Alan Edelman
- Julia: A Fresh Approach to Numerical Computing
2014/11/06 by Jeff Bezanson, Alan Edelman, Bezanson, Jeff +5 · 1 voice · 249 citations
Computer Science · #Distributed and Parallel Computing Systems #Parallel Computing and Optimization Techniques #Quantum Computing Algorithms and Architecture #cs.MS
- A Differentiable Programming System to Bridge Machine Learning and Scientific Computing
2019/07/17 by Mike Innes, Alan Edelman, Innes, Mike +12 · 2 voices · 13 citations
Computer Science · #Neural Networks and Applications
- Universal Differential Equations for Scientific Machine Learning
2020/01/13 by Christopher Rackauckas, Yingbo Ma, Rackauckas, Christopher +17 · 4 voices · 47 citations
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #Gene Regulatory Network Analysis #Mathematical Biology Tumor Growth #Model Reduction and Neural Networks #cs.LG #math.DS #q-bio.QM #stat.ML
- Julia: A Fresh Approach to Numerical Computing
2017/01/01 by Jeff Bezanson, Alan Edelman, Stefan Karpinski +1 · 363 citations
Computer Science · #Parallel Computing and Optimization Techniques #Quantum Computing Algorithms and Architecture #Distributed and Parallel Computing Systems
- Matrix Calculus (for Machine Learning and Beyond)
2025/01/07 by Paige Bright, Bright, Paige, Alan Edelman +3 · 13 voices · 2 citations
Computer Science · #Neural Networks and Applications #cs.LG #math.HO #math.NA #stat.ML
- NonlinearSolve.jl: High-Performance and Robust Solvers for Systems of Nonlinear Equations in Julia
2024/03/25 by Avik Pal, Pal, Avik, Flemming Holtorf +20 · 3 voices · 5 citations
Computer Science · Physics and Astronomy · #Parallel Computing and Optimization Techniques #Polynomial and algebraic computation #Quantum chaos and dynamical systems #math.NA
- The Geometry of Algorithms with Orthogonality Constraints
1998/06/19 by Alan Edelman, Edelman, Alan, T. A. Arias +3 · 38 citations
Computer Science · Mathematics · #Matrix Theory and Algorithms #Advanced Optimization Algorithms Research #Fractional Differential Equations Solutions
- Automated translation and accelerated solving of differential equations on multiple GPU platforms
2023/04/13 by Utkarsh Utkarsh, Valentin Churavy, Yingbo Ma +9 · 3 voices · 4 citations
Computer Science · #Advanced Data Storage Technologies #Distributed and Parallel Computing Systems #Parallel Computing and Optimization Techniques
- TabulaROSA: Tabular Operating System Architecture for Massively Parallel Heterogeneous Compute Engines
2018/07/14 by Jeremy Kepner, Ron Brightwell, Alan Edelman +10 · 2 voices
Computer Science · #Cloud Computing and Resource Management #Distributed and Parallel Computing Systems #Parallel Computing and Optimization Techniques
- Nonnegativity-, monotonicity-, or convexity-preserving cubic and quintic Hermite interpolation
1989/01/01 by Randall L. Dougherty, Randall Dougherty, Alan Edelman +2 · 2 citations
Engineering · Computer Science · #Advanced Numerical Analysis Techniques #Polynomial and algebraic computation #Numerical Methods and Algorithms
- Numerical Methods for Eigenvalue Distributions of Random Matrices
2005/01/27 by Alan Edelman, Per‐Olof Persson, Edelman, Alan +1 · 2 citations
Computer Science · Mathematics · #15A54 #65F15 #FOS: Mathematics #FOS: Physical sciences #Markov Chains and Monte Carlo Methods #Mathematical Physics (math-ph) #Matrix Theory and Algorithms #Numerical Analysis (math.NA) #Random Matrices and Applications
- Sample eigenvalue based detection of high dimensional signals in white noise using relatively few samples
2007/05/17 by N. Raj Rao, Alan Edelman, Rao, N. Raj +1 · 2 citations
Mathematics · Physics and Astronomy · #62H25 #FOS: Mathematics #Random Matrices and Applications #Statistical Mechanics and Entropy #Statistical Methods and Inference #Statistics Theory (math.ST)
- Parallel Prefix Polymorphism Permits Parallelization, Presentation & Proof
2014/10/23 by Jiahao Chen, Alan Edelman, Chen, Jiahao +1 · 1 voice
#cs.PL
- Physics-Constrained Flow Matching: Sampling Generative Models with Hard Constraints
2025/06/04 by Utkarsh Utkarsh, Utkarsh, Utkarsh, Pengfei Cai +7 · 11 citations
Physics and Astronomy · Computer Science · Materials Science · #Model Reduction and Neural Networks #Generative Adversarial Networks and Image Synthesis #Machine Learning in Materials Science
- MOPS: Multivariate Orthogonal Polynomials (symbolically)
2004/09/24 by Ioana Dumitriu, Alan Edelman, Dumitriu, Ioana +3 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Mathematical functions and polynomials #Quantum chaos and dynamical systems #math-ph #math.MP #msc:15A52 #msc:46N99
- Accelerating Simulation of Stiff Nonlinear Systems using Continuous-Time Echo State Networks
2020/10/07 by Ranjan Anantharaman, Anantharaman, Ranjan, Yingbo Ma +11 · 1 citation
Computer Science · Physics and Astronomy · #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Model Reduction and Neural Networks #Neural Networks and Applications #Neural Networks and Reservoir Computing
- Julia Implementation of the Dynamic Distributed Dimensional Data Model
2016/08/14 by Alexander Chen, Alan Edelman, Jeremy Kepner +2 · 1 voice
Computer Science · #cs.MS #cs.PF #cs.PL
- Composing Modeling and Simulation with Machine Learning in Julia
2021/05/12 by Christopher Rackauckas, Ranjan Anantharaman, Rackauckas, Chris +23 · 1 citation
Computer Science · Physics and Astronomy · Engineering · #Neural Networks and Reservoir Computing #Model Reduction and Neural Networks #Optical Network Technologies
- Backpropagation through Back Substitution with a Backslash
2023/02/23 by Alan Edelman, Edelman, Alan, Ekin Akyürek +3 · 1 citation
Decision Sciences · Computer Science · #Scientific Computing and Data Management #Graph Theory and Algorithms #Distributed and Parallel Computing Systems
- Scientific Machine Learning of Chaotic Systems Discovers Governing Equations for Neural Populations
2025/07/04 by Anthony G. Chesebro, David Hofmann, Chesebro, Anthony G. +15 · 2 voices · 1 citation
#cs.LG #math-ph #nlin.CD #q-bio.NC
- Scalable higher-order nonlinear solvers via higher-order automatic differentiation
2025/01/28 by Songchen Tan, Tan, Songchen, Keming Miao +5 · 1 voice · 1 citation
Engineering · Mathematics · #Control Systems and Identification #Advanced Optimization Algorithms Research #Advanced Adaptive Filtering Techniques
- Cross-Model Cross-Language AI Coding Agent Performance: Accuracy and Speed of Parallel CLRS Algorithms
2026/07/26 by Shiqi Cheng, Evelyne Ringoot, Rabab Alomairy +1
Computer Science · #cs.SE
- Jordan algebras, hemiplex numbers, and the Cholesky decomposition of arbitrary symmetric matrices
2026/07/23 by Alan Edelman, Timothy E. Holy
#math.NA #cs.NA #math.RA