Alan Edelman | Academic Influence

Alan Edelman's AcademicInfluence.com Rankings

Alan Edelman

Computer Science

#150

World Rank

#157

Historical Rank

#91

USA Rank

Numerical Analysis

#7

World Rank

#7

Historical Rank

#6

USA Rank

computer-science Degrees

Alan Edelman

Mathematics

#202

World Rank

#454

Historical Rank

#95

USA Rank

Measure Theory

#1639

World Rank

#2020

Historical Rank

#538

USA Rank

mathematics Degrees

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Computer Science
Mathematics

Alan Edelman's Degrees

Bachelors Mathematics University of Chicago

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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 called 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. 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 Works

Julia: A Fresh Approach to Numerical Computing (2014) (3711)
The Geometry of Algorithms with Orthogonality Constraints (1998) (2586)
Eigenvalues and condition numbers of random matrices (1988) (1376)
Julia: A Fast Dynamic Language for Technical Computing (2012) (670)
Matrix models for beta ensembles (2002) (609)
PetaBricks: a language and compiler for algorithmic choice (2009) (419)
Erratum to “How many zeros of a random polynomial are real?” (1995) (394)
Random matrix theory (2005) (270)
Sample Eigenvalue Based Detection of High-Dimensional Signals in White Noise Using Relatively Few Samples (2007) (269)
Polynomial roots from companion matrix eigenvalues (1995) (248)
The efficient evaluation of the hypergeometric function of a matrix argument (2005) (244)
The Probability that a Random Real Gaussian Matrix haskReal Eigenvalues, Related Distributions, and the Circular Law (1997) (223)
Mesh generation for implicit geometries (2005) (187)
A Geometric Approach to Perturbation Theory of Matrices and Matrix Pencils. Part I: Versal Deformations (1997) (164)
Modeling and rendering of weathered stone (2005) (163)
Parallel MATLAB: Doing it Right (2005) (156)
How many eigenvalues of a random matrix are real (1994) (154)
Nonnegativity-, monotonicity-, or convexity-preserving cubic and quintic Hermite interpolation (1989) (147)
Language and compiler support for auto-tuning variable-accuracy algorithms (2011) (137)
Modeling and rendering of weathered stone (1999) (131)
From Random Matrices to Stochastic Operators (2006) (122)
A Geometric Approach to Perturbation Theory of Matrices and Matrix Pencils. Part II: A Stratification-Enhanced Staircase Algorithm (1999) (122)
A Differentiable Programming System to Bridge Machine Learning and Scientific Computing (2019) (120)
Global spectrum fluctuations for the β-Hermite and β-Laguerre ensembles via matrix models (2005) (111)
Tails of Condition Number Distributions (2005) (102)
The Polynomial Method for Random Matrices (2006) (91)
MOPS: Multivariate orthogonal polynomials (symbolically) (2004) (90)
The distribution and moments of the smallest eigenvalue of a random matrix of wishart type (1991) (89)
The dimension of matrices (matrix pencils) with given Jordan (Kronecker) canonical forms (1995) (89)
On the distribution of a scaled condition number (1992) (83)
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) (76)
On the largest principal angle between random subspaces (2006) (75)
The Future Fast Fourier Transform? (1997) (66)
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) (57)
Circuitscape in Julia: High Performance Connectivity Modelling to Support Conservation Decisions (2019) (56)
Julia: A Fresh Approach to Numerical Computing | SIAM Review | Vol. 59, No. 1 | Society for Industrial and Applied Mathematics (2017) (50)
Random Matrix Theory and Its Innovative Applications (2013) (47)
On conjugate gradient-like methods for eigen-like problems (1996) (42)
Nongeneric Eigenvalue Perturbations of Jordan Blocks (1998) (42)
Index Transformation Algorithms in a Linear Algebra Framework (1994) (39)
Multiscale Computation with Interpolating Wavelets (1998) (39)
Circuitscape: modeling landscape connectivity to promote conservation and human health (2016) (39)
The Mathematics of the Pentium Division Bug (1997) (38)
A Simple Estimate of the Condition Number of a Linear System (1995) (37)
Rapid software prototyping for heterogeneous and distributed platforms (2019) (34)
Autotuning multigrid with PetaBricks (2009) (33)
Matrix Multiplication on Hypercubes Using Full Bandwith and Constant Storage (1991) (30)
Circuitscape in Julia: Empowering Dynamic Approaches to Connectivity Assessment (2021) (30)
Admissible slopes for monotone and convex interpolation (1987) (28)
Beyond Universality in Random Matrix Theory (2014) (27)
Array Operators Using Multiple Dispatch: A design methodology for array implementations in dynamic languages (2014) (27)
An optimal hypercube direct N-body solver on the Connection Machine (1990) (26)
High-performance symbolic-numerics via multiple dispatch (2021) (24)
