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Grey Ballard
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Books and Theses
- 2013
- [b1]Grey Ballard:
Avoiding Communication in Dense Linear Algebra. University of California, Berkeley, USA, 2013
Journal Articles
- 2024
- [j25]Hussam Al Daas
, Grey Ballard
, Laura Grigori
, Suraj Kumar
, Kathryn Rouse
:
Communication Lower Bounds and Optimal Algorithms for Multiple Tensor-Times-Matrix Computation. SIAM J. Matrix Anal. Appl. 45(1): 450-477 (2024) - [j24]Rachel Minster, Zitong Li, Grey Ballard
:
Parallel Randomized Tucker Decomposition Algorithms. SIAM J. Sci. Comput. 46(2): 1186- (2024) - 2023
- [j23]Rachel Minster, Irina Viviano, Xiaotian Liu
, Grey Ballard:
CP decomposition for tensors via alternating least squares with QR decomposition. Numer. Linear Algebra Appl. 30(6) (2023) - [j22]Hussam Al Daas
, Grey Ballard
, Paul Cazeaux
, Eric Hallman
, Agnieszka Miedlar, Mirjeta Pasha
, Tim W. Reid, Arvind K. Saibaba
:
Randomized Algorithms for Rounding in the Tensor-Train Format. SIAM J. Sci. Comput. 45(1): 74- (2023) - 2022
- [j21]Hussam Al Daas
, Grey Ballard
, Peter Benner
:
Parallel Algorithms for Tensor Train Arithmetic. SIAM J. Sci. Comput. 44(1): 25- (2022) - 2021
- [j20]Srinivas Eswar
, Koby Hayashi
, Grey Ballard
, Ramakrishnan Kannan
, Michael A. Matheson, Haesun Park:
PLANC: Parallel Low-rank Approximation with Nonnegativity Constraints. ACM Trans. Math. Softw. 47(3): 20:1-20:37 (2021) - 2020
- [j19]Grey Ballard
, Alicia M. Klinvex, Tamara G. Kolda
:
TuckerMPI: A Parallel C++/MPI Software Package for Large-scale Data Compression via the Tucker Tensor Decomposition. ACM Trans. Math. Softw. 46(2): 13:1-13:31 (2020) - 2019
- [j18]Fatemeh Mokhtari, Paul J. Laurienti, Walter Jack Rejeski, Grey Ballard
:
Dynamic Functional Magnetic Resonance Imaging Connectivity Tensor Decomposition: A New Approach to Analyze and Interpret Dynamic Brain Connectivity. Brain Connect. 9(1): 95-112 (2019) - 2018
- [j17]Casey Battaglino, Grey Ballard
, Tamara G. Kolda
:
A Practical Randomized CP Tensor Decomposition. SIAM J. Matrix Anal. Appl. 39(2): 876-901 (2018) - [j16]Ramakrishnan Kannan
, Grey Ballard
, Haesun Park:
MPI-FAUN: An MPI-Based Framework for Alternating-Updating Nonnegative Matrix Factorization. IEEE Trans. Knowl. Data Eng. 30(3): 544-558 (2018) - 2017
- [j15]Grey Ballard, Mary W. Hall
, Tim Harris, Brandon Lucia:
Guest Editor Introduction PPoPP 2016, Special Issue 2 of 2. ACM Trans. Parallel Comput. 4(1): 1:1-1:2 (2017) - [j14]Grey Ballard, Mary W. Hall
, Tim Harris, Brandon Lucia:
Guest Editor Introduction PPoPP 2016, Special Issue 2 of 2. ACM Trans. Parallel Comput. 4(2): 6:1-6:2 (2017) - 2016
- [j13]Grey Ballard
, Austin R. Benson
, Alex Druinsky, Benjamin Lipshitz
, Oded Schwartz:
Improving the Numerical Stability of Fast Matrix Multiplication. SIAM J. Matrix Anal. Appl. 37(4): 1382-1418 (2016) - [j12]Grey Ballard
