GREY BALLARD

@article{AB+24,
  author = {Al Daas, Hussam and Ballard, Grey and Grigori, Laura and Kumar, Suraj and Rouse, Kathryn},
  title = {Communication Lower Bounds and Optimal Algorithms for Multiple Tensor-Times-Matrix Computation},
  journal = {SIAM Journal on Matrix Analysis and Applications},
  year = {2024},
  volume = {45},
  number = {1},
  pages = {450-477},
  url = {https://doi.org/10.1137/22M1510443}
}

@inproceedings{DB24,
  author = {Aditya Devarakonda and Grey Ballard},
  title = {Sequential and Shared-Memory Parallel Algorithms for Partitioned Local Depths},
  booktitle = {Proceedings of the 2024 SIAM Conference on Parallel Processing for Scientific Computing},
  year = {2024},
  pages = {53--64},
  url = {https://epubs.siam.org/doi/abs/10.1137/1.9781611977967.5}
}

@article{MLB24,
  author = {Minster, Rachel and Li, Zitong and Ballard, Grey},
  title = {Parallel Randomized Tucker Decomposition Algorithms},
  journal = {SIAM Journal on Scientific Computing},
  year = {2024},
  volume = {46},
  number = {2},
  pages = {A1186-A1213},
  url = {https://doi.org/10.1137/22M1540363}
}

@inproceedings{WB24,
  author = {Cade Wiley and Grey Ballard},
  title = {Visualizing {PRAM} Algorithm for Mergesort},
  booktitle = {IEEE International Parallel and Distributed Processing Symposium Workshops (IPDPSW)},
  year = {2024},
  series = {EduPar '24},
  pages = {365--368},
  url = {https://doi.org/10.1109/IPDPSW63119.2024.00083}
}

@article{AB+23,
  author = {Al Daas, Hussam and Ballard, Grey and Cazeaux, Paul and Hallman, Eric and Mi\k{e}dlar, Agnieszka and Pasha, Mirjeta and Reid, Tim W. and Saibaba, Arvind K.},
  title = {Randomized Algorithms for Rounding in the Tensor-Train Format},
  journal = {SIAM Journal on Scientific Computing},
  year = {2023},
  volume = {45},
  number = {1},
  pages = {A74-A95},
  url = {https://doi.org/10.1137/21M1451191}
}

@techreport{AB+23-TR,
  author = {Hussam Al Daas and Grey Ballard and Laura Grigori and Suraj Kumar and Kathryn Rouse},
  title = {Communication Lower Bounds and Optimal Algorithms for Multiple Tensor-Times-Matrix Computation},
  year = {2023},
  number = {2207.10437},
  url = {https://arxiv.org/abs/2207.10437}
}

@inproceedings{ABGKR23,
  author = {Al Daas, Hussam and Grey Ballard and Laura Grigori and Suraj Kumar and Kathryn Rouse},
  title = {Parallel Memory-Independent Communication Bounds for {SYRK}},
  booktitle = {Proceedings of the 35th {ACM} Symposium on Parallelism in Algorithms and Architectures},
  publisher = {{ACM}},
  month = {June},
  year = {2023},
  url = {https://doi.org/10.1145/3558481.3591072}
}

@inproceedings{EC+23,
  author = {Eswar, Srinivas and Cobb, Benjamin and Hayashi, Koby and Kannan, Ramakrishnan and Ballard, Grey and Vuduc, Richard and Park, Haesun},
  title = {Distributed-Memory Parallel {JointNMF}},
  booktitle = {Proceedings of the 37th International Conference on Supercomputing},
  publisher = {Association for Computing Machinery},
  address = {New York, NY, USA},
  year = {2023},
  series = {ICS '23},
  pages = {301-312},
  url = {https://doi.org/10.1145/3577193.3593733}
}

@article{MVLB23,
  author = {Minster, Rachel and Viviano, Irina and Liu, Xiaotian and Ballard, Grey},
  title = {{CP} Decomposition for Tensors via Alternating Least Squares with {QR} Decomposition},
  journal = {Numerical Linear Algebra with Applications},
  year = {2023},
  pages = {e2511},
  url = {https://doi.org/10.1002/nla.2511}
}

@article{ABB22,
  author = {Al Daas, Hussam and Ballard, Grey and Benner, Peter},
  title = {Parallel Algorithms for Tensor Train Arithmetic},
  journal = {SIAM Journal on Scientific Computing},
  year = {2022},
  volume = {44},
  number = {1},
  pages = {C25-C53},
  url = {https://doi.org/10.1137/20M1387158}
}

@inproceedings{ABGKR22,
  author = {Al Daas, Hussam and Ballard, Grey and Grigori, Laura and Kumar, Suraj and Rouse, Kathryn},
  title = {Tight Memory-Independent Parallel Matrix Multiplication Communication Lower Bounds},
  booktitle = {Proceedings of the 34th Annual ACM Symposium on Parallelism in Algorithms and Architectures},
  publisher = {ACM},
  address = {New York, NY, USA},
  year = {2022},
  series = {SPAA '22},
  url = {https://doi.org/10.1145/3490148.3538552}
}

@techreport{ABGKR22-TR,
  author = {Al Daas, Hussam and Ballard, Grey and Grigori, Laura and Kumar, Suraj and Rouse, Kathryn},
  title = {Tight Memory-Independent Parallel Matrix Multiplication Communication Lower Bounds},
  year = {2022},
  url = {https://arxiv.org/abs/2205.13407}
}

@techreport{ABGKR22-TR-MTTM,
  author = {Al Daas, Hussam and Ballard, Grey and Grigori, Laura and Kumar, Suraj and Rouse, Kathryn},
  title = {Communication Lower Bounds and Optimal Algorithms for Multiple Tensor-Times-Matrix Computation},
  year = {2022},
  number = {2207.10437},
  url = {https://arxiv.org/abs/2207.10437}
}

