Jellyfish Search Optimization with Deep Learning Driven Autism Spectrum Disorder Classification

1  Introduction

Autism spectrum disorders (ASD) denote a set of intricate neurodevelopmental ailments of the brain like childhood disintegrative ailments, Asperger’s disorder, and autism that is, termed as “spectrum” has an extensive array of levels of severity and indications [1]. The initial indications of ASD repeatedly arise in the initial year of life and might embrace eye contact deficiency, indifference to caregivers, and absence of response to name calling. A minor number of children seem to progress usually in the initial year, followed by show symptoms of autism amongst 18 to 24 month of age [2], involving confined and recurrent paradigms of conduct, a fine range of activities and interests, and frail linguistic skills. Such disorders influence what way a person socializes and perceives other persons, children might unexpectedly turn aggressive or introverted in the first 5 years of life because they encounter complexities in communicating and interacting with the community. Whereas ASD occurs in childhood stage, it leans towards perseverance into adulthood and adolescence [3].

Identifying and diagnosing ASD at the initial level becomes very critical as it aids in alleviating or decreasing the indications to some extent, therefore enhancing the entire value of life for the person. But, due to the gaps amongst diagnosis and early concern, a much more valued period is lost because this ailment stays unrecognized [4,5]. Machine Learning (ML) techniques, not just aid in assessing the hazard of ASD in a rapid and precise way, but it further necessary to rationalize the entire analysis procedure and benefit families contact the needed treatments quicker [6]. The higher occurrence rate and heterogeneous character of ASD have resulted in few authors converting to ML than old statistical methodologies for data investigation [7]. Even though doctors utilize standardized diagnostic apparatuses for ASD diagnostics, one such disadvantage of the methodology is managing diagnostic apparatuses needs a great volume of period for conducting the valuation to infer the scores [8,9]. A solution to this issue is an intellectual methodology of ML was suggested. The main goal of ML study for ASD prognosis minimizing diagnostic period having better accuracy. By diminishing diagnostic time, patients having ASD could get instant intervention [10]. One more goal of the ML technique is recognizing the supreme ranked ASD structures by lessening the dimensionality of the particular input dataset.

Omar et al. [11] enhanced a powerful predictive method related ML algorithm and designed a mobile application to forecast the ASD. The autism predictive technique has been proposed by integrating the Random Forest-Id3 (Iterative Dichotomiser 3) and Random Forest-CART (Classification and Regression Trees). Over the past decade, the researchers in [12] presented a current analysis of ML study for the detection of ASD according to the (a) functional MRI, (b) hybrid imaging techniques, and (c) structural magnetic resonance image (MRI). The outcome of the study using a massive amount of contributors is generally lesser when compared to those with lower contributors resulting in a conclusion that additionally needed largescale research.

The authors in [13], suggested an ML approach that merges behavioral data (eye fixation and facial expression) and physiological data (electroencephalography, EEG) to distinguish children with ASD. The application might enhance the diagnosis efficacy and reduces cost. Firstly, we employed an advanced feature extraction of EEG data, eye fixation, and facial expression. Following, a hybrid fusion methodology related to a weight naive Bayes method is introduced for multi-modal data fusion. Yang et al. [14] developed a practical and comprehensive analysis of ASD classifier with many conventional ML and DL models on information from the Autism Brain Imaging Data Exchange (ABIDE) repository. The aim is to examine dissimilar brain systems and define the functional connection for distinguishing among the subjects with ASD and assumed typically developing (TD). Alteneiji et al. [15] focused on utilizing ML algorithm for predicting a person with ASD indications. The objective is to forecast a person having certain ASD symptom and finds an optimal ML method for detection. Furthermore, the study focusses on making autism detection fast to provide necessary treatment at an earlier phase of child development. [16] Supports a self-injurious behavior (SIB) monitoring scheme for ASD, we estimated ML methodologies for distinguishing and detecting varied SIB categories.