, Christopher M. Siefert, Jonathan J. Hu:
Reducing Communication Costs for Sparse Matrix Multiplication within Algebraic Multigrid. SIAM J. Sci. Comput. 38(3) (2016) - [j11]Ariful Azad, Grey Ballard
, Aydin Buluç
, James Demmel, Laura Grigori, Oded Schwartz, Sivan Toledo, Samuel Williams
:
Exploiting Multiple Levels of Parallelism in Sparse Matrix-Matrix Multiplication. SIAM J. Sci. Comput. 38(6) (2016) - [j10]Grey Ballard
, Alex Druinsky, Nicholas Knight, Oded Schwartz:
Hypergraph Partitioning for Sparse Matrix-Matrix Multiplication. ACM Trans. Parallel Comput. 3(3): 18:1-18:34 (2016) - 2015
- [j9]Grey Ballard
, James Demmel, Laura Grigori, Mathias Jacquelin
, Nicholas Knight, Hong Diep Nguyen:
Reconstructing Householder vectors from Tall-Skinny QR. J. Parallel Distributed Comput. 85: 3-31 (2015) - [j8]Grey Ballard
, James Demmel, Nicholas Knight:
Avoiding Communication in Successive Band Reduction. ACM Trans. Parallel Comput. 1(2): 11:1-11:37 (2015) - 2014
- [j7]Grey Ballard
, Erin C. Carson
, James Demmel, Mark Hoemmen, Nicholas Knight, Oded Schwartz:
Communication lower bounds and optimal algorithms for numerical linear algebra. Acta Numer. 23: 1-155 (2014) - [j6]Grey Ballard
, James Demmel, Olga Holtz
, Oded Schwartz:
Communication costs of Strassen's matrix multiplication. Commun. ACM 57(2): 107-114 (2014) - [j5]Grey Ballard
, Dulceneia Becker, James Demmel, Jack J. Dongarra, Alex Druinsky, Inon Peled, Oded Schwartz, Sivan Toledo, Ichitaro Yamazaki:
Communication-Avoiding Symmetric-Indefinite Factorization. SIAM J. Matrix Anal. Appl. 35(4): 1364-1406 (2014) - 2012
- [j4]Grey Ballard
, James Demmel, Olga Holtz
, Oded Schwartz:
Graph expansion and communication costs of fast matrix multiplication. J. ACM 59(6): 32:1-32:23 (2012) - 2011
- [j3]Grey Ballard
, James Demmel, Olga Holtz
, Oded Schwartz:
Minimizing Communication in Numerical Linear Algebra. SIAM J. Matrix Anal. Appl. 32(3): 866-901 (2011) - 2010
- [j2]Grey Ballard, James Demmel, Olga Holtz
, Oded Schwartz:
Communication-optimal Parallel and Sequential Cholesky Decomposition. SIAM J. Sci. Comput. 32(6): 3495-3523 (2010) - 2006
- [j1]Grey Ballard:
Modeling protein dependency networks using CoCoA. ACM Crossroads 13(1): 6 (2006)
Conference and Workshop Papers
- 2024
- [c38]Cade Wiley, Grey Ballard:
Visualizing PRAM Algorithm for Mergesort. IPDPS (Workshops) 2024: 365-368 - [c37]Aditya Devarakonda, Grey Ballard:
Sequential and Shared-Memory Parallel Algorithms for Partitioned Local Depths. PP 2024: 53-64 - 2023
- [c36]Srinivas Eswar
, Benjamin Cobb
, Koby Hayashi
, Ramakrishnan Kannan
, Grey Ballard
, Richard W. Vuduc
, Haesun Park
:
Distributed-Memory Parallel JointNMF. ICS 2023: 301-312 - [c35]Hussam Al Daas
, Grey Ballard
, Laura Grigori
, Suraj Kumar
, Kathryn Rouse
:
Parallel Memory-Independent Communication Bounds for SYRK. SPAA 2023: 391-401 - 2022
