Multilayer perceptron

多层感知器
  • 文章类型: Journal Article
    提出了一种使用卷积神经网络(CNN)作为构建块来检测全球导航卫星信号(GNSS)信号中多径效应的存在的技术。网络经过训练和验证,对于广泛的C/N0值,具有由与不同多普勒频率和代码延迟(时域数据集)相关联的相关器的2D网格的合成噪声输出构成的现实数据集。多径干扰信号的生成与所采用的多径模型所包含的各种场景一致。已经发现,利用二维离散傅里叶变换(频域数据集)预处理相关器网格的输出使得CNN能够相对于时域数据集提高准确度。根据CNN输出的类型,然后可以设计两种策略来求解导航方程:从方程中删除干扰信号(硬决策)或使用加权最小二乘算法处理伪距,其中使用神经网络的模拟输出计算加权矩阵的条目(软决策)。
    A technique is proposed to detect the presence of the multipath effect in Global Navigation Satellite Signal (GNSS) signals using a convolutional neural network (CNN) as the building block. The network is trained and validated, for a wide range of C/N0 values, with a realistic dataset constituted by the synthetic noisy outputs of a 2D grid of correlators associated with different Doppler frequencies and code delays (time-domain dataset). Multipath-disturbed signals are generated in agreement with the various scenarios encompassed by the adopted multipath model. It was found that pre-processing the outputs of the correlators grid with the two-dimensional Discrete Fourier Transform (frequency-domain dataset) enables the CNN to improve the accuracy relative to the time-domain dataset. Depending on the kind of CNN outputs, two strategies can then be devised to solve the equation of navigation: either remove the disturbed signal from the equation (hard decision) or process the pseudoranges with a weighted least-squares algorithm, where the entries of the weighting matrix are computed using the analog outputs of the neural network (soft decision).
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  • 文章类型: Journal Article
    (1)背景:本研究旨在调查运动和恢复期心率变异性(HRV)与大学生焦虑和抑郁水平之间的相关性。此外,该研究评估了基于多层感知器的HRV分析预测这些情绪状态的准确性.(2)方法:845名健康大学生,年龄在18至22岁之间,参与了这项研究。参与者完成了焦虑和抑郁自评量表(SAS和PHQ-9)。在运动期间和运动后5分钟内收集HRV数据。多层感知器神经网络模型,其中包括几个具有相同配置的分支,用于数据处理。(3)结果:通过5倍交叉验证方法,HRV预测焦虑水平的平均准确率为89.3%,83.6%为轻度焦虑,中度至重度焦虑为74.9%。对于抑郁水平,没有抑郁的平均准确率为90.1%,84.2%为轻度抑郁症,中度至重度抑郁症为82.1%。焦虑和抑郁评分的R平方预测值分别为0.62和0.41。(4)结论:研究表明,大学生运动和恢复过程中的HRV能有效预测焦虑和抑郁水平。然而,分数预测的准确性需要进一步提高。与运动相关的HRV可以作为评估心理健康的非侵入性生物标志物。
    (1) Background: This study aims to investigate the correlation between heart rate variability (HRV) during exercise and recovery periods and the levels of anxiety and depression among college students. Additionally, the study assesses the accuracy of a multilayer perceptron-based HRV analysis in predicting these emotional states. (2) Methods: A total of 845 healthy college students, aged between 18 and 22, participated in the study. Participants completed self-assessment scales for anxiety and depression (SAS and PHQ-9). HRV data were collected during exercise and for a 5-min period post-exercise. The multilayer perceptron neural network model, which included several branches with identical configurations, was employed for data processing. (3) Results: Through a 5-fold cross-validation approach, the average accuracy of HRV in predicting anxiety levels was 89.3% for no anxiety, 83.6% for mild anxiety, and 74.9% for moderate to severe anxiety. For depression levels, the average accuracy was 90.1% for no depression, 84.2% for mild depression, and 82.1% for moderate to severe depression. The predictive R-squared values for anxiety and depression scores were 0.62 and 0.41, respectively. (4) Conclusions: The study demonstrated that HRV during exercise and recovery in college students can effectively predict levels of anxiety and depression. However, the accuracy of score prediction requires further improvement. HRV related to exercise can serve as a non-invasive biomarker for assessing psychological health.