The Singular Values of the GUE (Less is More) (2014) (24)
ON LOCALLY SUPPORTED BASIS FUNCTIONS FOR THE REPRESENTATION OF GEOMETRICALLY CONTINUOUS CURVES (1987) (24)
Numerical Methods for Eigenvalue Distributions of Random Matrices (2005) (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)
Random Triangle Theory with Geometry and Applications (2015) (20)
Oceananigans.jl: Fast and friendly geophysical fluid dynamics on GPUs (2020) (19)
The Computation and Sensitivity of Double Eigenvalues (1998) (19)
Non‐Fourier‐encoded parallel MRI using multiple receiver coils (2004) (19)
A Novel Parallel Sorting Algorithm for Contemporary Architectures (2007) (18)
Asymptotic Mean Squared Error Performance of Diagonally Loaded Capon-MVDR Processor (2005) (18)
Error analysis of free probability approximations to the density of states of disordered systems. (2012) (17)
The Complete Pivoting Conjecture for Gaussian Elimination is False (1992) (17)
On the complete pivoting conjecture for a hadamard matrix of order 12 (1995) (17)
Generalized Physics-Informed Learning through Language-Wide Differentiable Programming (2020) (16)
Accelerating Simulation of Stiff Nonlinear Systems using Continuous-Time Echo State Networks (2020) (15)
Density of states of quantum spin systems from isotropic entanglement. (2011) (15)
Nonlinear Eigenvalue Problems (2000) (14)
Sturm Sequences and Random Eigenvalue Distributions (2009) (14)
Uncertainty Quantification of Ocean Parameterizations: Application to the K‐Profile‐Parameterization for Penetrative Convection (2020) (14)
Interactive Supercomputing’s Star-P Platform (2006) (13)
The Circular Law and the Probability that a Random Matrix Has k Real Eigenvalues (1993) (13)
The first annual large dense linear system survey (1991) (13)
Free Probability, Sample Covariance Matrices, and Signal Processing (2006) (13)
MATLAB*P 2.0: A unified parallel MATLAB (2003) (13)
Infinite Random Matrix Theory, Tridiagonal Bordered Toeplitz Matrices, and the Moment Problem (2014) (13)
On Machine Learning and Programming Languages (2018) (12)
The bias of the MVDR beamformer outputs under diagonal loading (2005) (12)
The Beta-MANOVA Ensemble with General Covariance (2013) (11)
Hypercube Algorithms for Direct N-Body Solvers for Different Granularities (1993) (11)
Eigenvalue Roulette and Random Test Matrices (1993) (10)
Staircase Failures Explained by Orthogonal Versal Forms (2000) (10)
Modeling and rendering of weathered stone (1999) (9)
Eigenvalue distributions of beta-Wishart matrices (2014) (9)
Julia implementation of the Dynamic Distributed Dimensional Data Model (2016) (9)
A fast projected conjugate gradient algorithm for training support vector machines (2001) (9)
Novel algebras for advanced analytics in Julia (2013) (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)
Random matrix theory, numerical computation and applications (2013) (7)
A counterexample to a hadamard matrix pivot conjecture (1998) (7)
Julia: A fresh approach to parallel programming (2015) (7)
On computing Schur functions and series thereof (2018) (6)
Interactive Supercomputing with PPMatlab (1998) (6)
Large numerical linear algebra in 1994: the continuing influence of parallel computing (1994) (5)
Partial freeness of random matrices (2012) (5)
Interactive Supercomputing with MITMatlab (1998) (5)
The Star-P High Performance Computing Platform (2007) (5)
Accelerated Convolutions for Efficient Multi-Scale Time to Contact Computation in Julia (2016) (4)
On Parlett's matrix norm inequality for the Cholesky decomposition (1995) (4)
Curvature in Conjugate Gradient Eigenvalue Computation with Applications to Materials and Chemistry (1994) (4)
Parallel Prefix Polymorphism Permits Parallelization, Presentation & Proof (2014) (4)
Fifty Three Matrix Factorizations: A systematic approach (2021) (4)
MITMatlab: A Tool for Interactive Supercomputing (1999) (4)
Isotropic Entanglement (2010) (3)
A simple model for assessing climate control trade-offs and responding to unanticipated climate outcomes (2021) (3)
The GSVD: Where are the Ellipses?, Matrix Trigonometry, and More (2019) (3)
Integral geometry for Markov chain Monte Carlo: overcoming the curse of search-subspace dimensionality (2015) (3)
Building Blocks and Excluded Sums (2005) (3)
Mixing Implicit and Explicit Deep Learning with Skip DEQs and Infinite Time Neural ODEs (Continuous DEQs) (2022) (3)
Signal Enhancement for Magnetic Navigation Challenge Problem (2020) (3)
Low-temperature random matrix theory at the soft edge (2014) (3)
Bridging HPC Communities through the Julia Programming Language (2022) (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)
Spiral Echo-Planar Trajectories for 3D Non-Fourier Encoded MRI (2002) (2)
On the Determinant of a Uniformly Distributed Complex Matrix (1995) (2)
Random Hyperplanes, Generalized Singular Values & “What’s My β?” (2018) (2)
