A Hybrid Approach based on PSO and Boosting Technique for Data Modeling in Sensor Networks
الموضوعات :
hadi shakibian
1
,
Jalaledin Nasiri
2
1 - Department of Computer Engineering, Faculty of Engineering, Alzahra University, Tehran, Iran
2 - Department of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran
الکلمات المفتاحية: Wireless sensor network, Distributed optimization, Particle swarm optimization, Regression, Boosting,
ملخص المقالة :
An efficient data aggregation approach in wireless sensor networks (WSNs) is to abstract the network data into a model. In this regard, regression modeling has been addressed in many studies recently. If the limited characteristics of the sensor nodes are omitted from consideration, a common regression technique could be employed after transmitting all the network data from the sensor nodes to the fusion center. However, it is not practical nor efferent. To overcome this issue, several distributed methods have been proposed in WSNs where the regression problem has been formulated as an optimization based data modeling problem. Although they are more energy efficient than the centralized method, the latency and prediction accuracy needs to be improved even further. In this paper, a new approach is proposed based on the particle swarm optimization (PSO) algorithm. Assuming a clustered network, firstly, the PSO algorithm is employed asynchronously to learn the network model of each cluster. In this step, every cluster model is learnt based on the size and data pattern of the cluster. Afterwards, the boosting technique is applied to achieve a better accuracy. The experimental results show that the proposed asynchronous distributed PSO brings up to 48% reduction in energy consumption. Moreover, the boosted model improves the prediction accuracy about 9% on the average.
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http://jist.acecr.org ISSN 2322-1437 / EISSN:2345-2773 |
Journal of Information Systems and Telecommunication
|
A Hybrid Approach based on PSO and Boosting Technique for Data Modeling in Sensor Networks |
Hadi Shakibian1*, Jalal A. Nasiri2
|
1. Department of Computer Engineering, Faculty of Engineering, Alzahra University, Tehran, Iran 2. Department of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran |
Received: 14 Jul 2021/ Revised: 04 Dec 2021/ Accepted: 29 Jan 2022 |
|
Abstract
An efficient data aggregation approach in wireless sensor networks (WSNs) is to abstract the network data into a model. In this regard, regression modeling has been addressed in many studies recently. If the limited characteristics of the sensor nodes are omitted from consideration, a common regression technique could be employed after transmitting all the network data from the sensor nodes to the fusion center. However, it is not practical nor efferent. To overcome this issue, several distributed methods have been proposed in WSNs where the regression problem has been formulated as an optimization based data modeling problem. Although they are more energy efficient than the centralized method, the latency and prediction accuracy needs to be improved even further. In this paper, a new approach is proposed based on the particle swarm optimization (PSO) algorithm. Assuming a clustered network, firstly, the PSO algorithm is employed asynchronously to learn the network model of each cluster. In this step, every cluster model is learnt based on the size and data pattern of the cluster. Afterwards, the boosting technique is applied to achieve a better accuracy. The experimental results show that the proposed asynchronous distributed PSO brings up to 48% reduction in energy consumption. Moreover, the boosted model improves the prediction accuracy about 9% on the average.
Keywords: Wireless sensor network; Distributed optimization; Particle swarm optimization; Regression; Boosting.
1- Introduction
In wireless sensor networks (WSNs), keeping massive ongoing data is an expensive task due to the limited power supply and capacity of the sensor nodes. Moreover, this data is expected to be analyzed in order to extract more useful information about the phenomenon of interest. In this regard, regression modelling has been addressed as an efficient approach for abstracting [1], [2] and analyzing the network data [3], [4].
Distributed data and limited characteristics of the sensor nodes impose major challenges on performing regression over WSNs. A naive simple solution is to gather all the network data in the fusion center and obtain the network regressor using a well-known technique [5], [6]. Although a high accuracy is achieved, a huge data transmission from the sensor nodes to the fusion center is needed which makes this solution inapplicable, especially when the network grows in size.
To overcome both the communication and the computation constraints of the sensor nodes, several
Learning/optimization algorithms have been proposed in many research papers.
A distributed sub-gradient algorithm with uncoordinated dynamic step sizes has been proposed for multi-agent convex optimization problems [7]. In this algorithm, each agent 
can utilize its estimation of the local function value. Theoretical analysis show all the agents reach a consensus on the optimal solution. The gradient methods have also been studied by [8], [9], [10] over a network with communication constraints.