- [c34]Hussam Al Daas, Grey Ballard, Lawton Manning:
Parallel Tensor Train Rounding using Gram SVD. IPDPS 2022: 930-940 - [c33]Hussam Al Daas, Grey Ballard, Laura Grigori, Suraj Kumar, Kathryn Rouse
:
Brief Announcement: Tight Memory-Independent Parallel Matrix Multiplication Communication Lower Bounds. SPAA 2022: 445-448 - 2021
- [c32]Grey Ballard, Sarah Parsons:
Visualizing Parallel Dynamic Programming using the Thread Safe Graphics Library. EduHPC@SC 2021: 24-31 - [c31]Zitong Li
, Qiming Fang, Grey Ballard
:
Parallel Tucker Decomposition with Numerically Accurate SVD. ICPP 2021: 49:1-49:11 - [c30]Grey Ballard, Jack Weissenberger, Luoping Zhang:
Accelerating Neural Network Training using Arbitrary Precision Approximating Matrix Multiplication Algorithms. ICPP Workshops 2021: 16:1-16:8 - 2020
- [c29]Lawton Manning, Grey Ballard, Ramakrishnan Kannan, Haesun Park:
Parallel Hierarchical Clustering using Rank-Two Nonnegative Matrix Factorization. HiPC 2020: 141-150 - [c28]Grey Ballard
, Kathryn Rouse
:
General Memory-Independent Lower Bound for MTTKRP. PP 2020: 1-11 - [c27]Srinivas Eswar
, Koby Hayashi, Grey Ballard
, Ramakrishnan Kannan, Richard W. Vuduc
, Haesun Park:
Distributed-memory parallel symmetric nonnegative matrix factorization. SC 2020: 74 - 2018
- [c26]Grey Ballard
, Koby Hayashi
, Ramakrishnan Kannan:
Parallel Nonnegative CP Decomposition of Dense Tensors. HiPC 2018: 22-31 - [c25]Oguz Kaya, Ramakrishnan Kannan, Grey Ballard
:
Partitioning and Communication Strategies for Sparse Non-negative Matrix Factorization. ICPP 2018: 90:1-90:10 - [c24]Grey Ballard
, Nicholas Knight, Kathryn Rouse
:
Communication Lower Bounds for Matricized Tensor Times Khatri-Rao Product. IPDPS 2018: 557-567 - [c23]Koby Hayashi
, Grey Ballard
, Yujie Jiang, Michael J. Tobia
:
Shared-memory parallelization of MTTKRP for dense tensors. PPoPP 2018: 393-394 - [c22]Grey Ballard
, James Demmel, Laura Grigori, Mathias Jacquelin, Nicholas Knight:
A 3D Parallel Algorithm for QR Decomposition. SPAA 2018: 55-65 - 2017
- [c21]Edgar Solomonik, Grey Ballard
, James Demmel, Torsten Hoefler:
A Communication-Avoiding Parallel Algorithm for the Symmetric Eigenvalue Problem. SPAA 2017: 111-121 - 2016
- [c20]Woody Austin, Grey Ballard
, Tamara G. Kolda
:
Parallel Tensor Compression for Large-Scale Scientific Data. IPDPS 2016: 912-922 - [c19]Ramakrishnan Kannan, Grey Ballard
, Haesun Park:
A high-performance parallel algorithm for nonnegative matrix factorization. PPoPP 2016: 9:1-9:11 - [c18]Grey Ballard, James Demmel, Andrew Gearhart, Benjamin Lipshitz
, Yishai Oltchik, Oded Schwartz, Sivan Toledo:
Network Topologies and Inevitable Contention. COMHPC@SC 2016: 39-52 - 2015
- [c17]Grey Ballard
, Tamara G. Kolda
, Ali Pinar, C. Seshadhri:
Diamond Sampling for Approximate Maximum All-Pairs Dot-Product (MAD) Search. ICDM 2015: 11-20 - [c16]Austin R. Benson
, Grey Ballard
:
A framework for practical parallel fast matrix multiplication. PPoPP 2015: 42-53 - [c15]Grey Ballard, Alex Druinsky, Nicholas Knight, Oded Schwartz:
Brief Announcement: Hypergraph Partitioning for Parallel Sparse Matrix-Matrix Multiplication. SPAA 2015: 86-88 - 2014
- [c14]Grey Ballard
, James Demmel, Laura Grigori, Mathias Jacquelin
, Hong Diep Nguyen, Edgar Solomonik:
Reconstructing Householder Vectors from Tall-Skinny QR. IPDPS 2014: 1159-1170 - 2013
- [c13]Grey Ballard
, Dulceneia Becker, James Demmel, Jack J. Dongarra, Alex Druinsky, Inon Peled, Oded Schwartz, Sivan Toledo, Ichitaro Yamazaki:
Implementing a Blocked Aasen's Algorithm with a Dynamic Scheduler on Multicore Architectures. IPDPS 2013: 895-907 - [c12]Grey Ballard
, Aydin Buluç
, James Demmel, Laura Grigori, Benjamin Lipshitz
, Oded Schwartz, Sivan Toledo:
Communication optimal parallel multiplication of sparse random matrices. SPAA 2013: 222-231 - [c11]Grey Ballard, James Demmel, Benjamin Lipshitz
, Oded Schwartz, Sivan Toledo:
Communication efficient gaussian elimination with partial pivoting using a shape morphing data layout. SPAA 2013: 232-240 - 2012
- [c10]Grey Ballard, James Demmel, Olga Holtz
, Benjamin Lipshitz
, Oded Schwartz:
Graph Expansion Analysis for Communication Costs of Fast Rectangular Matrix Multiplication. MedAlg 2012: 13-36 - [c9]Grey Ballard, James Demmel, Nicholas Knight:
Communication avoiding successive band reduction. PPoPP 2012: 35-44 - [c8]Benjamin Lipshitz
, Grey Ballard, James Demmel, Oded Schwartz:
Communication-avoiding parallel strassen: implementation and performance. SC 2012: 101 - [c7]Grey Ballard, James Demmel, Olga Holtz, Benjamin Lipshitz
, Oded Schwartz:
Brief announcement: strong scaling of matrix multiplication algorithms and memory-independent communication lower bounds. SPAA 2012: 77-79 - [c6]Grey Ballard, James Demmel, Olga Holtz, Benjamin Lipshitz
, Oded Schwartz:
Communication-optimal parallel algorithm for strassen's matrix multiplication. SPAA 2012: 193-204 - 2011
- [c5]Michael J. Anderson, Grey Ballard
, James Demmel, Kurt Keutzer:
Communication-Avoiding QR Decomposition for GPUs. IPDPS 2011: 48-58 - [c4]Grey Ballard
, Tamara G. Kolda
, Todd D. Plantenga:
Efficiently Computing Tensor Eigenvalues on a GPU. IPDPS Workshops 2011: 1340-1348 - [c3]Grey Ballard
, James Demmel, Olga Holtz, Oded Schwartz:
Graph expansion and communication costs of fast matrix multiplication: regular submission. SPAA 2011: 1-12 - [c2]Grey Ballard, James Demmel, Andrew Gearhart:
Brief announcement: communication bounds for heterogeneous architectures. SPAA 2011: 257-258 - 2009
- [c1]Grey Ballard, James Demmel, Olga Holtz, Oded Schwartz:
Communication-optimal parallel and sequential Cholesky decomposition: extended abstract. SPAA 2009: 245-252
Informal and Other Publications
- 2024
- [i34]Koby Hayashi, Sinan G. Aksoy, Grey Ballard, Haesun Park:
Randomized Algorithms for Symmetric Nonnegative Matrix Factorization. CoRR abs/2402.08134 (2024) - 2023
