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Tensor Decompositions for Data Science

Cambridge University Press, 2025

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Unlocking LaTeX Graphics: A Concise Guide to TikZ and PGFPLOTS

https://latex-graphics.com, 2024

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Tensor Decomposition Meets RKHS: Efficient Algorithms for Smooth and Misaligned Data

arXiv, 2024

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Scalable Symmetric Tucker Tensor Decomposition

SIAM Journal on Matrix Analysis and Applications, 2024

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Convergence of Alternating Gradient Descent for Matrix Factorization

In Advances in Neural Information Processing Systems 36 (NeurIPS 2023), 2023

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Automating Conference Scheduling with Genetic Algorithms at CSE23 and Beyond

SIAM News, 2023

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Streaming Generalized Canonical Polyadic Tensor Decompositions

In Proceedings of Platform for Advanced Scientific Computing (PASC’23) Conference, 2023

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Introducing the New SIAM Activity Group on Equity, Diversity, and Inclusion

SIAM News, 2023

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Illustrating the Impact of the Mathematical Sciences (Poster Series)

National Academies Website, 2023

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Practical Leverage-Based Sampling for Low-Rank Tensor Decomposition

SIAM J. Matrix Analysis and Applications, 2022

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Tensor Moments of Gaussian Mixture Models: Theory and Applications

arXiv, 2022

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Sketching Matrix Least Squares via Leverage Scores Estimates

arXiv, 2022

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Randomized Algorithms for Scientific Computing (RASC)

arXiv, 2021

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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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Introduction to SIAM Journal on Mathematics of Data Science (SIMODS)

SIAM Journal on Mathematics of Data Science, 2019

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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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Diamond Sampling for Approximate Maximum All-pairs Dot-product (MAD) Search

In ICDM 2015: Proceedings of the 2015 IEEE International Conference on Data Mining, 2015

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Newton-Based Optimization for Kullback-Leibler Nonnegative Tensor Factorizations

Optimization Methods and Software, 2015

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Numerical Optimization for Symmetric Tensor Decomposition

Mathematical Programming B, 2015

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Symmetric Orthogonal Tensor Decomposition is Trivial

arXiv, 2015

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An Adaptive Shifted Power Method for Computing Generalized Tensor Eigenpairs

SIAM Journal on Matrix Analysis and Applications, 2014

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Counting Triangles in Massive Graphs with MapReduce

SIAM Journal on Scientific Computing, 2014

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Exploiting Symmetry in Tensors for High Performance

SIAM Journal on Scientific Computing, 2014

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A Scalable Generative Graph Model with Community Structure

SIAM Journal on Scientific Computing, 2014

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Wedge Sampling for Computing Clustering Coefficients and Triangle Counts on Large Graphs

Statistical Analysis and Data Mining, 2014

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Using Triangles to Improve Community Detection in Directed Networks

In The Second ASE International Conference on Big Data Science and Computing, BigDataScience, 2014

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Accelerating Community Detection by Using K-core Subgraphs

arXiv, 2014

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Dynamics of Trust Reciprocation in Multi-relational Networks

In ASONAM ‘13: Proceedings of the 2013 IEEE/ACM International Conference on Advances in Social Networks Analysis and Mining, 2013

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Large-scale Network Analysis at SIAM CSE Conference

SIAM News, 2013

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Triadic Measures on Graphs: The Power of Wedge Sampling

In SDM13: Proceedings of the 2013 SIAM International Conference on Data Mining, 2013

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A Scalable Null Model for Directed Graphs Matching All Degree Distributions: In, Out, and Reciprocal

In NSW 2013: Proceedings of IEEE 2013 2nd International Network Science Workshop, 2013

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An In-Depth Analysis of Stochastic Kronecker Graphs

Journal of the ACM, 2013

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Degree Relations of Triangles in Real-world Networks and Graph Models

In CIKM’12: Proceedings of the 21st ACM International Conference on Information and Knowledge Management, 2013

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On Tensors, Sparsity, and Nonnegative Factorizations

SIAM Journal on Matrix Analysis and Applications, 2012

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Community Structure and Scale-free Collections of Erdos-Renyi Graphs

Physical Review E, 2012

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The Similarity between Stochastic Kronecker and Chung-Lu Graph Models

In SDM12: Proceedings of the 12th SIAM International Conference on Data Mining, 2012

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COMET: A Recipe for Learning and Using Large Ensembles on Massive Data

In ICDM 2011: Proceedings of the 2011 IEEE International Conference on Data Mining, 2011

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An In-Depth Study of Stochastic Kronecker Graphs

In ICDM 2011: Proceedings of the 2011 IEEE International Conference on Data Mining, 2011

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Shifted Power Method for Computing Tensor Eigenpairs

