Alan Edelman | Academic Influence

Why Is Alan Edelman Influential?

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According to Wikipedia, Alan Stuart Edelman is an American mathematician and computer scientist. He is a professor of applied mathematics at the Massachusetts Institute of Technology and a Principal Investigator at the MIT Computer Science and Artificial Intelligence Laboratory where he leads a group in applied computing. In 2004 he founded a business, Interactive Supercomputing, which was later acquired by Microsoft. Edelman is a fellow of American Mathematical Society , Society for Industrial and Applied Mathematics , Institute of Electrical and Electronics Engineers , and Association for Computing Machinery , for his contributions in numerical linear algebra, computational science, parallel computing, and random matrix theory, and he is one of the cocreators of the technical programming language Julia.

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Alan Edelman's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Papers

Julia: A Fresh Approach to Numerical Computing (2014) (3368)
The Geometry of Algorithms with Orthogonality Constraints (1998) (2529)
Eigenvalues and condition numbers of random matrices (1988) (1356)
Julia: A Fast Dynamic Language for Technical Computing (2012) (643)
Matrix models for beta ensembles (2002) (589)
PetaBricks: a language and compiler for algorithmic choice (2009) (418)
Erratum to “How many zeros of a random polynomial are real?” (1995) (377)
Random matrix theory (2005) (272)
Sample Eigenvalue Based Detection of High-Dimensional Signals in White Noise Using Relatively Few Samples (2007) (263)
Polynomial roots from companion matrix eigenvalues (1995) (244)
The efficient evaluation of the hypergeometric function of a matrix argument (2005) (240)
The Probability that a Random Real Gaussian Matrix haskReal Eigenvalues, Related Distributions, and the Circular Law (1997) (219)
Mesh generation for implicit geometries (2005) (183)
A Geometric Approach to Perturbation Theory of Matrices and Matrix Pencils. Part I: Versal Deformations (1997) (163)
Modeling and rendering of weathered stone (2005) (160)
Parallel MATLAB: Doing it Right (2005) (155)
How many eigenvalues of a random matrix are real (1994) (150)
Nonnegativity-, monotonicity-, or convexity-preserving cubic and quintic Hermite interpolation (1989) (145)
Language and compiler support for auto-tuning variable-accuracy algorithms (2011) (137)
Modeling and rendering of weathered stone (1999) (132)
A Geometric Approach to Perturbation Theory of Matrices and Matrix Pencils. Part II: A Stratification-Enhanced Staircase Algorithm (1999) (122)
From Random Matrices to Stochastic Operators (2006) (122)
Global spectrum fluctuations for the β-Hermite and β-Laguerre ensembles via matrix models (2005) (108)
A Differentiable Programming System to Bridge Machine Learning and Scientific Computing (2019) (107)
Tails of Condition Number Distributions (2005) (102)
The dimension of matrices (matrix pencils) with given Jordan (Kronecker) canonical forms (1995) (89)
The Polynomial Method for Random Matrices (2006) (89)
MOPS: Multivariate orthogonal polynomials (symbolically) (2004) (88)
The distribution and moments of the smallest eigenvalue of a random matrix of wishart type (1991) (85)
On the distribution of a scaled condition number (1992) (82)
Statistical eigen-inference from large Wishart matrices (2007) (78)
Large Dense Numerical Linear Algebra in 1993: the Parallel Computing Influence (1993) (77)
The Beta-Jacobi Matrix Model, the CS Decomposition, and Generalized Singular Value Problems (2008) (74)
On the largest principal angle between random subspaces (2006) (74)
The Future Fast Fourier Transform? (1997) (65)
Optimal Matrix Transposition and Bit Reversal on Hypercubes: All-to-All Personalized Communication (1991) (58)
Eigenvalues of Hermite and Laguerre ensembles: large beta asymptotics (2004) (56)
