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09/13/2023
Oceananigans.jl: A model that achieves breakthrough resolution, memory and energy efficiency in global ocean simulations
Climate models must simulate hundreds of future scenarios for hundreds o...
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04/18/2023
The conditional DPP approach to random matrix distributions
We present the conditional determinantal point process (DPP) approach to...
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04/13/2023
Automated Translation and Accelerated Solving of Differential Equations on Multiple GPU Platforms
We demonstrate a high-performance vendor-agnostic method for massively p...
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03/08/2023
Some New Results on the Maximum Growth Factor in Gaussian Elimination
This paper combines modern numerical computation with theoretical result...
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03/03/2023
Locally Regularized Neural Differential Equations: Some Black Boxes Were Meant to Remain Closed!
Implicit layer deep learning techniques, like Neural Differential Equati...
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11/04/2022
Bridging HPC Communities through the Julia Programming Language
The Julia programming language has evolved into a modern alternative to ...
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01/28/2022
Mixing Implicit and Explicit Deep Learning with Skip DEQs and Infinite Time Neural ODEs (Continuous DEQs)
Implicit deep learning architectures, like Neural ODEs and Deep Equilibr...
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12/14/2021
On the structure of the solutions to the matrix equation G^*JG=J
We study the mathematical structure of the solution set (and its tangent...
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05/12/2021
Composing Modeling and Simulation with Machine Learning in Julia
In this paper we introduce JuliaSim, a high-performance programming envi...
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05/09/2021
High-performance symbolic-numerics via multiple dispatch
As mathematical computing becomes more democratized in high-level langua...
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04/18/2021
Fifty Three Matrix Factorizations: A systematic approach
The success of matrix factorizations such as the singular value decompos...
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10/07/2020
Accelerating Simulation of Stiff Nonlinear Systems using Continuous-Time Echo State Networks
Modern design, control, and optimization often requires simulation of hi...
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07/17/2019
Zygote: A Differentiable Programming System to Bridge Machine Learning and Scientific Computing
Scientific computing is increasingly incorporating the advancements in m...
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07/17/2019
A Differentiable Programming System to Bridge Machine Learning and Scientific Computing
Scientific computing is increasingly incorporating the advancements in m...
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08/09/2018
Fast computation of the principal components of genotype matrices in Julia
Finding the largest few principal components of a matrix of genetic data...
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07/14/2018
TabulaROSA: Tabular Operating System Architecture for Massively Parallel Heterogeneous Compute Engines
The rise in computing hardware choices is driving a reevaluation of oper...
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12/28/2016
Accelerated Convolutions for Efficient Multi-Scale Time to Contact Computation in Julia
Convolutions have long been regarded as fundamental to applied mathemati...
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08/14/2016