This article devises a Jellyfish Search Optimization with Deep Learning Driven ASD Detection and Classification (JSODL-ASDDC) model. The proposed JSODL-ASDDC model initially performs min-max data normalization approach to scale the data into uniform range. In addition, the JSODL-ASDDC model involves JSO based feature selection (JFSO-FS) process to choose optimal feature subsets. Moreover, Bacterial Foraging Optimization (BFO) with Gated Recurrent Unit (GRU) based classification model is utilized for the recognition and classification of ASD. The experimental assessment of the JSODL-ASDDC model is investigated against distinct datasets.

The rest of the paper is organized as follows. Section 2 introduces the proposed model and Section 3 offers experimental validation. Finally, Section 4 concludes the study.

2  Materials and Methods

In this article, a new JSODL-ASDDC technique was enhanced to identify the different stages of ASD using biomedical data. The proposed JSODL-ASDDC model initially performed min-max data normalization approach to scale the data into uniform range. Followed by, the JSODL-ASDDC model executing JFSO-FS process to choose optimal feature subsets. Then, the BFO-GRU classification model is utilized for the recognition and classification of ASD. Fig. 1 portrays the overall process of JSODL-ASDDC technique.

Figure 1: Overall process of JSODL-ASDDC technique

2.1 Process Involved in JSO-FS Technique

In this work, the JSODL-ASDDC model executed JFSO-FS process to choose optimal feature subsets. JSO technique that is a novel Meta-heuristic optimization algorithm that is stimulated by the actions of jellyfish in the ocean [17]. The approach balances the initialized exploration of the searching region and the exploitation to determine the potential region in the searching area (global optimal). A time control mechanism manages the switches among the 2 stages. The control parameter of the procedure is the amount of iterations and population size. The procedure is briefly discussed in the following. Jellyfish move inside the swarm or follows ocean current. In the following, it can be mathematically expressed

trend→=1nPop∑trend→=X∗−ecμ=X∗−df(1)

trend→=X∗:−β⋅rand(0,1)⋅μ(2)

From the equation, nPop indicates the amount of jellyfish and X∗ represent the jellyfish presently with the finest position in the swarm (finest position implies optimal solution), ec indicates the factor governs the attraction, μ denotes the mean position of jellyfish and df denotes the variation among the present optimal position of the jellyfish, the mean position of jellyfish, and β>0 indicates a distribution coefficient. The novel position of jellyfish is represented as follows:

Xi(t+1)=Xi(t)+rand(0,1).(X∗β×rand(0,1)⋅μ(3)

Motion of jellyfish in swarm can be categorized as passive (type A) or active (type B). Passive motion in the swarm primarily takes place and it is formulated as follows:

Xi(t+1)=Xi(t)+Yrand(0,1).(UbLb)(4)

In Eq. (4), UbandLb denotes the upper and lower limits of searching region, correspondingly. y indicates a movement coefficient that is evaluated identical to unity. Eventually, type A movement changes into type B, active movement, in which the orientation of movement and the upgraded position of jellyfish that is taken into account as effectual exploitation of local searching region, and it is formulated by:

Direction→={Xj(t)−Xi(t)iff(Xi)≥f(Xj)Xi(t)−Xj(t)iff(Xi)<f(Xj)}(5)

In Eq. (5), f indicates an objective function of position Xi

Therefore,

Xi(t+1)=Xi(t)+Step→(6)

Here Step→=rand(0,1).Direction→.

Time control function switches among motion towards an ocean current, and motion with a jellyfish swarm. It is formulated as follows:

c(t)=|(1−tMaxiter)⋅(2.rand(0,1)−1)|(7)

when c(t)≥0.5, Jellyfsh follows ocean current otherwise moves within a swarm. As well, when rand (0,1)>(1−c(t)) exhibits passive movement otherwise exhibits Active movement. The fitness function employed in the presented JSO-FS technique is developed for balancing among the feature selection numbers in all the solution and classifier performance obtained with the chosen feature, Eq. (6) characterizes the fitness function to estimate solution.

Fitness=αγR(D)+β|R||C|(8)

Here γR(D) characterizes the classifier’s error rate of the KNN classification. |R| indicates the cardinal number of the designated set and |C| denotes the overall amount of features, α and β denote two variables respective to the significance of classifier quality and length. ∈ [1, 0] and β=1−α.