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  • 文章类型: Journal Article
    目的:开发并验证一种影像组学模型,用于在实施治疗前预测隐匿性局部晚期食管鳞状细胞癌(LA-ESCC)的计算机断层扫描(CT)影像特征。
    方法:该研究回顾性收集了来自两个医疗中心的574例食管鳞状细胞癌(ESCC)患者,分为三组进行培训,内部和外部验证。在描绘感兴趣的体积(VOI)之后,使用三种稳健方法提取影像组学特征并进行特征选择。随后,构建了10个机器学习模型,其中,利用最佳模型建立了影像组学签名。此外,我们开发了一个结合了临床和影像组学特征的预测性列线图.通过接收器工作特性曲线评估了这些模型的性能,校正曲线,决策曲线分析以及包括准确性在内的措施,灵敏度,和特异性。
    结果:总共选择了19个影像组学特征。多层感知器(MLP),被发现是最优的,在训练中达到0.919、0.864和0.882的AUC,内部和外部验证队列,分别。同样,MLP在区分cT1-2N0M0亚组中隐匿性LA-ESCC方面显示出良好的准确性,在两个验证队列中分别为0.803和0.789。通过将影像组学签名与临床签名相结合,在外部验证队列中,预测列线图显示出优异的预测性能,AUC为0.877,准确度为0.85.
    结论:影像组学和机器学习模型可以提高隐匿性LA-ESCC预测的准确性,为临床医生选择治疗方案提供有价值的帮助。
    OBJECTIVE: Development and validation of a radiomics model for predicting occult locally advanced esophageal squamous cell carcinoma (LA-ESCC) on computed tomography (CT) radiomic features before implementation of treatment.
    METHODS: The study retrospectively collected 574 patients with esophageal squamous cell carcinoma (ESCC) from two medical centers, which were divided into three cohorts for training, internal and external validation. After delineating volume of interest (VOI), radiomics features were extracted and subjected to feature selection using three robust methods. Subsequently, 10 machine learning models were constructed, among which the optimal model was utilized to establish a radiomics signature. Furthermore, a predictive nomogram incorporating both clinical and radiomics signatures was developed. The performance of these models was evaluated through receiver operating characteristic curves, calibration curves, decision curve analysis as well as measures including accuracy, sensitivity, and specificity.
    RESULTS: A total of 19 radiomics features were selected. The multilayer perceptron (MLP), which was found to be optimal, achieved an AUC of 0.919, 0.864 and 0.882 in the training, internal and external validation cohorts, respectively. Similarly, MLP showed good accuracy in distinguish occult LA-ESCC in subgroup of cT1-2N0M0 diagnosed by clinicians with 0.803 and 0.789 in two validation cohorts respectively. By incorporating the radiomics signature with clinical signature, a predictive nomogram demonstrated superior prediction performance with an AUC of 0.877 and accuracy of 0.85 in external validation cohort.
    CONCLUSIONS: The radiomics and machine learning model can offers improved accuracy in prediction of occult LA-ESCC, providing valuable assistance to clinicians when choosing treatment plans.
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  • 文章类型: Journal Article
    药物诱导的肝损伤(DILI)对制药行业和监管机构提出了重大挑战。尽管广泛的毒理学研究旨在减轻DILI风险,这些技术在预测人类DILI方面的有效性仍然有限。因此,研究人员探索了新的方法和程序,以提高正在开发的候选药物的DILI风险预测的准确性.在这项研究中,我们利用大型人类数据集来开发用于评估DILI风险的机器学习模型。使用10倍交叉验证方法和外部测试集严格评估了这些预测模型的性能。值得注意的是,随机森林(RF)和多层感知器(MLP)模型是预测DILI最有效的模型。在交叉验证期间,RF的平均预测精度为0.631,而MLP的最高马修斯相关系数(MCC)为0.245。要从外部验证模型,我们将其应用于一组因肝毒性而在临床开发中失败的候选药物.RF和MLP在该外部验证中均准确预测了毒性候选药物。我们的研究结果表明,计算机机器学习方法有望在开发过程中识别与候选药物相关的DILI负债。
    Drug-induced liver injury (DILI) poses a significant challenge for the pharmaceutical industry and regulatory bodies. Despite extensive toxicological research aimed at mitigating DILI risk, the effectiveness of these techniques in predicting DILI in humans remains limited. Consequently, researchers have explored novel approaches and procedures to enhance the accuracy of DILI risk prediction for drug candidates under development. In this study, we leveraged a large human dataset to develop machine learning models for assessing DILI risk. The performance of these prediction models was rigorously evaluated using a 10-fold cross-validation approach and an external test set. Notably, the random forest (RF) and multilayer perceptron (MLP) models emerged as the most effective in predicting DILI. During cross-validation, RF achieved an average prediction accuracy of 0.631, while MLP achieved the highest Matthews Correlation Coefficient (MCC) of 0.245. To validate the models externally, we applied them to a set of drug candidates that had failed in clinical development due to hepatotoxicity. Both RF and MLP accurately predicted the toxic drug candidates in this external validation. Our findings suggest that in silico machine learning approaches hold promise for identifying DILI liabilities associated with drug candidates during development.
