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Scientific Reports logoLink to Scientific Reports
. 2025 Aug 10;15:29241. doi: 10.1038/s41598-025-15005-9

An ensemble of deep representation learning with metaheuristic optimisation algorithm for critical health monitoring using internet of medical things

Mai Alduailij 1,✉
PMCID: PMC12336321  PMID: 40784985

Abstract

The Internet of Things (IoT) plays a significant part in the healthcare field. The growth of smart devices, smart sensors, and advanced lightweight communication protocols has created an opportunity to connect medical devices for monitoring biomedical signals and identifying patients’ illnesses without human involvement, known as the Internet of Medical Things (IoMT). The IoMT enables a medical method to connect various smart devices, such as hospital assets, wearable sensors, and medical examination instruments, to create an information platform. In recent times, the IoMT has been extensively utilized in various areas, including disease diagnosis, smart hospitals, infectious disease tracking, and remote health monitoring. Still, safety is one of the key requirements for the success of IoMT systems. Thus, at present, deep learning (DL) is considered a safe IoMT system, as it can enhance the system’s performance. In this manuscript, the Ensemble of Deep Learning and Metaheuristic Optimisation algorithms for the Critical Health Monitoring (EDLMOA-CHM) technique is proposed. The EDLMOA-CHM technique aims to develop and evaluate effective methods for monitoring health conditions in the IoMT to enhance healthcare system security and patient safety. Initially, the Z-score normalization method is employed in the data pre-processing step to clean, transform, and organize raw data into an appropriate format. For the feature selection process, the binary grey wolf optimization (BGWO) model is employed to identify and retain the most significant features in the dataset. The classification process utilizes ensemble models, including the Temporal Convolutional Network (TCN), the Attention-based Bidirectional Gated Recurrent Unit (A-BiGRU), and the Hybrid Deep Belief Network (HDBN) techniques. To further optimize model performance, the pelican optimization algorithm (POA) is utilized for hyperparameter tuning to ensure that the optimum hyperparameters are chosen for enhanced accuracy. To demonstrate the improved performance of the EDLMOA-CHM model, a comprehensive experimental analysis is conducted using the healthcare IoT dataset. The comparison analysis of the EDLMOA-CHM model demonstrated a superior accuracy value of 99.56% over existing techniques.

Keywords: Critical health monitoring, Internet of medical things, Ensemble deep learning, Metaheuristic optimisation algorithm, Feature selection

Subject terms: Computer science, Information technology

Introduction

Human health is crucial for leading a peaceful and prosperous life. As defined by the World Health Organisation (WHO), health is a state of physical and psychological well-being, free from disease and disability. Healthcare involves improving or maintaining health through the prevention, diagnosis, and treatment of sickness and wounds1. The conventional healthcare system often relies on manual handling and recording of patient data, case histories, diagnostics, medications, billing, and drug inventory, which can lead to human errors and negatively impact patient care. IoT-driven smart healthcare minimizes these errors and assists doctors in diagnosing illnesses more accurately and efficiently by connecting all crucial monitoring devices over a network with a decision support system2. Medical devices that can exchange data over a network without needing human-to-computer or human-to-human communication are known as the IoMT. Currently, IoMT is an essential technological domain in the healthcare field. It includes a network of interconnected medical networks and devices that gather, analyze, and share health data3. This permits remote monitoring, diagnosis, and treatment of patients, transforming traditional healthcare services. An IoMT is an intelligent system mainly composed of sensors and electronic components to capture patient’s biomedical signals, a processing unit to inspect the signal, a network module to send the data through a network, a shortage unit either for short-term or long-term use, and a display system with artificial intelligence (AI) techniques to support decision-making as per the doctor’s needs4.

Despite its advantages, securing IoMT devices and healthcare infrastructures remains a key concern. The medical data in IoMT must be safeguarded throughout all stages, including collection, transmission, and storage5. IoMT has significantly transformed the healthcare field by offering personalized and targeted treatments. The widespread use of medical devices in worldwide healthcare settings has brought several benefits6. However, it has also raised significant concerns about privacy and security. Unlike other systems, IoMT can directly impact patients’ lives and raise privacy issues if personal identities are exposed. Therefore, ensuring security is essential for the effective operations of IoMT systems7. The current healthcare setups collect and handle a large volume of critical and frequent medical data, making important decisions based on it8. Even if they can’t fully access the clinic’s network, they may still illegally retrieve private and sensitive medical information. The healthcare systems and devices can result in serious physical harm and dangerous situations for patients9. For this reason, protecting privacy has become a key concern in today’s digital age. Conventional security measures are no longer acceptable to improve their tactics and apply sophisticated hacking methods. As a result, DL and machine learning (ML) techniques are used to monitor patients in IoMT10. The development of computing and data handling technologies has enabled the application of DL and ML methods on a broader scale, allowing for the accurate monitoring of health conditions. Figure 1 represents the general structure of IoMT.

