Tensor Decomposition Meets RKHS: Efficient Algorithms for Smooth and Misaligned Data
B. W. Larsen, T. G. Kolda, A. R. Zhang, A. H. Williams
arXiv, 2024
Convergence of Alternating Gradient Descent for Matrix Factorization
R. Ward, T. G. Kolda
In Advances in Neural Information Processing Systems 36 (NeurIPS 2023), 2023
Streaming Generalized Canonical Polyadic Tensor Decompositions
E. T. Phipps, N. T. Johnson, T. G. Kolda
In Proceedings of Platform for Advanced Scientific Computing (PASC’23) Conference, 2023
Illustrating the Impact of the Mathematical Sciences (Poster Series)
T. G. Kolda, R. E. Caflisch, I. Fonseca, M. Fuentes, R. Garibaldi, T. Grandine, T. Jackson, X.-L. Meng, J. Pipher, T. Tao
National Academies Website, 2023
Randomized Algorithms for Scientific Computing (RASC)
A. Buluc, T. G. Kolda, S. M. Wild, M. Anitescu, A. DeGennaro, J. Jakeman, C. Kamath, R. Kannan, M. E. Lopes, P.-G. Martinsson, K. Myers, J. Nelson, J. M. Restrepo, C. Seshadhri, D. Vrabie, B. Wohlberg, S. J. Wright, C. Yang, P. Zwart
arXiv, 2021
TuckerMPI: A Parallel C++/MPI Software Package for Large-scale Data Compression via the Tucker Tensor Decomposition
G. Ballard, A. Klinvex, T. G. Kolda ACM Transactions on Mathematical Software, 2020
Unsupervised Discovery of Demixed, Low-dimensional Neural Dynamics across Multiple Timescales through Tensor Components Analysis
A. H. Williams, T. H. Kim, F. Wang, S. Vyas, S. I. Ryu, K. V. Shenoy, M. Schnitzer, T. G. Kolda, S. Ganguli Neuron, 2018
Triangular Alignment (TAME): A Tensor-based Approach for Higher-order Network Alignment
S. Mohammadi, D. F. Gleich, T. G. Kolda, A. Grama IEEE/ACM Transactions on Computational Biology and Bioinformatics, 2017
Parallel Tensor Compression for Large-Scale Scientific Data
W. Austin, G. Ballard, T. G. Kolda
In IPDPS’16: Proceedings of the 30th IEEE International Parallel and Distributed Processing Symposium, 2016
Diamond Sampling for Approximate Maximum All-pairs Dot-product (MAD) Search
G. Ballard, A. Pinar, T. G. Kolda, C. Seshadri
In ICDM 2015: Proceedings of the 2015 IEEE International Conference on Data Mining, 2015
Newton-Based Optimization for Kullback-Leibler Nonnegative Tensor Factorizations
S. Hansen, T. Plantenga, T. G. Kolda Optimization Methods and Software, 2015
An Adaptive Shifted Power Method for Computing Generalized Tensor Eigenpairs
T. G. Kolda, J. R. Mayo SIAM Journal on Matrix Analysis and Applications, 2014
Counting Triangles in Massive Graphs with MapReduce
T. G. Kolda, A. Pinar, T. Plantenga, C. Seshadhri, C. Task SIAM Journal on Scientific Computing, 2014
Exploiting Symmetry in Tensors for High Performance
M. D. Schatz, T.-M. Low, R. A. van de Geijn, T. G. Kolda SIAM Journal on Scientific Computing, 2014
A Scalable Generative Graph Model with Community Structure
T. G. Kolda, A. Pinar, T. Plantenga, C. Seshadhri SIAM Journal on Scientific Computing, 2014
Wedge Sampling for Computing Clustering Coefficients and Triangle Counts on Large Graphs
C. Seshadhri, A. Pinar, T. G. Kolda Statistical Analysis and Data Mining, 2014
Using Triangles to Improve Community Detection in Directed Networks
C. Klymko, D. F. Gleich, T. G. Kolda
In The Second ASE International Conference on Big Data Science and Computing, BigDataScience, 2014
Dynamics of Trust Reciprocation in Multi-relational Networks
A. Singhal, K. Subbian, J. Srivastava, T. G. Kolda, A. Pinar
In ASONAM ‘13: Proceedings of the 2013 IEEE/ACM International Conference on Advances in Social Networks Analysis and Mining, 2013
Triadic Measures on Graphs: The Power of Wedge Sampling
C. Seshadhri, A. Pinar, T. G. Kolda
In SDM13: Proceedings of the 2013 SIAM International Conference on Data Mining, 2013
A Scalable Null Model for Directed Graphs Matching All Degree Distributions: In, Out, and Reciprocal
N. Durak, T. G. Kolda, A. Pinar, C. Seshadhri
In NSW 2013: Proceedings of IEEE 2013 2nd International Network Science Workshop, 2013
Degree Relations of Triangles in Real-world Networks and Graph Models
N. Durak, A. Pinar, T. G. Kolda, C. Seshadhri
In CIKM’12: Proceedings of the 21st ACM International Conference on Information and Knowledge Management, 2013