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  • 文章类型: Journal Article
    分娩前预测产后出血(PPH)对于提高患者预后至关重要。能够及时转移和实施预防性治疗。我们试图利用机器学习(ML),使用基本的产前临床数据和实验室测量来预测非复杂单胎妊娠的产后血红蛋白(Hb)。两个学术护理中心关于病人分娩的本地数据库被纳入本研究。预先存在凝血功能障碍的患者,创伤性病例,和同种异体输血被排除在所有分析之外.使用弹性网络回归和随机森林算法的特征选择评估了分娩前变量与分娩后24小时血红蛋白水平的关联。采用了一套ML算法来预测分娩后的Hb水平。2051名孕妇中,1974年被列入最终分析。经过数据预处理和冗余变量去除后,通过特征选择来预测分娩后Hb的最高预测因子是奇偶校验(B:0.09[0.05-0.12]),胎龄,分娩前血红蛋白(B:0.83[0.80-0.85])和纤维蛋白原水平(B:0.01[0.01-0.01]),和产前血小板计数(B*1000:0.77[0.30-1.23])。在经过训练的算法中,人工神经网络提供了最准确的模型(均方根误差:0.62),它随后被部署为基于Web的计算器:https://predictivecalculators。shinyapps.io/ANN-HB.当前的研究表明,ML模型可以用作PPH间接测量的准确预测因子,并且可以很容易地纳入医疗保健系统。对基于异质群体的样本的进一步研究可能会进一步提高这些模型的泛化性。
    Predicting postpartum hemorrhage (PPH) before delivery is crucial for enhancing patient outcomes, enabling timely transfer and implementation of prophylactic therapies. We attempted to utilize machine learning (ML) using basic pre-labor clinical data and laboratory measurements to predict postpartum Hemoglobin (Hb) in non-complicated singleton pregnancies. The local databases of two academic care centers on patient delivery were incorporated into the current study. Patients with preexisting coagulopathy, traumatic cases, and allogenic blood transfusion were excluded from all analyses. The association of pre-delivery variables with 24-h post-delivery hemoglobin level was evaluated using feature selection with Elastic Net regression and Random Forest algorithms. A suite of ML algorithms was employed to predict post-delivery Hb levels. Out of 2051 pregnant women, 1974 were included in the final analysis. After data pre-processing and redundant variable removal, the top predictors selected via feature selection for predicting post-delivery Hb were parity (B: 0.09 [0.05-0.12]), gestational age, pre-delivery hemoglobin (B:0.83 [0.80-0.85]) and fibrinogen levels (B:0.01 [0.01-0.01]), and pre-labor platelet count (B*1000: 0.77 [0.30-1.23]). Among the trained algorithms, artificial neural network provided the most accurate model (Root mean squared error: 0.62), which was subsequently deployed as a web-based calculator: https://predictivecalculators.shinyapps.io/ANN-HB . The current study shows that ML models could be utilized as accurate predictors of indirect measures of PPH and can be readily incorporated into healthcare systems. Further studies with heterogenous population-based samples may further improve the generalizability of these models.
