Alan Edelman

Publication Activity (10 Years)

Years Active: 1990-2024
Publications (10 Years): 42

Top Topics

Nonlinear Systems

Nonlinear Equations

Scientific Computing

Top Venues

SIAM J. Matrix Anal. Appl.

AAAI Spring Symposium: MLPS

Publications

Alan Edelman, John Urschel
Some New Results on the Maximum Growth Factor in Gaussian Elimination. SIAM J. Matrix Anal. Appl. 45 (2) (2024)
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 (2024)
Alan Edelman, John Urschel, Bowen Zhu
On a perturbation analysis of Higham squared maximum Gaussian elimination growth matrices. CoRR (2024)
Alan Edelman, Ekin Akyürek, Yuyang Wang
Backpropagation through Back Substitution with a Backslash. SIAM J. Matrix Anal. Appl. 45 (1) (2024)
Flemming Holtorf, Frank Schäfer, Julian Arnold, Christopher Rackauckas, Alan Edelman
Performance Bounds for Quantum Control. CoRR (2023)
Avik Pal, Alan Edelman, Chris Rackauckas
Locally Regularized Neural Differential Equations: Some Black Boxes Were Meant to Remain Closed! CoRR (2023)
Avik Pal, Alan Edelman, Chris Rackauckas
Continuous Deep Equilibrium Models: Training Neural ODEs Faster by Integrating Them to Infinity. HPEC (2023)
Simone Silvestri, Gregory LeClaire Wagner, Christopher Hill, Matin Raayai Ardakani, Johannes 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 (2023)
Flemming Holtorf, Frank Schäfer, Julian Arnold, Christopher Rackauckas, Alan Edelman
Sum-of-Squares Bounds for Quantum Optimal Control. QCE (2023)
Avik Pal, Alan Edelman, Christopher Vincent Rackauckas
Locally Regularized Neural Differential Equations: Some Black Boxes were meant to remain closed! ICML (2023)
Alan Edelman, Sungwoo Jeong
Fifty Three Matrix Factorizations: A Systematic Approach. SIAM J. Matrix Anal. Appl. 44 (2) (2023)
Ankit Bisain, Alan Edelman, John Urschel
A New Upper Bound For the Growth Factor in Gaussian Elimination with Complete Pivoting. CoRR (2023)
Alan Edelman, Ekin Akyürek, Yuyang Wang
BACKpropagation through BACK substitution with a BACKslash. CoRR (2023)
Alan Edelman, Sungwoo Jeong
The conditional DPP approach to random matrix distributions. CoRR (2023)
Alan Edelman, John Urschel
Some New Results on the Maximum Growth Factor in Gaussian Elimination. CoRR (2023)
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 (2023)
Valentin Churavy, William F. Godoy, Carsten Bauer, Hendrik Ranocha, Michael Schlottke-Lakemper, Ludovic Räss, Johannes Blaschke, Mosè Giordano, Erik Schnetter, Samuel Omlin, Jeffrey S. Vetter, Alan Edelman
Bridging HPC Communities through the Julia Programming Language. CoRR (2022)
Avik Pal, Alan Edelman, Christopher Rackauckas
Mixing Implicit and Explicit Deep Learning with Skip DEQs and Infinite Time Neural ODEs (Continuous DEQs). CoRR (2022)
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)
Shashi Gowda, Yingbo Ma, Alessandro Cheli, Maja Gwózzdz, Viral B. Shah, Alan Edelman, Christopher Rackauckas
High-performance symbolic-numerics via multiple dispatch. ACM Commun. Comput. Algebra 55 (3) (2021)
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)
Shashi Gowda, Yingbo Ma, Alessandro Cheli, Maja Gwózdz, Viral B. Shah, Alan Edelman, Christopher Rackauckas
High-performance symbolic-numerics via multiple dispatch. CoRR (2021)
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 (2021)
Alan Edelman, Sungwoo Jeong
Fifty Three Matrix Factorizations: A systematic approach. CoRR (2021)
Alan Edelman, Sungwoo Jeong
JG=J. CoRR (2021)
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 (2020)
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) (2020)
Rachel C. Kurchin, Eric Muckley, Lance Kavalsky, Vinay Hegde, Dhairya Gandhi, Xiaoyu Sun, Matthew Johnson, Alan Edelman, James Saal, Christopher Vincent Rackauckas, Bryce Meredig, Viral B. Shah, Venkatasubramanian Viswanathan
