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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

Recent advances in computing hardware and modeling software have given rise to new applications for numerical optimization. These new applications occasionally uncover bottlenecks in existing optimization algorithms and necessitate further…

Mathematical Software · Computer Science 2024-10-18 Anugrah Jo Joshy , John T. Hwang

Python has become the programming language of choice for research and industry projects related to data science, machine learning, and deep learning. Since optimization is an inherent part of these research fields, more optimization related…

Neural and Evolutionary Computing · Computer Science 2020-05-25 Julian Blank , Kalyanmoy Deb

Access to vast amounts of data along with affordable computational power stimulated the reincarnation of neural networks. The progress could not be achieved without adequate software tools, lowering the entry bar for the next generations of…

Machine Learning · Computer Science 2019-10-22 Tomasz Kornuta

Optimization on manifolds is a class of methods for optimization of an objective function, subject to constraints which are smooth, in the sense that the set of points which satisfy the constraints admits the structure of a differentiable…

Mathematical Software · Computer Science 2020-09-03 James Townsend , Niklas Koep , Sebastian Weichwald

At many scales in neuroscience, appropriate mathematical models take the form of complex dynamical systems. Parametrising such models to conform to the multitude of available experimental constraints is a global nonlinear optimisation…

JuMP is an open-source modeling language that allows users to express a wide range of optimization problems (linear, mixed-integer, quadratic, conic-quadratic, semidefinite, and nonlinear) in a high-level, algebraic syntax. JuMP takes…

Optimization and Control · Mathematics 2017-05-08 Iain Dunning , Joey Huchette , Miles Lubin

The deep learning language of choice these days is Python; measured by factors such as available libraries and technical support, it is hard to beat. At the same time, software written in lower-level programming languages like C++ retain…

Computation and Language · Computer Science 2024-08-23 Thamme Gowda , Roman Grundkiewicz , Elijah Rippeth , Matt Post , Marcin Junczys-Dowmunt

Optimization models have been applied to solve a wide variety of decision-making problems. These models are usually developed by optimization experts but are used by practitioners without optimization expertise in various application…

Three-dimensional topology optimization (TO) is a powerful technique in engineering design, but readily usable, open-source implementations remain limited within the popular Python scientific environment. This paper introduces PyTopo3D, a…

Graphics · Computer Science 2025-04-09 Jihoon Kim , Namwoo Kang

Linear operators and optimisation are at the core of many algorithms used in signal and image processing, remote sensing, and inverse problems. For small to medium-scale problems, existing software packages (e.g., MATLAB, Python numpy and…

Mathematical Software · Computer Science 2019-07-30 Matteo Ravasi , Ivan Vasconcelos

A Materials Project based open-source Python tool, MPInterfaces, has been developed to automate the high-throughput computational screening and study of interfacial systems. The framework encompasses creation and manipulation of interface…

Geoopt is a research-oriented modular open-source package for Riemannian Optimization in PyTorch. The core of Geoopt is a standard Manifold interface that allows for the generic implementation of optimization algorithms. Geoopt supports…

Computational Geometry · Computer Science 2020-07-20 Max Kochurov , Rasul Karimov , Serge Kozlukov

PARyOpt is a python based implementation of the Bayesian optimization routine designed for remote and asynchronous function evaluations. Bayesian optimization is especially attractive for computational optimization due to its low cost…

Optimization and Control · Mathematics 2018-09-14 Balaji Sesha Sarath Pokuri , Alec Lofquist , Chad M Risko , Baskar Ganapathysubramanian

Optimization modeling via mixed-integer linear programming (MILP) is fundamental to industrial planning and scheduling, yet translating natural-language requirements into solver-executable models and maintaining them under evolving business…

Artificial Intelligence · Computer Science 2026-03-24 Yiliu He , Tianle Li , Binghao Ji , Zhiyuan Liu , Di Huang

CVXPY is a domain-specific language for convex optimization embedded in Python. It allows the user to express convex optimization problems in a natural syntax that follows the math, rather than in the restrictive standard form required by…

Optimization and Control · Mathematics 2016-06-02 Steven Diamond , Stephen Boyd

Prompt engineering has made significant contributions to the era of large language models, yet its effectiveness depends on the skills of a prompt author. This paper introduces $\textit{iPrOp}$, a novel interactive prompt optimization…

Computation and Language · Computer Science 2025-06-30 Jiahui Li , Roman Klinger

Optimization over the embedded submanifold defined by constraints $c(x) = 0$ has attracted much interest over the past few decades due to its wide applications in various areas. Plenty of related optimization packages have been developed…

Optimization and Control · Mathematics 2024-10-15 Nachuan Xiao , Xiaoyin Hu , Xin Liu , Kim-Chuan Toh

Pattern matching is a powerful tool for symbolic computations. Applications include term rewriting systems, as well as the manipulation of symbolic expressions, abstract syntax trees, and XML and JSON data. It also allows for an intuitive…

Programming Languages · Computer Science 2017-10-09 Manuel Krebber , Henrik Barthels , Paolo Bientinesi

The Python Battery Optimisation and Parameterisation (PyBOP) package provides methods for estimating and optimising battery model parameters, offering both deterministic and stochastic approaches with example workflows to assist users.…

Systems and Control · Electrical Eng. & Systems 2026-01-16 Brady Planden , Nicola E. Courtier , Martin Robinson , Agriya Khetarpal , Ferran Brosa Planella , David A. Howey
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