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  • 文章类型: Journal Article
    对于癌症治疗,现在的重点是将化疗药物靶向癌细胞而不损害其他正常细胞。基于生物相容性磁性载体的新材料将用于靶向癌症治疗,然而,应该理解它们的有效性。本文对包含变量x(m)的数据集进行了全面分析,y(m),和U(m/s),其中U表示血液通过含有铁磁流体的血管的速度。使用混合模型研究了外部磁场对流体流动的影响。这项研究的主要目的是构建精确可靠的速度预测模型,利用提供的输入变量。几个基本模型,包括K近邻(KNN),决策树(DT),和多层感知器(MLP),进行了培训和评估。此外,实现了一个名为AdaBoost的集成模型,以进一步提高预测性能。超参数优化技术,特别是BAT优化算法,被用来对模型进行微调。实验结果证明了该方法的有效性。AdaBoost算法和决策树模型的组合在R2方面产生了令人印象深刻的0.99783分,表明了强大的预测性能。此外,该模型表现出较低的错误率,如5.2893×10-3的均方根误差(RMSE)所示。同样,AdaBoost-KNN模型使用R2指标表现出0.98524的高分,RMSE为1.3291×10-2。此外,AdaBoost-MLP模型获得令人满意的R2得分为0.99603,RMSE为7.1369×10-3。
    For cancer therapy, the focus is now on targeting the chemotherapy drugs to cancer cells without damaging other normal cells. The new materials based on bio-compatible magnetic carriers would be useful for targeted cancer therapy, however understanding their effectiveness should be done. This paper presents a comprehensive analysis of a dataset containing variables x(m), y(m), and U(m/s), where U represents velocity of blood through vessel containing ferrofluid. The effect of external magnetic field on the fluid flow is investigated using a hybrid modeling. The primary aim of this research endeavor was to construct precise and dependable predictive models for velocity, utilizing the provided input variables. Several base models, including K-nearest neighbors (KNN), decision tree (DT), and multilayer perceptron (MLP), were trained and evaluated. Additionally, an ensemble model called AdaBoost was implemented to further enhance the predictive performance. The hyper-parameter optimization technique, specifically the BAT optimization algorithm, was employed to fine-tune the models. The results obtained from the experiments demonstrated the effectiveness of the proposed approach. The combination of the AdaBoost algorithm and the decision tree model yielded a highly impressive score of 0.99783 in terms of R2, indicating a strong predictive performance. Additionally, the model exhibited a low error rate, as evidenced by the root mean square error (RMSE) of 5.2893 × 10-3. Similarly, the AdaBoost-KNN model exhibited a high score of 0.98524 using R2 metric, with an RMSE of 1.3291 × 10-2. Furthermore, the AdaBoost-MLP model obtained a satisfactory R2 score of 0.99603, accompanied by an RMSE of 7.1369 × 10-3.
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  • 文章类型: Journal Article
    大多数代谢组学数据集的主要限制是检测到的代谢物的途径注释的稀疏性。这些数据集中少于一半的鉴定的代谢物具有已知的代谢途径参与是常见的。试图解决这个限制,已经开发了机器学习模型来预测代谢物与“途径类别”的关联,由像KEGG这样的代谢知识库定义。过去的模型被实现为特定于单个路径类别的单个二进制分类器,需要一组二进制分类器来生成多个路径类别的预测。这种过去的方法增加了训练所需的计算资源,同时稀释了训练所需的黄金标准数据集中的阳性条目。为了解决这些限制,我们提出了使用单个二元分类器的代谢途径预测问题的概括,该分类器接受既代表代谢物又代表途径类别的特征,然后预测给定的代谢物是否涉及相应的途径类别。我们证明了这种代谢物-途径特征对方法不仅优于训练单独的二元分类器的组合性能,而且在鲁棒性方面表现出数量级的提高:马修斯相关系数为0.784±0.013对0.768±0.154。
    A major limitation of most metabolomics datasets is the sparsity of pathway annotations for detected metabolites. It is common for less than half of the identified metabolites in these datasets to have a known metabolic pathway involvement. Trying to address this limitation, machine learning models have been developed to predict the association of a metabolite with a \"pathway category\", as defined by a metabolic knowledge base like KEGG. Past models were implemented as a single binary classifier specific to a single pathway category, requiring a set of binary classifiers for generating the predictions for multiple pathway categories. This past approach multiplied the computational resources necessary for training while diluting the positive entries in the gold standard datasets needed for training. To address these limitations, we propose a generalization of the metabolic pathway prediction problem using a single binary classifier that accepts the features both representing a metabolite and representing a pathway category and then predicts whether the given metabolite is involved in the corresponding pathway category. We demonstrate that this metabolite-pathway features pair approach not only outperforms the combined performance of training separate binary classifiers but demonstrates an order of magnitude improvement in robustness: a Matthews correlation coefficient of 0.784 ± 0.013 versus 0.768 ± 0.154.
