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Data driven prediction of hydrochar yields from biomass hydrothermal carbonization using extreme gradient boosting algorithm with principal component analysis 基于主成分分析的极端梯度增强算法的生物质热液碳化产率数据驱动预测
IF 4.1 Q2 ENGINEERING, CHEMICAL Pub Date : 2025-12-08 DOI: 10.1016/j.dche.2025.100283
Tossapon Katongtung , Nattawut Khuenkaeo , Yuttana Mona , Pana Suttakul , James C. Moran , Korrakot Y. Tippayawong , Nakorn Tippayawong
Dimensionality reduction plays a critical role in efficiently managing large and complex datasets in machine learning (ML) applications. This study presents an innovative integration of principal component analysis (PCA) and extreme gradient boosting (XGB) to model the hydrothermal carbonization (HTC) process. PCA effectively reduced the feature space from 18 to 9 principal components with minimal impact on model accuracy (R² decreased slightly from 0.8900 to 0.8480), significantly simplifying the model complexity. To enhance interpretability, one- and two-dimensional partial dependence plots (PDP) were employed, revealing key features and their interactions influencing HTC outcomes. This combined approach not only improves predictive performance but also provides meaningful insights into the underlying process variables, addressing common challenges of ML opacity. While the model demonstrates strong predictive capability, further experimental validation and extension to diverse biomass types are recommended to confirm practical applicability and enhance versatility. The proposed methodology offers a robust, interpretable, and computationally efficient framework for optimizing HTC and can guide future research involving high-dimensional datasets.
在机器学习(ML)应用中,降维在有效管理大型复杂数据集方面起着至关重要的作用。本文提出了一种创新的主成分分析(PCA)和极端梯度增强(XGB)相结合的热液碳化(HTC)过程模型。PCA有效地将特征空间从18个主成分减少到9个主成分,对模型精度的影响最小(R²从0.8900略微下降到0.8480),显著简化了模型复杂度。为了提高可解释性,采用了一维和二维部分依赖图(PDP),揭示了影响HTC结果的关键特征及其相互作用。这种组合方法不仅提高了预测性能,而且还提供了对潜在过程变量的有意义的见解,解决了机器学习不透明的常见挑战。虽然该模型具有较强的预测能力,但建议进一步对不同生物量类型进行实验验证和推广,以确认实际适用性并增强通用性。所提出的方法为优化HTC提供了一个强大的、可解释的、计算效率高的框架,可以指导未来涉及高维数据集的研究。
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引用次数: 0
Early-stage chemical process screening through hybrid modeling: Introduction and case study of a reaction–crystallization process 通过混合模型筛选早期化学过程:反应结晶过程的介绍和案例研究
IF 4.1 Q2 ENGINEERING, CHEMICAL Pub Date : 2025-12-06 DOI: 10.1016/j.dche.2025.100280
Diana Wiederschitz , Edith-Alice Kovacs , Botond Szilagyi
Late-stage development of complex chemical processes presents significant challenges due to the high dimensionality and interactions of operating parameters. This complexity renders traditional factorial experimental designs impractical. Consequently, there is often a default reliance on suboptimal legacy technologies, which can lead to reduced overall performance and a larger environmental footprint. This work introduces a novel integrated methodology for combined process and product attribute screening specifically designed to overcome these limitations. The approach strategically integrates expert knowledge, high-fidelity first-principle modeling, and data mining techniques to accelerate the generation of critical process understanding. This supports the confident adoption of sustainable high-performance manufacturing routes. The sequential framework begins with expert knowledge to define promising technological pathways, which are then modeled using first-principle approaches, potentially enhanced by contemporary Artificial Intelligence (AI) techniques. Afterward, extensive parametric optimizations are performed, generating rich synthetic datasets. These data are then subjected to data mining algorithms for pattern recognition, identification of different clusters of the operational regime, and estimation of key product properties. The effectiveness of this methodology is demonstrated through a challenging case study that focuses on the crystallization of conglomerates, which combines deracemization and particle formation, steps traditionally performed sequentially with associated inefficiencies. Our analysis reveals that optimal operations form 12 distinct clusters within which the expected product properties can vary considerably. A key finding is that incorporating data from a strategically designed preliminary experiment enables the exclusion of difficult-to-measure material-specific parameters and enhances the cluster classification and product property estimation.