Circuitscape in Julia: High Performance Connectivity Modelling to Support Conservation Decisions (2019) (49)
Random Matrix Theory and Its Innovative Applications (2013) (47)
Julia: A Fresh Approach to Numerical Computing | SIAM Review | Vol. 59, No. 1 | Society for Industrial and Applied Mathematics (2017) (43)
Nongeneric Eigenvalue Perturbations of Jordan Blocks (1998) (40)
On conjugate gradient-like methods for eigen-like problems (1996) (40)
Index Transformation Algorithms in a Linear Algebra Framework (1994) (39)
Multiscale Computation with Interpolating Wavelets (1998) (39)
The Mathematics of the Pentium Division Bug (1997) (38)
Circuitscape: modeling landscape connectivity to promote conservation and human health (2016) (36)
A Simple Estimate of the Condition Number of a Linear System (1995) (34)
Autotuning multigrid with PetaBricks (2009) (33)
Matrix Multiplication on Hypercubes Using Full Bandwith and Constant Storage (1991) (30)
Rapid software prototyping for heterogeneous and distributed platforms (2019) (30)
Admissible slopes for monotone and convex interpolation (1987) (28)
Array Operators Using Multiple Dispatch: A design methodology for array implementations in dynamic languages (2014) (27)
Beyond Universality in Random Matrix Theory (2014) (26)
An optimal hypercube direct N-body solver on the Connection Machine (1990) (26)
ON LOCALLY SUPPORTED BASIS FUNCTIONS FOR THE REPRESENTATION OF GEOMETRICALLY CONTINUOUS CURVES (1987) (24)
Numerical Methods for Eigenvalue Distributions of Random Matrices (2005) (23)
The Singular Values of the GUE (Less is More) (2014) (23)
An Efficient Partitioning Oracle for Bounded-Treewidth Graphs (2011) (22)
The beta-Wishart ensemble (2013) (21)
Scalable Parallel Numerical Methods and Software Tools for Material Design (1994) (20)
Non‐Fourier‐encoded parallel MRI using multiple receiver coils (2004) (19)
Random Triangle Theory with Geometry and Applications (2015) (19)
Oceananigans.jl: Fast and friendly geophysical fluid dynamics on GPUs (2020) (19)
High-performance symbolic-numerics via multiple dispatch (2021) (18)
A Novel Parallel Sorting Algorithm for Contemporary Architectures (2007) (18)
The Computation and Sensitivity of Double Eigenvalues (1998) (18)
Asymptotic Mean Squared Error Performance of Diagonally Loaded Capon-MVDR Processor (2005) (18)
Circuitscape in Julia: Empowering Dynamic Approaches to Connectivity Assessment (2021) (17)
On the complete pivoting conjecture for a hadamard matrix of order 12 (1995) (16)
The Complete Pivoting Conjecture for Gaussian Elimination is False (1992) (16)
Error analysis of free probability approximations to the density of states of disordered systems. (2012) (16)
Density of states of quantum spin systems from isotropic entanglement. (2011) (15)
Nonlinear Eigenvalue Problems (2000) (14)
Generalized Physics-Informed Learning through Language-Wide Differentiable Programming (2020) (14)
Free Probability, Sample Covariance Matrices, and Signal Processing (2006) (13)
Sturm Sequences and Random Eigenvalue Distributions (2009) (13)
The Circular Law and the Probability that a Random Matrix Has k Real Eigenvalues (1993) (13)
Accelerating Simulation of Stiff Nonlinear Systems using Continuous-Time Echo State Networks (2020) (13)
The first annual large dense linear system survey (1991) (13)
Interactive Supercomputing’s Star-P Platform (2006) (13)
MATLAB*P 2.0: A unified parallel MATLAB (2003) (13)
Uncertainty Quantification of Ocean Parameterizations: Application to the K‐Profile‐Parameterization for Penetrative Convection (2020) (12)
The bias of the MVDR beamformer outputs under diagonal loading (2005) (12)
On Machine Learning and Programming Languages (2018) (12)
Infinite Random Matrix Theory, Tridiagonal Bordered Toeplitz Matrices, and the Moment Problem (2014) (11)
Hypercube Algorithms for Direct N-Body Solvers for Different Granularities (1993) (11)