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  • 文章类型: Journal Article
    背景:背中缝是5-羟色胺能神经元的主要调节因子,大脑状态。这些区域之间的功能连接是不完全表征的。这里,我们利用辐照度变化的能力来触发斑马鱼幼虫的背中缝和背中缝活动的可重复变化,结合双光子激光消融特定神经元,建立因果关系。
    结果:马尾骨中的神经元可以对光的发作或偏移表现出兴奋反应,而中缝前背侧的神经元表现出对光的抑制反应,通过钙成像评估。在背囊(dHb)和腹囊(vHb)消融后,raphe反应发生了复杂的变化。在消融vHb中的ON细胞(V-ON)后,raphe对光线没有反应。在消融vHb中的OFF细胞(V-OFF)后,raphe对黑暗表现出兴奋的反应。在dHb(D-ON)中消融ON细胞后,raphe对光表现出兴奋的反应。我们试图开发计算机模型,该模型可以概括raphe神经元的响应,作为on和off细胞的函数。使用常微分方程(ODE)进行机械建模的早期尝试未能准确捕获观察到的快速响应。然而,一个简单的两层全连接神经网络(NN)模型成功地概括了观察到的表型的多样性,均方根误差值在0.012到0.043之间。NN模型还估计了对D-off细胞消融的反应,这可以通过未来的实验来验证。
    结论:在背中缝不同区域的损伤特异性细胞导致对光的定性不同反应。一个简单的神经网络能够模仿实验观察。这项工作说明了计算建模将复杂的观察结果集成到简单的紧凑形式主义中以生成可测试的假设的能力,并指导生物实验的设计。
    BACKGROUND: The habenula is a major regulator of serotonergic neurons in the dorsal raphe, and thus of brain state. The functional connectivity between these regions is incompletely characterized. Here, we use the ability of changes in irradiance to trigger reproducible changes in activity in the habenula and dorsal raphe of zebrafish larvae, combined with two-photon laser ablation of specific neurons, to establish causal relationships.
    RESULTS: Neurons in the habenula can show an excitatory response to the onset or offset of light, while neurons in the anterior dorsal raphe display an inhibitory response to light, as assessed by calcium imaging. The raphe response changed in a complex way following ablations in the dorsal habenula (dHb) and ventral habenula (vHb). After ablation of the ON cells in the vHb (V-ON), the raphe displayed no response to light. After ablation of the OFF cells in the vHb (V-OFF), the raphe displayed an excitatory response to darkness. After ablation of the ON cells in the dHb (D-ON), the raphe displayed an excitatory response to light. We sought to develop in silico models that could recapitulate the response of raphe neurons as a function of the ON and OFF cells of the habenula. Early attempts at mechanistic modeling using ordinary differential equation (ODE) failed to capture observed raphe responses accurately. However, a simple two-layer fully connected neural network (NN) model was successful at recapitulating the diversity of observed phenotypes with root-mean-squared error values ranging from 0.012 to 0.043. The NN model also estimated the raphe response to ablation of D-off cells, which can be verified via future experiments.
    CONCLUSIONS: Lesioning specific cells in different regions of habenula led to qualitatively different responses to light in the dorsal raphe. A simple neural network is capable of mimicking experimental observations. This work illustrates the ability of computational modeling to integrate complex observations into a simple compact formalism for generating testable hypotheses, and for guiding the design of biological experiments.