2.2 ASD Detection and Classification

Once the features are chosen, the GRU based classification model is utilized for the recognition and classification of ASD. The GRU is a variant of LSTMNN that could resolve the problem of gradient vanishing appeared in the conventional RNN [18]. The GRU method can able to learn long-term dependency dataset of sequential time and automatically determine the optimum time delay. The input of GRU is given as:

Xt=(xt−1,xt−2,…,xt−s)T(9)

In Eq. (9), xt characterizes past traffic flow dataset, for instance, speed, volume, occupancy, or density; s indicates the amount of past periods of the input dataset.

The target of GRU is to attain the predictive values of the following time steps without indicating how much time steps must be found. The elementary component of hidden neurons is the GRU memory block. They include resetting gate rt and update gate zt. The update gate deals with the hidden neuron are upgraded by a novel hidden neuron. The reset gate decides the amount of dataset in the preceding moment that must be neglected. The smallest the values of reset gate are, the further data is neglected. When the reset gate is closer to zero, the hidden neuron ignores the preceding hidden neuron and resets using the present input. The forecasted amount of GRU is iteratively evaluated as follows:

zt=σ(WzXt+UzCt−1+bz)(10)

rt=σ(WrXt+UrCt−1+br)(11)

C~t=tanh[WcXt+Uh(rtoCt−1)+bc](12)

Ct=(1−zt)∘Ct−1+zt∘C~t(13)

yt=σ(WoCt+bo)(14)

In Eq. (12), σ(.) signifies the logistic sigmoid function; ‘o’ refers to the Hadamard product of two matrices; Wz,Wr,Wc,Wo,Uz,Ur, and Uh indicates weight matrix; bz,br,bc, and bo represent bias; zt,rt,Ct−1,C~t, and Ct denotes the update, reset, the preceding hidden, a candidate hidden, and new hidden neurons, correspondingly; yt indicates the output of GRU; tanh denotes a nonlinear activation function squashes real values within [−1, 1].

2.3 BFO Based Hyperparameter Optimization

In the final stage, the BFO assisted parameter tuning process [19–21] gets executed to improve the efficacy of the GRU model. The standard BFO methodology has two significant facts [22]:

Initiation of solution space: the mapping function f(x), solving spatial dimensional D, and range are implemented.

Initiation of Bacterial: the bacteria amount was chosen using S. The position of i-th bacterium in the augmented space was represented as Pi(j,k,l) that is corresponding to optimum parameter of solution, for instance, Pi(j,k,l)=[m1,m2,…,mD].

Therefore, the fitness value of ith bacterium in an augmented space was recognized as Ji(j,k,l) which is defined by the function of bacterium location by using the subsequent formula:

Ji(j,k,l)=f(Pi(j,k,l))=fi,j,k,l(m1,m2,…,mD).(15)

From the above formula, the smaller value of function denotes maximal fitness. i indicates the ith bacterium, however j,k, and l transfer for centralized process of BFO approach: reproduction, dispersal, elimination, and chemotaxis.

2.3.1 Chemotaxis

It has a large number of flipping and swimming activities. In jth chemotaxis methodology, the movement of ith bacterium is shown in the following:

Pi(j+1,k,l)=Pi(j,k,l)+△(i)ΔT(i)Δ(i)C(i)n,(16)

However, the swimming step length of ith bacterium has separated as to individual swimming step size C(i) and the number of swimming n and (i) the vector mode of ith bacterium from p dimension optimizes space. Each component of (i) are arithmetical value lies within the interval of [−1, 1] in which the starting was set as arbitrary values. Once the ith bacterium identify maximal fitness position which presented satisfactory surroundings from jth chemotaxis. Fig. 2 depicts the flowchart of BFO technique.