The Similarity between Stochastic Kronecker and Chung-Lu Graph Models
A. Pinar, C. Seshadhri, T. G. Kolda
In SDM12: Proceedings of the 12th SIAM International Conference on Data Mining, 2012
COMET: A Recipe for Learning and Using Large Ensembles on Massive Data
J. D. Basilico, M. A. Munson, T. G. Kolda, K. R. Dixon, W. P. Kegelmeyer
In ICDM 2011: Proceedings of the 2011 IEEE International Conference on Data Mining, 2011
An In-Depth Study of Stochastic Kronecker Graphs
C. Seshadhri, A. Pinar, T. G. Kolda
In ICDM 2011: Proceedings of the 2011 IEEE International Conference on Data Mining, 2011
Multilinear Algebra for Analyzing Data with Multiple Linkages
D. M. Dunlavy, T. G. Kolda, W. P. Kegelmeyer
In Graph Algorithms in the Language of Linear Algebra, 2011
All-at-once Optimization for Coupled Matrix and Tensor Factorizations
E. Acar, T. G. Kolda, D. M. Dunlavy
In MLG’11: Proceedings of Mining and Learning with Graphs, 2011
Efficiently Computing Tensor Eigenvalues on a GPU
G. Ballard, T. G. Kolda, T. Plantenga
In IPDPSW’11: Proceedings of the 2011 IEEE International Symposium on Parallel and Distributed Processing Workshops and PhD Forum, 2011
Temporal Link Prediction using Matrix and Tensor Factorizations
D. M. Dunlavy, T. G. Kolda, E. Acar ACM Transactions on Knowledge Discovery from Data, 2011
Scalable Tensor Factorizations with Missing Data
E. Acar, D. M. Dunlavy, T. G. Kolda, M. Mørup
In SDM10: Proceedings of the 2010 SIAM International Conference on Data Mining, 2010
Nonlinearly-constrained Optimization Using Heuristic Penalty Methods and Asynchronous Parallel Generating Set Search
J. D. Griffin, T. G. Kolda Applied Mathematics Research eXpress, 2010
Link Prediction on Evolving Data using Matrix and Tensor Factorizations
E. Acar, D. M. Dunlavy, T. G. Kolda
In ICDMW’09: Proceedings of the 2009 IEEE International Conference on Data Mining Workshops, 2009
Scalable Tensor Decompositions for Multi-aspect Data Mining
T. G. Kolda, J. Sun
In ICDM 2008: Proceedings of the 8th IEEE International Conference on Data Mining, 2008
CPOPT: Optimization for Fitting CANDECOMP/PARAFAC Models (extended abstact)
E. Acar, D. M. Dunlavy, T. G. Kolda
In CASTA 2008: Workshop on Computational Algebraic Statistics, Theories and Applications, 2008
Concurrent Optimization with DUET: DIRECT Using External Trial Points
N. Goldberg, T. G. Kolda, A. S. Yoshimura
Tech. Rep., Sandia National Laboratories, 2008
Multi-way Data Analysis and Applications (extended abstract)
T. G. Kolda, B. W. Bader
In Proceedings of the 2008 Sandia Workshop on Data Mining and Data Analysis, 2008
Asynchronous Parallel Generating Set Search For Linearly-Constrained Optimization
J. D. Griffin, T. G. Kolda, R. M. Lewis SIAM Journal on Scientific Computing, 2008
A Comparison of Derivative-Free Optimization Methods for Groundwater Supply and Hydraulic Capture Community Problems
K. R. Fowler, J. P. Reese, C. E. Kees, J. E. Dennis, Jr., C. T. Kelley, C. T. Miller, C. Audet, A. J. Booker, G. Couture, R. W. Darwin, M. W. Farthing, D. E. Finkel, J. M. Gablonsky, G. Gray, T. G. Kolda Advances in Water Resources, 2008
Extracting Clusters from Large Datasets with Multiple Similarity Measures Using IMSCAND
T. M. Selee, T. G. Kolda, W. P. Kegelmeyer, J. D. Griffin
In CSRI Summer Proceedings 2007, 2007
Temporal Analysis of Semantic Graphs using ASALSAN
B. W. Bader, R. A. Harshman, T. G. Kolda
In ICDM 2007: Proceedings of the 7th IEEE International Conference on Data Mining, 2007
Cross-language Information Retrieval using PARAFAC2
P. A. Chew, B. W. Bader, T. G. Kolda, A. Abdelali
In KDD ‘07: Proceedings of the 13th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, 2007
Mining Large Graphs and Streams using Matrix and Tensor Tools (extended abstract)
C. Faloutsos, T. G. Kolda, J. Sun
In SIGMOD ‘07: Proceedings of the 2007 ACM SIGMOD international conference on Management of data, 2007
Stationarity Results for Generating Set Search for Linearly Constrained Optimization
T. G. Kolda, R. M. Lewis, V. Torczon SIAM Journal on Optimization, 2006