- [i33]Aditya Devarakonda, Grey Ballard:
Sequential and Shared-Memory Parallel Algorithms for Partitioned Local Depths. CoRR abs/2307.16652 (2023) - 2022
- [i32]Hussam Al Daas, Grey Ballard, Laura Grigori, Suraj Kumar, Kathryn Rouse:
Tight Memory-Independent Parallel Matrix Multiplication Communication Lower Bounds. CoRR abs/2205.13407 (2022) - [i31]Hussam Al Daas, Grey Ballard, Laura Grigori, Suraj Kumar, Kathryn Rouse:
Communication Lower Bounds and Optimal Algorithms for Multiple Tensor-Times-Matrix Computation. CoRR abs/2207.10437 (2022) - [i30]Rachel Minster, Zitong Li, Grey Ballard:
Parallel Randomized Tucker Decomposition Algorithms. CoRR abs/2211.13028 (2022) - 2021
- [i29]Hussam Al Daas, Grey Ballard, Paul Cazeaux, Eric Hallman, Agnieszka Miedlar
, Mirjeta Pasha, Tim W. Reid, Arvind K. Saibaba:
Randomized algorithms for rounding in the Tensor-Train format. CoRR abs/2110.04393 (2021) - [i28]Rachel Minster, Irina Viviano, Xiaotian Liu, Grey Ballard:
CP Decomposition for Tensors via Alternating Least Squares with QR Decomposition. CoRR abs/2112.10855 (2021) - 2020
- [i27]Hussam Al Daas, Grey Ballard
, Peter Benner:
Parallel Algorithms for Tensor Train Arithmetic. CoRR abs/2011.06532 (2020) - 2019
- [i26]Grey Ballard, Alicia M. Klinvex, Tamara G. Kolda:
TuckerMPI: A Parallel C++/MPI Software Package for Large-scale Data Compression via the Tucker Tensor Decomposition. CoRR abs/1901.06043 (2019) - [i25]Chao Wang, Grey Ballard, Robert J. Plemmons, Sudhakar Prasad:
Joint 3D Localization and Classification of Space Debris using a Multispectral Rotating Point Spread Function. CoRR abs/1906.04749 (2019) - [i24]Srinivas Eswar, Koby Hayashi, Grey Ballard
, Ramakrishnan Kannan, Michael A. Matheson, Haesun Park:
PLANC: Parallel Low Rank Approximation with Non-negativity Constraints. CoRR abs/1909.01149 (2019) - [i23]Grey Ballard
, James Demmel, Ioana Dumitriu, Alexander Rusciano:
A Generalized Randomized Rank-Revealing Factorization. CoRR abs/1909.06524 (2019) - 2018
- [i22]Grey Ballard, Christian Ikenmeyer, J. M. Landsberg, Nick Ryder:
The geometry of rank decompositions of matrix multiplication II: 3×3 matrices. CoRR abs/1801.00843 (2018) - [i21]Grey Ballard, James Demmel, Laura Grigori, Mathias Jacquelin, Nicholas Knight:
A 3D Parallel Algorithm for QR Decomposition. CoRR abs/1805.05278 (2018) - [i20]Grey Ballard, Koby Hayashi, Ramakrishnan Kannan:
Parallel Nonnegative CP Decomposition of Dense Tensors. CoRR abs/1806.07985 (2018) - 2017
- [i19]Casey Battaglino, Grey Ballard, Tamara G. Kolda:
A Practical Randomized CP Tensor Decomposition. CoRR abs/1701.06600 (2017) - [i18]Grey Ballard, Nicholas Knight, Kathryn Rouse:
Communication Lower Bounds for Matricized Tensor Times Khatri-Rao Product. CoRR abs/1708.07401 (2017) - [i17]Koby Hayashi, Grey Ballard, Jeffrey Jiang, Michael J. Tobia:
Shared Memory Parallelization of MTTKRP for Dense Tensors. CoRR abs/1708.08976 (2017) - 2016
- [i16]Grey Ballard, Alex Druinsky, Nicholas Knight, Oded Schwartz:
Hypergraph Partitioning for Sparse Matrix-Matrix Multiplication. CoRR abs/1603.05627 (2016) - [i15]Edgar Solomonik, Grey Ballard, James Demmel, Torsten Hoefler:
A communication-avoiding parallel algorithm for the symmetric eigenvalue problem. CoRR abs/1604.03703 (2016) - [i14]Ramakrishnan Kannan, Grey Ballard, Haesun Park:
MPI-FAUN: An MPI-Based Framework for Alternating-Updating Nonnegative Matrix Factorization. CoRR abs/1609.09154 (2016) - 2015
- [i13]Grey Ballard, Ali Pinar, Tamara G. Kolda
, C. Seshadhri:
Diamond Sampling for Approximate Maximum All-pairs Dot-product (MAD) Search. CoRR abs/1506.03872 (2015) - [i12]Grey Ballard, Austin R. Benson, Alex Druinsky, Benjamin Lipshitz, Oded Schwartz:
Improving the numerical stability of fast matrix multiplication algorithms. CoRR abs/1507.00687 (2015) - [i11]Ramakrishnan Kannan, Grey Ballard, Haesun Park:
A High-Performance Parallel Algorithm for Nonnegative Matrix Factorization. CoRR abs/1509.09313 (2015) - [i10]Ariful Azad, Grey Ballard, Aydin Buluç, James Demmel, Laura Grigori, Oded Schwartz, Sivan Toledo, Samuel Williams:
Exploiting Multiple Levels of Parallelism in Sparse Matrix-Matrix Multiplication. CoRR abs/1510.00844 (2015) - [i9]Woody Austin, Grey Ballard, Tamara G. Kolda
:
Parallel Tensor Compression for Large-Scale Scientific Data. CoRR abs/1510.06689 (2015) - 2014
- [i8]Austin R. Benson, Grey Ballard:
A Framework for Practical Parallel Fast Matrix Multiplication. CoRR abs/1409.2908 (2014) - 2012
- [i7]Grey Ballard, James Demmel, Olga Holtz, Benjamin Lipshitz, Oded Schwartz:
Communication-Optimal Parallel Algorithm for Strassen's Matrix Multiplication. CoRR abs/1202.3173 (2012) - [i6]Grey Ballard, James Demmel, Olga Holtz, Benjamin Lipshitz, Oded Schwartz:
Strong Scaling of Matrix Multiplication Algorithms and Memory-Independent Communication Lower Bounds. CoRR abs/1202.3177 (2012) - [i5]Grey Ballard, James Demmel, Olga Holtz, Benjamin Lipshitz, Oded Schwartz:
Graph Expansion Analysis for Communication Costs of Fast Rectangular Matrix Multiplication. CoRR abs/1209.2184 (2012) - 2011
- [i4]Grey Ballard, James Demmel, Olga Holtz, Oded Schwartz:
Graph Expansion and Communication Costs of Fast Matrix Multiplication. CoRR abs/1109.1693 (2011) - 2010
- [i3]Grey Ballard, James Demmel, Ioana Dumitriu:
Minimizing Communication for Eigenproblems and the Singular Value Decomposition. CoRR abs/1011.3077 (2010) - 2009
- [i2]Grey Ballard, James Demmel, Olga Holtz, Oded Schwartz:
Communication-optimal Parallel and Sequential Cholesky Decomposition. CoRR abs/0902.2537 (2009) - [i1]Grey Ballard, James Demmel, Olga Holtz, Oded Schwartz:
Minimizing Communication in Linear Algebra. CoRR abs/0905.2485 (2009)
Coauthor Index
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