In [11], the information theoretic optimality of the distributed learning algorithms has been addressed in which each node is given i.i.d. samples and sends an abstracted function of the observed samples to a central node for decision making.
The use of machine learning algorithms in clustered WSNs has been studied by [12] in order to decrease data communications and make use of the features of WSNs. Different applications of machine learning algorithms in the context of WSNs has been recently reviewed by [13], [14], [15].
A kernel regression algorithm has been introduced in [16] to predict a signal 
defined over the 
network nodes with a series of 
regularly sampled data points. A Laplace approximation is proposed to provide a lower bound for the marginal out-of-sample prediction uncertainty to address the large problems.
Logistic regression fusion rule (LRFR) has been proposed in [17] in which the coefficients of the LRFR is learnt at first, and then, it is used to make a global decision about the presence/absence of the target.
In [18], a quantized communication based distributed online regression algorithm has been proposed. Also, a distributed quantile regression algorithm has been proposed by [19], where, each node estimates the global parameter vector of a linear regression model by employing its local data as well as collaboration with the other nodes. Due to the sparsity of numerous natural and artificial systems, they have introduced 
distributed quantile regression algorithm to exploit the sparsity and consequently to improve the performance of the method.
An energy-efficient distributed learning framework has been proposed using the quantized signals in the context of IoT networks [20], [21]. This is a recursive least-squares algorithm that learns the parameters using low-bit quantized signals and requires low computational cost.
Some distributed learning algorithms have also been suggested based on linear and polynomial regression models [22], [23].
On the other hand, several distributed regression models have been proposed in WSNs in which the learning problem is formulated as an optimization task [24]. To solve it, Incremental Gradient (IG) algorithm has been proposed in which the parameter to be estimated is circulated through the network. Along the way, each sensor node adjusts the parameter by performing a sub-gradient [25] based on its own local data set. Increasing the network cycles, the accuracy might be improved. In [26], IG has been proposed with the addition of quantization technique which can be used in the presence of low bandwidth to reduce the bits of transmitted data. In [27], a cluster-based version of IG has been developed. It brings a better energy efficiency and robustness. Incremental Nelder-Mead Simplex (IS) has been proposed in [28] and [29] with the addition of boosting and re-sampling techniques, respectively. They introduce a better accuracy and convergence rate.
In [30] a new evolutionary based approach has been proposed based on the PSO algorithm, denoted as Distributed PSO (DP). In DP, the network is partitioned into a number of clusters, dedicating a swarm of particles for which. Then the regressor of each cluster is trained by employing PSO algorithm distributively within the cluster. The final model is obtained after combining the clusters models by the fusion center. This approach obtains a model closer to the centralized case, and decreases the latency significantly. However, its synchronous processes are in contrast with autonomous nature of WSNs. In addition, different clusters have their own cluster size and data pattern which are not taken into account by DP.
IVeP [31] is another PSO based distributed approach that learns the network regression model using a multi-objective optimization technique. They employ VEPSO model to perform the optimization task through inter- and intra-cluster cycles. The results show high prediction accuracy with moderate energy consumption.
In this paper, a modified version of DP algorithm is proposed that can simultaneously decrease the communication overheads as well as improves the final prediction accuracy. Firstly, Asynchronous DP (ADP), has been proposed by defining a diversity threshold for the particles within each cluster swarm. As a result, each cluster regressor is learned regardless of the status of the other clusters. Defining diversity thresholds, the number of transmissions is reduced. However the final accuracy might be decreased on the other hand. In this regard, Boosted ADP (BADP) has been introduced which boosts the clusters regressors and keeps the overall accuracy in high. The proposed algorithms have been compared with IG- and IS-based algorithms as well as IVeP and centralized approaches in terms of the accuracy, latency, and communication cost. The results show that ADP and BADP bring the lowest latency. Moreover, thanks to the boosting technique, BADP learns a model closer to the centralized approach while the communication cost still remains considerably acceptable. The contributions of this paper are:
· Asynchronous DP algorithm is proposed in which in-cluster optimization is performed asynchronously based on the size and data patterns of the cluster. While this is in accordance to the autonomous operations of the sensor networks, it brings more energy efficiency.
· The obtained model by ADP is boosted to improve the overall accuracy even further. Accordingly, Boosted ADP algorithm is proposed that obtains a high accurate network model and closer to the centralized approach with quite acceptable communication requirements.
