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This year marks the consolidation of Julia (https://julialang.org/), a programming language designed for scientific computing, as the first stable version (1.0) has been released, in August 2018. Among its main features, expressiveness and…

Instrumentation and Methods for Astrophysics · Physics 2018-12-05 Maurizio Tomasi , Mosè Giordano

Sequential sampling models (SSMs) are a widely used framework describing decision-making as a stochastic, dynamic process of evidence accumulation. SSMs popularity across cognitive science has driven the development of various software…

Mathematical Software · Computer Science 2025-12-17 Kianté Fernandez , Dominique Makowski , Christopher Fisher

The goal of program synthesis is to automatically generate programs in a particular language from corresponding specifications, e.g. input-output behavior. Many current approaches achieve impressive results after training on randomly…

Machine Learning · Computer Science 2020-01-01 Richard Shin , Neel Kant , Kavi Gupta , Christopher Bender , Brandon Trabucco , Rishabh Singh , Dawn Song

Program synthesis from input-output examples, also called programming by example (PBE), has had tremendous impact on automating end-user tasks. Large language models (LLMs) have the ability to solve PBE tasks by generating code in different…

Programming Languages · Computer Science 2025-03-21 Ruhma Khan , Sumit Gulwani , Vu Le , Arjun Radhakrishna , Ashish Tiwari , Gust Verbruggen

NetworkDynamics.jl is an easy-to-use and computationally efficient package for working with heterogeneous dynamical systems on complex networks, written in Julia, a high-level, high-performance, dynamic programming language. By combining…

Mathematical Software · Computer Science 2021-07-02 Michael Lindner , Lucas Lincoln , Fenja Drauschke , Julia Monika Koulen , Hans Würfel , Anton Plietzsch , Frank Hellmann

Program synthesis is the task of automatically generating a program consistent with a specification. Recent years have seen proposal of a number of neural approaches for program synthesis, many of which adopt a sequence generation paradigm…

Machine Learning · Computer Science 2018-05-23 Rudy Bunel , Matthew Hausknecht , Jacob Devlin , Rishabh Singh , Pushmeet Kohli

Synthesizing a program that realizes a logical specification is a classical problem in computer science. We examine a particular type of program synthesis, where the objective is to synthesize a strategy that reacts to a potentially…

Artificial Intelligence · Computer Science 2020-01-01 Alberto Camacho , Sheila A. McIlraith

A deductive program synthesis tool takes a specification as input and derives a program that satisfies the specification. The drawback of this approach is that search spaces for such correct programs tend to be enormous, making it difficult…

Neural and Evolutionary Computing · Computer Science 2023-01-23 Yutaka Nagashima

Technical computing is a challenging application area for programming languages to address. This is evinced by the unusually large number of specialized languages in the area (e.g. MATLAB, R), and the complexity of common software stacks,…

Programming Languages · Computer Science 2018-08-13 Jeff Bezanson , Jake Bolewski , Jiahao Chen

We describe the Aligator.jl software package for automatically generating all polynomial invariants of the rich class of extended P-solvable loops with nested conditionals. Aligator.jl is written in the programming language Julia and is…

Symbolic Computation · Computer Science 2018-08-17 Andreas Humenberger , Maximilian Jaroschek , Laura Kovács

There are plenty of excellent plotting libraries. Each excels at a different use case: one is good for printed 2D publication figures, the other at interactive 3D graphics, a third has excellent L A TEX integration or is good for creating…

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…

Formal methods apply algorithms based on mathematical principles to enhance the reliability of systems. It would only be natural to try to progress from verification, model checking or testing a system against its formal specification into…

Software Engineering · Computer Science 2014-02-28 Gal Katz , Doron Peled

This work introduces (1) a technique that allows large language models (LLMs) to leverage user-provided code when solving programming tasks and (2) a method to iteratively generate modular sub-functions that can aid future code generation…

Machine Learning · Computer Science 2023-12-05 Patrick Hajali , Ignas Budvytis

Program synthesis--the automated generation of executable code from high-level specifications--has been a central goal of computer science for over fifty years. This thesis provides a comparative literature review of the main paradigms that…

Programming Languages · Computer Science 2025-08-04 Zurabi Kobaladze , Anna Arnania , Tamar Sanikidze

We present a Julia package, DisjunctiveProgramming.jl, that extends the functionality in JuMP.jl to allow modeling problems via logical propositions and disjunctive constraints. Such models can then be reformulated into Mixed-Integer…

Logic in Computer Science · Computer Science 2023-04-21 Hector D. Perez , Shivank Joshi , Ignacio E. Grossmann

Enhancing the mathematical reasoning of large language models (LLMs) demands high-quality training data, yet conventional methods face critical challenges in scalability, cost, and data reliability. To address these limitations, we propose…

Computation and Language · Computer Science 2025-08-27 Sirui Chen , Changxin Tian , Binbin Hu , Kunlong Chen , Ziqi Liu , Zhiqiang Zhang , Jun Zhou

We present NEP-PACK a novel open-source library for the solution of nonlinear eigenvalue problems (NEPs). The package provides a framework to represent NEPs, as well as efficient implementations of many state-of-the-art algorithms. The…

Numerical Analysis · Mathematics 2018-11-26 Elias Jarlebring , Max Bennedich , Giampaolo Mele , Emil Ringh , Parikshit Upadhyaya

In recent years, deep learning has made tremendous progress in a number of fields that were previously out of reach for artificial intelligence. The successes in these problems has led researchers to consider the possibilities for…

Artificial Intelligence · Computer Science 2018-02-08 Neel Kant

Modern computing systems increasingly rely on composing heterogeneous devices to improve performance and efficiency. Programming these systems is often unproductive: algorithm implementations must be coupled to system-specific logic,…

Programming Languages · Computer Science 2025-03-17 Russel Arbore , Aaron Councilman , Xavier Routh , Ryan Ziegler , Praneet Rathi , Vikram Adve