Fig. 1.

Fig. 1

General architecture of IoMT.

In this manuscript, the Ensemble of Deep Learning and Metaheuristic Optimisation algorithms for the Critical Health Monitoring (EDLMOA-CHM) technique is proposed. The EDLMOA-CHM technique aims to develop and evaluate effective methods for monitoring health conditions in the IoMT to enhance healthcare system security and patient safety. Initially, the Z-score normalization method is employed in the data pre-processing step to clean, transform, and organize raw data into an appropriate format. For the feature selection process, the binary grey wolf optimization (BGWO) model is employed to identify and retain the most significant features in the dataset. The classification process utilizes ensemble models, including the Temporal Convolutional Network (TCN), the Attention-based Bidirectional Gated Recurrent Unit (A-BiGRU), and the Hybrid Deep Belief Network (HDBN) techniques. To further optimize model performance, the pelican optimization algorithm (POA) is utilized for hyperparameter tuning to ensure that the optimum hyperparameters are chosen for enhanced accuracy. To demonstrate the improved performance of the EDLMOA-CHM model, a comprehensive experimental analysis is conducted using the healthcare IoT dataset. The major contribution of the EDLMOA-CHM model is listed below.

  • The EDLMOA-CHM approach utilizes Z-score normalization to pre-process the raw data, ensuring effective cleaning and transformation by standardizing the data distribution, which enhances the quality and reliability of the input for subsequent feature selection and classification processes.

  • The EDLMOA-CHM technique integrates the BGWO model to perform effective feature selection, effectively mitigating dimensionality and improving the model’s capability to concentrate on the most relevant and informative features, thereby enhancing overall classification accuracy and computational efficiency.

  • The EDLMOA-CHM methodology employs ensemble techniques, namely TCN, A-BiGRU, and HDBN approaches, which improve accuracy and robustness through the complementary capabilities of temporal convolution, attention-based sequence learning, and deep belief representation, thereby enhancing overall prediction performance.

  • The EDLMOA-CHM model employs the POA technique for precise hyperparameter tuning, which systematically searches the parameter space to identify optimal settings, thereby significantly enhancing the predictive accuracy, convergence efficiency, and overall stability of the model during both training and evaluation phases.

  • The EDLMOA-CHM method presents a novel and robust approach by incorporating BGWO-based feature selection with a POA-tuned ensemble of TCN, A-BiGRU, and HDBN classifiers, which effectively balances feature relevance and model optimization. This integrated strategy improves classification accuracy by employing the strengths of diverse DL methods, while the advanced optimization techniques ensure efficient training and improved generalization across complex datasets.

Literature survey

Babar et al.11 proposed a model by integrating software-defined networking (SDN) with DL techniques. The framework utilizes bidirectional long short-term memory (BiLSTM) method for detecting network attacks and convolutional neural network (CNN) for optimal fog node selection, ensuring efficient data processing and enhanced Quality of Service (QoS) in smart Healthcare-Cyber-Physical Internet of Things (H-CIoT) environments. Lakshmanaprakash et al.12 presented a deep optimized network (DON) model. The approach employs coot optimized feature selection (COFS) to improve data relevance, and a convoluted recurrent attention network (CRAN) whose hyperparameters are fine-tuned using the Cray Fish Optimization (CFO) method for high-accuracy classification. Jiang et al.13 introduced a privacy-preserving, high-accuracy emotion recognition framework using electroencephalography (EEG) signals. The model also integrates a fuzzy ensemble-based federated learning (FL) model incorporating temporal convolutional network (TCN), long short-term memory (LSTM), and gated recurrent unit (GRU), along with a Gompertz function-based fuzzy ranking mechanism and an asynchronous dropout strategy to ensure secure and efficient model aggregation. Baseer et al.14 presented a robust coronary artery disease prediction model by incorporating the IoMT with AI. It utilizes TabNet for efficient feature selection and extraction, and CatBoost for accurate classification of heart disease risks using real-time physiological data from IoMT-enabled devices.

Ramani et al.15 introduced a comprehensive healthcare framework named Optimized Data Management and Secured Federated Learning (ODMSM-FL) methodology, which integrates FL, blockchain (BC), and decentralized data management. Ali et al.16 recommended a new hybrid DL-assisted homomorphic encryption (HE) technique for Industrial IoMT (IIoMT) for dealing with those difficulties employing a consortium BC. Incorporating HE alongside the recommended IIoMT device is a key achievement of this study. Ashok and Gopikrishnan17 presented a dynamically reconfigurable BC-based model. The model utilizes elephant herding optimization (EHO) and grey wolf optimization (GWO) methodologies to continuously optimize encryption and hashing parameters, ensuring robust protection against diverse attack types while maintaining network performance. Shukla et al.18 improved health monitoring and prediction in the IoMT by incorporating a hybrid hierarchical DL technique with metaheuristic optimization techniques. It utilizes the self-regularized quantum coronavirus optimization algorithm (SQCOA) model for effective feature selection, integrated with optimized LSTM (OLSTM) and hierarchical convolutional spiking neural network (HCSNN) technique for accurate feature learning and prediction. Table 1 summarizes the key techniques, methodologies, datasets, and performance results of the existing studies on critical health monitoring.