SIAM Journal on Matrix Analysis and Applications, 2011

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Multilinear Algebra for Analyzing Data with Multiple Linkages

In Graph Algorithms in the Language of Linear Algebra, 2011

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All-at-once Optimization for Coupled Matrix and Tensor Factorizations

In MLG’11: Proceedings of Mining and Learning with Graphs, 2011

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Efficiently Computing Tensor Eigenvalues on a GPU

In IPDPSW’11: Proceedings of the 2011 IEEE International Symposium on Parallel and Distributed Processing Workshops and PhD Forum, 2011

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Top Ten Ways to Lose an Audience

SIAM News, 2011

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Making Tensor Factorizations Robust to Non-Gaussian Noise

Tech. Rep., Sandia National Laboratories, 2011

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Scalable Tensor Factorizations for Incomplete Data

Chemometrics and Intelligent Laboratory Systems, 2011

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Temporal Link Prediction using Matrix and Tensor Factorizations

ACM Transactions on Knowledge Discovery from Data, 2011

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A Scalable Optimization Approach for Fitting Canonical Tensor Decompositions

Journal of Chemometrics, 2011

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Making Tensor Factorizations Robust to Non-Gaussian Noise

In NIPS Workshop on Tensors, Kernels, and Machine Learning, 2010

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Scalable Tensor Factorizations with Missing Data

In SDM10: Proceedings of the 2010 SIAM International Conference on Data Mining, 2010

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Nonlinearly-constrained Optimization Using Heuristic Penalty Methods and Asynchronous Parallel Generating Set Search

Applied Mathematics Research eXpress, 2010

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Poblano v1.0: A Matlab Toolbox for Gradient-Based Optimization

Tech. Rep., Sandia National Laboratories, 2010

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Link Prediction on Evolving Data using Matrix and Tensor Factorizations

In ICDMW’09: Proceedings of the 2009 IEEE International Conference on Data Mining Workshops, 2009

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Generalized BadRank with Graduated Trust

Tech. Rep., Sandia National Laboratories, 2009

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Tensor Decompositions and Applications

SIAM Review, 2009

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Asynchronous Parallel Hybrid Optimization Combining DIRECT and GSS

Optimization Methods and Software, 2009

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Mathematical Challenges in Cybersecurity

Tech. Rep., Sandia National Laboratories, 2009

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Scalable Tensor Decompositions for Multi-aspect Data Mining

In ICDM 2008: Proceedings of the 8th IEEE International Conference on Data Mining, 2008

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CPOPT: Optimization for Fitting CANDECOMP/PARAFAC Models (extended abstact)

In CASTA 2008: Workshop on Computational Algebraic Statistics, Theories and Applications, 2008

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Concurrent Optimization with DUET: DIRECT Using External Trial Points

Tech. Rep., Sandia National Laboratories, 2008

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Multi-way Data Analysis and Applications (extended abstract)

In Proceedings of the 2008 Sandia Workshop on Data Mining and Data Analysis, 2008

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Asynchronous Parallel Generating Set Search For Linearly-Constrained Optimization

SIAM Journal on Scientific Computing, 2008

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A Comparison of Derivative-Free Optimization Methods for Groundwater Supply and Hydraulic Capture Community Problems

Advances in Water Resources, 2008

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Resolving the Sign Ambiguity in the Singular Value Decomposition

Journal of Chemometrics, 2008

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Efficient MATLAB Computations with Sparse and Factored Tensors

SIAM Journal on Scientific Computing, 2007

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Extracting Clusters from Large Datasets with Multiple Similarity Measures Using IMSCAND

In CSRI Summer Proceedings 2007, 2007

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Temporal Analysis of Semantic Graphs using ASALSAN

In ICDM 2007: Proceedings of the 7th IEEE International Conference on Data Mining, 2007

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Cross-language Information Retrieval using PARAFAC2

In KDD ‘07: Proceedings of the 13th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, 2007

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First BGCE Student Prize in CSE

SIAM News, 2007

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Mining Large Graphs and Streams using Matrix and Tensor Tools (extended abstract)

In SIGMOD ‘07: Proceedings of the 2007 ACM SIGMOD international conference on Management of data, 2007

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Algorithm 862: MATLAB Tensor Classes for Fast Algorithm Prototyping

ACM Transactions on Mathematical Software, 2006

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Stationarity Results for Generating Set Search for Linearly Constrained Optimization

SIAM Journal on Optimization, 2006

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DAKOTA, a Multilevel Parallel Object-oriented Framework for Design Optimization, Parameter Estimation, Uncertainty Quantification, and Sensitivity Analysis: Version 4.0 Reference Manual