The rest of this paper is organized as follows. Distributed regression problem is formally stated in section 2. The proposed approach is introduced in section 3. Evaluation and experimental results are discussed in section 4 and the last section is concluding remarks.
2- Distributed Regression in WSNs
Consider a sensor network with 
nodes and 
measurements per node spatially distributed in an area. Every sensor node is expected to capture the phenomenon of interest in pre-defined time intervals [32]. Each measurement is stored as a record as:
in which (
) denotes to the -th node's location, 
is epoch number, and 
is the captured measurement. Now, considering
as the feature space and:
as the labels, the aim of the parametric regression is to learn the coefficients of the mapping function 
, i.e. 
, such that the RMS error be minimized:
(1)
Throughout this paper the following assumptions will be held:
· The learning process starts by disseminating a query from the fusion center to cluster heads.
· Every sensor node can localize itself by executing a well-known localization algorithm [33], [34].
· Since clustering is not the subject of this paper, it is assumed that the network is partitioned into 
clusters via a well know clustering algorithm [35], [36], designating a cluster head for each cluster, 
, …, 
.
· The member nodes belonging to the cluster 
are denotes as {
} where 
is the size of the cluster.
· The local data set of 
, cluster data , and global network data are denoted as
,
, and 
, respectively.
· The 
denotes the size of the parameter under estimate.
Table 1 shows the Nomenclature used in this study.
Table 1. Nomenclature used in this study.
Symbol | Definition | |||||||||||||||||||||||||||
| Number of sensor nodes | |||||||||||||||||||||||||||
| Number of sensor measurements | |||||||||||||||||||||||||||
| Number of clusters | |||||||||||||||||||||||||||
| Cluster head j | |||||||||||||||||||||||||||
| Sensor node i in cluster j | |||||||||||||||||||||||||||
| The local data of | |||||||||||||||||||||||||||
| The cluster data j | |||||||||||||||||||||||||||
| The global(network) data | |||||||||||||||||||||||||||
| The cluster regression model j | |||||||||||||||||||||||||||
| The network regression model | |||||||||||||||||||||||||||
| The feature space | |||||||||||||||||||||||||||
| The swarm size | |||||||||||||||||||||||||||
| The problem dimensionality | |||||||||||||||||||||||||||
| The diversity of swarm j | |||||||||||||||||||||||||||
| The dimension d of particle i | |||||||||||||||||||||||||||
| The weight of the local repressor of |
Algorithm 1: Distributed PSO (DP) [13] | ||||||||||||||||||||||||||||
Fusion Center disseminates the desired model for each cluster data_view_unification() parameters_initialization() for for each cluster node i do
end for end for end for The fusion center obtains
3-1- Asynchronous DP (ADP) The major drawback of DP is that the migration steps should be synchronized for all clusters. In more words, the particles of a particular cluster might be converged before the final migration, while more migration steps might be required in another cluster. This is because different clusters have different data patterns and cluster size. By eliminating the extra migrations inside the converged clusters, the energy consumption is reduced. Furthermore, the synchronized clusters are in contrast with the autonomous nature of WSNs. To resolve these issues, asynchronous DP (ADP) is introduced in this section. Attractive and Repulsive PSO, called as ARPSO, is a variant of PSO model in which the particles can switch between two phases [37], [38]. This approach is based on the diversity guided evolutionary algorithm (DGEA) developed by [39]. In ARPSO, the particles obey from the diversity of the swarm to alternate between an attraction and repulsion phases to make a proper exploitation-exploration tradeoff. Accordingly, the swarm diversity is defined as:
where
Although ARPSO was originally applied to one swarm, nothing prevents its application to sub-swarms [40]. The diversity equation in ARPSO has been adopted in ADP for measuring the diversity of the clusters swarms. In cluster
where:
If the diversity (Eq. 4) be greater than a threshold 3-2- Boosted ADP (BADP) Defining smaller thresholds, the quality of the clusters models are expected to be increased in ADP algorithm. However, it brings more communication cost. In this regard, in order to keep both energy efficiency and high accuracy, a boosting technique is applied on ADP inspiring from [28]. In Boosted ADP (BADP) algorithm, firstly, the clusters regressors are obtained using a diversity threshold, as explained in ADP. Then, each cluster model is boosted before transmitting to the fusion center. To do this, within the cluster
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