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Narrowing is a procedure that was first studied in the context of equational E-unification and that has been used in a wide range of applications. The classic completeness result due to Hullot states that any term rewriting derivation…

Programming Languages · Computer Science 2019-08-15 Adrián Riesco , Juan Rodríguez-Hortalá

Refactoring is a critical task in software maintenance, and is usually performed to enforce better design and coding practices, while coping with design defects. The Extract Method refactoring is widely used for merging duplicate code…

Hierarchical optimization architectures are used in power systems to manage disturbances and phenomena that arise at multiple spatial and temporal scales. We present a graph modeling abstraction for representing such architectures and an…

Optimization and Control · Mathematics 2023-09-20 David L. Cole , Harsha Gangammanavar , Victor M. Zavala

Frank-Wolfe (FW) algorithms have emerged as an essential class of methods for constrained optimization, especially on large-scale problems. In this paper, we summarize the algorithmic design choices and progress made in the last years of…

In this paper we present GridapTopOpt, an extendable framework for level set-based topology optimisation that can be readily distributed across a personal computer or high-performance computing cluster. The package is written in Julia and…

Mathematical Software · Computer Science 2026-01-26 Zachary J. Wegert , Jordi Manyer , Connor Mallon , Santiago Badia , Vivien J. Challis

We introduce MathOptInterface, an abstract data structure for representing mathematical optimization problems based on combining pre-defined functions and sets. MathOptInterface is significantly more general than existing data structures in…

Optimization and Control · Mathematics 2026-05-26 Benoit Legat , Oscar Dowson , Joaquim Dias Garcia , Miles Lubin

Iterative compilation is a widely adopted technique to optimize programs for different constraints such as performance, code size and power consumption in rapidly evolving hardware and software environments. However, in case of statically…

Programming Languages · Computer Science 2014-07-16 Lianjie Luo , Yang Chen , Chengyong Wu , Shun Long , Grigori Fursin

The goal of decompilation is to convert compiled low-level code (e.g., assembly code) back into high-level programming languages, enabling analysis in scenarios where source code is unavailable. This task supports various reverse…

Software Engineering · Computer Science 2025-02-19 Yunlong Feng , Bohan Li , Xiaoming Shi , Qingfu Zhu , Wanxiang Che

Interactive theorem provers, like Isabelle/HOL, Coq and Lean, have expressive languages that allow the formalization of general mathematical objects and proofs. In this context, an important goal is to reduce the time and effort needed to…

Symbolic Computation · Computer Science 2024-05-17 Marcus Rossel , Andrés Goens

Reducing the cognitive complexity of a piece of code to a given threshold is not trivial. Recently, we modeled software cognitive complexity reduction as an optimization problem and we proposed an approach to assist developers on this task.…

Software Engineering · Computer Science 2024-02-09 Rubén Saborido , Javier Ferrer , Francisco Chicano

Arrays are such a rich and fundamental data type that they tend to be built into a language, either in the compiler or in a large low-level library. Defining this functionality at the user level instead provides greater flexibility for…

Programming Languages · Computer Science 2014-07-16 Jeff Bezanson , Jiahao Chen , Stefan Karpinski , Viral Shah , Alan Edelman

Computing systems have become increasingly complex with the emergence of heterogeneous hardware combining multicore CPUs and GPUs. These parallel systems exhibit tremendous computational power at the cost of increased programming effort.…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-02-10 Michel Steuwer , Christian Fensch , Christophe Dubach

Register Transfer Level (RTL) code optimization is crucial for enhancing the efficiency and performance of digital circuits during early synthesis stages. Currently, optimization relies heavily on manual efforts by skilled engineers, often…

Hardware Architecture · Computer Science 2024-09-19 Xufeng Yao , Yiwen Wang , Xing Li , Yingzhao Lian , Ran Chen , Lei Chen , Mingxuan Yuan , Hong Xu , Bei Yu

Optimizing Register Transfer Level (RTL) code is crucial for improving the power, performance, and area (PPA) of digital circuits in the early stages of synthesis. Manual rewriting, guided by synthesis feedback, can yield high-quality…

Hardware Architecture · Computer Science 2025-09-23 Yiting Wang , Wanghao Ye , Ping Guo , Yexiao He , Ziyao Wang , Bowei Tian , Shwai He , Guoheng Sun , Zheyu Shen , Sihan Chen , Ankur Srivastava , Qingfu Zhang , Gang Qu , Ang Li

Graphs, and graph transformation systems, are used in many areas within Computer Science: to represent data structures and algorithms, to define computation models, as a general modelling tool to study complex systems, etc. Research in term…

Symbolic Computation · Computer Science 2021-02-04 Patrick Bahr

Generalized sampling is a numerically stable framework for obtaining reconstructions of signals in different bases and frames from their samples. In this paper, we will introduce a carefully documented toolbox for performing generalized…

Mathematical Software · Computer Science 2016-11-24 Robert Dahl Jacobsen , Morten Nielsen , Morten Grud Rasmussen

We evaluate Julia as a single language and ecosystem paradigm powered by LLVM to develop workflow components for high-performance computing. We run a Gray-Scott, 2-variable diffusion-reaction application using a memory-bound, 7-point…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-09-29 William F. Godoy , Pedro Valero-Lara , Caira Anderson , Katrina W. Lee , Ana Gainaru , Rafael Ferreira da Silva , Jeffrey S. Vetter

We argue that the Julia programming language is a compelling alternative to implementations in Python and C++ for common data analysis workflows in high energy physics. We compare the speed of implementations of different workflows in Julia…

Computational Physics · Physics 2021-04-13 Marcel Stanitzki , Jan Strube

In large scale distributed linear transform problems, coded computation plays an important role to effectively deal with "stragglers" (distributed computations that may get delayed due to few slow or faulty processors). We propose a coded…

Information Theory · Computer Science 2018-04-27 Sinong Wang , Jiashang Liu , Ness Shroff , Pengyu Yang

InvertibleNetworks.jl is a Julia package designed for the scalable implementation of normalizing flows, a method for density estimation and sampling in high-dimensional distributions. This package excels in memory efficiency by leveraging…

Machine Learning · Computer Science 2023-12-22 Rafael Orozco , Philipp Witte , Mathias Louboutin , Ali Siahkoohi , Gabrio Rizzuti , Bas Peters , Felix J. Herrmann
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