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Showing records 151 to 175 of 504. [First] Page: 3 4 5 6 7 8 9 10 11 Last
Repurposing Existing Combined Cycle Power Plants with Methane Production for Renewable Energy Storage
Diego Santamaría, Antonio Sánchez, Mariano Martín
June 27, 2025 (v1)
Energy storage is essential for transitioning to a renewable system based on renewable sources. To meet this challenge, Power-to-X technologies are attracting more attention. This work explores converting the excess of electric energy obtained from wind or solar sources into hydrogen and then into methane leveraging existing natural gas infrastructure for easier storage and transport. The process involves two stages: Firstly, the methane production step using Power-to-X technologies during excess renewable energy periods and, secondly, the electricity generation step during high demand with CO2 capture for reuse in methane synthesis, forming a closed carbon loop. In this way the Power-to-X process is integrated with repurposed combined cycle power plants (CCPPs) creating a Power-to-methane-to-power system. Two approaches are evaluated: oxy-combustion, which simplifies process CO2 purification and air combustion, which needs a more complex CO2 purification, such as amine absorption or P... [more]
Towards Sustainable Processing Of Municipal Household Organic Waste: The Role Of Energy Mix Grids
Christian Ottini, Gwenola Yannou-Le Bris, Sandra Domenek, Felipe Buendia
June 27, 2025 (v1)
Subject: Environment
Keywords: Anaerobic Digestion, Biowaste, Circular Bioeconomy, Composting, Energy Efficiency, Life Cycle Assessment, Municipal Household Waste Management
The reduction and recovery of organic fraction of municipal solid waste is a major challenge for contemporary society. It requires the establishment of regional strategies with minimized environmental impact. This study employs life cycle assessment to evaluate the respective environmental performances of the current French system based on incineration, and those of alternative systems including (i) anaerobic digestion with composting and (ii) composting for biowaste treatment under different energy scenarios. The environmental impacts of Parisian biowaste are calculated by considering incineration technologies in the area, the French energy mix in 2022, the average European energy mix in 2022 and the projected French energy mix for 2030. The results show that the proportion of fossil-based sources in the energy mixes significantly influences the environmental performance of waste management systems. Energy mixes based in high-carbon fossil sources dependency tend to favour incineratio... [more]
Integration of Direct Air Capture with CO2 Utilization Technologies powered by Renewable Energy Sources to deliver Negative Carbon Emissions
Calin-Cristian Cormos, Arthur-Maximilian Báthori, Angéla-Mária Kasza, Maria Mihet, Letitia Petrescu, Ana-Maria Cormos
June 27, 2025 (v1)
Keywords: Carbon Dioxide Capture, CO2 utilization, Energy Efficiency, Modelling and Simulations, Process Design, Renewable and Sustainable Energy
Reduction of greenhouse gas emissions is an important environmental element to actively combat the global warming and climate change. In view of reducing the CO2 concentration from the atmosphere, the Direct Air Capture (DAC) options are promising technologies in delivering negative carbon emissions. The integration of renewable-powered DAC systems with the CO2 utilization technologies can deliver both negative carbon emissions as well as reduced energy and economic penalties of overall decarbonized processes. This work evaluates the innovative energy- and cost-efficient potassium - calcium looping cycle as promising direct air capture technology integrated with various CO2 catalytic transformations into basic chemicals / energy carriers (e.g., synthetic natural gas, methanol etc.). The integrated system will be powered by renewable energy (in terms of both heat and electricity requirements). The investigated DAC concept is set to capture 1 Mt/y CO2 with about 75 % carbon capture rate.... [more]
Assessing the Environmental Impact of Global Hydrogen Supply through the Lens of Planetary Boundaries
Jesmyl-Elisa Cordova-Cordova, Carlos Pozo
June 27, 2025 (v1)
Subject: Environment
Keywords: Absolute environmental sustainability, Hydrogen, Life Cycle Assessment, Planetary Boundaries
Hydrogen is increasingly recognized as a crucial energy carrier for a low-carbon future. However, most studies on clean hydrogen production devote limited attention to the entire supply chain. This study evaluates the sustainability of 800 combinations of hydrogen production and transportation methods, comparing their environmental impacts against the geophysical limits defined by the Planetary Boundaries framework. Findings reveal that no supply chain alone can make the current economy sustainable, yet powering water electrolysis with bioenergy and carbon capture and storage can meet the CO2-based planetary boundaries. The analysis also underscores the need for decarbonization efforts in the hydrogen transportation sector, as certain options could offset the benefits of clean hydrogen production.