Table 1.

Details of the dataset.

Health Status No. of Samples

Unhealthy (in need of medical

attention)

113
Healthy 87
Total Samples 200

Table 1.

Summary of existing studies highlighting key techniques, methodologies, datasets, and performance outcomes across related research.

Reference Number Objective Method Dataset Measures
Babar et al.11

To develop a secure,

intelligent, and

efficient SDN-driven

DL framework

SDN, BiLSTM, DL,

CNN

CICIDS2019 Dataset

Accuracy, Precision,

Recall, F1-Score,

TPR, FNR

Lakshmanaprakash

et al.12

To develop an IoMT-

enabled DON model

for efficient disease

diagnosis and real-

time health

monitoring

COFS, CRAN, CFO

Open-Source

Medical Datasets

Accuracy, Efficiency,

Time Complexity

Jiang et al.13

To develop a

privacy-preserving

and accurate EEG-

based emotion

recognition system

using FL

TCN, LSTM, GRU,

Gompertz Fuzzy

Rank, Asynchronous

Dropout Algorithm

GAMEEMO, SEED,

DEAP

Accuracy, F1-Score
Baseer et al.14

To develop a

predictive model for

coronary artery

disease using AI

and IoMT

IoMT-based Data

Acquisition, TabNet,

CatBoost, Real-Time

Data Processing

Diverse Patient

Profiles

Accuracy,

Interpretability,

Prediction Speed

Ramani et al.15

To develop an

optimized and secure

data management

framework

ODMSM-FL, BC-

based Security,

Decentralized

Architecture

IoMT-Generated

Medical Data

Accuracy, Latency,

Security, Throughput,

Convergence Rate

Ali et al.16

The objective is to

develop a secure

and efficient hybrid

DL model

Hybrid DL,

Homomorphic

Encryption,

Consortium BC,

Edge-Cloud

Collaboration

Encrypted EMR

Data

Security, Efficiency,

Latency

Ashok and

Gopikrishnan17

To develop a

dynamically

reconfigurable hybrid

metaheuristic BC

model

EHO, GWO, BC,

Dual Fitness

Functions

Simulated IoMT

Attack Scenarios

Attack Detection

Speed, Throughput,

Packet Delivery

Ratio

Shukla et al.18

To develop a hybrid

hierarchical DL with

optimization models

SQCOA, OLSTM,

HCSNN

IoMT sensor data

Accuracy, Prediction

Performance

Despite the improvements in DL and FL for smart H-CIoT and IIoMT systems, various limitations still exist. Several techniques depend on accuracy but often overlook computational efficiency and scalability in real-world heterogeneous networks. Data privacy and security mechanisms, although incorporated, need additional robustness against growing threats. Furthermore, various methods rely on centralized training or assume ideal network conditions, restricting their adaptability. The research gap lies in addressing these challenges by developing lightweight, secure, and scalable models that can effectively process data in real-time across diverse IoMT environments while maintaining data privacy and resilience.

Proposed methodology

In this manuscript, the EDLMOA-CHM technique is proposed. The EDLMOA-CHM technique aims to develop and evaluate effective methods for monitoring health conditions in the IoMT, enhancing healthcare system security and patient safety. To accomplish this, the EDLMOA-CHM method comprises several stages, including data pre-processing, feature selection, ensemble classification process, and parameter tuning of the model. Figure 2 depicts the overall working flow procedure of the EDLMOA-CHM method.

Fig. 2.

Fig. 2

Overall working flow procedure of EDLMOA-CHM model.

Data pre-processing stage

Initially, the Z-score normalization method is employed to transform and organize raw data into an appropriate format19. This model is chosen for its capability to standardize features by centring them around the mean with a unit standard deviation, which effectively assists in handling data with varying scales. This technique ensures that extreme values do not disproportionately influence the scaling process, unlike methods such as min-max scaling. The model is also less sensitive to outliers, resulting in enhanced convergence during model training and improved stability of learning algorithms. Additionally, it maintains the distribution shape of the data, making it appropriate for models that usually assume distributed input features. Overall, Z-score normalization offers a balanced and reliable method for preparing data, resulting in more accurate and robust model performance compared to other scaling techniques.