@inproceedings{ABM22,
  author = {Al Daas, Hussam and Ballard, Grey and Manning, Lawton},
  title = {Parallel {Tensor Train} Rounding using {Gram SVD}},
  booktitle = {Proceedings of the 2022 IEEE International Parallel and Distributed Processing Symposium},
  year = {2022},
  series = {IPDPS '22},
  pages = {930--940},
  url = {https://doi.org/10.1109/IPDPS53621.2022.00095}
}

@techreport{MLB22-TR,
  author = {Rachel Minster and Zitong Li and Grey Ballard},
  title = {Parallel Randomized Tucker Decomposition Algorithms},
  year = {2022},
  number = {2211.13028},
  url = {https://arxiv.org/abs/2211.13028}
}

@techreport{AB+21,
  author = {Al Daas, Hussam and Ballard, Grey and Cazeaux, Paul and Hallman, Eric and Miedlar, Agnieszka and Pasha, Mirjeta and Reid, Tim W. and Saibaba, Arvind K.},
  title = {Randomized algorithms for rounding in the Tensor-Train format},
  year = {2021},
  url = {https://arxiv.org/abs/2110.04393}
}

@inproceedings{BP21,
  author = {Grey Ballard and Sarah Parsons},
  title = {Visualizing Parallel Dynamic Programming using the Thread Safe Graphics Library},
  booktitle = {Proceedings of the IEEE/ACM Ninth Workshop on Education for High Performance Computing},
  year = {2021},
  series = {EduHPC '21},
  pages = {24-31},
  url = {https://doi.org/10.1109/EduHPC54835.2021.00009}
}

@inproceedings{BWZ21,
  author = {Grey Ballard and Jack Weissenberger and Luoping Zhang},
  title = {Accelerating Neural Network Training using Arbitrary Precision Approximating Matrix Multiplication Algorithms},
  booktitle = {50th International Conference on Parallel Processing Workshop},
  publisher = {ACM},
  address = {New York, NY, USA},
  month = {August},
  year = {2021},
  series = {ICPP Workshops '21},
  pages = {8},
  url = {https://doi.org/10.1145/3458744.3474050}
}

@article{EH+21,
  author = {Eswar, Srinivas and Hayashi, Koby and Ballard, Grey and Kannan, Ramakrishnan and Matheson, Michael A. and Park, Haesun},
  title = {{PLANC}: Parallel Low-Rank Approximation with Nonnegativity Constraints},
  journal = {ACM Transactions on Mathematical Software},
  publisher = {ACM},
  address = {New York, NY, USA},
  month = {June},
  year = {2021},
  volume = {47},
  number = {3},
  url = {https://doi.org/10.1145/3432185}
}

@inproceedings{LFB21,
  author = {Zitong Li and Qiming Fang and Grey Ballard},
  title = {Parallel {Tucker} Decomposition with Numerically Accurate {SVD}},
  booktitle = {50th International Conference on Parallel Processing},
  publisher = {ACM},
  address = {New York, NY, USA},
  month = {August},
  year = {2021},
  series = {ICPP '21},
  pages = {11},
  url = {https://doi.org/10.1145/3472456.3472472}
}

@techreport{ABB20-TR,
  author = {Al Daas, Hussam and Ballard, Grey and Benner, Peter},
  title = {Parallel Algorithms for Tensor Train Arithmetic},
  year = {2020},
  number = {2011.06532},
  url = {https://arxiv.org/abs/2011.06532}
}

@article{BKK20,
  author = {Ballard, Grey and Klinvex, Alicia and Kolda, Tamara G.},
  title = {{TuckerMPI}: A Parallel {C++/MPI} Software Package for Large-Scale Data Compression via the Tucker Tensor Decomposition},
  journal = {ACM Transactions on Mathematical Software},
  publisher = {ACM},
  address = {New York, NY, USA},
  month = {June},
  year = {2020},
  volume = {46},
  number = {2},
  url = {https://dl.acm.org/doi/10.1145/3378445}
}

@inproceedings{BR20,
  author = {Grey Ballard and Kathryn Rouse},
  title = {General Memory-Independent Lower Bound for MTTKRP},
  booktitle = {Proceedings of the 2020 SIAM Conference on Parallel Processing for Scientific Computing},
  month = {January},
  year = {2020},
  pages = {1-11},
  url = {https://epubs.siam.org/doi/abs/10.1137/1.9781611976137.1}
}

@techreport{DB20,
  author = {Karen Devine and Grey Ballard},
  title = {{GentenMPI}: Distributed Memory Sparse Tensor Decomposition},
  year = {2020},
  number = {SAND2020-8515},
  url = {https://www.osti.gov/biblio/1656940}
}

@inproceedings{EH+20,
  author = {S. Eswar and K. Hayashi and G. Ballard and R. Kannan and R. Vuduc and H. Park},
  title = {Distributed-Memory Parallel Symmetric Nonnegative Matrix Factorization},
  booktitle = {Proceedings of the International Conference for High Performance Computing, Networking, Storage and Analysis (SC)},
  publisher = {IEEE Computer Society},
  address = {Los Alamitos, CA, USA},
  month = {November},
  year = {2020},
  pages = {1041-1054},
  url = {https://doi.ieeecomputersociety.org/10.1109/SC41405.2020.00078}
}

@inproceedings{MBKP20,
  author = {Lawton Manning and Grey Ballard and Ramakrishnan Kannan and Haesun Park},
  title = {Parallel Hierarchical Clustering using Rank-Two Nonnegative Matrix Factorization},
  booktitle = {Proceedings of the 27th IEEE International Conference on High Performance Computing},
  publisher = {IEEE Computer Society},
  address = {Los Alamitos, CA, USA},
  month = {December},
  year = {2020},
  pages = {141-150},
  url = {https://ieeexplore.ieee.org/document/9406651}
}

@article{Ballard19,
  author = {Grey Ballard},
  title = {{CP} and {Tucker} Tensor Decompositions},
  journal = {SIAG/OPT Views and News},
  month = {January},
  year = {2019},
  volume = {27},
  number = {1},
  pages = {1--7},
  url = {http://wiki.siam.org/siag-op/images/siag-op/b/bd/ViewsAndNews-27-1.pdf}
}