Techno-economic Assessment of Sustainable Aviation Fuel Production via H2/CO2-Based Methanol Pathway
Pierre Guilloteau, Hugo Silva, Anders Andreasen, Niklas Groll, Anker Degn Jensen, Gürkan Sin
June 27, 2025 (v1)
Keywords: Alternative Fuels, Methanol, Modelling and Simulations, Technoeconomic Analysis
To achieve long-term greenhouse gas neutrality in aviation, replacing fossil aviation fuels with Sustainable Aviation Fuels (SAF) from renewable sources is essential. A SAF production process from renewable hydrogen and carbon dioxide, was designed using Aveva Process Simulation, followed by comprehensive economical assessments. The designed process leads to an annual production of 37kt of SAF, with 97% of the molecules featuring a carbon chain length between 8 and 16. This output indicates a robust and targeted production capability. With an in-depth optimization of the methanol reactor, it was found that the profitability of the plant aligns with other SAF studies, demonstrating a Minimum Selling Price of Product of $2.46/kg after Heat Integration. In terms of economic profitability, the production of SAF using the methanol pathway appears to be an alternative to other SAF production pathways such as Fischer-Tropsch process but resides dependent on the evolution of H2 production tech... [more]
CO2 recycling plant for decarbonizing hard-to-abate industries: Empirical modelling and Process design of a CCU plant- A case study
Jose Antonio Abarca, Stephanie Arias-Lugo, Lucia Gomez-Coma, Guillermo Diaz-Sainz, Angel Irabien
June 27, 2025 (v1)
Keywords: Carbon Dioxide Capture, Electrocatalysis, Formic acid, Modelling, Optimization, Process Design
Climate change, driven by increasing CO2 emissions, necessitates innovative mitigation strategies, particularly for hard-to-abate industries. Carbon Capture and Utilization technologies offer promising solutions by capturing CO2 from industrial flue gases and converting it into value-added products. Among capture methods, membrane separation stands out for its compact design, energy efficiency, and scalability. Following capture, CO2 can be converted into chemicals like formic acid using electrocatalytic processes, enabling energy storage from renewable sources. This study proposes the design of an industrial demonstrator for a CO2 recycling plant targeting hard-to-abate sectors such as textile and cement industries. The system integrates polymeric membranes for CO2 capture and a 100 cm² electrochemical reactor for CO2 electroreduction into formic acid. Experimental data from both stages are used to develop predictive models based on artificial neural networks (ANN), optimizing system... [more]
Optimizing Heat Recovery: Advanced Design of Integrated Heat Exchanger Networks with ORCs and Heat Pumps
Zinet Mekidiche, Juan A. Labarta, José A. Caballero
June 27, 2025 (v1)
Keywords: Eco-Friendly Heat Recovery, Electrification Strategies, Green Heat Integration, Low-Carbon Technology
A comprehensive model has been developed to design heat exchanger networks integrated with organic Rankine cycles (ORCs) and heat pumps, aiming to optimize energy efficiency. The model focuses on two key objectives: first, using heat pumps to reduce dependency on external services by enhancing heat recovery within the system; second, utilizing ORCs to recover residual heat or generate additional energy. To achieve optimal performance, the model requires careful selection of fluids for both ORCs and heat pumps, and the determination of optimal operating temperatures for maximum efficiency. The heat exchanger network is designed to be flexible, with non-fixed inlet and outlet temperatures, while simultaneously optimizing the number and operating conditions of ORCs and heat pumps. This approach reduces costs related to external services, electricity, and equipment such as compressors and turbines. Ultimately, the model facilitates the design of a heat exchanger network that efficiently ut... [more]
Optimization of Sustainable Fuel Station Retrofitting: A Set-Covering Approach considering Environmental and Economic Objectives
Daniel Vázquez, Raul Calvo-Serrano
June 27, 2025 (v1)
Subject: Environment
In this work, we propose a mixed-integer linear programming (MILP) model that optimizes economic and environmental objectives by retrofitting fuel stations for the case study of Spain. The model contains set-covering constraints that ensure that there is at least one retrofitted fuel station within a radius of 20 kilometers of each retrofitted fuel station. The results indicate that by retrofitting fuel stations to allow for electric vehicles, both economic and environmental objectives improve, while showing which power plants would be tasked with the increase in electricity production to satisfy the increased electric demand.
