Compressive strength is a basic feature of concrete, it reflects the bearing capacity of
concrete. Therefore classifying concrete compressive strength (CCS) plays a vital role. When CCS
classification accuracy is improved which will be grounded to calculating bearing capacity, deformation
of concrete and reinforced concrete structures better. The objective of this paper is to use multilayer
perceptron (MLP) model for classifying CCS. The predictive accuracy of model was compared with
several other model including support vector machine (SVM), Navie Bayes (NB) and decision tree
(DT). Analytical results showed the MLP model was superior to other comparative models for concrete
dataset. Particularly, the MLP was the best model achieving the highest results (92.524% of accuracy).
Therefore, MLP model is considered a suitable tool to classify CCS dataset.
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KỶ YẾU HỘI THẢO KHOA HỌC QUỐC GIA CITA 2020 “CNTT VÀ ỨNG DỤNG TRONG CÁC LĨNH VỰC”
Multilayer Perceptron Method of Artificial Neural Network in
Classifying Concrete Compressive Strength
Thi Phuong Trang Pham
Danang of Technology and Education, The University of Danang
trangpham3112@gmail.com
Abstract– Compressive strength is a basic feature of concrete, it reflects the bearing capacity of
concrete. Therefore classifying concrete compressive strength (CCS) plays a vital role. When CCS
classification accuracy is improved which will be grounded to calculating bearing capacity, deformation
of concrete and reinforced concrete structures better. The objective of this paper is to use multilayer
perceptron (MLP) model for classifying CCS. The predictive accuracy of model was compared with
several other model including support vector machine (SVM), Navie Bayes (NB) and decision tree
(DT). Analytical results showed the MLP model was superior to other comparative models for concrete
dataset. Particularly, the MLP was the best model achieving the highest results (92.524% of accuracy).
Therefore, MLP model is considered a suitable tool to classify CCS dataset.
Keywords: Concrete compressive strength, multilayer perceptron, support vector machine, Navie
Bayes, Decision Tree.
1 Introduction
In the field of construction nowaday, one of the common building materials that play a very important role
in the construction of infrastructure of all buildings is concrete. Concrete is widely used in the construction
of structures, foundations, pavement surfaces, bridges, roads, runways, structures in parking lots, dams
The concrete compressive strength (CCS) can be considered on of characteristics of concrete. Therefore,
there are diversity of researches study about CCS. For example, Prayog and et al applied artificial
intelligence models including Evolutionary Support Vector Machine Inference Model (ESIM) and K-means
Chaos Genetic Algorithm (KCGA) for optimizing performance concrete mix design [1], Gideon and et al
studied compressive strength of concrete produced from different brands of Portland cement [2] or
Metwally proposed model which was studied for different concrete mixes to predict compressive strength
of Portlan cement concrete with age [3].
One of the problems of classification is how to use appropriate methods to fit the model depending on
the nature of data. Nowaday, there are more and more algorithms applied to hanlde classification problem.
Artificial intelligence (AI) is currently developing at a fast pace and has made important contributions to
production, business, services and human life. AI methods can be considered as efficient tools for solving
real-world engineering problems. Many AI techniques have been applied in construction engineering and
construction management [4, 5] and they are usually used to handle prediction and classification problems.
Moreover, neural networks are the popular classification tools used in classification problem. Multilayer
perceptron (MLP) method of artificial neural network (ANN) is one of the foundational algorithms that
helps neural networks work. This algorithm was commonly used in the 1980s in machine learning. MLP
includes a series of fully interconnected layers of nodes where there are only connections between adjacent
layers [6]. MLP algorithm also was applied in various research in classification. For example, Dash et al
used MLP mothod for real‐world data classification under uncertainty [7] or Ncibi et al applied MLP based
a preprocessing and hybrid optimization task for data mining and classification [6]. Besides, Kulala et al
improved the performance of MLP model in classification by several optimization algorithms [8].
Therefore, in this study the author used MLP to classify CCS dataset. To evaluate the effectiveness of
proposed model, this model is compared with other popular AI models including support vector machine
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Thi Phuong Trang Pham
(SVM), Naïve Bayes (NB) and decision tree (DT). The predictive performances of each model are
compared in terms of accuracy, precision and sensitivity.
The rest of this paper is organized as follows. Section 2 elucidates MLP model, and performance
evaluation methods. CCS dataset and preparation dataset is presented in Section 3. Section 4 shows
analytical results and finally, the conclusions and future study directions were drawn in Section 5.
2 Methodology
2.1 Artificial Neural Network (ANN)
The concept of ANN is basically introduced from the subject of biology where neural network plays a
important and main role in people’s body [9]. The ANN consists of 3 main components, they are the input
layer and the output layer consist of only 1 layer, the hidden layer can have 1 or more layers depending on
the specific problem.
2.2 Multilayer perceptron (MLP) model
MLP is one of the most commonly used neural network architecture. A MLP is the implemnet of multiple
layers of perceptrons connected side by side, forming a simple nerve feedforward controller. The
feedforward network is a network of one or more neuron layers, in which the signal conductors only travel
in one direction from input through layers, to output, hence a MLP usually consists of three or more layers:
an input layer, one or more hidden layers and an output layer [10]. This MLP is useful in non-linear
functions that a single perceptron cannot implement. Fig.1 showed the architectural graph of MLP.
Input layer Hiden layer Output layer
Fig.1. Architecture of multilayer perceptron model.