@techreport{BDDR19,
  author = {Grey Ballard and James Demmel and Ioana Dumitriu and Alexander Rusciano},
  title = {A Generalized Randomized Rank-Revealing Factorization},
  year = {2019},
  number = {1909.06524},
  url = {https://arxiv.org/abs/1909.06524}
}

@techreport{BKK19-TR,
  author = {Grey Ballard and Alicia Klinvex and Tamara G. Kolda},
  title = {{TuckerMPI}: Efficient parallel software for {Tucker} decompositions of dense tensors},
  year = {2019},
  number = {1901.06043},
  url = {https://arxiv.org/abs/1901.06043}
}

@techreport{EH+19-TR,
  author = {Eswar, Srinivas and Hayashi, Koby and Ballard, Grey and Kannan, Ramakrishnan and Matheson, Michael A. and Park, Haesun},
  title = {{PLANC}: Parallel Low Rank Approximation with Non-negativity Constraints},
  year = {2019},
  number = {1909.01149},
  url = {https://arxiv.org/abs/1909.01149}
}

@article{WBPP19,
  author = {Chao Wang and Grey Ballard and Robert Plemmons and Sudhakar Prasad},
  title = {Joint {3D} localization and classification of space debris using a multispectral rotating point spread function},
  journal = {Applied Optics},
  publisher = {OSA},
  month = {Nov},
  year = {2019},
  volume = {58},
  number = {31},
  pages = {8598--8611},
  url = {https://pubmed.ncbi.nlm.nih.gov/31873353/}
}

@article{BBK18,
  author = {Casey Battaglino and Grey Ballard and Tamara G. Kolda},
  title = {A Practical Randomized {CP} Tensor Decomposition},
  journal = {SIAM Journal on Matrix Analysis and Applications},
  year = {2018},
  volume = {39},
  number = {2},
  pages = {876-901},
  url = {https://doi.org/10.1137/17M1112303}
}

@inproceedings{BDGJK18,
  author = {Grey Ballard and James Demmel and Laura Grigori and Mathias Jacquelin and Nicholas Knight},
  title = {A {3D} Parallel Algorithm for {QR} Decomposition},
  booktitle = {Proceedings of the 30th Symposium on Parallelism in Algorithms and Architectures},
  publisher = {ACM},
  address = {New York, NY, USA},
  year = {2018},
  series = {SPAA '18},
  pages = {55--65},
  url = {http://doi.acm.org/10.1145/3210377.3210415}
}

@techreport{BDGJK18-TR,
  author = {Grey Ballard and James Demmel and Laura Grigori and Mathias Jacquelin and Nicholas Knight},
  title = {A 3D Parallel Algorithm for QR Decomposition},
  year = {2018},
  number = {1805.05278},
  url = {https://arxiv.org/abs/1805.05278}
}

@inproceedings{BHK18,
  author = {Grey Ballard and Koby Hayashi and Ramakrishnan Kannan},
  title = {Parallel Nonnegative {CP} Decomposition of Dense Tensors},
  booktitle = {25th IEEE International Conference on High Performance Computing (HiPC)},
  month = {Dec},
  year = {2018},
  pages = {22-31},
  url = {https://ieeexplore.ieee.org/document/8638076}
}

@techreport{BHK18-TR,
  author = {Grey Ballard and Koby Hayashi and Ramakrishnan Kannan},
  title = {Parallel Nonnegative {CP} Decomposition of Dense Tensors},
  year = {2018},
  number = {1806.07985},
  url = {https://arxiv.org/abs/1806.07985}
}

@article{BILR18,
  author = {Grey Ballard and Christian Ikenmeyer and J.M. Landsberg and Nick Ryder},
  title = {The geometry of rank decompositions of matrix multiplication II: 3x3 matrices},
  journal = {Journal of Pure and Applied Algebra},
  year = {2018},
  volume = {223},
  number = {8},
  pages = {3205 - 3224}
}

@techreport{BILR18-TR,
  author = {Grey Ballard and Christian Ikenmeyer and J.M. Landsberg and Nick Ryder},
  title = {The geometry of rank decompositions of matrix multiplication {II}: 3x3 matrices},
  year = {2018},
  number = {1801.00843},
  url = {https://arxiv.org/abs/1801.00843}
}

@inproceedings{BKR18,
  author = {Grey Ballard and Nicholas Knight and Kathryn Rouse},
  title = {Communication Lower Bounds for Matricized Tensor Times {Khatri-Rao} Product},
  booktitle = {Proceedings of the 32nd IEEE International Parallel and Distributed Processing Symposium},
  month = {May},
  year = {2018},
  pages = {557-567},
  url = {https://ieeexplore.ieee.org/document/8425209/}
}

@inproceedings{HBJT18,
  author = {Hayashi, Koby and Ballard, Grey and Jiang, Yujie and Tobia, Michael J.},
  title = {Extended Abstract: Shared-memory Parallelization of {MTTKRP} for Dense Tensors},
  booktitle = {Proceedings of the 23rd ACM SIGPLAN Symposium on Principles and Practice of Parallel Programming},
  publisher = {ACM},
  address = {New York, NY, USA},
  year = {2018},
  series = {PPoPP '18},
  pages = {393--394},
  url = {http://doi.acm.org/10.1145/3178487.3178522}
}

@article{KBP17,
  author = {Ramakrishnan Kannan and Grey Ballard and Haesun Park},
  title = {{MPI-FAUN}: An {MPI}-Based Framework for Alternating-Updating Nonnegative Matrix Factorization},
  journal = {IEEE Transactions on Knowledge and Data Engineering},
  month = {March},
  year = {2018},
  volume = {30},
  number = {3},
  pages = {544-558},
  url = {https://www.computer.org/csdl/trans/tk/2018/03/08089433-abs.html}
}