Modelling and Analysis of CO2 Electrolyzers Integrated with Downstream Separation Processes via Heat Pumps
Riccardo Dal Mas, Andrea Carta, Ana Somoza-Tornos, Anton A. Kiss
June 27, 2025 (v1)
Keywords: Carbon Dioxide, Electrification, Heat Pump, Process Design, Process Integration
The electrification of chemical processes and carbon capture and utilisation represent two promising approaches to improve efficiency and decrease carbon emissions of the process industry. The development of electrolyzers has gathered momentum in the last decades, allowing for the possible introduction of renewable electrons into carbon dioxide-based chemicals manufacture. While the performance of the electrolyzers is subject to improvements driven by the experimental community, the generation of waste heat is unavoidable due to the electrical resistances and process inefficiencies within the electrochemical cells. The possibility of re-using this waste heat has not been investigated within the realm of carbon dioxide electrolyzers. Here we show the potential of upgrading this waste heat by means of a heat pump, for its utilisation in the downstream processing of formic acid obtained from carbon dioxide electroreduction. We found that the waste heat represents roughly 62% of the power... [more]
Green Solvent Alternative for Extractive Distillation of 1,3-Butadiene
João P. Gomes, Rodrigo Silva, Clemente Nunes, Domingos Barbosa
June 27, 2025 (v1)
Keywords: 13-Butadiene, Aspen Plus, Extractive distillation, Green solvent, Process simulation, Propylene carbonate
The separation of 1,3-butadiene from C4 hydrocarbon mixtures is a crucial step in the production of synthetic rubbers and plastics. Conventional extractive distillation methods using solvents, like N,N-dimethylformamide (DMF), have proven effective but presents significant health and environmental challenges. This study explores the feasibility of using propylene carbonate (PC) as a green solvent alternative for butadiene extractive distillation, leveraging its environmentally friendly properties and industrial compatibility. Simulations were conducted using Aspen Plus®, employing the Non-Random Two-Liquid (NRTL) model coupled with the Redlich-Kwong equation of state to describe phase equilibrium. Results indicate that PC integrates seamlessly into existing processes, achieving comparable operational stability and butadiene separation efficiency with minimal modifications. A significant design improvement was the elimination of the methylacetylene separation column in the PC process, w... [more]
Engineering the Final Frontier: The Role of Chemical and Process Systems Engineering in Space Exploration
Edwin Zondervan
June 27, 2025 (v1)
Keywords: chemical engineering, process systems engineering, Space exploration
Space exploration demands the integration of multiple scientific and engineering disciplines, with chemical engineering and process systems engineering playing pivotal roles. This paper examines their critical contributions to propulsion systems, life support mechanisms, and advanced materials essential for space missions. Recent advancements in chemical propellants and rocket fuels, illustrated by SpaceX and NASA missions, have significantly improved propulsion efficiency and safety. Chemical engineering is vital in developing air purification, water recycling, and bioregenerative life support systems, ensuring astronaut survival and mission sustainability. Additionally, creating heat-resistant, lightweight materials enhances spacecraft durability under extreme space conditions. Process systems engineering (PSE) complements these efforts by integrating, simulating, and controlling complex systems. PSE ensures reliable subsystem integration and uses predictive analytics and advanced mo... [more]
A Novel AI-Driven Approach for Parameter Estimation in Gas-Phase Fixed-Bed Experiments
Rui D. G. Matias, Alexandre F.P. Ferreira, Idelfonso B.R. Nogueira, Ana M. Ribeiro
June 27, 2025 (v1)
Subject: Optimization
Keywords: Adsorption, Artificial Intelligence, Optimization, Parameter Estimation
The transition to renewable energy sources, such as biogas, requires purification processes to separate methane from carbon dioxide, with adsorption-based methods being widely employed. Accurate simulations of these systems, governed by coupled PDEs, ODEs, and algebraic equations, critically depend on precise parameter determination. While traditional approaches often result in significant errors or complex procedures, optimization algorithms provide a more efficient and reliable means of parameter estimation, simplifying the process, improving simulation accuracy, and enhancing the understanding of these systems. This work introduces an Artificial Intelligence-based methodology for estimating the isotherm parameters of a mathematical phenomenological model for fixed-bed experiments. The separation of CO2 and CH4 is used as case study. This work develops an algorithm for parameter estimation for the system's mathematical model. The results show that the validated model has a close fit... [more]
Physics-informed Data-driven control of Electrochemical Separation Processes
Teslim Olayiwola, Kyle Territo, Jose Romagnoli
June 27, 2025 (v1)
Keywords: Intelligent Systems, Machine Learning, Process Control, Reinforcement Learning, Separation
Optimizing the operational conditions of electrochemical separation systems to achieve higher separation efficiency remains a complex challenge due to their nonlinear and dynamic nature. In this work, we proposed a Reinforcement Learning (RL)-based control framework to address this challenge. By applying various RL algorithms, we trained an RL-based controller that adapts to different system configurations and conditions. Also, the trained model learns the optimality between the removal efficiency and energy consumption. Overall, this approach autonomously learns the optimal operational parameters, significantly improving ion removal efficiency. The proposed RL-based control system enhances the performance of electrochemical system, providing a versatile and adaptive solution for optimizing separation across multiple electrochemical technologies. This work demonstrates the potential of RL in advancing the design and control of sustainable water purification systems.
