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We present PEPSKit.jl, a Julia package for simulating two-dimensional quantum many-body systems with infinite projected entangled-pair states (iPEPS). PEPSKit.jl builds on the TensorKit.jl package for tensor computations and provides…

Strongly Correlated Electrons · Physics 2026-05-20 Paul Brehmer , Lander Burgelman , Zheng-Yuan Yue , Gleb Fedorovich , Jutho Haegeman , Lukas Devos

This paper describes the architectural design as well as key implementation details of the Open Source popt4jlib library (https://githhub.org/ioannischristou/popt4jlib) that contains a fairly large number of meta-heuristic and other exact…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-08-02 Ioannis T. Christou

Equality saturation is an emerging technique for program and query optimization developed in the programming language community. It performs term rewriting over an E-graph, a data structure that compactly represents a program space. Despite…

Programming Languages · Computer Science 2025-01-07 Dan Suciu , Yisu Remy Wang , Yihong Zhang

Mathematical software and graph-theoretical algorithmic packages to efficiently model, analyze and query graphs are crucial in an era where large-scale spatial, societal and economic network data are abundantly available. One such package…

Data Structures and Algorithms · Computer Science 2020-02-04 Dimitrios Michail , Joris Kinable , Barak Naveh , John V Sichi

We present MultiObjectiveAlgorithms.jl, an open-source Julia library for solving multi-objective optimization problems written in JuMP. MultiObjectiveAlgorithms.jl implements a number of different solution algorithms, which all rely on an…

Optimization and Control · Mathematics 2026-05-26 Oscar Dowson , Xavier Gandibleux , Gökhan Kof

Scorio.jl is a Julia package for evaluating and ranking systems from repeated responses to shared tasks. It provides a common tensor-based interface for direct score-based, pairwise, psychometric, voting, graph, and listwise methods, so the…

Mathematical Software · Computer Science 2026-03-17 Mohsen Hariri , Michael Hinczewski , Vipin Chaudhary

In recent years, large language models (LLMs) have excelled in natural language processing tasks but face significant challenges in complex reasoning tasks such as mathematical reasoning and code generation. To address these limitations, we…

Artificial Intelligence · Computer Science 2025-08-07 Xingyu Chen , Junxiu An , Jun Guo , Li Wang , Jingcai Guo

As astronomical data grows in volume and complexity, the scalability of analysis software becomes increasingly important. At the same time, astrophysics analysis software relies heavily on open-source contributions, so languages and tools…

Instrumentation and Methods for Astrophysics · Physics 2024-02-01 Edward Berman , Jacqueline McCleary

Bridging cultures that have often been distant, Julia combines expertise from the diverse fields of computer science and computational science to create a new approach to numerical computing. Julia is designed to be easy and fast. Julia…

Mathematical Software · Computer Science 2015-07-21 Jeff Bezanson , Alan Edelman , Stefan Karpinski , Viral B. Shah

Recently, there has been a growing trend of employing large language models (LLMs) to judge the quality of other LLMs. Many studies have adopted closed-source models, mainly using GPT-4 as the evaluator. However, due to the closed-source…

Artificial Intelligence · Computer Science 2024-10-15 Yijie Li , Yuan Sun

This paper presents a principled framework for designing energy-aware metaheuristics that operate under fixed energy budgets. We introduce a unified operator-level model that quantifies both numerical gain and energy usage, and define a…

Neural and Evolutionary Computing · Computer Science 2026-04-22 Enrique Alba , Tomohiro Harada , Gabriel Luque

QDax is an open-source library with a streamlined and modular API for Quality-Diversity (QD) optimization algorithms in Jax. The library serves as a versatile tool for optimization purposes, ranging from black-box optimization to continuous…

LeoTask is a Java library for computation-intensive and time-consuming research tasks. It automatically executes tasks in parallel on multiple CPU cores on a computing facility. It uses a configuration file to enable automatic exploration…

Software Engineering · Computer Science 2024-01-02 Changwang Zhang , Shi Zhou , Benjamin M. Chain

In many population-based medical studies, the specific cause of death is unidentified, unreliable or even unavailable. Relative survival analysis addresses this scenario, outside of standard (competing risks) survival analysis, to…

Computation · Statistics 2024-08-29 Rim Alhajal , Oskar Laverny

We present a Julia-based interface to the precompiled HALLaR and cuHALLaR binaries for large-scale semidefinite programs (SDPs). Both solvers are established as fast and numerically stable, and accept problem data in formats compatible with…

Optimization and Control · Mathematics 2025-08-25 Jacob Aguirre , Diego Cifuentes , Vincent Guigues , Renato D. C. Monteiro , Victor Hugo Nascimento , Arnesh Sujanani

While large language models (LLMs) have demonstrated impressive capabilities in formal theorem proving, current benchmarks fail to adequately measure library-grounded abstraction -- the ability to reason with high-level interfaces and…

Logic in Computer Science · Computer Science 2026-02-27 Rongge Xu , Hui Dai , Yiming Fu , Jiedong Jiang , Tianjiao Nie , Junkai Wang , Holiverse Yang , Zhi-Hao Zhang

The scaling of Large Language Models (LLMs) for retrieval-based tasks, particularly in Retrieval Augmented Generation (RAG), faces significant memory constraints, especially when fine-tuning extensive prompt sequences. Current open-source…

Machine Learning · Computer Science 2024-03-20 Anique Tahir , Lu Cheng , Huan Liu

Mathematical models of natural and man-made systems often have many adjustable parameters that must be estimated from multiple, potentially conflicting datasets. Rather than reporting a single best-fit parameter vector, it is often more…

Quantitative Methods · Quantitative Biology 2026-04-01 Jeffrey D. Varner

Neural-symbolic methods have demonstrated efficiency in enhancing the reasoning abilities of large language models (LLMs). However, existing methods mainly rely on syntactically mapping natural languages to complete formal languages like…

Computation and Language · Computer Science 2024-06-04 Yiming Wang , Zhuosheng Zhang , Pei Zhang , Baosong Yang , Rui Wang

Logical reasoning with large language models (LLMs) has received growing attention. One mainstream approach translates natural language into formal logic and then applies symbolic solvers for deduction. While effective in many tasks, these…

Computation and Language · Computer Science 2026-02-02 Qingchuan Li , Jiatong Li , Zirui Liu , Mingyue Cheng , Yuting Zeng , Qi Liu , Tongxuan Liu