@inproceedings{KKB18,
  author = {Oguz Kaya and Ramakrishnan Kannan and Grey Ballard},
  title = {Partitioning and Communication Strategies for Sparse Non-negative Matrix Factorization},
  booktitle = {Proceedings of the 47th International Conference on Parallel Processing},
  publisher = {ACM},
  address = {New York, NY, USA},
  year = {2018},
  series = {ICPP 2018},
  pages = {90:1--90:10},
  url = {https://doi.org/10.1145/3225058.3225127}
}

@article{MLRB18,
  author = {Mokhtari, Fatemeh and Laurienti, Paul J and Rejeski, W Jack and Ballard, Grey},
  title = {Dynamic Functional Magnetic Resonance Imaging Connectivity Tensor Decomposition: A New Approach to Analyze and Interpret Dynamic Brain Connectivity},
  journal = {Brain connectivity},
  month = {December},
  year = {2018},
  url = {https://doi.org/10.1089/brain.2018.0605}
}

@techreport{BBK17-TR,
  author = {Casey Battaglino and Grey Ballard and Tamara G. Kolda},
  title = {A Practical Randomized {CP} Tensor Decomposition},
  year = {2017},
  number = {1701.06600},
  url = {https://arxiv.org/abs/1701.06600}
}

@techreport{BKR17-TR,
  author = {Grey Ballard and Nicholas Knight and Kathryn Rouse},
  title = {Communication Lower Bounds for Matricized Tensor Times {Khatri-Rao} Product},
  year = {2017},
  number = {1708.07401},
  url = {https://arxiv.org/abs/1708.07401}
}

@techreport{HBJT17-TR,
  author = {Koby Hayashi and Grey Ballard and Jeffrey Jiang and Michael J. Tobia},
  title = {Shared Memory Parallelization of MTTKRP for Dense Tensors},
  year = {2017},
  number = {1708.08976},
  url = {https://arxiv.org/abs/1708.08976}
}

@inproceedings{SBDH17,
  author = {Solomonik, Edgar and Ballard, Grey and Demmel, James and Hoefler, Torsten},
  title = {A Communication-Avoiding Parallel Algorithm for the Symmetric Eigenvalue Problem},
  booktitle = {Proceedings of the 29th ACM Symposium on Parallelism in Algorithms and Architectures},
  publisher = {ACM},
  address = {New York, NY, USA},
  year = {2017},
  series = {SPAA '17},
  pages = {111--121},
  url = {http://doi.acm.org/10.1145/3087556.3087561}
}

@article{THBGW17,
  author = {Tobia, Michael J. and Hayashi, Koby and Ballard, Grey and Gotlib, Ian H. and Waugh, Christian E.},
  title = {Dynamic functional connectivity and individual differences in emotions during social stress},
  journal = {Human Brain Mapping},
  year = {2017},
  volume = {38},
  number = {12},
  pages = {6185--6205},
  url = {http://dx.doi.org/10.1002/hbm.23821}
}

@article{AB+16,
  author = {Ariful Azad and Grey Ballard and Aydin Bulu\c{c} and James Demmel and Laura Grigori and Oded Schwartz and Sivan Toledo and Samuel Williams},
  title = {Exploiting Multiple Levels of Parallelism in Sparse Matrix-Matrix Multiplication},
  journal = {SIAM Journal on Scientific Computing},
  year = {2016},
  volume = {38},
  number = {6},
  pages = {C624-C651},
  url = {http://dx.doi.org/10.1137/15M104253X}
}

@inproceedings{ABK16,
  author = {Woody Austin and Grey Ballard and Tamara G. Kolda},
  title = {Parallel Tensor Compression for Large-Scale Scientific Data},
  booktitle = {Proceedings of the 30th IEEE International Parallel and Distributed Processing Symposium},
  month = {May},
  year = {2016},
  pages = {912--922},
  url = {https://www.computer.org/csdl/proceedings/ipdps/2016/2140/00/2140a912-abs.html}
}

@article{BBDLS16,
  author = {Grey Ballard and Austin R. Benson and Alex Druinsky and Benjamin Lipshitz and Oded Schwartz},
  title = {Improving the Numerical Stability of Fast Matrix Multiplication},
  journal = {SIAM Journal on Matrix Analysis and Applications},
  year = {2016},
  volume = {37},
  number = {4},
  pages = {1382-1418},
  url = {http://dx.doi.org/10.1137/15M1032168}
}

@inproceedings{BD+16,
  author = {Ballard, Grey and Demmel, James and Gearhart, Andrew and Lipshitz, Benjamin and Oltchik, Yishai and Schwartz, Oded and Toledo, Sivan},
  title = {Network Topologies and Inevitable Contention},
  booktitle = {Proceedings of the First Workshop on Optimization of Communication in HPC},
  publisher = {IEEE Press},
  address = {Piscataway, NJ, USA},
  year = {2016},
  series = {COM-HPC '16},
  pages = {39--52},
  url = {http://dl.acm.org/citation.cfm?id=3018063}
}

@article{BDKS16,
  author = {Ballard, Grey and Druinsky, Alex and Knight, Nicholas and Schwartz, Oded},
  title = {Hypergraph Partitioning for Sparse Matrix-Matrix Multiplication},
  journal = {ACM Transactions on Parallel Computing},
  publisher = {ACM},
  address = {New York, NY, USA},
  month = {December},
  year = {2016},
  volume = {3},
  number = {3},
  pages = {18:1--18:34},
  url = {http://doi.acm.org/10.1145/3015144}
}

@techreport{BDKS16-TR,
  author = {Grey Ballard and Alex Druinsky and Nicholas Knight and Oded Schwartz},
  title = {Hypergraph Partitioning for Sparse Matrix-Matrix Multiplication},
  month = {March},
  year = {2016},
  number = {1603.05627},
  url = {http://arxiv.org/abs/1603.05627}
}

