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Related papers: Equality Saturation for Optimizing High-Level Juli…

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Equality saturation (EqSat) is a powerful optimization paradigm that compactly represents many equivalent programs in an e-graph and delays commitment until extraction selects a lowest-cost program. Making EqSat effective, therefore,…

Artificial Intelligence · Computer Science 2026-04-21 Chenyun Yin , Youwei Xiao , Yuze Luo , Yuyang Zou , Yun Liang

As mathematical computing becomes more democratized in high-level languages, high-performance symbolic-numeric systems are necessary for domain scientists and engineers to get the best performance out of their machine without deep knowledge…

Computation and Language · Computer Science 2022-02-08 Shashi Gowda , Yingbo Ma , Alessandro Cheli , Maja Gwozdz , Viral B. Shah , Alan Edelman , Christopher Rackauckas

GPUs are popular devices for accelerating scientific calculations. However, as GPU code is usually written in low-level languages, it breaks the abstractions of high-level languages popular with scientific programmers. To overcome this, we…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-04-13 Tim Besard , Pieter Verstraete , Bjorn De Sutter

Marginal effects analysis is fundamental to interpreting statistical models, yet existing implementations face computational constraints that limit analysis at scale. We introduce two Julia packages that address this gap. Margins.jl…

Computation · Statistics 2026-01-13 Eric Feltham

In this paper, a topology optimization framework utilizing automatic differentiation is presented as an efficient way for solving 2D density-based topology optimization problem by calculating gradients through the fully differentiable…

Computational Engineering, Finance, and Science · Computer Science 2020-09-23 Liang Chen , Herman M. H. Shen

Taylor series methods show a newfound promise for the solution of non-stiff ordinary differential equations (ODEs) given the rise of new compiler-enhanced techniques for calculating high order derivatives. In this paper we detail a new…

Numerical Analysis · Mathematics 2026-02-20 Songchen Tan , Oscar Smith , Christopher Rackauckas

The Julia programming language continues to gain popularity both for its potential for programmer productivity and for its impressive performance on scientific code. It thus holds potential for large-scale HPC, but we have not yet seen this…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-30 Amal Rizvi , Kyle C. Hale

Biclustering is a data mining technique which searches for local patterns in numeric tabular data with main application in bioinformatics. This technique has shown promise in multiple areas, including development of biomarkers for cancer,…

Machine Learning · Computer Science 2021-05-05 Paweł Renc , Patryk Orzechowski , Aleksander Byrski , Jarosław Wąs , Jason H. Moore

As a scientific programming language, Julia strives for performance but also provides high-level productivity features. To avoid performance pathologies, Julia users are expected to adhere to a coding discipline that enables so-called type…

Programming Languages · Computer Science 2021-11-18 Artem Pelenitsyn , Julia Belyakova , Benjamin Chung , Ross Tate , Jan Vitek

High-level synthesis (HLS) is a process that automatically translates a software program in a high-level language into a low-level hardware description. However, the hardware designs produced by HLS tools still suffer from a significant…

Programming Languages · Computer Science 2023-08-16 Jianyi Cheng , Samuel Coward , Lorenzo Chelini , Rafael Barbalho , Theo Drane

Generating performant executables from high level languages is critical to software performance across a wide range of domains. Modern compilers perform this task by passing code through a series of well-studied optimizations at…

Programming Languages · Computer Science 2026-04-07 Benjamin Mikek , Danylo Vashchilenko , Bryan Lu , Panpan Xu

An optimizing compiler consists of a front end parsing a textual programming language into an intermediate representation (IR), a middle end performing optimizations on the IR, and a back end lowering the IR to a target representation (TR)…

Programming Languages · Computer Science 2011-11-22 Sebastian Buchwald , Edgar Jakumeit

Manual RTL design and optimization remains prevalent across the semiconductor industry because commercial logic and high-level synthesis tools are unable to match human designs. Our experience in industrial datapath design demonstrates that…

Hardware Architecture · Computer Science 2024-06-19 Samuel Coward , Theo Drane , George A. Constantinides

Julia is a mature general-purpose programming language, with a large ecosystem of libraries and more than 12000 third-party packages, which specifically targets scientific computing. As a language, Julia is as dynamic, interactive, and…

The multi-pumping resource sharing technique can overcome the limitations commonly found in single-clocked FPGA designs by allowing hardware components to operate at a higher clock frequency than the surrounding system. However, this…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-10-11 Carl-Johannes Johnsen , Tiziano De Matteis , Tal Ben-Nun , Johannes de Fine Licht , Torsten Hoefler

Recomputation algorithms collectively refer to a family of methods that aims to reduce the memory consumption of the backpropagation by selectively discarding the intermediate results of the forward propagation and recomputing the discarded…

Machine Learning · Computer Science 2019-05-29 Mitsuru Kusumoto , Takuya Inoue , Gentaro Watanabe , Takuya Akiba , Masanori Koyama

Current direct-collocation-based optimal control software is either easy to use or fast, but not both. This is a major limitation for users that are trying to formulate complex optimal control problems (OCPs) for use in on-line…

Mathematical Software · Computer Science 2020-05-05 Huckleberry Febbo , Paramsothy Jayakumar , Jeffrey L. Stein , Tulga Ersal

Probabilistic inference is fundamentally hard, yet many tasks require optimization on top of inference, which is even harder. We present a new optimization-via-compilation strategy to scalably solve a certain class of such problems. In…

Programming Languages · Computer Science 2025-04-11 Minsung Cho , John Gouwar , Steven Holtzen

A typical compiler flow relies on a uni-directional sequence of translation/optimization steps that lower the program abstract representation, making it hard to preserve higher-level program information across each transformation step. On…

Programming Languages · Computer Science 2022-02-10 Vinicius Couto , Luciano Zago , Hervé Yviquel , Guido Araújo

In modern computing systems, compilation employs numerous optimization techniques to enhance code performance. Source-to-source code transformations, which include control flow and datapath transformations, have been widely used in…

Hardware Architecture · Computer Science 2025-06-09 Jiaqi Yin , Zhan Song , Nicolas Bohm Agostini , Antonino Tumeo , Cunxi Yu