Composable and Reusable Neural Surrogates to Predict System Response of Causal Model Components (2022) (2)
Sample covariance based estimation of Capon algorithm error probabilities (2010) (2)
ST / 0 70 13 14 v 1 11 J an 2 00 7 Statistical eigen-inference from large Wishart matrices (2007) (2)
The generalized Cartan decomposition for classical random matrix ensembles (2020) (2)
Performance of sample covariance based capon bearing only tracker (2011) (1)
Sparsity Programming: Automated Sparsity-Aware Optimizations in Differentiable Programming (2019) (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)
Free Probability, Sample Covariance Matrices and Stochastic Eigen-Inference (2006) (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)
ACED: Accelerated Computational Electrochemical systems Discovery (2020) (1)
Leveraging High Performance Computation for Statistical Wind Prediction (2010) (1)
Fast multipole-type methods in one and two dimensions, with application to parallel fourier transforms (1998) (1)
Condition Numbers of Indefinite Rank 2 Ghost Wishart Matrices (2012) (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)
Orthogonal polynomials in monotone and convex interpolation (1988) (1)
On the structure of the solutions to the matrix equation G*JG=J (2021) (1)
Fast Magnetic Resonance Imaging via Adaptive Broadband Encoding of the MR Signal Content (2003) (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)
6.50s A Peek at Parallel Processing from an Applications Perspective (1996) (0)
So What's innovative and exotic about star-P for MATLAB and other clients? (2006) (0)
Lawrence Berkeley National Laboratory Recent Work Title The Complete Pivoting Conjecture for Gaussian Elimination is False Permalink (2013) (0)
RandomMatrices.jl v0.2.0 (2015) (0)
Erratum: Hypercube Algorithms for Direct N-Body Solvers for Different Granularities (1994) (0)
Shirayanagi-Sweedler Algebraic Algorithm Stabilization and Polynomial GCD Algorithms by Pramook Khungurn (2008) (0)
Sample size cognizant detection of signals in white noise (2007) (0)
BACKpropagation through BACK substitution with a BACKslash (2023) (0)
The densities and distributions of the largest eigenvalue and the trace of a Beta–Wishart matrix (2019) (0)
Autotuning multigrid with PetaBricks Citation (2012) (0)
A more open efficient future for AI development and data science with an introduction to Julia (2017) (0)
Locally Regularized Neural Differential Equations: Some Black Boxes Were Meant to Remain Closed! (2023) (0)
Consider the “ big ” laws for asymptotic level densities for various random matrices : Wigner semicircle law (2014) (0)
Some New Results on the Maximum Growth Factor in Gaussian Elimination (2023) (0)
Random Triangle Theory with Geometry and Applications (2015) (0)
Shape optimization using a matrix-free Newton method (2008) (0)
Numerical Methods for Eigenvalue Distributions of (2008) (0)
18.337J / 6.338J Applied Parallel Computing (SMA 5505), Spring 2003 (2003) (0)
Calculating the density of states in disordered systems using free probability (2012) (0)
Lawrence Berkeley National Laboratory Recent Work Title Leveraging High Performance Computation for Statistical Wind Prediction Permalink (2010) (0)
Automated Translation and Accelerated Solving of Differential Equations on Multiple GPU Platforms (2023) (0)
1. Title: A Modular System for Increasing Predictiveness for Extreme Climate Predictions 2. Authors/Affiliations: (0)
Curvature in Conjugate Gradient Eigenvalue (1994) (0)
Ja n 20 07 Statistical eigen-inference from large Wishart matrices (2007) (0)
Support vector machine algorithms: analysis and applications (2002) (0)
Ju n 20 02 Matrix Models for Beta Ensembles (2002) (0)
AutoMat: Automated materials discovery for electrochemical systems (2022) (0)
1 2 D ec 2 00 7 Statistical eigen-inference from large Wishart matrices N (2007) (0)
Lawrence Berkeley National Laboratory Recent Work Title (1998) (0)
18.338J/16.394J: The Mathematics of Infinite Random Matrices Histogramming (2004) (0)
Performance Bounds for Quantum Control (2023) (0)
Continuous Deep Equilibrium Models: Training Neural ODEs faster by integrating them to Infinity (2022) (0)
Visualizing Large Kronecker Graphs (2011) (0)
Snapshots of Mobile Jacobi (1991) (0)
RandomMatrices.jl v0.1.0 (2014) (0)
Sparse random structures: Analysis and Computations (2010) (0)
Lawrence Berkeley National Laboratory Recent Work Title Sturm Sequences and Random Eigenvalue Distributions Permalink (2008) (0)
The conditional DPP approach to random matrix distributions (2023) (0)
Accelerating Deep Learning Optimization in Mocha . jl Student : (2016) (0)
JIAHAO CHEN AND ALAN EDELMAN PARTIAL FREENESS OF RANDOM (2012) (0)
Advances in random matrix theory (2005) (0)
Solving Multiple Classes of Problems in Parallel with MATLAB*P (2004) (0)

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