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  • 文章类型: Journal Article
    猫产科护理的一个关键挑战是准确预测妊娠晚期的分娩日期。经典的简单线性回归(SLR)模型,采用胎儿双顶直径(BPD)作为单输入特征,经常应用于这种预测,精度有限。由于多层感知器(MLP)和支持向量回归(SVR)现在是两个最有效的科学回归模型,这项研究,第一次,介绍了这些模型作为预测猫科动物分娩日期的新工具。以下特征是我们模型的候选输入:双顶直径(BPD),垫料大小,和产妇体重。我们观察并比较了每个模型的性能结果。作为表现最好的模型,MLP的系数得分最高(0.972±0.006),最低平均绝对误差得分(1.110±0.060),最低均方误差得分(1.540±0.141),分别。在这项研究中第一次,BPD,垫料大小,和母体体重被认为是创新的MLP和SVR建模的基本特征。通过优化的模型参数和描述的分析平台,进一步验证这些先进模式在猫科动物产科实践中是可行的。
    A crucial challenge in feline obstetric care is the accurate prediction of the parturition date during late pregnancy. The classic simple linear regression (SLR) model, which employed the fetal biparietal diameter (BPD) as the single input feature, was frequently applied for such prediction with limited accuracy. Since Multilayer Perceptron (MLP) and Support Vector Regression (SVR) are now two of the most potent scientific regression models, this study, for the first time, introduced such models as the new promising tools for feline parturition date prediction. The following features were candidate inputs for our models: biparietal diameter (BPD), litter size, and maternal weight. We observed and compared the performance results for each model. As the best-performed model, MLP delivered the highest coefficient score (0.972 ± 0.006), lowest mean absolute error score (1.110 ± 0.060), and lowest mean squared error score (1.540 ± 0.141), respectively. For the first time in this study, BPD, litter size, and maternal weight were considered the essential features for the innovative MLP and SVR modeling. With the optimized model parameters and the described analytical platform, further verification of these advanced models in feline obstetric practices is feasible.
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  • 文章类型: Journal Article
    影响混凝土抗压强度的因素很多。抗压强度与这些因素之间的关系是一个复杂的非线性问题。通常用于预测混凝土抗压强度的经验公式是基于总结几种不同配合比和养护期的实验数据。他们的普遍性很差。本文提出了一种改进的人工蜂群算法(IABC)和多层感知器(MLP)耦合模型,用于预测混凝土的抗压强度。针对基本人工蜂群算法的不足,例如容易陷入局部最优和收敛速度慢,本文将高斯变异算子引入到基本人工蜂群算法中,以优化初始蜜源位置,并设计了一种基于改进人工蜂群算法(IABC-MLP)的MLP神经网络模型。与传统的强度预测模型相比,ABC-MLP模型在考虑多因素的复合效应时,能够较好地捕捉混凝土抗压强度的非线性关系,达到较高的预测精度。将本研究中建立的IABC-MLP模型与ABC-MLP和粒子群优化(PSO)耦合算法进行了比较。研究表明IABC能显著提高MLP的训练和预测精度。与ABC-MLP和PSO-MLP耦合模型相比,IABC-MLP模型的训练精度分别提高了1.6%和4.5%,分别。该模型还与MLP等常见的个体学习算法进行了比较,决策树(DT),支持向量机回归(SVR),和随机森林算法(RF)。根据预测结果的比较,所提出的方法在所有指标上都表现出优异的性能,并证明了启发式算法在预测混凝土抗压强度方面的优越性。
    There are many factors that affect the compressive strength of concrete. The relationship between compressive strength and these factors is a complex nonlinear problem. Empirical formulas commonly used to predict the compressive strength of concrete are based on summarizing experimental data of several different mix proportions and curing periods, and their generality is poor. This article proposes an improved artificial bee colony algorithm (IABC) and a multilayer perceptron (MLP) coupled model for predicting the compressive strength of concrete. To address the shortcomings of the basic artificial bee colony algorithm, such as easily falling into local optima and slow convergence speed, this article introduces a Gaussian mutation operator into the basic artificial bee colony algorithm to optimize the initial honey source position and designs an MLP neural network model based on the improved artificial bee colony algorithm (IABC-MLP). Compared with traditional strength prediction models, the ABC-MLP model can better capture the nonlinear relationship of the compressive strength of concrete and achieve higher prediction accuracy when considering the compound effect of multiple factors. The IABC-MLP model built in this study is compared with the ABC-MLP and particle swarm optimization (PSO) coupling algorithms. The research shows that IABC can significantly improve the training and prediction accuracy of MLP. Compared with the ABC-MLP and PSO-MLP coupling models, the training accuracy of the IABC-MLP model is increased by 1.6% and 4.5%, respectively. This model is also compared with common individual learning algorithms such as MLP, decision tree (DT), support vector machine regression (SVR), and random forest algorithms (RF). Based on the comparison of prediction results, the proposed method shows excellent performance in all indicators and demonstrates the superiority of heuristic algorithms in predicting the compressive strength of concrete.
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