The measure of standard errors was represented by the Z-Score, a conventional standardization and normalization model, which specifies that the raw data value is the deviation from the complete population mean. It was optimally positioned between Inline graphic and Inline graphic. The dataset was standardized to the previously specified scale with different sizes. The z-score is a device used for stabilizing data. To compute the rating, remove the complete population average from the unrefined data point and split the outcome by the standard deviation. The outcome preferably ranges from Inline graphic to Inline graphic, specifying the sum of standard deviations that a point diverges from the mean, as defined in Eq. (1), where y denotes the median value of a particular sample, Inline graphic is the standard deviation, and Inline graphic is the median.

graphic file with name 41598_2025_15005_Article_Equ1.gif 1

Here, Inline graphic represents the standardized value of a data point, where Inline graphic is the mean and Inline graphic is the standard deviation of the dataset.

BGWO-based feature selection process

For the feature selection process, the BGWO technique is employed20. This model is chosen for its robust balancing capability between exploration and exploitation, and is motivated by the social hierarchy and hunting behaviour of grey wolves. This method effectually avoids local optima and converges faster, which is critical for high-dimensional datasets, unlike other optimization techniques. Its binary nature allows for the seamless handling of discrete feature selection problems, making it more suitable than continuous optimization methods. Moreover, BGWO requires fewer control parameters and is computationally efficient, resulting in mitigated complexity while maintaining high accuracy. These merits make BGWO a robust and reliable choice for choosing the most relevant features, ultimately improving the performance and interpretability of the model.

The GWO lengthens the continuous GWO (CGWO) to address different problem areas, such as feature selection. Solution vectors in BGWO are dual and restricted to the points which denote the searching region. The alpha Inline graphic, beta (Inline graphic), and delta Inline graphic wolves are updated in every place of the wolves, suggesting the best three solutions discovered thus far. The updated equations for all wolves are directed by the location vectors Inline graphic, Inline graphic, and Inline graphic and are specified by:

graphic file with name 41598_2025_15005_Article_Equ2.gif 2

Whereas crossover operations among binary solutions Inline graphic were specified by the Crossover symbols Inline graphic. The inspiration of alpha, beta, and delta wolves on the Inline graphic movement is characterized by vectors Inline graphicwhich are described as demonstrated:

graphic file with name 41598_2025_15005_Article_Equ3.gif 3

Here, Inline graphic refers to the alpha wolf’s location vector in dimension d, Inline graphic means binary step, which is computed below:

graphic file with name 41598_2025_15005_Article_Equ4.gif 4

Now, Inline graphic denotes a continuous-valued step size in dimension d described by the sigmoidal function, and Inline graphic denotes a randomly generated number extracted from the uniform distribution:

graphic file with name 41598_2025_15005_Article_Equ5.gif 5

Here, Inline graphic and Inline graphic have values derived from another equation. To attain BGWO, the delta, alpha, and beta solution assistants are incorporated using the stochastic crossover model. For all dimensions, the output of the crossover can be determined by:

graphic file with name 41598_2025_15005_Article_Equ6.gif 6

Whereas the dual values for 1st, 2nd, and 3rd solutions in dimensions d are Inline graphic, and Inline graphic, correspondingly, and the Inline graphic is once again a randomly generated number from the uniform distribution. Discovering a feature subset that provides the best trade-off among classification performance and the nominated feature counts becomes very important, as the BGWO tactic plays a crucial role.

The fitness function (FF) is projected to have a balance among the nominated feature amounts in all solutions (least) and the classification precision (highest) attained by employing these preferred features. Equation (7) symbolizes the FF to calculate a solution.

graphic file with name 41598_2025_15005_Article_Equ7.gif 7

Here, Inline graphic characterizes the classification error rate. Inline graphicrefers to the designated subset cardinality, and Inline graphic denotes the complete feature set; Inline graphic and Inline graphic are dual parameters similar to the significance of classifier excellence and subset length.

Ensemble classification process

Afterwards, the ensemble models such as TCN, GRU, and HDBN are employed for the classification process. The ensemble techniques are chosen for their robust capability, where TCN captures long-range temporal dependencies, GRU efficiently handles sequential data with reduced complexity, and HDBN outperforms in learning hierarchical feature representations. Together, they provide a comprehensive and robust framework that improves classification accuracy and generalization compared to using individual models alone.

TCN model

CNNs are typically designed for processing grid-like input instances, such as images. By substituting the commonly used 2D convolutional kernel with a 1D kernel, CNNs21. The effective CNN for sequence modelling is called temporal CNN (TCN). With every successive layer, the rate of dilation Inline graphic doubled, and the input sequence’s middle value is skipped through the convolution. This idea enhances the maximum input length examined and addressed in the receptive area P. This model inspects longer sequences by using dilation, while maintaining smaller model dimensions.

graphic file with name 41598_2025_15005_Article_Equ8.gif 8

Whereas Inline graphic denotes the convolutional filter’s kernel size, X the number of TCN stacks, and Inline graphic the rate of dilation. It includes the single block Inline graphic and a kernel size Inline graphic with dilation Inline graphic.

