Contact Information

solomon2@illinois.edu
4229 Thomas M. Siebel Center for Computer Science
201 North Goodwin Avenue
Urbana, IL 61801-2302
217-300-4794

Announcements

(July 2020) Check out our group's recent work on tensor networks, including topics on handling group symmetry in tensor networks, their theoretical stability, parallel DMRG, tensor network methods by automatic differentiation, and parallel simulation of 2D quantum systems. (this IQUIST seminar briefly covers each of these works)

(April 2020) My NSF CAREER proposal on new tensor algorithms and libraries has been awarded!

(October 2019) Releasing new papers on tensor hardware accelerators, tensor completion, tensor decomposition, and a survey on fast convolution algorithms.

(October 2019) I have been awarded the 2020 SIAM Activity Group on Supercomputing Early Career Prize based on our work on parallel communication avoiding algorithms for the symmetric eigenvalue problem.

(September 2019) The NSF Office of Advanced Cyberinfrastructure has awarded us (jointly with Lucas Wagner, Garnet Chan, and Timothy Berkbelbach) $1.8M for research on scalable software and methods for quantum chemistry and materials simulation.

(March 2019) Our work on communication-efficient parallel sorting lead by Vipul Harsh will be presented as a regular paper at SPAA 2019.

(January 2019) Our paper on parallel QR factorization lead by Edward Hutter has been accepeted for publication at IPDPS 2019.

(December 2017) Finished teaching course on parallel numerical algorithms; slides, partial notes, and all lecture videos are freely available.

(June 2017) I was awarded the 2017 Householder prize for the best dissertation in numerical linear algebra in the last 3 years.

(December 2016) Finished building and teaching an advanced course of 29 lectures (36 hours) on communication complexity of numerical and combinatorial algorithms!

Teaching

Software

For more software efforts I am involved in, see Cyclops community software and my github page.

Research Interests

numerical linear algebra
parallel algorithms
tensor networks
tensor decompositions
communication-avoiding algorithms
communication lower bounds
high performance computing
parallel programming systems
computational quantum chemistry
graph algorithms
quantum algorithms
bilinear algorithms

Fellowships and Awards

Dean's Award For Excellence in Research 2021
SIAM Activity Group on Supercomputing Early Career Prize 2020
IEEE CS TCHPC Award for Excellence for Early Career Researchers in High Performance Computing 2018
Alston S. Householder Prize 2017
ETH Zurich Postdoctoral Fellowship 2014-2016
DOE Computational Science Graduate Fellowship 2010-2014
David J. Sakrison Memorial Prize 2014
NERSC Award for Innovative Use of High Performance Computing 2013
ACM-IEEE George Michael HPC Fellowship 2013

Previous Affiliations

Postdoctoral Researcher, ETH Zurich, 2014-2016
PhD, University of California Berkeley, 2010-2014
BS, University of Illinois at Urbana-Champaign, 2008-2010
More information is available in my CV

Publications

Selected publications are marked in red.

