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2020 – today
- 2024
[j33]Alan Edelman, Ekin Akyürek
, Yuyang Wang:
Backpropagation through Back Substitution with a Backslash. SIAM J. Matrix Anal. Appl. 45(1): 429-449 (2024)- [j32]Alan Edelman, John Urschel:
Some New Results on the Maximum Growth Factor in Gaussian Elimination. SIAM J. Matrix Anal. Appl. 45(2): 967-991 (2024) - [j31]Flemming Holtorf, Frank Schäfer, Julian Arnold, Christopher Vincent Rackauckas, Alan Edelman:
Performance Bounds for Quantum Feedback Control. IEEE Trans. Autom. Control. 69(11): 8057-8063 (2024) - [i30]Avik Pal, Flemming Holtorf, Axel Larsson, Torkel E. Loman, Utkarsh Rajput, Frank Schäfer, Qingyu Qu, Alan Edelman, Chris Rackauckas:
NonlinearSolve.jl: High-Performance and Robust Solvers for Systems of Nonlinear Equations in Julia. CoRR abs/2403.16341 (2024) - [i29]Alan Edelman, John Urschel, Bowen Zhu:
On a perturbation analysis of Higham squared maximum Gaussian elimination growth matrices. CoRR abs/2406.00737 (2024) - 2023
- [j30]Alan Edelman, Sungwoo Jeong:
Fifty Three Matrix Factorizations: A Systematic Approach. SIAM J. Matrix Anal. Appl. 44(2): 415-480 (2023) - [c31]Avik Pal, Alan Edelman, Chris Rackauckas:
Continuous Deep Equilibrium Models: Training Neural ODEs Faster by Integrating Them to Infinity. HPEC 2023: 1-9 - [c30]Avik Pal, Alan Edelman, Christopher Vincent Rackauckas:
Locally Regularized Neural Differential Equations: Some Black Boxes were meant to remain closed! ICML 2023: 26809-26819 - [c29]Flemming Holtorf, Frank Schäfer, Julian Arnold, Christopher Rackauckas, Alan Edelman:
Sum-of-Squares Bounds for Quantum Optimal Control. QCE 2023: 365-366 - [i28]Avik Pal, Alan Edelman, Chris Rackauckas:
Locally Regularized Neural Differential Equations: Some Black Boxes Were Meant to Remain Closed! CoRR abs/2303.02262 (2023) - [i27]Alan Edelman, John Urschel:
Some New Results on the Maximum Growth Factor in Gaussian Elimination. CoRR abs/2303.04892 (2023) - [i26]Alan Edelman, Ekin Akyürek, Yuyang Wang:
BACKpropagation through BACK substitution with a BACKslash. CoRR abs/2303.15449 (2023) - [i25]Flemming Holtorf, Frank Schäfer, Julian Arnold, Christopher Rackauckas, Alan Edelman:
Performance Bounds for Quantum Control. CoRR abs/2304.03366 (2023) - [i24]Utkarsh Rajput, Valentin Churavy, Yingbo Ma, Tim Besard, Tim Gymnich, Adam R. Gerlach, Alan Edelman, Christopher Rackauckas:
Automated Translation and Accelerated Solving of Differential Equations on Multiple GPU Platforms. CoRR abs/2304.06835 (2023) - [i23]Alan Edelman, Sungwoo Jeong:
The conditional DPP approach to random matrix distributions. CoRR abs/2304.09319 (2023) - [i22]Simone Silvestri, Gregory LeClaire Wagner, Christopher Hill, Matin Raayai Ardakani, Johannes P. Blaschke, Jean-Michel Campin, Valentin Churavy, Navid C. Constantinou, Alan Edelman, John Marshall, Ali Ramadhan, Andre Souza, Raffaele Ferrari:
Oceananigans.jl: A model that achieves breakthrough resolution, memory and energy efficiency in global ocean simulations. CoRR abs/2309.06662 (2023) - [i21]Ankit Bisain, Alan Edelman, John Urschel:
A New Upper Bound For the Growth Factor in Gaussian Elimination with Complete Pivoting. CoRR abs/2312.00994 (2023) - 2022
- [c28]Chris Rackauckas, Maja Gwózdz, Anand Jain, Yingbo Ma, Francesco Martinuzzi, Utkarsh Rajput, Elliot Saba, Viral B. Shah, Ranjan Anantharaman, Alan Edelman, Shashi Gowda, Avik Pal, Chris Laughman:
Composing Modeling And Simulation With Machine Learning In Julia. ANNSIM 2022: 1-17 - [i20]Avik Pal, Alan Edelman, Christopher Rackauckas:
Mixing Implicit and Explicit Deep Learning with Skip DEQs and Infinite Time Neural ODEs (Continuous DEQs). CoRR abs/2201.12240 (2022) - [i19]Valentin Churavy, William F. Godoy, Carsten Bauer, Hendrik Ranocha, Michael Schlottke-Lakemper, Ludovic Räss, Johannes P. Blaschke, Mosè Giordano, Erik Schnetter, Samuel Omlin, Jeffrey S. Vetter, Alan Edelman:
Bridging HPC Communities through the Julia Programming Language. CoRR abs/2211.02740 (2022) - 2021
- [j29]Shashi Gowda, Yingbo Ma, Alessandro Cheli, Maja Gwózdz, Viral B. Shah, Alan Edelman, Christopher Rackauckas:
High-performance symbolic-numerics via multiple dispatch. ACM Commun. Comput. Algebra 55(3): 92-96 (2021) - [c27]Ranjan Anantharaman, Yingbo Ma, Shashi Gowda, Chris Laughman, Viral B. Shah, Alan Edelman, Christopher Rackauckas:
Accelerating Simulation of Stiff Nonlinear Systems using Continuous-Time Echo State Networks. AAAI Spring Symposium: MLPS 2021 - [i18]Alan Edelman, Sungwoo Jeong:
Fifty Three Matrix Factorizations: A systematic approach. CoRR abs/2104.08669 (2021) - [i17]Shashi Gowda, Yingbo Ma, Alessandro Cheli, Maja Gwózdz, Viral B. Shah, Alan Edelman, Christopher Rackauckas:
High-performance symbolic-numerics via multiple dispatch. CoRR abs/2105.03949 (2021) - [i16]Christopher Rackauckas, Ranjan Anantharaman, Alan Edelman, Shashi Gowda, Maja Gwózdz, Anand Jain, Chris Laughman, Yingbo Ma, Francesco Martinuzzi, Avik Pal, Utkarsh Rajput, Elliot Saba, Viral B. Shah:
Composing Modeling and Simulation with Machine Learning in Julia. CoRR abs/2105.05946 (2021) - [i15]Alan Edelman, Sungwoo Jeong:
On the structure of the solutions to the matrix equation G*JG=J. CoRR abs/2112.07152 (2021) - 2020
- [j28]Ali Ramadhan, Gregory LeClaire Wagner, Chris Hill, Jean-Michel Campin, Valentin Churavy, Tim Besard, Andre Souza, Alan Edelman, Raffaele Ferrari, John Marshall:
Oceananigans.jl: Fast and friendly geophysical fluid dynamics on GPUs. J. Open Source Softw. 5(53): 2018 (2020) - [j27]Alan Edelman, Yuyang Wang:
The GSVD: Where are the Ellipses?, Matrix Trigonometry, and More. SIAM J. Matrix Anal. Appl. 41(4): 1826-1856 (2020) - [c26]Christopher Rackauckas, Alan Edelman, Keno Fischer, Mike Innes, Elliot Saba, Viral B. Shah, Will Tebbutt:
Generalized Physics-Informed Learning through Language-Wide Differentiable Programming. AAAI Spring Symposium: MLPS 2020 - [i14]Albert R. Gnadt, Joseph Belarge, Aaron Canciani, Lauren Conger, Joseph Curro, Alan Edelman, Peter Morales, Michael F. O'Keeffe, Jonathan Taylor, Christopher Rackauckas:
Signal Enhancement for Magnetic Navigation Challenge Problem. CoRR abs/2007.12158 (2020) - [i13]Ranjan Anantharaman, Yingbo Ma, Shashi Gowda, Chris Laughman, Viral B. Shah, Alan Edelman, Christopher Rackauckas:
Accelerating Simulation of Stiff Nonlinear Systems using Continuous-Time Echo State Networks. CoRR abs/2010.04004 (2020) - [i12]Rachel C. Kurchin, Eric Muckley, Lance Kavalsky, Vinay I. Hegde, Dhairya Gandhi, Xiaoyu Sun, Matthew Johnson, Alan Edelman, James E. Saal, Christopher Vincent Rackauckas, Bryce Meredig, Viral B. Shah, Venkatasubramanian Viswanathan:
ACED: Accelerated Computational Electrochemical systems Discovery. CoRR abs/2011.04426 (2020)
2010 – 2019
- 2019
- [j26]Tim Besard, Valentin Churavy, Alan Edelman, Bjorn De Sutter:
Rapid software prototyping for heterogeneous and distributed platforms. Adv. Eng. Softw. 132: 29-46 (2019) - [i11]Mike Innes, Alan Edelman, Keno Fischer, Christopher Rackauckas, Elliot Saba, Viral B. Shah, Will Tebbutt:
A Differentiable Programming System to Bridge Machine Learning and Scientific Computing. CoRR abs/1907.07587 (2019) - 2018
- [c25]Jeremy Kepner, Ron Brightwell, Alan Edelman, Vijay Gadepally, Hayden Jananthan, Michael Jones, Sam Madden, Peter Michaleas, Hamed Okhravi, Kevin T. Pedretti, Albert Reuther, Thomas L. Sterling, Mike Stonebraker:
TabulaROSA: Tabular Operating System Architecture for Massively Parallel Heterogeneous Compute Engines. HPEC 2018: 1-8 - [c24]Alan Edelman, Yuyang Wang:
Random Hyperplanes, Generalized Singular Values & "What's My β?". SSP 2018: 458-462 - [i10]Jeremy Kepner, Ron Brightwell, Alan Edelman, Vijay Gadepally, Hayden Jananthan, Michael Jones, Sam Madden, Peter Michaleas, Hamed Okhravi, Kevin T. Pedretti, Albert Reuther, Thomas L. Sterling, Mike Stonebraker:
TabulaROSA: Tabular Operating System Architecture for Massively Parallel Heterogeneous Compute Engines. CoRR abs/1807.05308 (2018) - [i9]Jiahao Chen, Andreas Noack, Alan Edelman:
Fast computation of the principal components of genotype matrices in Julia. CoRR abs/1808.03374 (2018) - 2017
- [j25]Jeff Bezanson, Alan Edelman, Stefan Karpinski, Viral B. Shah:
Julia: A Fresh Approach to Numerical Computing. SIAM Rev. 59(1): 65-98 (2017) - [c23]Alan Edelman:
A more open efficient future for AI development and data science with an introduction to Julia. IEEE BigData 2017: 2 - 2016
- [c22]Alexander Chen, Alan Edelman, Jeremy Kepner, Vijay Gadepally, Dylan Hutchison:
Julia implementation of the Dynamic Distributed Dimensional Data Model. HPEC 2016: 1-7 - [i8]Alexander Chen, Alan Edelman, Jeremy Kepner, Vijay Gadepally, Dylan Hutchison:
Julia Implementation of the Dynamic Distributed Dimensional Data Model. CoRR abs/1608.04041 (2016) - [i7]Alexander Amini, Berthold K. P. Horn, Alan Edelman:
Accelerated Convolutions for Efficient Multi-Scale Time to Contact Computation in Julia. CoRR abs/1612.08825 (2016) - 2015
- [j24]Alan Edelman, Gilbert Strang:
Random Triangle Theory with Geometry and Applications. Found. Comput. Math. 15(3): 681-713 (2015) - [c21]Alan Edelman:
Julia: A fresh approach to parallel programming. IPDPS 2015: 517 - [c20]Alan Edelman:
Julia Introduction. IPDPS Workshops 2015: 1271 - 2014
- [c19]Jeff Bezanson, Jiahao Chen, Stefan Karpinski, Viral B. Shah, Alan Edelman:
Array Operators Using Multiple Dispatch: A design methodology for array implementations in dynamic languages. ARRAY@PLDI 2014: 56-61 - [c18]Jiahao Chen, Alan Edelman:
Parallel prefix polymorphism permits parallelization, presentation & proof. HPTCDL@SC 2014: 47-56 - [e1]Jiahao Chen, Alan Edelman, Wade Shen, Andy Terrel:
Proceedings of the 1st First Workshop for High Performance Technical Computing in Dynamic Languages, HPTCDL '14, New Orleans, Louisiana, USA, November 16-21, 2014. IEEE Computer Society 2014 [contents] - [i6]Jeff Bezanson, Jiahao Chen, Stefan Karpinski, Viral B. Shah, Alan Edelman:
Array operators using multiple dispatch: a design methodology for array implementations in dynamic languages. CoRR abs/1407.3845 (2014) - [i5]Jiahao Chen, Alan Edelman:
Parallel Prefix Polymorphism Permits Parallelization, Presentation & Proof. CoRR abs/1410.6449 (2014) - [i4]Jeff Bezanson, Alan Edelman, Stefan Karpinski, Viral B. Shah:
Julia: A Fresh Approach to Numerical Computing. CoRR abs/1411.1607 (2014) - 2013
- [c17]Viral B. Shah, Alan Edelman, Stefan Karpinski, Jeff Bezanson, Jeremy Kepner:
Novel algebras for advanced analytics in Julia. HPEC 2013: 1-4 - 2012
- [i3]Jeff Bezanson, Stefan Karpinski, Viral B. Shah, Alan Edelman:
Julia: A Fast Dynamic Language for Technical Computing. CoRR abs/1209.5145 (2012) - 2011
- [c16]Christ D. Richmond, Robert L. Geddes, Ramis Movassagh, Alan Edelman:
Performance of sample covariance based capon bearing only tracker. ACSCC 2011: 2036-2039 - [c15]Alan Edelman, Avinatan Hassidim, Huy N. Nguyen, Krzysztof Onak:
An Efficient Partitioning Oracle for Bounded-Treewidth Graphs. APPROX-RANDOM 2011: 530-541 - [c14]Jason Ansel, Yee Lok Wong, Cy P. Chan, Marek Olszewski, Alan Edelman, Saman P. Amarasinghe:
Language and compiler support for auto-tuning variable-accuracy algorithms. CGO 2011: 85-96 - [p1]Huy N. Nguyen, Jeremy Kepner, Alan Edelman:
Visualizing Large Kronecker Graphs. Graph Algorithms in the Language of Linear Algebra 2011: 241-250 - [i2]Alan Edelman, Avinatan Hassidim, Huy N. Nguyen, Krzysztof Onak:
An Efficient Partitioning Oracle for Bounded-Treewidth Graphs. CoRR abs/1106.4587 (2011)
2000 – 2009
- 2009
- [j23]James T. Albrecht, Cy P. Chan, Alan Edelman:
Sturm Sequences and Random Eigenvalue Distributions. Found. Comput. Math. 9(4): 461-483 (2009) - [c13]Jason Ansel, Cy P. Chan, Yee Lok Wong, Marek Olszewski, Qin Zhao, Alan Edelman, Saman P. Amarasinghe:
PetaBricks: a language and compiler for algorithmic choice. PLDI 2009: 38-49 - [c12]Cy P. Chan, Jason Ansel, Yee Lok Wong, Saman P. Amarasinghe, Alan Edelman:
Autotuning multigrid with PetaBricks. SC 2009 - 2008
- [j22]Alan Edelman, Brian D. Sutton:
The Beta-Jacobi Matrix Model, the CS Decomposition, and Generalized Singular Value Problems. Found. Comput. Math. 8(2): 259-285 (2008) - [j21]N. Raj Rao, Alan Edelman:
The Polynomial Method for Random Matrices. Found. Comput. Math. 8(6): 649-702 (2008) - [j20]Raj Rao Nadakuditi, Alan Edelman:
Sample Eigenvalue Based Detection of High-Dimensional Signals in White Noise Using Relatively Few Samples. IEEE Trans. Signal Process. 56(7-1): 2625-2638 (2008) - 2007
- [j19]Ioana Dumitriu, Alan Edelman, Gene Shuman:
MOPS: Multivariate orthogonal polynomials (symbolically). J. Symb. Comput. 42(6): 587-620 (2007) - [c11]Alan Edelman:
The Star-P High Performance Computing Platform. ICASSP (4) 2007: 1197-1200 - [i1]N. Raj Rao, Alan Edelman:
Sample size cognizant detection of signals in white noise. CoRR abs/0704.3287 (2007) - 2006
- [j18]Plamen Koev, Alan Edelman:
The efficient evaluation of the hypergeometric function of a matrix argument. Math. Comput. 75(254): 833-846 (2006) - [c10]N. Raj Rao, Alan Edelman:
Free Probability, Sample Covariance Matrices, and Signal Processing. ICASSP (5) 2006: 1001-1004 - [c9]Alan Edelman:
Innovative technologies II - So What's innovative and exotic about star-P for MATLAB and other clients? SC 2006: 278 - [c8]Julie Dorsey, Alan Edelman, Henrik Wann Jensen, Justin Legakis, Hans Køhling Pedersen:
Modeling and rendering of weathered stone. SIGGRAPH Courses 2006: 4 - 2005
- [j17]Ron Choy, Alan Edelman:
Parallel MATLAB: Doing it Right. Proc. IEEE 93(2): 331-341 (2005) - [j16]Alan Edelman, Brian D. Sutton:
Tails of Condition Number Distributions. SIAM J. Matrix Anal. Appl. 27(2): 547-560 (2005) - [c7]Raj R. Nadakuditi, Alan Edelman:
The bias of the MVDR beamformer outputs under diagonal loading. ICASSP (4) 2005: 793-796 - [c6]Julie Dorsey, Alan Edelman, Henrik Wann Jensen, Justin Legakis, Hans Køhling Pedersen:
Modeling and rendering of weathered stone. SIGGRAPH Courses 2005: 4 - 2004
- [j15]Alan Edelman, Gilbert Strang:
Pascal Matrices. Am. Math. Mon. 111(3): 189-197 (2004) - 2000
- [j14]Alan Edelman, Yanyuan Ma:
Staircase Failures Explained by Orthogonal Versal Forms. SIAM J. Matrix Anal. Appl. 21(3): 1004-1025 (2000)
1990 – 1999
- 1999
- [j13]Alan Edelman, Erik Elmroth, Bo Kågström:
A Geometric Approach to Perturbation Theory of Matrices and Matrix Pencils. Part II: A Stratification-Enhanced Staircase Algorithm. SIAM J. Matrix Anal. Appl. 20(3): 667-699 (1999) - [c5]Parry Husbands, Charles Lee Isbell Jr., Alan Edelman:
MITMatlab: A Tool for Interactive Supercomputing. PP 1999 - [c4]Julie Dorsey, Alan Edelman, Henrik Wann Jensen, Justin Legakis, Hans Køhling Pedersen:
Modeling and Rendering of Weathered Stone. SIGGRAPH 1999: 225-234 - 1998
- [j12]Alan Edelman, Tomás A. Arias, Steven Thomas Smith:
The Geometry of Algorithms with Orthogonality Constraints. SIAM J. Matrix Anal. Appl. 20(2): 303-353 (1998) - [j11]Alan Edelman, Peter McCorquodale, Sivan Toledo:
The Future Fast Fourier Transform? SIAM J. Sci. Comput. 20(3): 1094-1114 (1998) - 1997
- [j10]Alan Edelman, Erik Elmroth, Bo Kågström:
A Geometric Approach to Perturbation Theory of Matrices and Matrix Pencils. Part I: Versal Deformations. SIAM J. Matrix Anal. Appl. 18(3): 653-692 (1997) - [j9]Alan Edelman:
The Mathematics of the Pentium Division Bug. SIAM Rev. 39(1): 54-67 (1997) - [c3]Alan Edelman, Peter McCorquodale, Sivan Toledo:
The Future Fast Fourier Transform? PP 1997 - 1995
- [j8]Alan Edelman:
On the Determinant of a Uniformly Distributed Complex Matrix. J. Complex. 11(3): 352-357 (1995) - [j7]Alan Edelman, Walter F. Mascarenhas:
On Parlett's matrix norm inequality for the Cholesky decomposition. Numer. Linear Algebra Appl. 2(3): 243-250 (1995) - [c2]Eric J. Bylaska, Scott R. Kohn, Scott B. Baden, Alan Edelman, Ryoichi Kawai, M. Elizabeth G. Ong, John H. Weare:
Scalable Parallel Numerical Methods and Software Tools for Material Design. PP 1995: 219-224 - 1994
- [j6]Jean-Philippe Brunet, Alan Edelman, Jill P. Mesirov:
Erratum: Hypercube Algorithms for Direct N-Body Solvers for Different Granularities. SIAM J. Sci. Comput. 15(1): 238 (1994) - [j5]Alan Edelman, Steve Heller, S. Lennart Johnsson:
Index Transformation Algorithms in a Linear Algebra Framework. IEEE Trans. Parallel Distributed Syst. 5(12): 1302-1309 (1994) - 1993
- [j4]Alan Edelman:
Large Dense Numerical Linear Algebra in 1993: the Parallel Computing Influence. Int. J. High Perform. Comput. Appl. 7(2): 113-128 (1993) - [j3]Jean-Philippe Brunet, Jill P. Mesirov, Alan Edelman:
Hypercube Algorithms for Direct N-Body Solvers for Different Granularities. SIAM J. Sci. Comput. 14(5): 1143-1158 (1993) - [j2]Alan Edelman, G. W. Stewart:
Scaling for orthogonality. IEEE Trans. Signal Process. 41(4): 1676-1677 (1993) - 1991
- [j1]Alan Edelman:
Optimal Matrix Transposition and Bit Reversal on Hypercubes: All-to-All Personalized Communication. J. Parallel Distributed Comput. 11(4): 328-331 (1991) - 1990
- [c1]Jean-Philippe Brunet, Alan Edelman, Jill P. Mesirov:
An optional hypercube direct N-body solver on the connection machine. SC 1990: 748-752
Coauthor Index
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