Attention-based BiGRU model

GRU is the most effective type of RNN, overcoming several concerns related to conventional RNNs, including the issues of exploding and vanishing gradients during training22. GRU can hold a small framework in contrast to RNN, combining the ‘input’ and ‘forget’ gates into a single ‘update’ gate, making it less computationally intensive while simultaneously being able to acquire dependencies through longer sequences. This efficacy makes GRU particularly beneficial for modelling sequential data, time series, and other applications where long-term and short-term dependencies are essential. In this context, LSTM and deeper bi-directional RNNs, such as GRU, are employed for recognizing temporal dependencies.

BI-GRU is a variant of the fundamental GRU, which concurrently considers previous and upcoming context during training. Bidirectional encoding enhances the methodology for examining sequential information because it reveals dependencies among the data, which cannot be seen in one-directional encoding. BI-GRU can be improved by incorporating data from both sequence ends, as the shortcomings of a unidirectional technique have been complemented by data from the other sequence end. Thus, BI-GRU can acquire more significant data.

Nevertheless, a single GRU layer is weaker and acquires a modest temporal pattern. This drawback is addressed in the Stacked GRU technique, which employs multiple layers of GRU. Within the Stacked GRU, the output of every layer is passed on to the succeeding layer, where learning aspects are enhanced, and layers can study deep relations in the information. A similar unit also facilitates the methodology for learning more from the hierarchical form.

The attention-based BiGRU method combines BiGRU with an attention mechanism (AM) to focus on the most substantial portions of the input sequence. In contrast to what occurs in static techniques, not every time step contributes to a similar output. The aspects aid in offering diverse significance to steps, permitting the method to concentrate on moments which is more significant for the final decision. While pairing with BI-GRU, the AM could enhance the mechanism, allowing it to weigh the more essential inputs. The AM enables the dynamic selection of unfocused and focused parts of an input, thereby improving interpretability and precision. Figure 3 depicts the structure of the attention-based BiGRU model.

Fig. 3.

Fig. 3

Structure of the attention-based Bi-GRU model.

HDBN model

The HDBN model is employed to remove hierarchical and higher-level representations from the input data. The primary step involves the complete utilization of supervised and unsupervised learning to accurately identify composite relationships and designs that occur in data23. Specifically, the primary objective is to build a strong representation through unsupervised pre-training of RBMs with supervised fine-tuning.

HDBN is constructed as an RBM stack, where each RBM is located at a specific level of the hierarchy. Pre-training is performed layer-wise, beginning with the raw input and continuing deep within the network. Every RBM includes a visible layer Inline graphic which demonstrates an input, and a hidden layer Inline graphic. The dual layers are linked through a probability-based function.

The energy function for the particular RBM can be specified as:

graphic file with name 41598_2025_15005_Article_Equ9.gif 9

Whereas, Inline graphic and Inline graphic represent hidden and visible units, respectively. Inline graphic refers to weight linking Inline graphic to Inline graphic Inline graphic and Inline graphic denote biased terms for the hidden and visible units. Inline graphic denotes the RBM’s parameters. The combined likelihood distribution of v and h is demonstrated utilizing the distribution of Boltzmann:

graphic file with name 41598_2025_15005_Article_Equ10.gif 10

Whereas Z denote the partition function guaranteeing standardization:

graphic file with name 41598_2025_15005_Article_Equ11.gif 11

In pre-training, each RBM is trained individually using Contrastive Divergence Inline graphic to minimize divergence. The parameters Inline graphic are upgraded iteratively:

graphic file with name 41598_2025_15005_Article_Equ12.gif 12

Whereas Inline graphic denotes the rate of learning, and the terms Inline graphic and Inline graphic signify expectation in terms of the model and data distributions, correspondingly.

Afterwards, the RBMs are pre-trained, and then the complete stack is perfected through the use of supervised learning. The biases Inline graphic and weights Inline graphic are modified by reducing the supervised loss function:

graphic file with name 41598_2025_15005_Article_Equ13.gif 13

Here, Inline graphic refers to the true label, and Inline graphic denotes forecast output, Inline graphic denotes a term of regularisation.

POA-based parameter tuning model

To further optimize model performance, the POA is utilized for hyperparameter tuning to ensure that the optimum hyperparameters are chosen for enhanced accuracy24. This technique is selected for its robust global search capabilities and fast convergence rate, which effectively avoids premature convergence issues common in other optimization methods. The model demonstrates excellence in striking a balance between adaptive exploration and exploitation, ensuring effective hyperparameter optimization. This methodology also illustrates higher accuracy and robustness in tuning complex ensemble models compared to conventional techniques. The model is also suitable for enhancing classification results while minimizing computational overhead.