article	Samah Karim and Edgar Solomonik Efficient preconditioners for interior point methods via a new Schur complementation strategy arxiv:2104.12916 [math.NA], April 2021. bibtex
article	Linjian Ma and Edgar Solomonik Fast and accurate randomized algorithms for low-rank tensor decompositions arXiv:2104.01101 [math.NA], April 2021. bibtex
article	Edward Hutter and Edgar Solomonik. Confidence-based approximation for performance prediction using execution path analysis IEEE International Parallel and Distributed Processing Symposium (to appear), arXiv:2103.01304 [cs.DC], May 2021. bibtex
article	Linjian Ma and Edgar Solomonik Efficient parallel CP decomposition with pairwise perturbation and multi-sweep dimension tree IEEE International Parallel and Distributed Processing Symposium (to appear), arXiv:2010.12056 [cs.DC], May 2021. bibtex
article	Yang Gao, Phillip Helms, Garnet Kin-Lic Chan, and Edgar Solomonik Automatic transformation of irreducible representations for efficient contraction of tensors with cyclic group symmetry arXiv:2007.08056 [physics.comp-ph], July 2020. bibtex
article	Ryan Levy, Edgar Solomonik, and Bryan Clark Distributed-memory DMRG via sparse and dense parallel tensor contractions ACM/IEEE Supercomputing Conference (SC), Atlanta, GA, November 2020 (to appear, preprint available, arXiv:2007.05540 [cs.DC]). bibtex
article	Yuchen Pang, Tianyi Hao, Annika Dugad, Yiqing Zhou, and Edgar Solomonik Efficient 2D tensor network simulation of quantum systems ACM/IEEE Supercomputing Conference (SC), Atlanta, GA, November 2020 (to appear, preprint available, arXiv:2006.15234 [cs.DC]). bibtex
article	Linjian Ma, Jiayu Ye, and Edgar Solomonik AutoHOOT: Automatic High-Order Optimization for Tensors International Conference on Parallel Architectures and Compilation Techniques (PACT), October 2020 (to appear, preprint available arXiv:2005.04540 [cs.MS]). bibtex
article	Caleb Ju and Edgar Solomonik Derivation and analysis of fast bilinear algorithms for convolution SIAM Review, 2020 (to appear, preprint available, arXiv:1910.13367 [math.NA]). bibtex
article	Edgar Solomonik and James Demmel Fast bilinear algorithms for symmetric tensor contractions Computational Methods in Applied Mathematics (CMAM), 2020. report bibtex
report	Yifan Zhang and Edgar Solomonik On stability of tensor networks and canonical forms arXiv:2001.01191 [math.NA], January 2020. bibtex
article	Maciej Besta, Raghavendra Kanakagiri, Harun Mustafa, Mikhail Karasikov, Gunnar Rätsch, Torsten Hoefler, and Edgar Solomonik Communication-efficient Jaccard similarity for high-performance distributed genome comparisons IEEE International Parallel and Distributed Processing Symposium (IPDPS), May 2020. bibtex
article	Navjot Singh, Linjian Ma, Hongru Yang, and Edgar Solomonik Comparison of accuracy and scalability of Gauss-Newton and alternating least squares for CP decomposition SIAM Journal of Scientific Computing (to appear), arXiv:1910.12331 [math.NA], October 2019. bibtex
report	Zecheng Zhang, Xiaoxiao Wu, Naijing Zhang, Siyuan Zhang, and Edgar Solomonik Enabling distributed-memory tensor completion in Python using new sparse tensor kernels arXiv:1910.02371 [cs.DC], October 2019. bibtex
article	Kartik Hegde, Hadi Asghari-Moghaddam, Michael Pellauer, Neal Crago, Aamer Jaleel, Edgar Solomonik, Joel Emer, and Christopher W. Fletcher ExTensor: An accelerator for sparse tensor algebra IEEE/ACM International Symposium on Microarchitecture (MICRO), October 2019. bibtex
article	Vipul Harsh, Laxmikant Kale, and Edgar Solomonik Histogram sort with sampling 31st ACM Symposium on Parallelism in Algorithms and Architectures (SPAA), ACM, Phoenix, AZ, USA, June 2019. bibtex
article	Edward Hutter and Edgar Solomonik Communication-avoiding Cholesky-QR2 for rectangular matrices IEEE International Parallel and Distributed Processing Symposium (IPDPS), Rio de Jianero, Brazil, May, 2019. bibtex
report	Linjian Ma and Edgar Solomonik Accelerating alternating least squares for tensor decomposition by pairwise perturbation arXiv:1811.10573 [math.NA], November 2018. bibtex
report	Edwin Pednault, John A. Gunnels, Giacomo Nannicini, Lior Horesh, Thomas Magerlein, Edgar Solomonik, Erik Draeger, Eric Holland, and Robert Wisnieff Breaking the 49-qubit barrier in the simulation of quantum circuits arXiv:1710.05867 [quant-ph], October 2017. bibtex
article	Edgar Solomonik, Maciej Besta, Flavio Vella, and Torsten Hoefler Scaling betweenness centrality using communication-efficient sparse matrix multiplication ACM/IEEE Supercomputing Conference (SC), Denver, Colorado, November 2017. report errata bibtex
article	Edgar Solomonik, Grey Ballard, James Demmel, and Torsten Hoefler A communication-avoiding parallel algorithm for the symmetric eigenvalue problem 29th ACM Symposium on Parallelism in Algorithms and Architectures (SPAA), ACM, New York, NY, USA, 111-121, July 2017. report bibtex
report	Edgar Solomonik, James Demmel, and Torsten Hoefler Communication lower bounds of bilinear algorithms for symmetric tensor contractions arXiv:1707.04618 [cs.DC], July 2017. bibtex