@article{BSH16,
  author = {Ballard, Grey and Siefert, Christopher and Hu, Jonathan},
  title = {Reducing Communication Costs for Sparse Matrix Multiplication within Algebraic Multigrid},
  journal = {SIAM Journal on Scientific Computing},
  month = {June},
  year = {2016},
  volume = {38},
  number = {3},
  pages = {C203-C231},
  url = {http://epubs.siam.org/doi/abs/10.1137/15M1028807}
}

@inproceedings{KBP16,
  author = {Kannan, Ramakrishnan and Ballard, Grey and Park, Haesun},
  title = {A High-Performance Parallel Algorithm for Nonnegative Matrix Factorization},
  booktitle = {Proceedings of the 21st ACM SIGPLAN Symposium on Principles and Practice of Parallel Programming},
  publisher = {ACM},
  address = {New York, NY, USA},
  month = {February},
  year = {2016},
  series = {PPoPP '16},
  pages = {9:1--9:11},
  url = {http://doi.acm.org/10.1145/2851141.2851152}
}

@techreport{KBP16-TR,
  author = {Ramakrishnan Kannan and Grey Ballard and Haesun Park},
  title = {MPI-FAUN: An MPI-Based Framework for Alternating-Updating Nonnegative Matrix Factorization},
  month = {September},
  year = {2016},
  number = {1609.09154},
  url = {https://arxiv.org/abs/1609.09154}
}

@techreport{SBDH16-TR,
  author = {Solomonik, Edgar and Ballard, Grey and Demmel, James and Hoefler, Torsten},
  title = {A communication-avoiding parallel algorithm for the symmetric eigenvalue problem},
  month = {April},
  year = {2016},
  number = {1604.03703},
  url = {http://arxiv.org/abs/1604.03703}
}

@techreport{AB+15-TR,
  author = {Ariful Azad and Grey Ballard and Aydin Buluc and James Demmel and Laura Grigori and Oded Schwartz and Sivan Toledo and Samuel Williams},
  title = {Exploiting Multiple Levels of Parallelism in Sparse Matrix-Matrix Multiplication},
  month = {October},
  year = {2015},
  number = {1510.00844},
  url = {http://arxiv.org/abs/1510.00844}
}

@techreport{ABK15-TR,
  author = {Woody Austin and Grey Ballard and Tamara G. Kolda},
  title = {Parallel Tensor Compression for Large-Scale Scientific Data},
  year = {2015},
  number = {1510.06689},
  url = {http://arxiv.org/abs/1510.06689}
}

@inproceedings{BB15,
  author = {Benson, Austin R. and Ballard, Grey},
  title = {A Framework for Practical Parallel Fast Matrix Multiplication},
  booktitle = {Proceedings of the 20th ACM SIGPLAN Symposium on Principles and Practice of Parallel Programming},
  publisher = {ACM},
  address = {New York, NY, USA},
  month = {February},
  year = {2015},
  series = {PPoPP 2015},
  pages = {42--53},
  url = {http://doi.acm.org/10.1145/2688500.2688513}
}

@techreport{BBDLS15-TR,
  author = {Grey Ballard and Austin R. Benson and Alex Druinsky and Benjamin Lipshitz and Oded Schwartz},
  title = {Improving the numerical stability of fast matrix multiplication algorithms},
  month = {July},
  year = {2015},
  number = {1507.00687},
  url = {http://arxiv.org/abs/1507.00687}
}

@article{BDGJ+15,
  author = {Ballard, Grey and Demmel, James and Grigori, Laura and Knight, Nicholas and Jacquelin, Mathias and Nguyen, Hong Diep},
  title = {Reconstructing {H}ouseholder Vectors from Tall-Skinny {QR}},
  journal = {Journal of Parallel and Distributed Computing},
  month = {August},
  year = {2015},
  volume = {85},
  pages = {3-31},
  url = {http://www.sciencedirect.com/science/article/pii/S074373151500101X}
}

@article{BDK15,
  author = {Ballard, Grey and Demmel, James and Knight, Nicholas},
  title = {Avoiding Communication in Successive Band Reduction},
  journal = {ACM Transactions on Parallel Computing},
  publisher = {ACM},
  address = {New York, NY, USA},
  month = {February},
  year = {2015},
  volume = {1},
  number = {2},
  pages = {11:1--11:37},
  url = {http://doi.acm.org/10.1145/2686877}
}

@inproceedings{BDKS15,
  author = {Ballard, Grey and Druinsky, Alex and Knight, Nicholas and Schwartz, Oded},
  title = {Brief Announcement: Hypergraph Partitioning for Parallel Sparse Matrix-Matrix Multiplication},
  booktitle = {Proceedings of the 27th ACM Symposium on Parallelism in Algorithms and Architectures},
  publisher = {ACM},
  address = {New York, NY, USA},
  month = {June},
  year = {2015},
  series = {SPAA '15},
  pages = {86--88},
  url = {http://doi.acm.org/10.1145/2755573.2755613}
}

@inproceedings{BKPS15,
  author = {Grey Ballard and Tamara G. Kolda and Ali Pinar and C. Seshadhri},
  title = {Diamond Sampling for Approximate Maximum All-pairs Dot-product {(MAD)} Search},
  booktitle = {15th IEEE International Conference on Data Mining},
  publisher = {IEEE Computer Society},
  month = {November},
  year = {2015},
  series = {ICDM '15},
  pages = {11--20},
  url = {http://dx.doi.org/10.1109/ICDM.2015.46}
}

@techreport{BKPS15-TR,
  author = {Grey Ballard and Tamara G. Kolda and Ali Pinar and C. Seshadhri},
  title = {Diamond Sampling for Approximate Maximum All-pairs Dot-product {(MAD)} Search},
  month = {June},
  year = {2015},
  url = {http://arxiv.org/abs/1506.03872}
}

@techreport{BSH15-TR,
  author = {Ballard, Grey and Siefert, Christopher and Hu, Jonathan},
  title = {Reducing Communication Costs for Sparse Matrix Multiplication within Algebraic Multigrid},
  month = {September},
  year = {2015},
  number = {SAND2015-3275},
  url = {http://prod.sandia.gov/techlib/access-control.cgi/2015/153275.pdf}
}