由于操作参数的高维性和相互作用,复杂化学过程的后期开发提出了重大挑战。这种复杂性使得传统的析因实验设计不切实际。因此,通常默认依赖于次优遗留技术,这可能导致整体性能下降和更大的环境足迹。这项工作介绍了一种新的集成方法,用于组合过程和产品属性筛选,专门用于克服这些限制。该方法战略性地集成了专家知识、高保真第一原理建模和数据挖掘技术,以加速关键过程理解的生成。这支持了可持续高性能制造路线的自信采用。顺序框架从专家知识开始,定义有前途的技术途径,然后使用第一性原理方法对其进行建模,并可能通过当代人工智能(AI)技术进行增强。之后,执行广泛的参数优化,生成丰富的合成数据集。然后将这些数据置于数据挖掘算法中进行模式识别、识别操作体系的不同集群以及估计关键产品属性。通过一个具有挑战性的案例研究,该方法的有效性得到了证明,该研究集中在砾岩的结晶上,该结晶结合了去离子化和颗粒形成,这些步骤传统上是顺序进行的,效率低下。我们的分析表明,最佳操作形成12个不同的集群,其中预期的产品属性可以有很大的不同。一个关键的发现是,从战略性设计的初步实验中纳入数据,可以排除难以测量的材料特定参数,并增强聚类分类和产品属性估计。
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引用次数: 0
Control mode switching for guaranteed detection of false data injection attacks on process control systems 控制模式切换,保证检测过程控制系统的虚假数据注入攻击
IF 4.1 Q2 ENGINEERING, CHEMICAL Pub Date : 2025-12-03 DOI: 10.1016/j.dche.2025.100279
Shilpa Narasimhan , Nael H. El-Farra , Matthew J. Ellis
Control-enabled cyberattack detection approaches are necessary for enhancing the cybersecurity of process control systems (PCSs), as evidenced by recent successful cyberattacks against these systems. One type of cyberattack is false data injection attacks (FDIAs), which manipulate data over sensor-controller and/or controller–actuator communication links. This work presents an active detection strategy based on control mode switching, where the control parameters and/or the set-point are adjusted to induce perturbations that reveal stealthy FDIAs which would otherwise go undetected. To guarantee attack detection, the perturbations introduced by the detection method must be “attack-revealing”, a concept formally defined using reachability analysis in this work. Building on this foundation and considering a specific class of FDIAs, a screening algorithm is developed for selecting control modes that guarantee attack-revealing perturbations in the presence of an attack. A theoretical result is established, identifying control modes incapable of guaranteeing attack detection for a subset of these attacks—specifically, non-bias adding attacks, which do not cause a steady-state offset. This result simplifies the screening process by reducing the candidate control mode set and ensuring that only effective control modes are considered. The applicability of the screening algorithm is demonstrated for several FDIAs, including: (1) multiplicative attacks, (2) non-bias adding multiplicative attacks, and (3) replay attacks, where historic process data is injected into communication channels. The simulation results on an illustrative process validate the effectiveness of the modified screening algorithm and the active detection method in detecting non-biased additive and multiplicative replay attacks.
支持控制的网络攻击检测方法对于增强过程控制系统(pcs)的网络安全是必要的,最近针对这些系统的成功网络攻击证明了这一点。一种类型的网络攻击是虚假数据注入攻击(FDIAs),它通过传感器-控制器和/或控制器-执行器通信链路操纵数据。这项工作提出了一种基于控制模式切换的主动检测策略,其中控制参数和/或设定点被调整以诱导扰动,从而揭示隐形的fdia,否则这些fdia将无法被检测到。为了保证攻击检测,检测方法引入的扰动必须是“攻击揭示”的,这是一个使用可达性分析在本工作中正式定义的概念。在此基础上,考虑到一类特定的fdi,开发了一种筛选算法,用于选择控制模式,以保证在存在攻击时显示攻击的扰动。建立了一个理论结果,确定了无法保证这些攻击子集的攻击检测的控制模式-特别是无偏差添加攻击,不会引起稳态偏移。该结果通过减少候选控制模式集并确保只考虑有效的控制模式来简化筛选过程。筛选算法的适用性证明了几种fdia,包括:(1)乘法攻击,(2)无偏差加法乘法攻击,以及(3)重放攻击,其中历史过程数据被注入通信通道。仿真结果验证了改进的筛选算法和主动检测方法在检测无偏加性和乘性重放攻击方面的有效性。
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引用次数: 0
Utilizing reinforcement learning in feedback control of nonlinear processes with stability guarantees 将强化学习应用于具有稳定性保证的非线性过程反馈控制
IF 4.1 Q2 ENGINEERING, CHEMICAL Pub Date : 2025-12-01 DOI: 10.1016/j.dche.2025.100277
Arthur Khodaverdian , Xiaodong Cui , Panagiotis D. Christofides
This work explores the implementation of reinforcement learning (RL)-based approaches to replace model predictive control (MPC) in cases where practical implementations of MPC are infeasible due to excessive computation times. Specifically, with the use of externally enforced stability guarantees, an RL-based controller that is trained to optimize the same cost function as the MPC with a long horizon that achieves the desirable closed-loop performance can serve as a potentially more appealing real-time option as opposed to using the same MPC with a shorter horizon. A benchmark nonlinear chemical process model is used to demonstrate the feasibility of this RL-based framework that simultaneously guarantees stability and enables improvements in computational efficiency and potential control quality of the closed-loop system. To explore the influence of the RL training method, two RL algorithms are explored, with one imitation learning method used as a reference.