Reinforcement learning for distillation process synthesis using transformer blocks
N. Slager, M.B. Franke
June 27, 2025 (v1)
Subject: Optimization
Keywords: Artificial Intelligence, Distillation, Machine Learning, Optimization, Process Synthesis, Reinforcement learning, Transformer Blocks
A reinforcement learning framework is developed for the synthesis of distillation trains. The rigorous Naphtali-Sandholm algorithm for equilibrium separation modeling was implemented in JAX and coupled with the benchmarking Jumanji RL library. The vanilla actor-critic agent was successfully trained to build distillation trains for a seven-component hydrocarbon mixture. A transformer encoder structure was used to apply self-attention over the agent’s observation. The agent was trained on minimal data representation containing quantitative component flows and relative volatility parameters between present components. Training sessions involving 5·104 episodes (3·105 column designs) were typically run in under 60 minutes. While training was fast and reliable with appropriate tuning of the hyperparameters, further improvements are needed in the generalizability performance for similar separation problems.
Hybrid model development for Succinic Acid fermentation: relevance of ensemble learning for enhancing model prediction
Juan Federico Herrera-Ruiz, Javier Fontalvo, Oscar Andrés Prado-Rubio
June 27, 2025 (v1)
Keywords: Fermentation, Hybrid modelling, Machine Learning, Modelling, Modelling and Simulations, Reaction Engineering, Succinic Acid Kinetics
Sustainable development goals have spurred advancements in bioprocess design, driven by improved process monitoring, data storage, and computational power. High-fidelity models are essential for advanced process system engineering, yet accurate parametric models for bioprocessing remain challenging due to overparameterization, often resulting in poor predictive accuracy. Hybrid modeling, combining parametric and non-parametric methods, offers a promising solution by enhancing accuracy while maintaining interpretability. This study explores hybrid models for succinic acid fermentation by Escherichia coli, a critical process for sustainable bio-based chemical production. The research presents a structured exploration of hybrid model architectures and their robustness under varying conditions. Experimental data were preprocessed to remove noise and outliers, and hybrid model structures were developed with differing levels of hybridization (from one to all reaction rates). Kinetic paramete... [more]
Predicting Surface Tension of Organic Molecules using COSMO-RS Theory and Machine Learning
Flora Esposito, Ulderico Di Caprio, Bruno Rodrigues, Florence H. Vermeire, Idelfonso B.R. Nogueira, M.Enis Leblebici
June 27, 2025 (v1)
Keywords: COSMO-RS, First-Principle modeling, Hybrid Modeling, Machine Learning, Surface tension
Surface tension is a fundamental property at the liquid/gas interface, influencing phenomena such as capillary action, droplet formation, and interfacial behavior in chemical engineering processes. Despite its significance, experimental determination of surface tension is time-intensive and impractical for in silico-designed compounds. Predictive models are essential for bridging this gap. This study expands on Gaudin's COSMO-RS-based model, which assumes uniform molecular orientation at the surface, by testing its predictive capability across broader temperatures (5-50°C) and developing a hybrid model combining first-principle and machine learning insights to improve Gaudin's model predictions. The HM employs a serial configuration where COSMO-RS predictions serve as inputs alongside molecular descriptors, derived using the Mordred library. SHAP analysis guides feature selection, enhancing model interpretability. An artificial neural network refines predictions, optimized via Bayesian... [more]
The Smart HPLC Robot: Fully Autonomous Method Development Guided by A Mechanistic Model Framework
Dian Ning Chia, Fanyi Duanmu, Luca Mazzei, Eva Sorensen, Maximilian O. Besenhard
June 27, 2025 (v1)
Keywords: Autonomous, Batch Process, Chromatography, Digital Twin, Genetic Algorithm, Industry 40, Mechanistic Model, Modelling and Simulations, Optimization, Self-driving
Developing ultra- or high-performance liquid chromatography (HPLC) methods for analysis or purification requires significant amounts of material and manpower, and typically involves time-consuming iterative lab-based workflows. This work demonstrates in two case studies that an autonomous HPLC platform coupled with a mechanistic model that self-corrects itself by performing parameter estimation can efficiently develop an optimized HPLC method with minimal experiments (i.e., reduced experimental costs and burden) and manual intervention (i.e., reduced manpower). At the same time, this HPLC platform, referred to as Smart HPLC Robot, can deliver a calibrated mechanistic model that provides valuable insights into method robustness.