@techreport{KBP15-TR,
  author = {Ramakrishnan Kannan and Grey Ballard and Haesun Park},
  title = {A High-Performance Parallel Algorithm for Nonnegative Matrix Factorization},
  month = {September},
  year = {2015},
  number = {1509.09313},
  url = {http://arxiv.org/abs/1509.09313}
}

@article{BB14,
  author = {Grey Ballard and John Baxley},
  title = {Asymptotic Behavior of the Eigenvalues of Toeplitz Integral Operators Associated with the Hankel Transform},
  journal = {Dynamic Systems and Applications},
  month = {December},
  year = {2014},
  volume = {23},
  number = {4},
  pages = {505--530}
}

@techreport{BB14-TR,
  author = {Benson, Austin and Ballard, Grey},
  title = {A Framework for Practical Parallel Fast Matrix Multiplication},
  month = {September},
  year = {2014},
  url = {http://arxiv.org/abs/1409.2908}
}

@article{BBDD+14,
  author = {Ballard, G. and Becker, D. and Demmel, J. and Dongarra, J. and Druinsky, A. and Peled, I. and Schwartz, O. and Toledo, S. and Yamazaki, I.},
  title = {Communication-Avoiding Symmetric-Indefinite Factorization},
  journal = {SIAM Journal on Matrix Analysis and Applications},
  month = {November},
  year = {2014},
  volume = {35},
  number = {4},
  pages = {1364--1406},
  url = {http://dx.doi.org/10.1137/130929060}
}

@article{BCDH+14,
  author = {Ballard, G. and Carson, E. and Demmel, J. and Hoemmen, M. and Knight, N. and Schwartz, O.},
  title = {Communication lower bounds and optimal algorithms for numerical linear algebra},
  journal = {Acta Numerica},
  month = {May},
  year = {2014},
  volume = {23},
  pages = {1--155},
  url = {http://journals.cambridge.org/article_S0962492914000038}
}

@inproceedings{BDGJ+14,
  author = {Ballard, Grey and Demmel, James and Grigori, Laura and Jacquelin, Mathias and Nguyen, Hong Diep and Solomonik, Edgar},
  title = {Reconstructing {H}ouseholder Vectors from Tall-Skinny {QR}},
  booktitle = {IEEE 28th International Parallel and Distributed Processing Symposium},
  month = {May},
  year = {2014},
  pages = {1159--1170},
  url = {http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=6877344}
}

@article{BDHS14,
  author = {Ballard, Grey and Demmel, James and Holtz, Olga and Schwartz, Oded},
  title = {Communication Costs of {Strassen's} Matrix Multiplication},
  journal = {Communications of the ACM},
  publisher = {ACM},
  address = {New York, NY, USA},
  month = {February},
  year = {2014},
  volume = {57},
  number = {2},
  pages = {107--114},
  url = {http://doi.acm.org/10.1145/2556647.2556660}
}

@phdthesis{Ballard13,
  author = {Ballard, Grey},
  title = {Avoiding Communication in Dense Linear Algebra},
  month = {Aug},
  year = {2013},
  number = {UCB/EECS-2013-151},
  url = {http://www.eecs.berkeley.edu/Pubs/TechRpts/2013/EECS-2013-151.html}
}

@inproceedings{BBDD+13,
  author = {Ballard, G. and Becker, D. and Demmel, J. and Dongarra, J. and Druinsky, A. and Peled, I. and Schwartz, O. and Toledo, S. and Yamazaki, I.},
  title = {Implementing a Blocked {Aasen's} Algorithm with a Dynamic Scheduler on Multicore Architectures},
  booktitle = {Proceedings of the 27th IEEE International Parallel Distributed Processing Symposium},
  month = {May},
  year = {2013},
  series = {IPDPS '13},
  pages = {895--907},
  url = {http://dx.doi.org/10.1109/IPDPS.2013.98}
}

@techreport{BBDD+13-TR,
  author = {Ballard, G. and Becker, D. and Demmel, J. and Dongarra, J. and Druinsky, A. and Peled, I. and Schwartz, O. and Toledo, S. and Yamazaki, I.},
  title = {Communication-Avoiding Symmetric-Indefinite Factorization},
  month = {July},
  year = {2013},
  number = {UCB/EECS-2013-127},
  url = {http://www.eecs.berkeley.edu/Pubs/TechRpts/2013/EECS-2013-127.html}
}

@inproceedings{BBDG+13,
  author = {Ballard, G. and Bulu\c{c}, A. and Demmel, J. and Grigori, L. and Lipshitz, B. and Schwartz, O. and Toledo, S.},
  title = {Communication optimal parallel multiplication of sparse random matrices},
  booktitle = {Proceedings of the 25th ACM Symposium on Parallelism in Algorithms and Architectures},
  publisher = {ACM},
  address = {Montr\'eal, Qu\'ebec, Canada},
  month = {June},
  year = {2013},
  series = {SPAA '13},
  pages = {222--231},
  url = {http://doi.acm.org/10.1145/2486159.2486196}
}

@techreport{BDGJ+13-TR,
  author = {Ballard, G. and Demmel, J. and Grigori, L. and Jacquelin, M. and Nguyen, H.D. and Solomonik, E.},
  title = {Reconstructing {H}ouseholder Vectors from Tall-Skinny {QR}},
  month = {Oct},
  year = {2013},
  number = {UCB/EECS-2013-175},
  url = {http://www.eecs.berkeley.edu/Pubs/TechRpts/2013/EECS-2013-175.html}
}

@techreport{BDK13-TR,
  author = {Ballard, G. and Demmel, J. and Knight, N.},
  title = {Avoiding Communication in Successive Band Reduction},
  month = {July},
  year = {2013},
  number = {UCB/EECS-2013-131},
  url = {http://www.eecs.berkeley.edu/Pubs/TechRpts/2013/EECS-2013-131.html}
}