article	Maciej Besta, Michal Podstawski, Linus Groner, Edgar Solomonik, and Torsten Hoefler To push or to pull: on reducing communication and synchronization in graph computations 26th ACM Symposium on High Performance Parallel and Distributed Computing (HPDC), ACM, New York, NY, USA, 93-104, June 2017. report bibtex
article	Tobias Wicky, Edgar Solomonik, and Torsten Hoefler Communication-avoiding parallel algorithms for solving triangular systems of linear equations IEEE International Parallel and Distributed Processing Symposium (IPDPS), Orlando, FL, June 2017, pp. 678-687. report bibtex
article	Maciej Besta, Florian Marending, Edgar Solomonik and Torsten Hoefler. SlimSell: A vectorizable graph representation for breadth-first search IEEE International Parallel and Distributed Processing Symposium (IPDPS), Orlando, FL, June 2017, pp. 32-41. report bibtex
article	Edgar Solomonik, Erin Carson, Nicholas Knight, and James Demmel Trade-offs between synchronization, communication, and computation in parallel linear algebra computations ACM Transactions on Parallel Computing (TOPC), June 2016. bibtex
report	Edgar Solomonik and Torsten Hoefler Sparse tensor algebra as a parallel programming model arXiv:1512.00066 [cs.MS], November 2015. bibtex
report	Edgar Solomonik, James Demmel, and Torsten Hoefler Communication lower bounds for tensor contraction algorithms Technical report, ETH Zurich, January 2015. bibtex
thesis	Edgar Solomonik Provably efficient algorithms for numerical tensor algebra Dissertation, University of California, Berkeley, August 2014. bibtex
article	Edgar Solomonik, Erin Carson, Nicholas Knight, and James Demmel Tradeoffs between synchronization, communication, and work in parallel linear algebra computations 26th ACM Symposium on Parallelism in Algorithms and Architectures (SPAA), Prague, Czech Republic, June 2014. report bibtex Superseded by extended journal paper
article	Edgar Solomonik, Devin Matthews, Jeff R. Hammond, John F. Stanton, and James Demmel A massively parallel tensor contraction framework for coupled-cluster computations Journal of Parallel and Distributed Computing, June 2014. report bibtex
article	Grey Ballard, James Demmel, Laura Grigori, Mathias Jacquelin, Hong Diep Nguyen, and Edgar Solomonik Reconstructing Householder vectors from Tall-Skinny QR IEEE International Parallel and Distributed Processing Symposium (IPDPS), Phoenix, AZ, May 2014. report bibtex
article	Edgar Solomonik, Devin Matthews, Jeff Hammond, and James Demmel Cyclops Tensor Framework: reducing communication and eliminating load imbalance in massively parallel contractions IEEE International Parallel and Distributed Processing Symposium (IPDPS), Boston, MA, May 2013. report bibtex
article	Edgar Solomonik, Aydin Buluc, and James Demmel Minimizing communication in all-pairs shortest-paths IEEE International Parallel and Distributed Processing Symposium (IPDPS), Boston, MA, May 2013. report bibtex
article	Michael Driscoll, Evangelos Georganas, Penporn Koanantakool, Edgar Solomonik, and Katherine Yelick A communication-optimal n-body algorithm for direct interactions IEEE International Parallel and Distributed Processing Symposium (IPDPS), Boston, MA, May 2013. bibtex
article	Evangelos Georganas, Jorge Gonzalez-Dominguez, Edgar Solomonik, Yili Zheng, Juan Tourino and Katherine Yelick Communication avoiding and overlapping for numerical linear algebra ACM/IEEE Supercomputing Conference (SC), Salt Lake City, Utah, November 2012. report bibtex
article	Edgar Solomonik and James Demmel Matrix multiplication on multidimensional torus networks Springer Lecture Notes in Computer Science (LNCS), Proceedings of VECPAR, Kobe, Japan, July 2012. report bibtex
report	Edgar Solomonik, Jeff Hammond, and James Demmel A preliminary analysis of Cyclops Tensor Framework EECS Department, University of California, Berkeley, March 2012. bibtex
article	Edgar Solomonik, Abhinav Bhatele, and James Demmel Improving communication performance in dense linear algebra via topology aware collectives ACM/IEEE Supercomputing Conference (SC), Seattle, WA, November 2011. report bibtex
article	Edgar Solomonik and James Demmel Communication-optimal parallel 2.5D matrix multiplication and LU factorization algorithms Lecture Notes in Computer Science, Euro-Par, Bordeaux, France, August 2011. "Distinguished Paper" report errata bibtex
article	Laxmikant Kale and Edgar Solomonik Parallel sorting Encyclopedia of Parallel Computing (pp. 1855-1862), Springer, David Padua, Ed., 2011. bibtex
article	Edgar Solomonik and Laxmikant V. Kale Highly scalable parallel sorting IEEE International Parallel and Distributed Processing Symposium (IPDPS), Atlanta, GA, April 2010. bibtex
article	Vivek Kale and Edgar Solomonik Parallel sorting pattern Workshop on Parallel Programming Patterns (ParaPLOP), March 2010. bibtex
article	Abhinav Bhatele, Lukasz Wesolowski, Eric Bohm, Edgar Solomonik, and Laxmikant V. Kale Understanding application performance via micro-benchmarks on three large supercomputers: Intrepid, Ranger and Jaguar International Journal of High Performance Computing Applications (IJHPCA), November 2010. bibtex