这项工作探讨了基于强化学习(RL)的方法的实现,以取代模型预测控制(MPC),在MPC的实际实现由于计算时间过多而不可行的情况下。具体来说,通过使用外部强制稳定性保证,基于rl的控制器经过训练,可以优化与MPC相同的成本函数,并具有较长的视界,从而实现理想的闭环性能,与使用相同的MPC具有较短的视界相比,这可能是一种更具吸引力的实时选择。一个基准的非线性化学过程模型被用来证明这个基于rl的框架的可行性,同时保证了稳定性,提高了闭环系统的计算效率和潜在的控制质量。为了探讨强化学习训练方法的影响,本文以一种模仿学习方法为参考,探讨了两种强化学习算法。
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引用次数: 0
HYBpy: A web-based framework for hybrid modeling of biological systems HYBpy:基于web的生物系统混合建模框架
IF 4.1 Q2 ENGINEERING, CHEMICAL Pub Date : 2025-12-01 DOI: 10.1016/j.dche.2025.100278
José Pedreira , José Pinto , Daniel Gonçalves , Pedro Barahona , Rui Oliveira , Rafael S. Costa
Hybrid modeling is gaining prominence in various industrial sectors because it offers a flexible balance between mechanistic and data-driven modeling. However, the adoption of such hybrid modeling techniques has been rather limited. Only few expert researchers using in-house tools have technical background and skills to develop such hybrid models worldwide. Additionally, freely available and user-friendly software tools for developing hybrid models in bioprocesses and biological systems are lacking.
To address these gaps, we developed HYBpy. HYBpy is a user-friendly web-based framework based on a generalized step-by-step pipeline for quick and easy generation/training of hybrid models compliant with current file formats. We demonstrated the HYBpy functionalities using two literature case studies in the biological engineering domain. HYBpy is expected to greatly facilitate the usage of hybrid modeling, making these approaches accessible for the nonexpert community.
Availability: HYBpy and two case examples can be accessed online at www.hybpy.com. Although HYBpy is offered as a web-based tool, it can also be installed locally as described in the GitHub repository instructions. The source code is hosted and publicly available on GitHub at https://github.com/joko1712/HYBpy under the GNU General Public License v3.0.