@inproceedings{BDLST13,
  author = {Ballard, G. and Demmel, J. and Lipshitz, B. and Schwartz, O. and Toledo, S.},
  title = {Communication efficient {Gaussian} elimination with partial pivoting using a shape morphing data layout},
  booktitle = {Proceedings of the 25th ACM Symposium on Parallelism in Algorithms and Architectures},
  publisher = {ACM},
  address = {Montr\'eal, Qu\'ebec, Canada},
  month = {June},
  year = {2013},
  series = {SPAA '13},
  pages = {232--240},
  url = {http://doi.acm.org/10.1145/2486159.2486198}
}

@inproceedings{BDHLS12-CAPS,
  author = {G. Ballard and J. Demmel and O. Holtz and B. Lipshitz and O. Schwartz},
  title = {Communication-optimal parallel algorithm for {S}trassen's matrix multiplication},
  booktitle = {{Proceedings of the 24th ACM Symposium on Parallelism in Algorithms and Architectures}},
  publisher = {ACM},
  address = {New York, NY, USA},
  month = {June},
  year = {2012},
  series = {SPAA '12},
  pages = {193--204},
  url = {http://doi.acm.org/10.1145/2312005.2312044}
}

@incollection{BDHLS12-RECT,
  author = {Ballard, G. and Demmel, J. and Holtz, O. and Lipshitz, B. and Schwartz, O.},
  title = {Graph Expansion Analysis for Communication Costs of Fast Rectangular Matrix Multiplication},
  booktitle = {Design and Analysis of Algorithms},
  editor = {Even, G. and Rawitz, D.},
  publisher = {Springer Berlin Heidelberg},
  month = {December},
  year = {2012},
  series = {Lecture Notes in Computer Science},
  volume = {7659},
  pages = {13--36},
  url = {http://dx.doi.org/10.1007/978-3-642-34862-4_2}
}

@inproceedings{BDHLS12-SS,
  author = {G. Ballard and J. Demmel and O. Holtz and B. Lipshitz and O. Schwartz},
  title = {Brief announcement: strong scaling of matrix multiplication algorithms and memory-independent communication lower bounds},
  booktitle = {{Proceedings of the 24th ACM Symposium on Parallelism in Algorithms and Architectures}},
  publisher = {ACM},
  address = {New York, NY, USA},
  month = {June},
  year = {2012},
  series = {SPAA '12},
  pages = {77--79},
  url = {http://doi.acm.org/10.1145/2312005.2312021}
}

@techreport{BDHLS12-SS-TR,
  author = {Ballard, G. and Demmel, J. and Holtz, O. and Lipshitz, B. and Schwartz, O.},
  title = {Strong Scaling of Matrix Multiplication Algorithms and Memory-Independent Communication Lower Bounds},
  month = {March},
  year = {2012},
  number = {UCB/EECS-2012-31},
  url = {http://www.eecs.berkeley.edu/Pubs/TechRpts/2012/EECS-2012-31.html}
}

@article{BDHS12,
  author = {G. Ballard and J. Demmel and O. Holtz and O. Schwartz},
  title = {Graph expansion and communication costs of fast matrix multiplication},
  journal = {Journal of the ACM},
  publisher = {ACM},
  address = {New York, NY, USA},
  month = {December},
  year = {2012},
  volume = {59},
  number = {6},
  pages = {32:1--32:23},
  url = {http://doi.acm.org/10.1145/2395116.2395121}
}

@techreport{BDHS12-FastLA,
  author = {G. Ballard and J. Demmel and O. Holtz and O. Schwartz},
  title = {Sequential Communication Bounds for Fast Linear Algebra},
  month = {March},
  year = {2012},
  number = {UCB/EECS-2012-36},
  url = {http://www.eecs.berkeley.edu/Pubs/TechRpts/2012/EECS-2012-36.html}
}

@inproceedings{BDK12,
  author = {G. Ballard and J. Demmel and N. Knight},
  title = {Communication avoiding successive band reduction},
  booktitle = {Proceedings of the 17th ACM SIGPLAN symposium on Principles and Practice of Parallel Programming},
  publisher = {ACM},
  address = {New York, NY, USA},
  month = {February},
  year = {2012},
  series = {PPoPP '12},
  pages = {35--44},
  url = {http://doi.acm.org/10.1145/2145816.2145822}
}

@inproceedings{LBDS12,
  author = {Lipshitz, B. and Ballard, G. and Demmel, J. and Schwartz, O.},
  title = {Communication-avoiding parallel {S}trassen: {I}mplementation and performance},
  booktitle = {Proceedings of the International Conference on High Performance Computing, Networking, Storage and Analysis},
  address = {Salt Lake City, Utah},
  month = {November},
  year = {2012},
  series = {SC '12},
  pages = {101:1--101:11},
  url = {http://dl.acm.org/citation.cfm?id=2388996.2389133}
}

@inproceedings{ABDK11,
  author = {Anderson, M. and Ballard, G. and Demmel, J. and Keutzer, K.},
  title = {Communication-Avoiding {QR} Decomposition for {GPU}s},
  booktitle = {Proceedings of the 2011 IEEE International Parallel and Distributed Processing Symposium},
  publisher = {IEEE Computer Society},
  address = {Washington, DC, USA},
  month = {May},
  year = {2011},
  series = {{IPDPS} '11},
  pages = {48--58},
  url = {http://dx.doi.org/10.1109/IPDPS.2011.15}
}

@article{BB11,
  author = {Baxley, J. and Ballard, G.},
  title = {Existence of Solutions for a Class of Singular Nonlinear Third Order Autonomous Boundary Value Problems},
  journal = {Communications in Applied Analysis},
  month = {Oct},
  year = {2011},
  volume = {15},
  number = {2, 3, and 4},
  pages = {195--202},
  url = {http://www.dynamicpublishers.com/CAA/caa2011.htm}
}