Talks

slides May 2021; Quantum Information for Mathematics, Economics, and Statistics; IMSI, IL USA; Tensor Optimization Libraries and Algorithms for Quantum Simulation

slides March 2021; SIAM CSE; New Methods and Software for Tensor Computations

slides February 2021; Fast Code seminar; Scalable Algorithms for Tensor Computations

slides October 2020; SPCL_Bcast(COMM_WORLD) seminar; High Performance Tensor Computations

slides July 2020; IQUIST seminar; UIUC Tensor Algorithms and Software on Quantum Simulation

slides February 2020; SIAM PP; Seattle WA, USA; Scalable Algorithms for Tensor Computations

slides December 2019; University of Utah; Utah, USA; Scalable Algorithms for Tensor Computations

slides March 2019; SIAM CSE; Spokane WA, USA; Accelerating Alternating Least Squares for Tensor Decomposition by Pairwise Perturbation

slides January 2019; Invited Workshop on Compiler Techniques for Sparse Tensor Algebra; Cambridge MA, USA; Scalable Tensor Computations with Cyclops and Faster Algorithms for Alternating Least Squares

slides January 2019; Enabling Quantum Leap: Quantum algorithms for quantum chemistry and materials; Alexandria VA, USA; Classical Computer Science and Quantum Computing: High Performance Computing and Quantum Simulation

slides November 2018; Conference on Sparse Direct Solvers; Purdue; Lafayette IN, USA; Comunication-avoiding factorization algorithms

slides demo July 2018; PASC; Basel, Switzerland; Parallel Tensor Computations in Python or C++ Using Cyclops

slides demo June 2018; PMAA keynote talk; Zurich, Switzerland; Scalable Tensor Algorithms for Scientific Computing

slides March 2018; American Chemical Society (ACS) Annual Meeting; New Orleans LA, USA; Scalable Quantum Chemistry with Cyclops