A Comparative Analysis of Industrial MLOps prototype for ML Application Deployment at the edge devices
Fatima Rani, Fenin Jose, Lucas Vogt, Leonhard Urbas
June 27, 2025 (v1)
Keywords: Artificial Intelligence, Big Data, Edge Intelligence, Energy Efficiency, Industry 40, Machine Learning
This paper introduces a prototype for constructing an edge AI system utilizing the contemporary Machine Learning Operations (MLOps) concept. By employing microcontrollers such as the Raspberry Pi as hardware, our methodology includes data scrubbing and machine learning model deployment on edge devices. Crucially, the MLOps pipeline is fully developed within the ecoKI platform, a research platform for ML/AI applications. In this study, we thoroughly investigate the performance of our ecoKI platform by comparing it with the established Edge Impulse platform. We deployed the ML model with different weight quantization methods, such as FP32 and INT8, to compare accuracy variations and inference speed between these two platforms and quantization strategies on edge devices. In our experiments, we identified that the average accuracy performance of the ecoKI platform is 3.61% better than the edge impulse. Moreover, real-time AI processing on edge devices enables microcontrollers, even those w... [more]
A Novel Approach to Gradient Evaluation and Efficient Deep Learning: A Hybrid Method
Bogdan Dorneanu, Vasileios K. Mappas, Harvey Arellano-Garcia
June 27, 2025 (v1)
Deep learning faces significant challenges in efficiently training large-scale models. These issues are closely linked, as efficient training often depends on precise and computationally feasible gradient calculations. This work introduces innovative methodologies to improve deep learning network (DLN) training in complex systems. A novel approach to DLN training is proposed by adapting the block coordinate descent (BCD) method, which optimizes individual layers sequentially. This is combined with traditional batch-based training to create a hybrid method that harnesses the strengths of both techniques. Additionally, the study explores Iterated Control Random Search (ICRS) for initializing parameters and applies quasi-Newton methods like L-BFGS with restricted iterations to enhance optimization. By tackling DLN training efficiency, this contribution offers a comprehensive framework to address key challenges in modern machine learning. The proposed methods improve scalability and effect... [more]
Streamlining Catalyst Development through Machine Learning: Insights from Heterogeneous Catalysis and Photocatalysis
Parisa Shafiee, Mitra Jafari, Julia Schowarte, Bogdan Dorneanu, Harvey Arellano-Garcia
June 27, 2025 (v1)
Subject: Materials
Catalysis design and reaction condition optimization are considered the heart of many chemical and petrochemical processes and industries; however, there are still significant challenges in these fields. Advances in machine learning (ML) have provided researchers with new tools to address some of these obstacles, offering the ability to predict catalyst behaviour, optimal reaction conditions, and product distributions without the need for extensive laboratory experimentation. In this contribution, the potential applications of ML in heterogeneous catalysis and photocatalysis are explored by analysing datasets from different reactions, including Fischer-Tropsch synthesis and photocatalytic pollutant degradation. First, datasets were collected from literature. After cleaning and preparing the datasets, they were employed to train and test several models. The best model for each dataset was selected and applied for optimization.