Figure 2: Flowchart of BFO technique

2.3.2 Swarming

The bacteria are taken into account as attraction and repulsion. The numerical relationship was determined by the following expression:

Jcc(Pi)=∑i=1s[−dattexp(−ωatt∑m=1p(Pi,m−Pm¯)2)]+∑i=1s[hrepexp(−ωrep∑m=1p(Pi.m−Pm¯)](17)

In Eq. (17), datt characterizes the depth at concerned materials have been discharged through ith bacterium, nevertheless ωatt indicates the width of similar concerned materials. In addition, as a result, two bacteria could not be inaccurately the similar position, the repulsion was adapted by using hrep and ωrep. Following, the swarming methodology, the fitness of ith bacterium is characterized by the subsequent expression:

Ji(j+1,k,l)=Ji(j,k,l)+Jcc(Pi(j,k,l))(18)

2.3.3 Reproduction

The bacteria replication as soon as it could accomplish an improved atmosphere; or else, it will pass away. Consequently, with the swarming and chemotaxis methodologies, the fitness of bacteria was fixed and it is calculated. The fitness of ith bacterium was determined by the below equation:

Ji,health=∑j=1NcJi(j,k,l).(19)

Half of the bacteria are in improved condition Sr=(S2) is carefully chosen for persisting, however, remaining will pass away. Then, the survived bacteria reproduce for two colonies positioned in similar regions, which retain the entire amount of bacteria set S.

2.3.4 Elimination and Dispersal

Following the reproduction, each bacterium is distributed with likelihood of Ped, however, the whole number of bacteria remains unchanged. When the bacterium was far away, it is distributed arbitrarily towards the novel location.

r=random[0,1];

Pi(j, k, l)= { Pi(j,k,l)r>Ped,m1′, m2′,...mp′r<Ped.(20)

As previously mentioned in the above equation, eradication takes place then ri<Ped. The novel location of ith bacterium Pi can be substituted with the novel one Pi′=(m1′,m2′,…,mD′). Consequently, a good parameter m is upgraded for random parameter m′ that is resolved in enhanced space.

3  Results and Discussion

The simulation analysis of the JSODL-ASDDC system is tested using three datasets such as ASD-children, ASD-adolescent, and ASD-Adult datasets. Each dataset holds samples under two classes with 21 features.

Fig. 3 illustrates the FS outcome of the JSFO-FS model with other FS models on test data. The results implied the JSFO-FS model has obtained optimal best cost of 0.2937 whereas the QODF-FS, GWO-FS, PSO-FS, GA-FS, and PCA-FS models have portrayed increased best cost of 0.3127, 0.6523, 0.7891, 0.8167, and 0.9208 respectively.

Figure 3: Best cost analysis of JSFO-FS technique

Fig. 4 exemplifies the confusion matrices formed by the JSODL-ASDDC algorithm the test data. With ASD-children dataset, the JSODL-ASDDC model has identified 140 samples in Yes class and 149 samples in No class. In addition, with ASD-adult dataset, the JSODL-ASDDC algorithm has identified 176 samples in Yes class and 513 samples in No class. In line with, with ASD-adolescent dataset, the JSODL-ASDDC technique has identified 61 samples in Yes class and 41 samples in No class.

Figure 4: Confusion matrices of JSODL-ASDDC technique (a) ASD-children dataset, (b) ASD-adult dataset, and (c) ASD-adolescent dataset

Tab. 1 offers detailed classification outcomes of the JSODL-ASDDC model with three distinct datasets.

Fig. 5 portrays an overall classifier results of the JSODL-ASDDC model under ASD-children dataset on two class labels. The figure reported that the JSODL-ASDDC model has effectually recognized the samples under two classes. For instance, the JSODL-ASDDC model has identified samples under Yes class with accuy, sensy, specy, Fscore, and MCC of 98.97%, 99.29%, 98.68%, 98.94%, and 97.95% respectively. Also, the JSODL-ASDDC approach has identified samples under No class with accuy, sensy, specy, Fscore, and MCC of 98.97%, 98.68%, 99.29%, 99%, and 97.95% correspondingly.

Figure 5: Result analysis of JSODL-ASDDC technique under ASD-children dataset

Fig. 6 displays the overall classifier outcomes of the JSODL-ASDDC system under ASD-adolescent dataset on two class labels. The figure stated that the JSODL-ASDDC methodology has effectually recognized the samples under two classes. For example, the JSODL-ASDDC method has identified samples under Yes class with accuy, sensy, specy, Fscore, and MCC of 98.08%, 96.83%, 100%, 98.39%, and 96.08% correspondingly. Similarly, the JSODL-ASDDC model has identified samples under No class with accuy, sensy, specy, Fscore, and MCC of 98.08%, 100%, 96.83%, 97.62%, and 96.08% correspondingly.

