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Model predictive control (MPC) is an optimal control technique which involves solving a sequence of constrained optimization problems across a given time horizon. In this paper, we introduce a category theoretic framework for constructing…

Optimization and Control · Mathematics 2024-03-12 Tyler Hanks , Baike She , Matthew Hale , Evan Patterson , Matthew Klawonn , James Fairbanks

This paper explores the integration of neural networks with logic programming, addressing the longstanding challenges of combining the generalization and learning capabilities of neural networks with the precision of symbolic logic.…

Artificial Intelligence · Computer Science 2023-11-08 Jipeng Han

The paper deals with an optimal control problem in a dynamical system described by a linear differential equation with the Caputo fractional derivative. The goal of control is to minimize a Bolza-type cost functional, which consists of two…

Optimization and Control · Mathematics 2019-09-25 Mikhail Gomoyunov

The open-source software package SolidStateDetectors$.$jl to calculate the fields and simulate the drifts of charge carriers in solid state detectors, together with the corresponding pulses, is introduced. The package can perform all…

Instrumentation and Detectors · Physics 2026-02-17 I. Abt , F. Fischer , F. Hagemann , L. Hauertmann , O. Schulz , M. Schuster , A. J. Zsigmond

This short note shows how to solve optimal control problems using second order sensitivity analysis

Optimization and Control · Mathematics 2019-05-22 Simon Zimmermann , Roi Poranne , Stelian Coros

We present ControlLLM, a novel framework that enables large language models (LLMs) to utilize multi-modal tools for solving complex real-world tasks. Despite the remarkable performance of LLMs, they still struggle with tool invocation due…

Computer Vision and Pattern Recognition · Computer Science 2023-12-19 Zhaoyang Liu , Zeqiang Lai , Zhangwei Gao , Erfei Cui , Ziheng Li , Xizhou Zhu , Lewei Lu , Qifeng Chen , Yu Qiao , Jifeng Dai , Wenhai Wang

Thermodynamic models are often vital when characterising complex systems, particularly natural gas, electrolyte, polymer, pharmaceutical and biological systems. However, their implementations have historically been abstruse and cumbersome,…

Computational Physics · Physics 2025-06-26 Pierre J. Walker , Hon-Wa Yew , Andrés Riedemann

We study the potential of using large language models (LLMs) as an interactive optimizer for solving maximization problems in a text space using natural language and numerical feedback. Inspired by the classical optimization literature, we…

Artificial Intelligence · Computer Science 2024-06-21 Allen Nie , Ching-An Cheng , Andrey Kolobov , Adith Swaminathan

Algorithm Operating System (AlgOS) is an unopinionated, extensible, modular framework for algorithmic implementations. AlgOS offers numerous features: integration with Optuna for automated hyperparameter tuning; automated argument parsing…

Software Engineering · Computer Science 2025-04-08 Llewyn Salt , Marcus Gallagher

Optimal control problem is typically solved by first finding the value function through Hamilton-Jacobi equation (HJE) and then taking the minimizer of the Hamiltonian to obtain the control. In this work, instead of focusing on the value…

Optimization and Control · Mathematics 2021-09-10 Alain Bensoussan , Jiayue Han , Sheung Chi Phillip Yam , Xiang Zhou

Solving complex optimal control problems have confronted computational challenges for a long time. Recent advances in machine learning have provided us with new opportunities to address these challenges. This paper takes model predictive…

Optimization and Control · Mathematics 2022-07-21 Weinan E , Jiequn Han , Jihao Long

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 rapid progress of artificial intelligence increasingly relies on efficient integrated circuit (IC) design. Recent studies have explored the use of large language models (LLMs) for generating Register Transfer Level (RTL) code, but…

Artificial Intelligence · Computer Science 2026-01-06 Yao Lu , Shang Liu , Hangan Zhou , Wenji Fang , Qijun Zhang , Zhiyao Xie

Simulation of non-adiabatic dynamics of a quantum system coupled to dissipative environments poses significant challenges. New sophisticated methods are regularly being developed with an eye towards moving to larger systems and more…

Quantum Physics · Physics 2023-06-07 Amartya Bose

We review recent results obtained to solve fractional order optimal control problems with free terminal time and a dynamic constraint involving integer and fractional order derivatives. Some particular cases are studied in detail. A…

Optimization and Control · Mathematics 2013-06-04 Shakoor Pooseh , Ricardo Almeida , Delfim F. M. Torres

The R package optimParallel provides a parallel version of the gradient-based optimization methods of optim(). The main function of the package is optimParallel(), which has the same usage and output as optim(). Using optimParallel() can…

Computation · Statistics 2018-05-01 Florian Gerber , Reinhard Furrer

We reformulate a class of non-linear stochastic optimal control problems introduced by Todorov (2007) as a Kullback-Leibler (KL) minimization problem. As a result, the optimal control computation reduces to an inference computation and…

Optimization and Control · Mathematics 2012-01-19 B. Kappen , V. Gomez , M. Opper

The Object Constraint Language (OCL) has been widely used in the modeling community to complement software models for precisely defining constraints and business rules for the modeled systems. There is a limited number of tools supporting…

Software Engineering · Computer Science 2025-03-04 Fitash Ul Haq , Jordi Cabot

Owl is a new numerical library developed in the OCaml language. It focuses on providing a comprehensive set of high-level numerical functions so that developers can quickly build up data analytical applications. In this abstract, we will…

Mathematical Software · Computer Science 2018-08-29 Liang Wang

We present a novel class of minimax optimal control problems with positive dynamics, linear objective function and homogeneous constraints. The proposed problem class can be analyzed with dynamic programming and an explicit solution to the…

Optimization and Control · Mathematics 2023-12-11 Alba Gurpegui , Emma Tegling , Anders Rantzer