Tech. Rep., Sandia National Laboratories, 2006

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Algorithm 856: APPSPACK 4.0: Asynchronous Parallel Pattern Search for Derivative-Free Optimization

ACM Transactions on Mathematical Software, 2006

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A Generating Set Direct Search Augmented Lagrangian Algorithm for Optimization with a Combination of General and Linear Constraints

Tech. Rep., Sandia National Laboratories, 2006

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A Parallel, Asynchronous Method for Derivative-Free Nonlinear Programs (extended abstract)

In Mathematical Software - ICMS 2006, 2006

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Multilinear Operators for Higher-order Decompositions

Tech. Rep., Sandia National Laboratories, 2006

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The TOPHITS Model for Higher-order Web Link Analysis

In Proceedings of Link Analysis, Counterterrorism and Security 2006, 2006

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Revisiting Asynchronous Parallel Pattern Search for Nonlinear Optimization

SIAM Journal on Optimization, 2005

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Robust Large-scale Parallel Nonlinear Solvers for Simulations

Tech. Rep., Sandia National Laboratories, 2005

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Higher-Order Web Link Analysis Using Multilinear Algebra

In ICDM 2005: Proceedings of the 5th IEEE International Conference on Data Mining, 2005

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An Overview of the Trilinos Project

ACM Transactions on Mathematical Software, 2005

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Data Sciences Technology for Homeland Security Information Management and Knowledge Discovery: DHS Workshop on Data Sciences

Tech. Rep., Sandia National Laboratories, 2005

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An Unexpected Turn

In Complexities: Women in Mathematics, 2005

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Optimizing an Empirical Scoring Function for Transmembrane Protein Structure Determination

INFORMS Journal on Computing, 2004

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Parallel Optimization of Forging Processes for Optimal Material Properties

In NUMIFORM 2004: Proceedings of the 8th International Conference on Numerical Methods in Industrial Forming Processes, 2004

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On the Threshold of a New Era for Parallel Computing

SIAM News, 2004

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On the Convergence of Asynchronous Parallel Pattern Search

SIAM Journal on Optimization, 2004

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

SIAM Review, 2003

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Understanding Asynchronous Parallel Pattern Search

In High Performance Algorithms and Software for Nonlinear Optimization, 2003

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A Counterexample to the Possibility of an Extension of the Eckart-Young Low-rank Approximation Theorem for the Orthogonal Rank Tensor Decomposition

SIAM Journal on Matrix Analysis and Applications, 2003

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Orthogonal Tensor Decompositions

SIAM Journal on Matrix Analysis and Applications, 2001

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Hidden Markov Models for Chromosome Identification

In CBMS 2001: Proceedings of the 14th IEEE Symposium on Computer-Based Medical Systems, 2001

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Asynchronous Parallel Pattern Search for Nonlinear Optimization

SIAM Journal on Scientific Computing, 2001

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Graph Partitioning Models for Parallel Computing

Parallel Computing, 2000

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Chromosome Identification Using Hidden Markov Models: Comparison with Neural Networks, Singular Value Decomposition, Principal Components Analysis, and Fisher Discriminant Analysis

Laboratory Investigation, 2000

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Algorithm 805: Computation and Uses of the Semidiscrete Matrix Decomposition

ACM Transactions on Mathematical Software, 2000

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Usage Manual for APPSPACK 2.0

Tech. Rep., Sandia National Laboratories, 2000

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Partitioning Rectangular and Structurally Unsymmetric Sparse Matrices for Parallel Processing

SIAM Journal on Scientific Computing, 2000

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New Term Weighting Formulas for the Vector Space Method in Information Retrieval

Tech. Rep., Oak Ridge National Laboratory, 1999

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Latent Semantic Indexing Via a Semi-discrete Matrix Decomposition

In The Mathematics of Information Coding, Extraction and Distribution, 1999

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BFGS with Update Skipping and Varying Memory

SIAM Journal on Optimization, 1998

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A Semidiscrete Matrix Decomposition for Latent Semantic Indexing Information Retrieval

ACM Transactions on Information Systems, 1998

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Partitioning Sparse Rectangular Matrices for Parallel Processing

In Solving Irregularly Structured Problems in Parallel, 1998

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Partitioning Sparse Rectangular Matrices for Parallel Computations of $Ax$ and $A^Tv$

In Applied Parallel Computing Large Scale Scientific and Industrial Problems, 1998

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Limited-Memory Matrix Methods with Applications

Applied Mathematics Program, University of Maryland, College Park, 1997

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Matching Permuted Variables in Two or More Data Sets

Tech. Rep., Center for Research in Scientific Computation, North Carolina State University, 1996

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The NAS Parallel Conjugate Gradient Benchmark on the Cray T3D

Tech. Rep., Supercomputing Research Center, Bowie, MD, 1994

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