The POA is a population-based optimizer model, whereas pelicans symbolize possible solutions within the optimizer environment. Every population member recommends values for the optimizer variables, depending on their locations, which are primarily randomized within predetermined lower and upper limits. This initialization procedure initiates the hunt for the best solutions, directed by the constraints of the problem, as defined by Eq. (14):

graphic file with name 41598_2025_15005_Article_Equ14.gif 14

Now, Inline graphic characterizes the Inline graphic variable value for the Inline graphic candidate solution. N signifies the complete population member counts (pelicans). M represents the optimization variable counts. Inline graphic displays a randomly generated number that gives values between Inline graphic,1). Inline graphic and Inline graphic characterize the upper and lower bounds, correspondingly, for Inline graphic variable. The population is structured into a matrix in Eq. (15). This systematic model enables empirical evaluation and manipulation of each solution in the optimizer procedure.

graphic file with name 41598_2025_15005_Article_Equ15.gif 15

During this method, the pelican’s population is characterized by the matrix X, where Inline graphic explicitly indicates the location of the Inline graphic pelican. The model imitates the attacking and hunting behaviours of pelicans to upgrade the candidate solution proficiently. These behaviours are incorporated towards the best areas.

Step 1- Behaviour of hunting Eq. (16): The novel location of the Inline graphic pelican in dimension j in stage 1 is estimated as:

graphic file with name 41598_2025_15005_Article_Equ16.gif 16

Whereas Inline graphic specifies the novel location of the Inline graphic pelican in dimension j (Stage 1). Inline graphic represents the hunting position in dimension Inline graphic I describe a randomly formed number, which captures both 1 and 2. Inline graphic indicates the objective function value at position Inline graphic Inline graphic describes the value of the objective function at Inline graphic A randomly generated number between Inline graphic,1) is signified by Inline graphic. This stage estimates nearby points based on the pelican’s current location to direct the search towards an enhanced solution.

Step 2- Behaviour of attacking (Eq. (17): The novel location of the Inline graphic pelican in dimension j in stage 2 is considered as:

graphic file with name 41598_2025_15005_Article_Equ17.gif 17

Now, Inline graphic signifies the new location of the Inline graphic pelican in the Inline graphic dimension (Stage 2). R indicates a constant. t means the present iteration counter. T designates maximal iteration counts. Inline graphic exhibits a feature that decreases the vicinity radius in time, guaranteeing convergence.

This stage mimics the attacking behaviour of the pelican, allowing the model to dynamically address the search area while gradually narrowing the search towards the best areas.

Position Updated Mechanism (Eq. 18): After Stage 2, the model estimates whether to reject or accept the novel location according to the objective function value:

graphic file with name 41598_2025_15005_Article_Equ18.gif 18

Whereas Inline graphic illustrates the new position of the Inline graphic pelican after stage 2. Inline graphic denotes an objective function value at the original position Inline graphic Inline graphic means the value of the objective function at the present location Inline graphic. This updated method ensures that the model only receives locations that improve the solution, thereby preserving sensitivity to changes in the search region while facilitating convergence.

The fitness choice is a significant feature prompting the performance of the POA model. The procedure of hyperparameter selection contains the solution encoding method to measure the efficiency of the candidate solution. The POA method prioritizes precision as a key standard for designing FF, as demonstrated.

graphic file with name 41598_2025_15005_Article_Equ19.gif 19
graphic file with name 41598_2025_15005_Article_Equ20.gif 20

Here, Inline graphic and Inline graphic illustrate the true and false positive values.

Experimental outcome

The performance validation of the EDLMOA-CHM model is examined under the healthcare IoT dataset25. It comprises 200 total instances under dual health status, such as unhealthy and healthy, as portrayed in Table 1. There are 13 features, but only 10 are chosen.

Figure 4 presents the correlation matrix generated by the EDLMOA-CHM approach. The outcomes state that the EDLMOA-CHM method efficiently identifies and classifies two classes.

Fig. 4.

Fig. 4

Correlation matrix of EDLMOA-CHM model.

Figure 5 displays a comprehensive set of histograms and kernel density estimation (KDE) plots for various features used in attack detection within an IoMT dataset. Each subplot contrasts distributions for two classes, likely 0 for healthy and 1 for abnormal conditions.

Fig. 5.

Fig. 5

Histogram and KDE outcome of EDLMOA-CHM model.

Figure 6 illustrates the confusion matrices generated by the EDLMOA-CHM approach across various epochs. The results imply that the EDLMOA-CHM technique accurately detects and classifies healthy and unhealthy classes.

Fig. 6.

Fig. 6

Confusion matrices of EDLMOA-CHM technique (a-f), Epochs 500–3000.