@techreport{BDD11,
  author = {Ballard, G. and Demmel, J. and Dumitriu, I.},
  title = {Communication-optimal parallel and sequential eigenvalue and singular value algorithms},
  month = {February},
  year = {2011},
  number = {EECS-2011-14},
  url = {http://www.eecs.berkeley.edu/Pubs/TechRpts/2011/EECS-2011-14.html}
}

@inproceedings{BDG11,
  author = {Ballard, G. and Demmel, J. and Gearhart, A.},
  title = {Brief announcement: communication bounds for heterogeneous architectures},
  booktitle = {Proceedings of the 23rd ACM Symposium on Parallelism in Algorithms and Architectures},
  publisher = {ACM},
  address = {San Jose, California, USA},
  month = {June},
  year = {2011},
  series = {SPAA '11},
  pages = {257--258},
  url = {http://doi.acm.org/10.1145/1989493.1989531}
}

@article{BDHS11-GLB,
  author = {G. Ballard and J. Demmel and O. Holtz and O. Schwartz},
  title = {Minimizing Communication in Numerical Linear Algebra},
  journal = {SIAM Journal on Matrix Analysis and Applications},
  publisher = {SIAM},
  month = {September},
  year = {2011},
  volume = {32},
  number = {3},
  pages = {866--901},
  url = {http://epubs.siam.org/doi/abs/10.1137/090769156}
}

@inproceedings{BDHS11-SLB,
  author = {G. Ballard and J. Demmel and O. Holtz and O. Schwartz},
  title = {Graph expansion and communication costs of fast matrix multiplication},
  booktitle = {{Proceedings of the 23rd ACM Symposium on Parallelism in Algorithms and Architectures}},
  publisher = {ACM},
  address = {San Jose, California, USA},
  month = {June},
  year = {2011},
  series = {SPAA '11},
  pages = {1--12},
  url = {http://doi.acm.org/10.1145/1989493.1989495}
}

@techreport{BDHS11-TR,
  author = {G. Ballard and J. Demmel and O. Holtz and O. Schwartz},
  title = {Minimizing communication in linear algebra},
  month = {February},
  year = {2011},
  number = {EECS-2011-15},
  url = {http://www.eecs.berkeley.edu/Pubs/TechRpts/2011/EECS-2011-15.html}
}

@article{BKP11,
  author = {G. Ballard and T. Kolda and T. Plantenga},
  title = {Efficiently Computing Tensor Eigenvalues on a {GPU}},
  journal = {2011 IEEE International Symposium on Parallel and Distributed Processing Workshops and PhD Forum},
  publisher = {IEEE Computer Society},
  address = {Los Alamitos, CA, USA},
  month = {May},
  year = {2011},
  volume = {0},
  pages = {1340--1348},
  url = {https://ieeexplore.ieee.org/document/6008988}
}

@article{BDHS10,
  author = {G. Ballard and J. Demmel and O. Holtz and O. Schwartz},
  title = {Communication-optimal Parallel and Sequential {C}holesky Decomposition},
  journal = {SIAM Journal on Scientific Computing},
  publisher = {SIAM},
  month = {December},
  year = {2010},
  volume = {32},
  number = {6},
  pages = {3495--3523},
  url = {http://epubs.siam.org/doi/abs/10.1137/090760969}
}

@techreport{BKP10-TR,
  author = {Ballard, G. and Kolda, T. and Plantenga, T.},
  title = {Efficiently Computing Tensor Eigenvalues on a {GPU}},
  month = {December},
  year = {2010},
  url = {http://csri.sandia.gov/Proceedings/}
}

@article{BB09,
  author = {Ballard, G. and Baxley, J.},
  title = {The Friedrichs extension of certain singular differential operators, II},
  journal = {Electronic Journal of Qualitative Theory of Differential Equations},
  month = {Oct},
  year = {2009},
  volume = {Special Edition I},
  number = {5},
  pages = {1--11},
  url = {http://www.emis.ams.org/journals/EJQTDE/sped1/105.html}
}

@inproceedings{BDHS09,
  author = {Ballard, G. and Demmel, J. and Holtz, O. and Schwartz, O.},
  title = {Communication-optimal parallel and sequential {C}holesky decomposition},
  booktitle = {{Proceedings of the 22nd Symposium on Parallelism in Algorithms and Architectures}},
  publisher = {ACM},
  address = {Calgary, AB, Canada},
  month = {June},
  year = {2009},
  series = {SPAA '09},
  pages = {245--252},
  url = {http://doi.acm.org/10.1145/1583991.1584054}
}

@mastersthesis{Ballard08,
  author = {Ballard, G.},
  title = {Asymptotic behavior of the eigenvalues of Toeplitz integral operators associated with the Hankel transform},
  month = {May},
  year = {2008},
  url = {http://wakespace.lib.wfu.edu/handle/10339/14676}
}

@article{BB08,
  author = {Ballard, G. and Baxley, J.},
  title = {Qualitative behavior and computation of multiple solutions of singular nonlinear boundary value problems},
  journal = {Involve},
  month = {Feb},
  year = {2008},
  volume = {1},
  number = {1},
  pages = {21--31},
  url = {http://msp.org/involve/2008/1-1/p03.xhtml}
}

@article{Ballard06,
  author = {Ballard, G.},
  title = {Modeling Protein Dependency Networks Using CoCoA},
  journal = {Crossroads},
  publisher = {ACM},
  address = {New York, NY, USA},
  month = {September},
  year = {2006},
  volume = {13},
  number = {1},
  pages = {6--6},
  url = {http://doi.acm.org/10.1145/1217666.1217672}
}

@article{BBN06,
  author = {Ballard, G. and Baxley, J. and Libbus, N.},
  title = {Qualitative behavior and computation of multiple solutions of nonlinear boundary value problems},
  journal = {Communications on Pure and Applied Analysis},
  month = {Mar},
  year = {2006},
  volume = {5},
  number = {2},
  pages = {251--259},
  url = {http://www.aimsciences.org/journals/displayArticles.jsp?paperID=1769}
}