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We present an open-source Julia-based software toolkit for solving the phase problem using dual-space iterative algorithms. The toolkit is specifically designed for aperiodic crystals and quasicrystals, supporting general space group…

Other Condensed Matter · Physics 2025-11-19 Pavel Kalugin

Nonconvex mixed-integer nonlinear programs (MINLPs) represent a challenging class of optimization problems that often arise in engineering and scientific applications. Because of nonconvexities, these programs are typically solved with…

Optimization and Control · Mathematics 2018-06-27 Ole Kröger , Carleton Coffrin , Hassan Hijazi , Harsha Nagarajan

Deep learning hyper-parameter optimization is a tough task. Finding an appropriate network configuration is a key to success, however most of the times this labor is roughly done. In this work we introduce a novel library to tackle this…

Machine Learning · Computer Science 2018-07-11 Andrés Camero , Jamal Toutouh , Enrique Alba

\textbf{FlexBox} is a flexible MATLAB toolbox for finite dimensional convex variational problems in image processing and beyond. Such problems often consist of non-differentiable parts and involve linear operators. The toolbox uses a…

Optimization and Control · Mathematics 2016-07-21 Hendrik Dirks

OptControl.jl(OptControl) implements that modeling optimal control problems with symbolic algebra system based on Julia language, and generates the corresponding numerical optimization codes to solve them with packages from Julia.…

Optimization and Control · Mathematics 2022-08-02 Jingyi Yang , Yuebao Yang , Mingtao Li

This article introduces new acceleration methods for fixed-point iterations. Extrapolations are computed using two or three mappings alternately and a new type of step length is proposed with good properties for nonlinear applications. The…

Optimization and Control · Mathematics 2021-08-17 Nicolas Lepage-Saucier

In this paper, we introduce GridapROMs, a Julia-based library for the numerical approximation of parameterized partial differential equations (PDEs) using a comprehensive suite of linear reduced order models (ROMs). The library is designed…

Numerical Analysis · Mathematics 2025-09-22 Nicholas Mueller , Santiago Badia

We describe a software package, TomOpt, developed to optimise the geometrical layout and specifications of detectors designed for tomography by scattering of cosmic-ray muons. The software exploits differentiable programming for the…

Many optimization problems in power transmission networks can be formulated as polynomial problems with complex variables. A polynomial optimization problem with complex variables consists in optimizing a real-valued polynomial whose…

Optimization and Control · Mathematics 2019-04-19 Julie Sliwak , Manuel Ruiz , Miguel F. Anjos , Lucas Létocart , Emiliano Traversi

Ai4EComponentLib.jl(Ai4EComponentLib) is a component-base model library based on Julia language, which relies on the differential equation solver DifferentialEquations.jl and the symbolic modeling tool Modelingtoolkit.jl. To handle problems…

Software Engineering · Computer Science 2022-08-25 Yuebao Yang , Jingyi Yang , Mingtao Li

Machine learning as a discipline has seen an incredible surge of interest in recent years due in large part to a perfect storm of new theory, superior tooling, renewed interest in its capabilities. We present in this paper a framework named…

Differentiable simulators are an emerging concept with applications in several fields, from reinforcement learning to optimal control. Their distinguishing feature is the ability to calculate analytic gradients with respect to the input…

Machine Learning · Computer Science 2021-11-10 Antonio Stanziola , Simon R. Arridge , Ben T. Cox , Bradley E. Treeby

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

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

We present QuantumToolbox$.$jl, an open-source Julia package for simulating open quantum systems. Designed with a syntax familiar to users of QuTiP (Quantum Toolbox in Python), it harnesses Julia's high-performance ecosystem to deliver fast…

Quantum Physics · Physics 2025-10-06 Alberto Mercurio , Yi-Te Huang , Li-Xun Cai , Yueh-Nan Chen , Vincenzo Savona , Franco Nori

We present an integrated prediction-optimization (PredOpt) framework to efficiently solve sequential decision-making problems by predicting the values of binary decision variables in an optimal solution. We address the key issues of…

Machine Learning · Computer Science 2023-11-14 Dogacan Yilmaz , İ. Esra Büyüktahtakın

The evergrowing computational complexity of High Performance Computing applications is often met with an horizontal scalling of computing systems. Colaterally, each added node risks being a single point of failure to parallel programs,…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-04 Marcos Irigoyen , Carla Santana , Ramon C. F Araújo , Samuel Xavier-de-Souza

Evolutionary algorithms have been widely applied for solving dynamic constrained optimization problems (DCOPs) as a common area of research in evolutionary optimization. Current benchmarks proposed for testing these problems in the…

Neural and Evolutionary Computing · Computer Science 2019-07-10 Maryam Hasani-Shoreh , María-Yaneli Ameca-Alducin , Wilson Blaikie , Frank Neumann , Marc Schoenauer

We present the software design of Gridap, a novel finite element library written exclusively in the Julia programming language, which is being used by several research groups world-wide to simulate complex physical phenomena such as…

Mathematical Software · Computer Science 2022-04-13 Francesc Verdugo , Santiago Badia

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