2.3 Evaluated measurement
The performance measures that were used to assess the prediction of the proposed system including the
accuracy, precision and sensitivity. Whereas the accuracy is the most important issue to estimate the results.
Accuracy can be defined as the degree of uncertainty in a measurement with respect to an absolute
standard. The predictive accuracy of a classification algorithm is calculated as follows,
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KỶ YẾU HỘI THẢO KHOA HỌC QUỐC GIA CITA 2020 “CNTT VÀ ỨNG DỤNG TRONG CÁC LĨNH VỰC”
tp tn
Accuracy
tp fp tn fn
+
=
+ + + (1)
Whereas tp – true positive values is the number of correctly recognized class example, tn – true negative
values is the number of correctly recognized examples that do not belong to the class representing accurate
classifications, fp – false positive value is the number of examples that are either incorrectly assigned to a
class or fn – false negative value is number of examples that are not assigned to a class refers to erroneous
classifications.
Precision and sensitivity are two extended versions of accuracy. Precision measures the reproducibility
of a measurement, whereas sensitivity – also called recall – measures the completeness. Precision in Eq.
(2) is defined as the number of true positives as a proportion of the total number of true positives and false
positives that are provided by the classifier. Sensitivity in Eq. (3) is the number of correctly classified
positive examples divided by the number of positive examples in the data. In identifying positive labels,
sensitivity is useful for estimating the effectiveness of a classifier.
tp
Precision
tp fp
=
+
(2)
tp
Sensitivity
tp fn
=
+
(3)
3 Concrete compressive strength (CCS) dataset
The CCS dataset was obtained from a University of California, Irvine data repository
(https://archive.ics.uci.edu/ml/datasets/concrete+compressive+strength), including a total of 8 features –
cement, blast furnace slag, fly ash, water, superplasticizer, coarse aggregate, fine aggregate and age. The
input attibutes information of CCS dataset is showed in table 1. The output of original dataset is the value
of concrete compressive strength, the main goal of this paper is classification therefore the author will
convert these value to nomal value. Following many research classification of performance concrete based
the compressive strength of concrete has been suggested:
(a) Ordinary Concrete: CCS in the range of 10 to 20 MPa.
(b) Standard/Normal Concrete: CCS in the range of 25 to 55 MPa.
(c) High-Performance Concrete : CCS in the range of 60 to 100 MPa.
(d) Very High-Performance Concrete: CCS in the range of 100 to 150 MPa.
(e) Exceptional Concrete: CCS more than 150 MPa.
Thus, the ouput of new dataset is one of five ratings of the compressive strength of concrete.
Table 1. Statistical input attributes of CCS dataset.
Attributes Unit Minimum Maximum Average
Standard
deviation
Cement Kg/m3 102.0 540.0 281.168 104.506
Blast Furnace
Slag
Kg/m3 11.0 359.4 107.277 61.884
Fly Ash Kg/m3 24.5 200.1 83.862 39.989
Water Kg/m3 121.8 247.0 181.567 24.354
Superplasticizer Kg/m3 1.7 32.2 8.486 4.037
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Thi Phuong Trang Pham
Coarse
Aggregate
Kg/m3 801.0 972.919 77.754
Fine Aggregate Kg/m3 594.0 992.6 773.580 80.176
Age Day 1.0 365.0 45.662 63.170
4 Analytical results
Table 2 compares the performances of MLP model and other AI models using new CCS dataset. High
values indicate favorable performance and vice versa. From table 2, MLP model showed the best
performance with the highest values of accuracy, precision and sensitivity (92.524%, 91.237% and
93.014%, respectively). SVM model also yielded the quite high with 84.272% of accuracy, 84.110% of
precision and 83.717% of sensitivity. From the table 2, we can see, NB and DT models had 82.913% and
84.446% of accuracy, respectively. Fig 1, 2 and 3 respectively performed accuracy, precision and sensitivity
values of MLP and compared AI models.
Table 2. Prediction performance comparison
Model
Performance measure
Accuracy
(%)
Precision
(%)
Sensitivity
(%)
SVM 84.272 84.110 83.717
NB 82.913 82.242 81.916
DT 84.466 82.362 80.563
MLP 92.524 91.237 93.014
Fig. 2. Performance comparison of all models in term of the accuracy
84,272
82,913
84,466
92,524
75 80 85 90 95
SVM
NB
DT
MLP
Accuracy (%)
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KỶ YẾU HỘI THẢO KHOA HỌC QUỐC GIA CITA 2020 “CNTT VÀ ỨNG DỤNG TRONG CÁC LĨNH VỰC”
Fig. 3. Performance comparison of all models in term of the precision
Fig. 4. Performance comparison of all models in term of the sensitivity
5 Conclusion
In this paper, we proposed the MLP of ANN model to classifying CCS data. After that, the author compared
MLP model with other AI models with the same dataset. Three performance measures, including accuracy,
precision and sensitivity were utilized to compare the predictive performance of examined models. Overall,
the MLP was the best model for the compressive strength of concrete. Partically, it achieved the highest
values of accuracy, precision and sensitivity 92.524%, 91.237% and 93.014%, respectively.
The contribution of this paper is to improve CCS prediction. It is clear that predicting correctly CCS,
people can more accurately caculate other parameters of concrete in the future. In the following studies, the
author hopes to optimize MLP model to enhance the accuracy of model which can apply more datasets.
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Thi Phuong Trang Pham
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