The Beta-MANOVA Ensemble with General Covariance (2013) (11)
Staircase Failures Explained by Orthogonal Versal Forms (2000) (10)
Eigenvalue Roulette and Random Test Matrices (1993) (10)
Julia implementation of the Dynamic Distributed Dimensional Data Model (2016) (9)
Modeling and rendering of weathered stone (1999) (9)
Eigenvalue distributions of beta-Wishart matrices (2014) (9)
Novel algebras for advanced analytics in Julia (2013) (9)
A fast projected conjugate gradient algorithm for training support vector machines (2001) (9)
TabulaROSA: Tabular Operating System Architecture for Massively Parallel Heterogeneous Compute Engines (2018) (8)
Scaling for orthogonality (1993) (8)
Composing Modeling And Simulation With Machine Learning In Julia (2021) (8)
A counterexample to a hadamard matrix pivot conjecture (1998) (6)
Random matrix theory, numerical computation and applications (2013) (6)
Julia: A fresh approach to parallel programming (2015) (6)
On computing Schur functions and series thereof (2018) (6)
Interactive Supercomputing with PPMatlab (1998) (6)
The Star-P High Performance Computing Platform (2007) (5)
Large numerical linear algebra in 1994: the continuing influence of parallel computing (1994) (5)
Interactive Supercomputing with MITMatlab (1998) (5)
On Parlett's matrix norm inequality for the Cholesky decomposition (1995) (4)
MITMatlab: A Tool for Interactive Supercomputing (1999) (4)
Parallel Prefix Polymorphism Permits Parallelization, Presentation & Proof (2014) (4)
Accelerated Convolutions for Efficient Multi-Scale Time to Contact Computation in Julia (2016) (4)
Curvature in Conjugate Gradient Eigenvalue Computation with Applications to Materials and Chemistry (1994) (4)
Partial freeness of random matrices (2012) (4)
The GSVD: Where are the Ellipses?, Matrix Trigonometry, and More (2019) (3)
Building Blocks and Excluded Sums (2005) (3)
Integral geometry for Markov chain Monte Carlo: overcoming the curse of search-subspace dimensionality (2015) (3)
Low-temperature random matrix theory at the soft edge (2014) (3)
Signal Enhancement for Magnetic Navigation Challenge Problem (2020) (3)
A simple model for assessing climate control trade-offs and responding to unanticipated climate outcomes (2021) (3)
Mixing Implicit and Explicit Deep Learning with Skip DEQs and Infinite Time Neural ODEs (Continuous DEQs) (2022) (2)
Fifty Three Matrix Factorizations: A systematic approach (2021) (2)
Spiral Echo-Planar Trajectories for 3D Non-Fourier Encoded MRI (2002) (2)
Sample covariance based estimation of Capon algorithm error probabilities (2010) (2)
Isotropic Entanglement (2010) (2)
ST / 0 70 13 14 v 1 11 J an 2 00 7 Statistical eigen-inference from large Wishart matrices (2007) (2)
On the Determinant of a Uniformly Distributed Complex Matrix (1995) (2)
Random Hyperplanes, Generalized Singular Values & “What’s My β?” (2018) (2)
18.325: Finite Random Matrix Theory Jacobians of Matrix Transforms (without wedge products) (2005) (2)
Enhancing the acquisition efficiency of fast magnetic resonance imaging via broadband encoding of signal content. (2006) (2)
The generalized Cartan decomposition for classical random matrix ensembles (2020) (2)
ACED: Accelerated Computational Electrochemical systems Discovery (2020) (1)
Fast multipole-type methods in one and two dimensions, with application to parallel fourier transforms (1998) (1)
18.338: The Eigenvalues of Random Matrices Histogramming (2005) (1)
On the Probability Distribution of the Outputs of the Diagonally Loaded Capon-MVDR Processor (2005) (1)
Sparsity Programming: Automated Sparsity-Aware Optimizations in Differentiable Programming (2019) (1)
Orthogonal polynomials in monotone and convex interpolation (1988) (1)
Fast Magnetic Resonance Imaging via Adaptive Broadband Encoding of the MR Signal Content (2003) (1)
Condition Numbers of Indefinite Rank 2 Ghost Wishart Matrices (2012) (1)
Free Probability, Sample Covariance Matrices and Stochastic Eigen-Inference (2006) (1)
