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Solving real-world optimization tasks using physics-informed neural computing

Jaemin Seo

2024Scientific Reports48 citationsDOIOpen Access PDF

Abstract

Optimization tasks are essential in modern engineering fields such as chip design, spacecraft trajectory determination, and reactor scenario development. Recently, machine learning applications, including deep reinforcement learning (RL) and genetic algorithms (GA), have emerged in these real-world optimization tasks. We introduce a new machine learning-based optimization scheme that incorporates physics with the operational objectives. This physics-informed neural network (PINN) could find the optimal path in well-defined systems with less exploration and also was capable of obtaining narrow and unstable solutions that have been challenging with bottom-up approaches like RL or GA. Through an objective function that integrates governing laws, constraints, and goals, PINN enables top-down searches for optimal solutions. In this study, we showcase the PINN applications to various optimization tasks, ranging from inverting a pendulum, determining the shortest-time path, to finding the swingby trajectory. Through this, we discuss how PINN can be applied in the tasks with different characteristics.

Topics & Concepts

Computer scienceReinforcement learningTrajectory optimizationPath (computing)Artificial neural networkTrajectoryOptimization problemSpacecraftArtificial intelligenceFunction (biology)Genetic algorithmMathematical optimizationMachine learningOptimal controlAlgorithmMathematicsAerospace engineeringPhysicsEngineeringEvolutionary biologyBiologyAstronomyProgramming languageModel Reduction and Neural NetworksNeural Networks and ApplicationsNeural Networks and Reservoir Computing