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For a finite $\mathbb{Z}$-algebra $R$, i.e., for a $\mathbb{Z}$-algebra which is a finitely generated $\mathbb{Z}$-module, we assume that $R$ is explicitly given by a system of $\mathbb{Z}$-module generators $G$, its relation module ${\rm…

Commutative Algebra · Mathematics 2024-08-07 Martin Kreuzer , Florian Walsh

LLM-based code generation tools are essential to help developers in the software development process. Existing tools often disconnect with the working context, i.e., the code repository, causing the generated code to be not similar to human…

Software Engineering · Computer Science 2024-10-29 Dianshu Liao , Shidong Pan , Xiaoyu Sun , Xiaoxue Ren , Qing Huang , Zhenchang Xing , Huan Jin , Qinying Li

The FermiCORD code system, a set of codes based on MARS15 that calculates the accelerator-induced residual doses at experimental facilities of arbitrary configurations, has been developed. FermiCORD is written in C++ as an add-on to…

Computational Physics · Physics 2018-09-25 A. Grebe , A. Leveling , T. Lu , N. Mokhov , V. Pronskikh

In the past few years, Large Language Models (LLMs) have exploded in usefulness and popularity for code generation tasks. However, LLMs still struggle with accuracy and are unsuitable for high-risk applications without additional oversight…

Software Engineering · Computer Science 2024-10-29 William Murphy , Nikolaus Holzer , Feitong Qiao , Leyi Cui , Raven Rothkopf , Nathan Koenig , Mark Santolucito

Retrieval-augmented generation (RAG) improves large language model reliability by grounding generated responses in external evidence. However, RAG performance depends on the relevance of retrieved passages, the quality of evidence ranking,…

Information Retrieval · Computer Science 2026-05-05 Fariba Afrin Irany , Sampson Akwafuo

Reactive synthesis for the GR(1) fragment of LTL has been implemented and studied in many works. In this workshop paper we present and evaluate a list of heuristics to potentially reduce running times for GR(1) synthesis and related…

Logic in Computer Science · Computer Science 2017-12-05 Elizabeth Firman , Shahar Maoz , Jan Oliver Ringert

Achieving high code reuse in physical design flows is challenging but increasingly necessary to build complex systems. Unfortunately, existing approaches based on parameterized Tcl generators support very limited reuse and struggle to…

Hardware Architecture · Computer Science 2021-11-30 Alex Carsello , James Thomas , Ankita Nayak , Po-Han Chen , Mark Horowitz , Priyanka Raina , Christopher Torng

A code over a finite alphabet is called locally recoverable (LRC code) if every symbol in the encoding is a function of a small number (at most $r$) other symbols of the codeword. In this paper we introduce a construction of LRC codes on…

Information Theory · Computer Science 2016-11-17 Alexander Barg , Itzhak Tamo , Serge Vladuts

Reproducing results in publications by distributing publicly available source code is becoming ever more popular. Given the difficulty of reproducing machine learning (ML) experiments, there have been significant efforts in reducing the…

Computation and Language · Computer Science 2021-09-09 Paul Landes , Barbara Di Eugenio , Cornelia Caragea

A refinement of manifold data is a computational process, which produces a denser set of discrete data from a given one. Such refinements are closely related to multiresolution representations of manifold data by pyramid transforms, and…

Numerical Analysis · Mathematics 2016-11-18 Nira Dyn , Nir Sharon

The paper presents investigations on the implementation and performance of the finite element numerical integration algorithm for first order approximations and three processor architectures, popular in scientific computing, classical CPU,…

Mathematical Software · Computer Science 2016-05-25 Krzysztof Banaś , Filip Krużel , Jan Bielański

The automatic generation of floorplans given user inputs has great potential in architectural design and has recently been explored in the computer vision community. However, the majority of existing methods synthesize floorplans in the…

Computer Vision and Pattern Recognition · Computer Science 2022-07-28 Jiachen Liu , Yuan Xue , Jose Duarte , Krishnendra Shekhawat , Zihan Zhou , Xiaolei Huang

Generative models for source code are an interesting structured prediction problem, requiring to reason about both hard syntactic and semantic constraints as well as about natural, likely programs. We present a novel model for this problem…

Machine Learning · Computer Science 2019-04-18 Marc Brockschmidt , Miltiadis Allamanis , Alexander L. Gaunt , Oleksandr Polozov

In this note, I discuss results on integer compositions/partitions given in the paper "A Unified Approach to Algorithms Generating Unrestricted and Restricted Integer Compositions and Integer Partitions". I also experiment with four…

Data Structures and Algorithms · Computer Science 2014-03-07 Steffen Eger

Mixed-precision computing has the potential to significantly reduce the cost of exascale computations, but determining when and how to implement it in programs can be challenging. In this article, we propose a methodology for enabling…

Mathematical Software · Computer Science 2025-07-02 Yanxiang Chen , Pablo de Oliveira Castro , Paolo Bientinesi , Niclas Jansson , Roman Iakymchuk

A common recent approach to semantic parsing augments sequence-to-sequence models by retrieving and appending a set of training samples, called exemplars. The effectiveness of this recipe is limited by the ability to retrieve informative…

Computation and Language · Computer Science 2022-09-30 Yury Zemlyanskiy , Michiel de Jong , Joshua Ainslie , Panupong Pasupat , Peter Shaw , Linlu Qiu , Sumit Sanghai , Fei Sha

This paper discusses the feasibility of using Large Language Models LLM for code generation with a particular application in designing an RISC. The paper also reviews the associated steps such as parsing, tokenization, encoding, attention…

Machine Learning · Computer Science 2024-01-22 Shadeeb Hossain , Aayush Gohil , Yizhou Wang

A linear code is called an MDS self-dual code if it is both an MDS code and a self-dual code with respect to the Euclidean inner product. The parameters of such codes are completely determined by the code length. In this paper, we consider…

Information Theory · Computer Science 2020-05-26 Weijun Fang , Jun Zhang , Shu-Tao Xia1 , Fang-Wei Fu

Software developers write a lot of source code and documentation during software development. Intrinsically, developers often recall parts of source code or code summaries that they had written in the past while implementing software or…

Software Engineering · Computer Science 2021-09-13 Md Rizwan Parvez , Wasi Uddin Ahmad , Saikat Chakraborty , Baishakhi Ray , Kai-Wei Chang

As we all know, many interesting and important codes are obtained by modifying or combining existing codes. In this paper, we focus on generalized Roth-Lempel (in short, GRL) codes and define a class of extended codes, i.e., the extended…

Information Theory · Computer Science 2025-08-19 Zhonghao Liang , Qunying Liao