 2020

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Software for Sparse Tensor Decomposition on Emerging Computing Architectures

SIAM Journal on Scientific Computing, 2019

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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