slides Nov 2017; Supercomputing; Denver CO, USA; Scaling betweenness centrality using communication-efficient sparse matrix multiplication

slides Oct 2017; Seminar; Argonne National Laboratory; Argonne IL, USA; A massively parallel library for matrix and tensor algorithms

slides Sep 2017; Theory Seminar; University of Illinois at Urbana-Champaign; Urbana IL, USA; Strassen-like algorithms for symmetric tensor contractions

slides demo Sep 2017; Simons CCQ Tensor Network Workshop; New York NY, USA; Leveraging sparsity and symmetry in parallel tensor contractions

slides July 2017; SPAA; Washington DC, USA; A communication-avoiding parallel algorithm for the symmetric eigenvalue problem

slides June 2017; Householder prize lecture; Blacksburg VA, USA; Towards an algebraic formalism for scalable numerical algorithms

slides June 2017; Householder Symposium XX; Blacksburg VA, USA; A communication-avoiding parallel algorithm for the symmetric eigenvalue problem

slides May 2017; Illinois Data Science Fundamentals Summit; Urbana IL, USA; Scalable numerical linear algebra for data science

slides May 2017; MolSSI Workshop on Core Software Blocks in Quantum Chemistry: Tensors and Integrals; Monterey Bay CA, USA; An Overview of Cyclops Tensor Framework

slides April 2017; Scientific and Statistcal Computing Seminar; University of Chicago; Chicago IL, USA; Strassen-like algorithms for symmetric tensor contractions

slides March 2017; Theory Seminar; University of Illinois at Urbana-Champaign; Urbana IL, USA; Communication cost models and a few lower and upper bounds

slides February 2017; SIAM CSE; Atlanta GA, USA; A distributed memory library for sparse tensor functions and contractions

slides July 2016; ISTCP; Grand Forks ND, USA; Developing scalable and portable electronic structure methods with Cyclops Tensor Framework

slides April 2016; Charm++ Workshop; University of Illinois at Urbana-Champaign; Urbana IL, USA; A parallel library for multidimensional array computations with runtime tuning

slides April 2016; SIAM PP; Paris, France; Low rank bilinear algorithms for symmetric tensor contractions

slides March 2016; University of California, Davis; Davis CA, USA; Provably efficient algorithms for multilinear algebra

slides March 2016; University of Toronto; Toronto ON, Canada; Algorithms as multilinear tensor equations

slides March 2016; University of Illinois at Urbana-Champaign; Urbana IL, USA; Algorithms as multilinear tensor equations

slides March 2016; Stony Brook University; Stony Brook NY, USA; Algorithms as multilinear tensor equations

slides February 2016; California Institute of Technology; Pasadena CA, USA; Algorithms as multilinear tensor equations

slides February 2016; University of Colorado, Boulder; Boulder CO, USA; Algorithms as multilinear tensor equations

slides February 2016; Georgia Institute of Technology; Atlanta GA, USA; Algorithms as multilinear tensor equations

slides February 2016; Cornell University; Ithaca NY, USA; Provably efficient algorithms as tensor equations

slides January 2016; TU München; Munich, Germany; Algorithms as multilinear tensor equations

slides December 2015; Guest Lecture; Design of Parallel and High-Performance Computing; ETH Zurich, Switzerland; Distributed-memory models and algorithms

slides November 2015; MATHICSE Institute Seminar; EPFL; Lausanne, Switzerland; Provably efficient algorithms for tensor computations

slides October 2015; SIAM LA; Atlanta GA, USA; Minimizing communication in tensor contraction algorithms

slides October 2015; DMML; Berkeley CA, USA; Communication lower bounds for numerical tensor algebra

slides June 2015; QESC; Kobe, Japan; Efficient tensor contraction algorithms for coupled cluster

slides February 2015; Max-Planck-Institute for Chemical Energy Conversion; Mülheim, Germany; Efficient algorithms for tensor contractions in coupled-cluster