The health monitoring detection of EDLMOA-CHM approach is verified under different epochs in Table 2; Fig. 7. On 500 epochs, the EDLMOA-CHM approach achieves an average Inline graphic, Inline graphic, Inline graphic, Inline graphic, Inline graphic, and Inline graphic of 95.93%, 95.93%, 95.93%, 95.93%, 95.93% and 91.86%, respectively. Moreover, for 1500 epochs, the EDLMOA-CHM approach achieves an average Inline graphic, Inline graphic, Inline graphic, Inline graphic, Inline graphic, and Inline graphic of 97.66%, 97.32%, 97.66%, 97.66%, 97.47%, and 94.98%, respectively. Also, for 2500 epochs, the EDLMOA-CHM approach achieves an average Inline graphic, Inline graphic, Inline graphic, Inline graphic, Inline graphic, and Inline graphic of 98.67%, 98.33%, 98.67%, 98.67%, 98.48% and 97.01%, respectively. In addition, for 3000 epochs, the EDLMOA-CHM model achieves an average Inline graphic, Inline graphic, Inline graphic, Inline graphic, Inline graphic, and Inline graphic of 99.56%, 99.43%, 99.56%, 99.56%, 99.49%, and 98.99%, respectively.

Table 2.

Health monitoring recognition of EDLMOA-CHM model under distinct epochs.

Classes Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic
Epoch − 500
 Unhealthy 96.46 96.46 96.46 95.40 96.46 91.86
 Healthy 95.40 95.40 95.40 96.46 95.40 91.86
 Average 95.93 95.93 95.93 95.93 95.93 91.86
Epoch − 1000
 Unhealthy 96.46 97.32 96.46 96.55 96.89 92.89
 Healthy 96.55 95.45 96.55 96.46 96.00 92.89
 Average 96.51 96.39 96.51 96.51 96.44 92.89
Epoch − 1500
 Unhealthy 96.46 99.09 96.46 98.85 97.76 94.98
 Healthy 98.85 95.56 98.85 96.46 97.18 94.98
 Average 97.66 97.32 97.66 97.66 97.47 94.98
Epoch − 2000
 Unhealthy 96.46 100.00 96.46 100.00 98.20 96.03
 Healthy 100.00 95.60 100.00 96.46 97.75 96.03
 Average 98.23 97.80 98.23 98.23 97.98 96.03
Epoch − 2500
 Unhealthy 97.35 100.00 97.35 100.00 98.65 97.01
 Healthy 100.00 96.67 100.00 97.35 98.31 97.01
 Average 98.67 98.33 98.67 98.67 98.48 97.01
Epoch − 3000
 Unhealthy 99.12 100.00 99.12 100.00 99.56 98.99
 Healthy 100.00 98.86 100.00 99.12 99.43 98.99
 Average 99.56 99.43 99.56 99.56 99.49 98.99

Fig. 7.

Fig. 7

Average values of EDLMOA-CHM technique (a-f), Epochs 500–3000.

In Fig. 8, the training (TRNG) Inline graphic and validation (VALID) Inline graphic outcomes of the EDLMOA-CHM method under Epoch 3000 are shown. The figure emphasized that both Inline graphic values display an increasing trend, indicating the EDLMOA-CHM approach’s efficiency with upgraded performance across numerous iterations. Moreover, both Inline graphic remain close to the epochs, specifying marginal overfitting and demonstrating the EDLMOA-CHM approach’s boosted efficiency.

Fig. 8.

Fig. 8

Inline graphic curve of EDLMOA-CHM method under Epoch 3000.

In Fig. 9, the TRNG loss and VALID loss graphs for the EDLMOA-CHM methodology are presented at Epoch 3000. It is indicated that both values exhibit a falling trend, reflecting the effectiveness of the EDLMOA-CHM approach in stabilizing the trade-off. The persistent fall further confirms the EDLMOA-CHM approach’s enhanced performance.

Fig. 9.

Fig. 9

Loss curve of EDLMOA-CHM method under Epoch 3000.

In Fig. 10, the precision-recall (PR) curve investigation of the EDLMOA-CHM approach, conducted under Epoch 3000, provides insight into its performance by mapping Precision against Recall for each class. The figure demonstrates that the EDLMOA-CHM technique consistently achieves elevated PR values across various classes, indicating its ability to retain a significant proportion of true positive predictions among all positive predictions (precision), while also capturing a substantial portion of actual positives (recall). The stable increase in PR values across all classes demonstrates the efficacy of the EDLMOA-CHM approach during the classification step.

Fig. 10.

Fig. 10

PR curve of EDLMOA-CHM method under Epoch 3000.

In Fig. 11, the ROC curve of the EDLMOA-CHM approach is studied under Epoch 3000. The outcomes indicate that the EDLMOA-CHM methodology achieves improved ROC values across all classes, demonstrating significant skill in distinguishing between them. This consistent pattern of superior ROC values across numerous classes indicates the skilful performance of the EDLMOA-CHM methodology in forecasting classes, highlighting its strong nature in the classification process.

Fig. 11.

Fig. 11

ROC curve of EDLMOA-CHM method under Epoch 3000.

Table 3 presents a comparative analysis of the EDLMOA-CHM approach with existing methods across several key measures.

Table 3.

Comparative analysis of EDLMOA-CHM model with existing approaches.