混合建模在各种工业部门中越来越突出,因为它在机械建模和数据驱动建模之间提供了灵活的平衡。然而,这种混合建模技术的采用相当有限。只有少数使用内部工具的专家研究人员拥有技术背景和技能,可以在全球范围内开发这种混合模型。此外,缺乏用于开发生物过程和生物系统中混合模型的免费和用户友好的软件工具。为了解决这些差距,我们开发了HYBpy。HYBpy是一个用户友好的基于web的框架,它基于一个通用的分步管道,可以快速、轻松地生成/训练符合当前文件格式的混合模型。我们使用生物工程领域的两个文献案例研究演示了HYBpy的功能。HYBpy有望极大地促进混合建模的使用,使非专业社区也可以使用这些方法。可用性:HYBpy和两个案例可以在www.hybpy.com上在线访问。虽然HYBpy是作为一个基于web的工具提供的,但它也可以像GitHub存储库说明中描述的那样在本地安装。源代码在GNU通用公共许可证v3.0下托管并在GitHub上(https://github.com/joko1712/HYBpy)公开提供。
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引用次数: 0
MIDDoE: An MBDoE Python package for model identification, discrimination, and calibration MIDDoE:用于模型识别、鉴别和校准的MBDoE Python包
IF 4.1 Q2 ENGINEERING, CHEMICAL Pub Date : 2025-12-01 DOI: 10.1016/j.dche.2025.100276
Z. Tabrizi , E. Barbera , W.R. Leal da Silva , F. Bezzo
Mathematical modelling plays a critical role in the design, optimisation, and control of dynamic systems in the process industry. While mechanistic models offer strong explanatory and predictive power, their effectiveness depends on informed model selection and precise parameter calibration. Model-based design of experiments (MBDoE) provides a framework for addressing these challenges by designing experiments that accelerate model discrimination and parameter precision tasks. However, its practical application is frequently constrained by fragmented digital tools that lack integration and make MBDoE implementation a task for expert users. To address that – thus supporting the widespread use of MBDoE – MIDDoE, a modular and user-friendly Python-based framework centred on MBDoE is introduced. MIDDoE supports both model discrimination and parameter precision design strategies, incorporating physical constraints and non-convex design spaces. To provide a comprehensive MBDoE digital tool, the framework integrates numerical techniques such as Global Sensitivity Analysis, Estimability Analysis, parameter estimation, uncertainty analysis, and model validation. Its architecture decouples simulation from analysis, enabling compatibility with both built-in and external simulators, which allows MIDDoE to be applied across different systems. MIDDoE practical application is demonstrated through two case studies in bioprocess and pharmaceutical systems for model discrimination and parameter precision tasks.
数学建模在过程工业中动态系统的设计、优化和控制中起着至关重要的作用。虽然机制模型提供了强大的解释和预测能力,但其有效性取决于知情的模型选择和精确的参数校准。基于模型的实验设计(MBDoE)通过设计加速模型识别和参数精确任务的实验,为解决这些挑战提供了一个框架。然而,它的实际应用经常受到碎片化的数字工具的限制,这些工具缺乏集成,使得MBDoE的实施成为专家用户的任务。为了解决这个问题——从而支持MBDoE的广泛使用——MIDDoE,介绍了一个以MBDoE为中心的模块化和用户友好的基于python的框架。MIDDoE支持模型判别和参数精度设计策略,结合了物理约束和非凸设计空间。为了提供一个全面的MBDoE数字工具,该框架集成了数值技术,如全局敏感性分析、可估计性分析、参数估计、不确定性分析和模型验证。它的体系结构将仿真与分析分离,支持与内置和外部模拟器的兼容性,这使得MIDDoE可以跨不同的系统应用。MIDDoE的实际应用是通过两个案例研究在生物过程和制药系统的模型判别和参数精确任务演示。
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引用次数: 0
Automated flow pattern classification in multiphase systems using artificial intelligence and capacitance sensing techniques 基于人工智能和电容传感技术的多相系统流型自动分类
IF 4.1 Q2 ENGINEERING, CHEMICAL Pub Date : 2025-11-10 DOI: 10.1016/j.dche.2025.100274
Nian Ran , Fayez M. Al-Alweet , Richard Allmendinger , Ahmad Almakhlafi
Accurate classification of flow patterns in multiphase systems is pivotal for optimizing fluid transport and enhancing overall system performance. Conventional methods—such as visual inspection, standard video analysis, and high-speed imaging—remain widely used in industrial and laboratory settings. However, these approaches are often constrained by subjective interpretation, limited applicability to non-transparent pipelines, and inconsistent performance under varying operating conditions. To overcome these limitations, this study introduces a novel framework that integrates capacitance sensing with Artificial Intelligence (AI)-driven classification. The proposed methodology employs a one-dimensional Squeeze-and-Excitation Network (1D SENet) to extract and interpret time-series features from raw capacitance signals. Experimental validation demonstrates robust classification accuracies, achieving over 85 % on in-distribution datasets and 71 % on out-of-distribution scenarios—substantially outperforming traditional techniques. These findings underscore the enhanced generalization and reliability of the proposed system. This work establishes a scalable foundation for real-time flow regime monitoring and predictive analytics, offering transformative potential for intelligent fluid management in complex industrial environments.