ACED: Accelerated Computational Electrochemical systems Discovery. CoRR (2020)
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)
Alan Edelman, Yuyang Wang
The GSVD: Where are the Ellipses?, Matrix Trigonometry, and More. SIAM J. Matrix Anal. Appl. 41 (4) (2020)
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 (2020)
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 (2019)
Tim Besard, Valentin Churavy, Alan Edelman, Bjorn De Sutter
Rapid software prototyping for heterogeneous and distributed platforms. Adv. Eng. Softw. 132 (2019)
Alan Edelman, Yuyang Wang
Random Hyperplanes, Generalized Singular Values & "What's My β?". SSP (2018)
Jiahao Chen, Andreas Noack, Alan Edelman
Fast computation of the principal components of genotype matrices in Julia. CoRR (2018)
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 (2018)
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)
Jeff Bezanson, Alan Edelman, Stefan Karpinski, Viral B. Shah
Julia: A Fresh Approach to Numerical Computing. SIAM Rev. 59 (1) (2017)
Alan Edelman
A more open efficient future for AI development and data science with an introduction to Julia. IEEE BigData (2017)
Alexander Chen, Alan Edelman, Jeremy Kepner, Vijay Gadepally, Dylan Hutchison
Julia implementation of the Dynamic Distributed Dimensional Data Model. HPEC (2016)
Alexander Amini, Berthold K. P. Horn, Alan Edelman
Accelerated Convolutions for Efficient Multi-Scale Time to Contact Computation in Julia. CoRR (2016)
Alexander Chen, Alan Edelman, Jeremy Kepner, Vijay Gadepally, Dylan Hutchison
Julia Implementation of the Dynamic Distributed Dimensional Data Model. CoRR (2016)
Alan Edelman
Julia Introduction. IPDPS Workshops (2015)
Alan Edelman, Gilbert Strang
Random Triangle Theory with Geometry and Applications. Found. Comput. Math. 15 (3) (2015)
Alan Edelman
Julia: A fresh approach to parallel programming. IPDPS (2015)
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 (2014)
Jiahao Chen, Alan Edelman
Parallel Prefix Polymorphism Permits Parallelization, Presentation & Proof. CoRR (2014)
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)
Jiahao Chen, Alan Edelman
Parallel prefix polymorphism permits parallelization, presentation & proof. HPTCDL@SC (2014)
Jeff Bezanson, Alan Edelman, Stefan Karpinski, Viral B. Shah
Julia: A Fresh Approach to Numerical Computing. CoRR (2014)
Viral B. Shah, Alan Edelman, Stefan Karpinski, Jeff Bezanson, Jeremy Kepner
Novel algebras for advanced analytics in Julia. HPEC (2013)
Jeff Bezanson, Stefan Karpinski, Viral B. Shah, Alan Edelman
Julia: A Fast Dynamic Language for Technical Computing CoRR (2012)
Alan Edelman, Avinatan Hassidim, Huy N. Nguyen, Krzysztof Onak
An Efficient Partitioning Oracle for Bounded-Treewidth Graphs CoRR (2011)
Christ D. Richmond, Robert L. Geddes, Ramis Movassagh, Alan Edelman
Performance of sample covariance based capon bearing only tracker. ACSCC (2011)
Alan Edelman, Avinatan Hassidim, Huy N. Nguyen, Krzysztof Onak
An Efficient Partitioning Oracle for Bounded-Treewidth Graphs. APPROX-RANDOM (2011)
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)
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)
Cy P. Chan, Jason Ansel, Yee Lok Wong, Saman P. Amarasinghe, Alan Edelman
Autotuning multigrid with PetaBricks. SC (2009)
James T. Albrecht, Cy P. Chan, Alan Edelman
Sturm Sequences and Random Eigenvalue Distributions. Found. Comput. Math. 9 (4) (2009)
Alan Edelman, Brian D. Sutton
The Beta-Jacobi Matrix Model, the CS Decomposition, and Generalized Singular Value Problems. Found. Comput. Math. 8 (2) (2008)