Data-Driven Soft Sensors for Process Industries: Case Study on a Delayed Coker Unit
Wei Sun, James G. Brigman, Cheng Ji, Pratap Nair, Fangyuan Ma, Jingde Wang
June 27, 2025 (v1)
Keywords: feature extraction, feature selection, quality prediction
This research addresses the challenges associated with data-driven soft sensors in industrial applications, where successful implementations remain limited. The scarcity of practical applications can be attributed to variable operating conditions and frequent disturbances in real-time processes. Industrial data are often nonlinear, dynamic, and highly unbalanced, complicating efforts to capture the essential characteristics of underlying processes. To tackle these issues, we propose a comprehensive solution for industrial application, that encompasses feature selection, feature extraction, and model updating. Feature selection aims to pinpoint the independent variables that have a substantial impact on key performance indicators, including quality, safety, efficiency, reliability, and sustainability. By doing so, it simplifies the model and boosts its predictive accuracy. The process begins with screening variables based on process knowledge, followed by a thorough analysis of correlat... [more]
ML-based adsorption isotherm prediction of metal-organic frameworks for carbon dioxide and methane separation adsorbent screening
Dongin Jung, Hyeon Yang, Donggeun Kang, Donghyeon Kim, Siuk Roh, Jiyong Kim
June 27, 2025 (v1)
The efficient separation of carbon dioxide (CO2) and methane (CH4) is crucial for chemical processes, including biogas upgrading and natural gas purification. Metal-organic frameworks (MOFs) have gained significant attention as promising adsorbents for these processes due to their high porosity and tunable structures. Estimating the adsorption capacity of MOFs is essential for screening high performing adsorbents. While molecular simulations are commonly used to estimate the adsorption capacities, their computational intensity acts as a bottleneck in screening MOF adsorbents. In this study, we propose a machine learning (ML)-based framework for the high-throughput prediction of adsorption isotherms for CO2 and CH4 in MOFs. A graph neural network (GNN) model was developed to predict adsorption capacities, effectively replacing the time-consuming molecular simulations. The GNN model processes the structural graphs of MOFs, capturing their spatial configurations, such as surface structure... [more]
CompArt: Next-Generation Compartmental Models for Complex Systems Powered by Artificial Intelligence
Antonello Raponi, Zoltan Nagy
June 27, 2025 (v1)
Compartmental models are widely used to simplify the analysis of complex fluid dynamics systems, yet subjective compartment definitions and computational constraints often limit their applicability. The CompArt algorithm introduces an AI-driven framework that automates compartmentalization in Computational Fluid Dynamics (CFD) simulations, optimizing both accuracy and efficiency. By leveraging unsupervised clustering techniques such as Agglomerative Clustering, CompArt identifies coherent flow regions based on velocity and turbulent kinetic energy dissipation rate, ensuring a data-driven, physically consistent segmentation. The methodology integrates a connectivity-based clustering strategy, where compartments are dynamically optimized using the Silhouette score and adjacency matrix. This approach enables the reduction of high-resolution 3D CFD simulations into a network of interconnected sub-systems, significantly lowering computational costs while preserving system heterogeneity. The... [more]
Towards Self-Tuning PID Controllers: A Data-Driven, Reinforcement Learning Approach for Industrial Automation
Kyle Territo, Peter Vallet, Jose Romagnoli
June 27, 2025 (v1)
Keywords: Industry 40, Intelligent Systems, Machine Learning, Process Control, Surrogate Model
As industries embrace the digitalization of Industry 4.0, the abundance of process data creates new opportunities to optimize industrial control systems. Traditional Proportional-Integral-Derivative (PID) controllers often require manual tuning to address changing conditions. This paper introduces an automated, adaptive PID tuning method using historical data and machine learning for a continuously evolving, data-driven approach. The method centers on training a surrogate model using historical process data to replicate real system behavior under various conditions. This enables safe exploration of control strategies without disrupting live operations. An RL (Reinforcement Learning) agent interacts with the surrogate model to learn optimal control policies, dynamically responding to the plant's state, defined by variables like operational conditions and measured disturbances. The agent adjusts PID parameters in real-time, optimizing metrics such as stability, response time, and energy... [more]
Selection of Fitness Criteria for Learning Interpretable PDE Solutions via Symbolic Regression
Benjamin G. Cohen, Burcu Beykal, George M. Bollas
June 27, 2025 (v1)
Physics-Informed Symbolic Regression (PISR) offers a pathway to discover human-interpretable solutions to partial differential equations (PDEs). This work investigates three fitness metrics within a PISR framework: PDE fitness, Bayesian Information Criterion (BIC), and a fitness metric proportional to the probability of a model given the data. Through experiments with Laplace’s equation, Burgers’ equation, and a nonlinear wave equation, we demonstrate that incorporating information theoretic criteria like BIC can yield higher fidelity models while maintaining interpretability. Our results show that BIC-based PISR achieved the best performance, identifying an exact solution to Laplace’s equation and finding solutions with R2-values of 0.998 for Burgers’ equation and 0.957 for the nonlinear wave equation. The inclusion of the Bayes D-optimality criterion in estimating model probability strongly constrained solution complexity, limiting models to 3-4 parameters and reducing accuracy. Thes... [more]
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