多相系统中流型的准确分类是优化流体输送和提高系统整体性能的关键。传统的方法,如目视检查、标准视频分析和高速成像,仍然广泛应用于工业和实验室环境。然而,这些方法往往受到主观解释的限制,对非透明管道的适用性有限,并且在不同的操作条件下性能不一致。为了克服这些限制,本研究引入了一种将电容传感与人工智能(AI)驱动的分类相结合的新框架。所提出的方法采用一维挤压激励网络(1D SENet)从原始电容信号中提取和解释时间序列特征。实验验证证明了强大的分类准确性,在分布内数据集上达到85%以上,在分布外场景上达到71% -大大优于传统技术。这些发现强调了所提出的系统的增强泛化和可靠性。这项工作为实时流态监测和预测分析奠定了可扩展的基础,为复杂工业环境中的智能流体管理提供了变革性的潜力。
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引用次数: 0
Predicting the viscosity of hydrogen – methane blends at high pressure for hydrogen transportation and geo-storage: Integration of robust white-box machine learning frameworks 预测氢-甲烷混合物在高压下用于氢气运输和地质储存的粘度:强大的白盒机器学习框架的集成
IF 4.1 Q2 ENGINEERING, CHEMICAL Pub Date : 2025-10-30 DOI: 10.1016/j.dche.2025.100273
Saad Alatefi , Mohamed Riad Youcefi , Menad Nait Amar , Hakim Djema
The integration of hydrogen into underground storage systems is pivotal for large-scale energy management, often involving blends with methane to leverage existing infrastructure. Accurate viscosity prediction of hydrogen – methane blends under subsurface conditions is essential for optimizing flow assurance and operational safety. Accordingly, this study employs three data-driven models, namely Genetic Expression Programming (GEP), Group Method of Data Handling (GMDH), and Multi-Gene Genetic Programming (MGGP), to predict the viscosity of hydrogen – methane mixtures for transportation and underground storage applications. A comprehensive dataset of 313 experimentally measured values from the literature were utilized to develop and validate the established correlations. The MGGP paradigm emerged as the top performer, achieving a root mean square error (RMSE) of 0.4054 and an R2 value of 0.9940, outperforming both GEP and GMDH, as well as prior predictive models. The consistency of the dataset was confirmed using the Leverage approach, ensuring robust predictions. In addition, the Shapley Additive Explanations technique revealed key factors influencing the viscosity predictions, enhancing the interpretability of the best-performing correlation. Furthermore, comparative trend analysis demonstrated the MGGP correlation's superior accuracy and robustness across varying blend compositions and operational conditions. These findings offer a reliable and simple-to-use predictive correlation for engineers and researchers designing hydrogen transport and storage systems, supporting efficient energy storage and the transition to a low-carbon economy.
将氢气整合到地下储存系统中是大规模能源管理的关键,通常涉及与甲烷的混合物,以利用现有的基础设施。准确预测地下条件下氢-甲烷混合物的粘度对优化流动保障和操作安全至关重要。因此,本研究采用遗传表达式规划(GEP)、数据处理分组方法(GMDH)和多基因遗传规划(MGGP)三种数据驱动模型,对运输和地下储存应用的氢-甲烷混合物粘度进行预测。利用文献中313个实验测量值的综合数据集来开发和验证已建立的相关性。MGGP范式表现最佳,其均方根误差(RMSE)为0.4054,R2值为0.9940,优于GEP和GMDH以及先前的预测模型。使用杠杆方法确认了数据集的一致性,确保了稳健的预测。此外,Shapley加性解释技术揭示了影响粘度预测的关键因素,提高了最佳相关性的可解释性。此外,对比趋势分析表明,MGGP相关性在不同混合成分和操作条件下具有较好的准确性和鲁棒性。这些发现为设计氢运输和储存系统的工程师和研究人员提供了可靠且易于使用的预测相关性,支持高效的能源储存和向低碳经济的过渡。
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引用次数: 0
Optimization-based framework for kernel parameter identification in multi-material population balance models 基于优化的多物质种群平衡模型核参数辨识框架
IF 4.1 Q2 ENGINEERING, CHEMICAL Pub Date : 2025-10-27 DOI: 10.1016/j.dche.2025.100272
Haoran Ji, Lena Fuhrmann, Juan Fernando Meza Gonzalez, Frank Rhein
This study presents a robust, parallelized optimization framework for kernel parameter identification that is adaptable to any population balance equation (PBE) formulation and process type. The framework addresses the challenge of incomplete 2D particle size distribution (PSD) measurements in multi-material systems by combining a reduced 2D PSD with complementary 1D datasets. The framework was validated by using noisy synthetic PSD data and evaluating both the error in PSD and kernel values across eight kernel parameters. Hyperparameter and sensitivity analyses provided configuration recommendations and insights into the influence of individual parameters, thus guiding kernel model selection. Incorporating prior knowledge of one kernel parameter (e.g., through multi-scale simulations) mitigated non-unique solutions and enhanced noise tolerance, ultimately improving the framework’s robustness and reliability. A case study based on experimental data from a dispersion process demonstrated the framework’s flexibility and practical relevance.