slides December 2014; Guest Lecture; Design of Parallel and High-Performance Computing; ETH Zurich, Switzerland; Distributed-memory models and algorithms

slides August 2014; Dissertation talk; Berkeley CA, USA; Provably efficient algorithms for numerical tensor algebra

slides July 2014; DOE CSGF Program Review; Washington DC, USA; Minimizing communication in numerical linear algebra

slides June 2014; SPAA; Prague, Czech Republic; Tradeoffs between synchronization, communication, and computation in parallel linear algebra computations

slides June 2014; ETH Zurich, Switzerland; Algorithms for contraction of tensors over a commutative ring

slides June 2014; Householder Symposium XIX; Spa, Belgium; Contracting symmetric tensors via fully-symmetric intermediates

slides Feb 2014; LBNL, Berkeley, CA; Cyclops Tensor Framework

slides Feb 2014; SIAM PP; Portland, OR; Tradeoffs between synchronization, communication, and work in parallel linear algebra computations

slides Feb 2014; Berkeley, CA; Tradeoffs between synchronization, communication, and work in parallel schedules

slides Feb 2014; Berkeley, CA; Fast tensor contraction algorithms for Coupled Cluster

slides Dec 2013; Laguna Beach, CA; A distributed-memory framework for tensor contractions

slides Dec 2013; Berkeley, USA; A framework for mapping and redistribution of multidimensional distributed arrays

slides Oct 2013; Berkeley, USA; Communication-avoiding algorithms for dense matrix factorizations

slides Oct 2013; Berkeley, CA; Efficient algorithms for symmetric tensor contractions

slides June 2013; ETH Zurich; Switzerland; Communication-avoiding parallel algorithms for dense linear algebra

slides June 2013; Swiss National Supercomputing Center; Lugano, Switzerland; Communication-avoiding parallel numerical algorithms for dense matrices and tensors

slides May 2013; IPDPS; Boston, USA; Cyclops Tensor Framework: reducing communication and eliminating load imbalance in massively parallel contractions

slides May 2013; IPDPS; Boston, USA; Minimizing communication in all-pairs shortest paths

slides March 2013; SIAM CSE; Boston, USA; Scalable numerical algorithms for electronic structure calculations

slides February 2013; Berkeley, USA; Communication-avoiding parallel algorithms for dense linear algebra and tensor computations

slides January 2013; University of Southern California; LA, USA; A parallel tensor framework for Coupled Cluster

slides Sep. 2012; seminar; Lawrence Livermore National Laboratory; Livermore, CA; Scalable numerical algorithms for electronic structure calculations

slides July 2012; University of Tokyo; Tokyo, Japan; 2.5D algorithms for distributed-memory computing

slides July 2012; VECPAR; Kobe, Japan; Matrix multiplication on multidimensional torus networks

slides June 2012; SIAM ALA; Valencia, Spain; 2.5D Algorithms for dense linear algebra

slides Feb. 2012; SIAM PP; Savannah, GA; Topology-aware parallel algorithms for symmetric tensor contractions

slides Nov. 2011; ACM/IEEE Supercomputing; Seattle, WA; Improving communication performance in dense linear algebra via topology-aware collectives

slides Sep. 2011; CS 294 lecture; Berkeley, CA; 2.5D algorithms: from hardware to theory and back

slides Sep. 2011; Bordeaux, France; Communication-optimal parallel 2.5D matrix multiplication and LU factorization algorithms

slides Aug. 2011; seminar; Argonne National Laboratory; Argonne, IL; Reducing communication in dense matrix/tensor computations

slides Apr. 2010; IPDPS; Atlanta, GA; Highly scalable parallel sorting

Posters

poster Jul. 2013; CSGF conference; Arlington, VA; Cyclops Tensor Framework.

poster Jul. 2011; CSGF conference; Arlington, VA; 2.5D algorithms for dense linear algebra

poster Nov. 2009; ACM/IEEE Supercomputing; Portland, OR Performance comparison of Intrepid, Jaguar and Ranger using scientific applications