N. Raj Rao, Alan Edelman
The Polynomial Method for Random Matrices. Found. Comput. Math. 8 (6) (2008)
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) (2008)
N. Raj Rao, Alan Edelman
Sample size cognizant detection of signals in white noise CoRR (2007)
Alan Edelman
The Star-P High Performance Computing Platform. ICASSP (4) (2007)
Ioana Dumitriu, Alan Edelman, Gene Shuman
MOPS: Multivariate orthogonal polynomials (symbolically). J. Symb. Comput. 42 (6) (2007)
Alan Edelman
Innovative technologies II - So What's innovative and exotic about star-P for MATLAB and other clients? SC (2006)
Plamen Koev, Alan Edelman
The efficient evaluation of the hypergeometric function of a matrix argument. Math. Comput. 75 (254) (2006)
Julie Dorsey, Alan Edelman, Henrik Wann Jensen, Justin Legakis, Hans Køhling Pedersen
Modeling and rendering of weathered stone. SIGGRAPH Courses (2006)
N. Raj Rao, Alan Edelman
Free Probability, Sample Covariance Matrices, and Signal Processing. ICASSP (5) (2006)
Ron Choy, Alan Edelman
Parallel MATLAB: Doing it Right. Proc. IEEE 93 (2) (2005)
Julie Dorsey, Alan Edelman, Henrik Wann Jensen, Justin Legakis, Hans Køhling Pedersen
Modeling and rendering of weathered stone. SIGGRAPH Courses (2005)
Alan Edelman, Brian D. Sutton
Tails of Condition Number Distributions. SIAM J. Matrix Anal. Appl. 27 (2) (2005)
Raj R. Nadakuditi, Alan Edelman
The bias of the MVDR beamformer outputs under diagonal loading. ICASSP (4) (2005)
Alan Edelman, Gilbert Strang
Pascal Matrices. Am. Math. Mon. 111 (3) (2004)
Alan Edelman, Yanyuan Ma
Staircase Failures Explained by Orthogonal Versal Forms. SIAM J. Matrix Anal. Appl. 21 (3) (2000)
Parry Husbands, Charles Lee Isbell Jr., Alan Edelman
MITMatlab: A Tool for Interactive Supercomputing. PPSC (1999)
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) (1999)
Julie Dorsey, Alan Edelman, Henrik Wann Jensen, Justin Legakis, Hans Køhling Pedersen
Modeling and Rendering of Weathered Stone. SIGGRAPH (1999)
Alan Edelman, Peter McCorquodale, Sivan Toledo
The Future Fast Fourier Transform? SIAM J. Sci. Comput. 20 (3) (1998)
Alan Edelman, Tomás A. Arias, Steven Thomas Smith
The Geometry of Algorithms with Orthogonality Constraints. SIAM J. Matrix Anal. Appl. 20 (2) (1998)
Alan Edelman, Peter McCorquodale, Sivan Toledo
The Future Fast Fourier Transform? PPSC (1997)
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) (1997)
Alan Edelman
The Mathematics of the Pentium Division Bug. SIAM Rev. 39 (1) (1997)
Alan Edelman
On the Determinant of a Uniformly Distributed Complex Matrix. J. Complex. 11 (3) (1995)
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. PPSC (1995)
Alan Edelman, Walter F. Mascarenhas
On Parlett's matrix norm inequality for the Cholesky decomposition. Numer. Linear Algebra Appl. 2 (3) (1995)
Alan Edelman, Steve Heller, S. Lennart Johnsson
Index Transformation Algorithms in a Linear Algebra Framework. IEEE Trans. Parallel Distributed Syst. 5 (12) (1994)
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) (1994)
Jean-Philippe Brunet, Jill P. Mesirov, Alan Edelman
Hypercube Algorithms for Direct N-Body Solvers for Different Granularities. SIAM J. Sci. Comput. 14 (5) (1993)
Alan Edelman, G. W. Stewart
Scaling for orthogonality. IEEE Trans. Signal Process. 41 (4) (1993)
Alan Edelman
Large Dense Numerical Linear Algebra in 1993: the Parallel Computing Influence. Int. J. High Perform. Comput. Appl. 7 (2) (1993)
Alan Edelman
Optimal Matrix Transposition and Bit Reversal on Hypercubes: All-to-All Personalized Communication. J. Parallel Distributed Comput. 11 (4) (1991)
Jean-Philippe Brunet, Alan Edelman, Jill P. Mesirov
-body solver on the connection machine. SC (1990)