本研究提出了一个鲁棒的、并行化的核参数识别优化框架,该框架适用于任何种群平衡方程(PBE)公式和过程类型。该框架通过将简化的2D粒径分布与互补的1D数据集相结合,解决了多材料系统中不完整的2D粒径分布(PSD)测量的挑战。利用有噪声的合成PSD数据,对该框架进行了验证,并评估了8个核参数的PSD误差和核值。超参数和敏感性分析提供了配置建议,并深入了解了单个参数的影响,从而指导了核模型的选择。结合一个核参数的先验知识(例如,通过多尺度模拟)减轻了非唯一解并增强了噪声容忍度,最终提高了框架的鲁棒性和可靠性。一个基于分散过程实验数据的案例研究证明了该框架的灵活性和实际相关性。
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引用次数: 0
Data fusion of spectroscopic data for enhancing machine learning model performance 用于增强机器学习模型性能的光谱数据融合
IF 4.1 Q2 ENGINEERING, CHEMICAL Pub Date : 2025-10-24 DOI: 10.1016/j.dche.2025.100271
Pál Péter Hanzelik , Szilveszter Gergely , János Abonyi , Alex Kummer
Developing accurate industrial prediction models for complex industrial and geological applications remains a significant challenge, particularly when relying on limited and disparate spectroscopic data. Traditional data fusion methods often fall short in effectively integrating complementary information across different spectral sources, limiting predictive performance. Complex-level ensemble fusion (CLF) is presented as a two-layer chemometric algorithm that jointly selects variables from concatenated mid-infrared (MIR) and Raman spectra with a genetic algorithm, projects them with partial least squares and stacks the latent variables into an XGBoost regressor, thereby capturing feature- and model-level complementarities in a single workflow. When benchmarked against single-source models and classical low-, mid-, and high-level data-fusion schemes, the CLF technique consistently demonstrated significantly improved predictive accuracy. Evaluated on paired Mid-Infrared (MIR) and Raman datasets from industrial lubricant additives and RRUFF minerals, CLF robustly outperformed established methodologies by effectively leveraging complementary spectral information. Mid-level fusion yielded no improvement, underscoring the need for supervised integration. These results constitute the first evidence that a stacked, complex-level scheme can surpass all established fusion levels on real-world spectroscopic regressions comprising fewer than one hundred samples and provide a transferable recipe for building more accurate and resilient soft sensors in quality-control and geochemical applications.
为复杂的工业和地质应用开发准确的工业预测模型仍然是一个重大挑战,特别是当依赖于有限和不同的光谱数据时。传统的数据融合方法往往无法有效地整合不同光谱源的互补信息,从而限制了预测性能。复杂级集成融合(CLF)是一种两层化学测量算法,该算法通过遗传算法从连接的中红外(MIR)和拉曼光谱中选择变量,用偏最小二乘法对其进行投影,并将潜在变量叠加到XGBoost回归量中,从而在单个工作流程中捕获特征级和模型级的互补。当针对单源模型和经典的低、中、高级数据融合方案进行基准测试时,CLF技术始终显示出显著提高的预测准确性。通过对来自工业润滑油添加剂和RRUFF矿物的配对中红外(MIR)和拉曼数据集进行评估,CLF通过有效利用互补光谱信息,大大优于现有方法。中等程度的融合没有改善,强调了监督整合的必要性。这些结果首次证明,在包含少于100个样品的真实光谱回归中,堆叠的复杂水平方案可以超越所有已建立的融合水平,并为在质量控制和地球化学应用中构建更精确、更有弹性的软传感器提供了可转移的配方。
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引用次数: 0
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Digital Chemical Engineering
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