Leveraging High Performance Computation for Statistical Wind Prediction (2010) (1)
Performance of sample covariance based capon bearing only tracker (2011) (1)
Proceedings of the 1st First Workshop for High Performance Technical Computing in Dynamic Languages, HPTCDL '14, New Orleans, Louisiana, USA, November 16-21, 2014 (2014) (1)
On the Cartan decomposition for classical random matrix ensembles (2020) (1)
Eigenvalue approximation of sums of Hermitian matrices from eigenvector localization/delocalization (2017) (1)
Fast computation of the principal components of genotype matrices in Julia (2018) (1)
Fast Sorting on a Distributed-Memory Architecture (2005) (1)
A multi-control climate policy process for a trusted decision maker (2020) (1)
A LINEAR-TIME ALGORITHM FOR EVALUATING SERIES OF SCHUR FUNCTIONS (2007) (1)
Lawrence Berkeley National Laboratory Recent Work Title Sturm Sequences and Random Eigenvalue Distributions Permalink (2008) (0)
Lawrence Berkeley National Laboratory Recent Work Title The Complete Pivoting Conjecture for Gaussian Elimination is False Permalink (2013) (0)
The densities and distributions of the largest eigenvalue and the trace of a Beta–Wishart matrix (2019) (0)
Numerical Methods for Eigenvalue Distributions of (2008) (0)
18.338J/16.394J: The Mathematics of Infinite Random Matrices Histogramming (2004) (0)
RandomMatrices.jl v0.2.0 (2015) (0)
Curvature in Conjugate Gradient Eigenvalue (1994) (0)
Ja n 20 07 Statistical eigen-inference from large Wishart matrices (2007) (0)
Lawrence Berkeley National Laboratory Recent Work Title (1998) (0)
JIAHAO CHEN AND ALAN EDELMAN PARTIAL FREENESS OF RANDOM (2012) (0)
Snapshots of Mobile Jacobi (1991) (0)
A more open efficient future for AI development and data science with an introduction to Julia (2017) (0)
Visualizing Large Kronecker Graphs (2011) (0)
Bridging HPC Communities through the Julia Programming Language (2022) (0)
Support vector machine algorithms: analysis and applications (2002) (0)
So What's innovative and exotic about star-P for MATLAB and other clients? (2006) (0)
RandomMatrices.jl v0.1.0 (2014) (0)
Lawrence Berkeley National Laboratory Recent Work Title Leveraging High Performance Computation for Statistical Wind Prediction Permalink (2010) (0)
Random Triangle Theory with Geometry and Applications (2015) (0)
On the structure of the solutions to the matrix equation G*JG=J (2021) (0)
Erratum: Hypercube Algorithms for Direct N-Body Solvers for Different Granularities (1994) (0)
Calculating the density of states in disordered systems using free probability (2012) (0)
Sparse random structures: Analysis and Computations (2010) (0)
Consider the “ big ” laws for asymptotic level densities for various random matrices : Wigner semicircle law (2014) (0)
Shape optimization using a matrix-free Newton method (2008) (0)
Ju n 20 02 Matrix Models for Beta Ensembles (2002) (0)
Composable and Reusable Neural Surrogates to Predict System Response of Causal Model Components (2022) (0)
18.337J / 6.338J Applied Parallel Computing (SMA 5505), Spring 2003 (2003) (0)
1. Title: A Modular System for Increasing Predictiveness for Extreme Climate Predictions 2. Authors/Affiliations: (0)
Advances in random matrix theory (2005) (0)
Autotuning multigrid with PetaBricks Citation (2012) (0)
6.50s A Peek at Parallel Processing from an Applications Perspective (1996) (0)
AutoMat: Automated materials discovery for electrochemical systems (2022) (0)
Sample size cognizant detection of signals in white noise (2007) (0)
Shirayanagi-Sweedler Algebraic Algorithm Stabilization and Polynomial GCD Algorithms by Pramook Khungurn (2008) (0)
Solving Multiple Classes of Problems in Parallel with MATLAB*P (2004) (0)
Accelerating Deep Learning Optimization in Mocha . jl Student : (2016) (0)
1 2 D ec 2 00 7 Statistical eigen-inference from large Wishart matrices N (2007) (0)

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Computer Science