DAKOTA, a Multilevel Parallel Object-oriented Framework for Design Optimization, Parameter Estimation, Uncertainty Quantification, and Sensitivity Analysis: Version 4.0 Reference Manual
M. S. Eldred, A. A. Giunta, S. L. Brown, B. M. Adams, D. M. Dunlavy, J. P. Eddy, D. M. Gay, J. D. Griffin, W. E. Hart, P. D. Hough, T. G. Kolda, M. L. Martinez-Canales, L. P. Swiler, J.-P. Watson, P. J. Williams
Tech. Rep., Sandia National Laboratories, 2006
Algorithm 856: APPSPACK 4.0: Asynchronous Parallel Pattern Search for Derivative-Free Optimization
G. A. Gray, T. G. Kolda ACM Transactions on Mathematical Software, 2006
A Generating Set Direct Search Augmented Lagrangian Algorithm for Optimization with a Combination of General and Linear Constraints
T. G. Kolda, R. M. Lewis, V. Torczon
Tech. Rep., Sandia National Laboratories, 2006
A Parallel, Asynchronous Method for Derivative-Free Nonlinear Programs (extended abstract)
J. D. Griffin, T. G. Kolda
In Mathematical Software - ICMS 2006, 2006
Higher-Order Web Link Analysis Using Multilinear Algebra
T. G. Kolda, B. W. Bader, J. P. Kenny
In ICDM 2005: Proceedings of the 5th IEEE International Conference on Data Mining, 2005
An Overview of the Trilinos Project
M. A. Heroux, R. A. Bartlett, V. E. Howle, R. J. Hoekstra, J. J. Hu, T. G. Kolda, … ACM Transactions on Mathematical Software, 2005
Data Sciences Technology for Homeland Security Information Management and Knowledge Discovery: DHS Workshop on Data Sciences
T. Kolda, …
Tech. Rep., Sandia National Laboratories, 2005
Optimizing an Empirical Scoring Function for Transmembrane Protein Structure Determination
G. A. Gray, T. G. Kolda, K. L. Sale, M. M. Young INFORMS Journal on Computing, 2004
Parallel Optimization of Forging Processes for Optimal Material Properties
M. L. Chiesa, R. E. Jones, K. J. Perano, T. G. Kolda
In NUMIFORM 2004: Proceedings of the 8th International Conference on Numerical Methods in Industrial Forming Processes, 2004
Understanding Asynchronous Parallel Pattern Search
T. G. Kolda, V. Torczon
In High Performance Algorithms and Software for Nonlinear Optimization, 2003
A Counterexample to the Possibility of an Extension of the Eckart-Young Low-rank Approximation Theorem for the Orthogonal Rank Tensor Decomposition
T. G. Kolda SIAM Journal on Matrix Analysis and Applications, 2003
Hidden Markov Models for Chromosome Identification
J. M. Conroy, J. R. L. Becker, W. Lefkowitz, K. L. Christopher, R. B. Surana, T. O’Leary, D. P. O’Leary, T. G. Kolda
In CBMS 2001: Proceedings of the 14th IEEE Symposium on Computer-Based Medical Systems, 2001
Chromosome Identification Using Hidden Markov Models: Comparison with Neural Networks, Singular Value Decomposition, Principal Components Analysis, and Fisher Discriminant Analysis
J. M. Conroy, T. G. Kolda, D. P. O’Leary, T. J. O’Leary Laboratory Investigation, 2000
Algorithm 805: Computation and Uses of the Semidiscrete Matrix Decomposition
T. G. Kolda, D. P. O’Leary ACM Transactions on Mathematical Software, 2000
Partitioning Rectangular and Structurally Unsymmetric Sparse Matrices for Parallel Processing
B. Hendrickson, T. G. Kolda SIAM Journal on Scientific Computing, 2000
New Term Weighting Formulas for the Vector Space Method in Information Retrieval
E. Chisholm, T. G. Kolda
Tech. Rep., Oak Ridge National Laboratory, 1999
Latent Semantic Indexing Via a Semi-discrete Matrix Decomposition
T. G. Kolda, D. P. O’Leary
In The Mathematics of Information Coding, Extraction and Distribution, 1999
A Semidiscrete Matrix Decomposition for Latent Semantic Indexing Information Retrieval
T. G. Kolda, D. P. O’Leary ACM Transactions on Information Systems, 1998
Partitioning Sparse Rectangular Matrices for Parallel Computations of $Ax$ and $A^Tv$
B. Hendrickson, T. G. Kolda
In Applied Parallel Computing Large Scale Scientific and Industrial Problems, 1998
Matching Permuted Variables in Two or More Data Sets
T. L. Gibson (nee Kolda), J. Hill, C. Juergens, S. Pootheri, L. Potter, S. Stolarski
Tech. Rep., Center for Research in Scientific Computation, North Carolina State University, 1996