Approach Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic
Traditional FL 85.82 89.76 90.28 83.40 95.38
BC HER 89.00 80.06 95.63 84.57 85.04
DT 77.78 85.33 97.89 79.02 84.52
NB 81.20 86.86 86.62 98.26 85.80
MLP 81.20 96.87 93.87 98.80 87.23
K-means 75.00 92.13 91.65 84.16 81.85
CLSTM 97.50 95.53 98.44 97.23 92.15
EDLMOA-CHM 99.56 99.43 99.56 99.56 99.49

Figure 12 illustrates the simulation results of the EDLMOA-CHM method with the present approaches under Inline graphic, andInline graphic26–28. Under Inline graphic, the EDLMOA-CHM method has greater Inline graphic of 99.56%. In contrast, the Traditional FL, BC HER, decision tree (DT), naïve bayes (NB), MLP, K-means, and CLSTM methodologies have achieved low Inline graphic of 85.82%, 89.00%, 77.78%, 81.20%, 81.20%, 75.00%, and 97.50%, correspondingly. Moreover, for Inline graphic, the EDLMOA-CHM method attained a greater Inline graphic of 99.49%, whereas the Traditional FL, BC HER, DT, NB, MLP, K-means, and CLSTM methodologies attained low Inline graphic of 95.38%, 85.04%, 84.52%, 85.80%, 87.23%, 81.85%, and 92.15%, correspondingly.

Fig. 12.

Fig. 12

Inline graphic, andInline graphic outcome of EDLMOA-CHM model with existing approaches.

Figure 13 depicts Inline graphic and Inline graphic results of the EDLMOA-CHM method using existing models. UnderInline graphic, the EDLMOA-CHM approach has a higher Inline graphic of 99.56%, while the Traditional FL, BC HER, DT, NB, MLP, K-means, and CLSTM techniques have obtained a lower Inline graphic of 90.28%, 95.63%, 97.89%, 86.62%, 93.87%, 91.65%, and 98.44%, respectively. Moreover, based on Inline graphicthe EDLMOA-CHM model has the highest Inline graphic of 99.56% however, the Traditional FL, BC HER, DT, NB, MLP, K-means, and CLSTM methodologies have the leastInline graphic of 83.40%, 84.57%, 79.02%, 98.26%, 98.80%, 84.16%, and 97.23%, correspondingly.

Fig. 13.

Fig. 13

Inline graphic and Inline graphic outcome of EDLMOA-CHM model with existing approaches.

In Table 4; Fig. 14, the computation time (CT) of the EDLMOA-CHM approach is compared with that of existing methods. The EDLMOA-CHM approach achieves a lower CT of 6.98 s while the Traditional FL, BC HER, DT, NB, MLP, K-means, and CLSTM approaches attained higher CT of 12.46 s, 24.42 s, 16.21 s, 22.58 s, 11.55 s, 21.46 s, and 11.08 s, respectively.

Table 4.

CT outcome of EDLMOA-CHM technique with existing methods.

Approach CT (sec)
Traditional FL 12.46
BC HER 24.42
DT 16.21
NB 22.58
MLP 11.55
K-means 21.46
CLSTM 11.08
EDLMOA-CHM 6.98

Fig. 14.

Fig. 14

CT outcome of EDLMOA-CHM technique with existing methods.

Conclusion

In this paper, the EDLMOA-CHM technique is proposed. The EDLMOA-CHM technique aims to develop and evaluate suitable methods for monitoring health conditions in the IoMT, thereby enhancing the healthcare system and improving patient safety. Initially, the Z-score normalization method is employed in the data pre-processing phase to clean, transform, and organize raw data into an appropriate format. For the feature selection process, the BGWO model is employed to identify the most suitable features in a dataset. Afterwards, the ensemble models, namely TCN, the attention-based BiGRU, and HDBN, are used for the classification process. To further optimize model performance, the POA is utilized for hyperparameter tuning to ensure that the optimum hyperparameters are selected for enhanced accuracy. To demonstrate the improved performance of the EDLMOA-CHM model, a comprehensive experimental analysis is conducted using the healthcare IoT dataset. The comparison analysis of the EDLMOA-CHM model demonstrated a superior accuracy value of 99.56% over existing techniques.

Author contributions

Conceptualization, Data curation and Formal analysis, Investigation and Methodology, Funding Support, Project administration and Resources, Supervision, Validation and Visualization, Writing—original draft: Mai Alduailij.

Data availability

The data that support the findings of this study are openly available in the Kaggle repository at https://www.kaggle.com/datasets/ziya07/healthcare-iot-data, reference number25.

Competing interests

The authors declare no competing interests.

Ethics approval

This article does not contain any studies with human participants performed by any of the authors.

Footnotes

Publisher’s note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

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Associated Data

This section collects any data citations, data availability statements, or supplementary materials included in this article.

Data Availability Statement

The data that support the findings of this study are openly available in the Kaggle repository at https://www.kaggle.com/datasets/ziya07/healthcare-iot-data, reference number25.


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