Figure 6: Result analysis of JSODL-ASDDC technique under ASD-adolescent dataset

Fig. 7 represents the overall classifier results of the JSODL-ASDDC system under ASD-adult dataset on two class labels. The figure reported that the JSODL-ASDDC techniques have effectually recognized the samples under two classes. For example, the JSODL-ASDDC model has identified samples under Yes class with accuy, sensy, specy, Fscore, and MCC of 97.87%, 93.12%, 99.61%, 95.91%, and 94.55% respectively. Also, the JSODL-ASDDC approaches have identified samples under No class with accuy, sensy, specy, Fscore, and MCC of 97.87%, 99.61%, 93.12%, 98.56%, and 94.55% correspondingly.

Figure 7: Result analysis of JSODL-ASDDC technique under ASD-adult dataset

Fig. 8 provides a brief comparative study of the JSODL-ASDDC model with other models in terms of sensy [23,24]. The figure indicated that the KNN model has resulted in ineffectual outcome with least sensy of 46.16%. At the same time, the LR, NN, and SVM (linear model) have gained slightly enhanced sensy values of 56.19%, 53.98%, and 56.74%. Followed by, the QODF-DSAN model has tried to exhibit reasonable performance with sensy of 97.21%. Though the QODF-DSAN model has surpassed all the other methods, it failed to outperform the presented JSODL-ASDDC model. Among all other models, the JSODL-ASDDC model has shown maximum sensy of 98.98%.

Figure 8: Sensy analysis of JSODL-ASDDC technique with existing algorithms

Fig. 9 offers a brief comparative study of the JSODL-ASDDC algorithm with other models with respect to specy. The figure represented that the LR methodology has resulted in ineffectual outcome with least specy of 62.55%. Meanwhile, the KNN, NN, and SVM (linear model) have attained slightly enhanced specy values of 72.35%, 71.58%, and 66.70%. And then, the QODF-DSAN model has tried to exhibit reasonable performance with specy of 96.85%. Though the QODF-DSAN method has surpassed all the other methods, it failed to outperform the presented JSODL-ASDDC model. Among all other models, the JSODL-ASDDC model has shown maximal specy of 98.98%.

Figure 9: Specy analysis of JSODL-ASDDC technique with existing algorithms

Fig. 10 provides a brief comparison study of the JSODL-ASDDC system with other models in terms of accuy. The figure denoted that the KNN methodology has resulted in ineffectual outcome with least accuy of 62.21%. At the same time, the LR, NN, and SVM (linear model) have gained slightly enhanced accuy values of 59.52%, 62.24%, and 60.89%. Followed by, the QODF-DSAN model has tried to exhibit reasonable performance with accuy of 97.47%. Though the QODF-DSAN system has surpassed all the other methods, it failed to outperform the presented JSODL-ASDDC model. Among all other models, the JSODL-ASDDC method has shown maximal accuy of 98.97%. These results and analysis highlighted the improvements of the JSODL-ASDDC model over other models on ASD detection and classification.

Figure 10: Accuy analysis of JSODL-ASDDC technique with existing algorithms

4  Conclusion

In this article, a new JSODL-ASDDC algorithm was advanced to identify the different stages of ASD using biomedical data. The proposed JSODL-ASDDC model initially performed min-max data normalization approach to scale the data into uniform range. Followed by, the JSODL-ASDDC model executing JFSO-FS process to choose optimal feature subsets. Then, the BFO-GRU classification model is utilized for the recognition and classification of ASD. Furthermore, the BFO assisted parameter tuning process gets executed to advance the efficacy of the GRU algorithm. The experimental assessment of the JSODL-ASDDC methodology is investigated against distinct datasets. The experimental resultants emphasized the enhanced performance of the JSODL-ASDDC methodology over recent approaches. As a part of future extension, the performance of the JSODL-ASDDC model can be improved by ensemble voting process.

Funding Statement: The authors received no specific funding for this study.

Conflicts of Interest: The authors declare that they have no conflicts of interest to report regarding the present study.

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