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The structure of RBM

The structure of RBM

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In an intelligent transportation system, accurate bus information is vital for passengers to schedule their departure time and make reasonable route choice. In this paper, an improved deep belief network (DBN) is proposed to predict the bus travel time. By using Gaussian–Bernoulli restricted Boltzmann machines to construct a DBN, we update the clas...

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... The majority of research in this area has centered on specific bus lines and one-step regression models (i.e., next-stop delay prediction) utilizing realtime bus data (Tiong et al. 2023). Commonly, the models are utilized for proactive realtime management of bus routes based on external information (e.g., temporal, weather) (Achar et al. 2019;Zhang et al. 2021;Zhou et al. 2022;Ma et al. 2019;Rodriguez-Deniz and Villani 2022;Huang et al. 2021;Chen et al. 2020). Limited research has been conducted on the reliability of bus services from a network-level perspective. ...
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To effectively manage and control public transport operations, understanding the various factors that impact bus arrival delays is crucial. However, limited research has focused on a comprehensive analysis of bus delay factors, often relying on single-step delay prediction models that are unable to account for the heterogeneous impacts of spatiotemporal factors along the bus route. To analyze the heterogeneous impact of bus arrival delay factors, the paper proposes a set of regression equations conditional on the bus location. A seemingly unrelated regression equation (SURE) model is developed to estimate the regression coefficients, accounting for potential correlations between regression residuals caused by shared unobserved factors among equations. The model is validated using bus operations data from Stockholm, Sweden. The results highlight the importance of developing stop-specific bus arrival delay models to understand the heterogeneous impact of explanatory variables. The significant factors impacting bus arrival delays are primarily associated with bus operations, such as delays at consecutive upstream stops, dwell time, scheduled travel time, recurrent congestion, and current traffic conditions. Factors like the calendar and weather have significant but marginal impacts on arrival delays. The study suggests that different bus operating management strategies, such as schedule adjustments, route optimization, and real-time monitoring and control, should be tailored to the characteristics of stop sections since the impacts of these factors vary depending on the stop location.
... This enables the technique to maintain iterative representation of attributes, which makes DBN a suitable tool for providing network security, reliable and high accuracy prediction of intelligent vehicles drivers' emotions and travel time in 5G/6G-enabled IoV environments. Additionally, study has shown that up to 51% of blockchain attacks in emerging vehicular networks can be prevented with the aid of DBN techniques with regards to the reduction of the delivery time of intelligent vehicular packet transmissions and blockchain puzzle computation time, as well as in the identification of trusted and malicious intelligent mobile stations [48]. ...
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... Researchers have used deep learning methods to build subway station passenger flow prediction models, including back propagation (BP) networks [37], convolutional neural networks (CNNs) [38], and LSTM networks [39]. Chen et al. used the travel time of passenger flow as the research object and employed a BP neural network to forecast the travel time of passengers [40]. Zhang et al. [41] used an LSTM network for prediction and then employed a CNN to build a prediction model for the subway [42]. ...
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... The InterQuartile Range (IQR) was introduced in [63] to estimate the travel time variation. The performance achieved by this approach effectively maximizes the efficiency of the public transport system. ...
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... Using historical or real-time data, multiple prediction methods and mechanisms have been developed to predict bus travel time. These methods can be categorized into statistical methods [8][9][10], machine learning methods [11][12][13][14], and neural network methods [1,5,7,15,16]. Statistical methods can be separated into historical average methods, regression methods and time-series methods [7]. ...
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... The ITS passengers require accurate information regarding bus departure/arrival time to reasonably schedule the passenger's departure time and route. By considering this, in Chen et al., 32 an improved deep belief network (DBN) was introduced for predicting the bus travel time. In this method, the Gaussian-Bernoulli-based RBM was introduced in DBN for modeling the continuous data. ...
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... Since the model parameters are determined by the collected data and not a predetermined distribution, they require a larger amount of data than many other approaches [34]. Non-parametric methods include Support Vector Regression (SVR) [35][36][37][38], the Nearest Neighborhood model [39,40], and deep-learning based models [18,27,34,[41][42][43][44][45][46][47][48][49][50][51][52][53][54][55][56][57][58][59]. In the following subsection, different deep learning-based models are reviewed. ...
... Table 1 provides a comprehensive review of the studies predicting the travel time using deep learning models. Deep learning models approach problems through the learning of a very large amount of data, so the GPS trajectories of vehicles with a relatively huge number of data were used to predict travel time [18,27,34,42,43,[45][46][47][48][49][50][51][52][53][54][55][56][57][58][59]. Additionally, since trajectory data contains vehicle location information in chronological order, specialized long short-term memory (LSTM) models for sequence-based classification or for solving regression problems have been widely used [18,27,34,[41][42][43][44][45][46][47][48][49][50][51][52][53][54][55][56][57]. ...
... Additionally, since trajectory data contains vehicle location information in chronological order, specialized long short-term memory (LSTM) models for sequence-based classification or for solving regression problems have been widely used [18,27,34,[41][42][43][44][45][46][47][48][49][50][51][52][53][54][55][56][57]. Link TT Taxi trajectories LSTM - [43] Route TT Taxi trajectories LSTM - [27] TT between bus stops AVL LSTM - [34] TT between bus stops AVL LSTM Weather, intersections [44] Link TT Vehicle passage records CNN + LSTM - [45] Route TT Taxi trajectories MLP + LSTM Weather, driver rider vehicle Profile, traffic restriction [46] Route TT Taxi trajectories CNN + LSTM Weather, driver profile [47,48] Route TT Taxi trajectories CNN + LSTM - [51] Route TT Vehicle passage records Graph attention + CNN - [52] Route TT Taxi [56] Route TT Taxi trajectories GCN + LSTM - [18] TT between bus stops AVL CNN + LSTM - [57] TT between bus stops AVL LSTM + ANN - [58] Link TT Taxi trajectories Denoising auto-encoder Road segment, contextual features [59] TT between bus stops AVL DBN -1 TT means travel time. ...
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With the abundance of public transportation in highly urbanized areas, it is common for passengers to make inefficient or flawed transport decisions due to a lack of information. The exact arrival time of a bus is an example of such information that can aid passengers in making better decisions. The purpose of this study is to provide a method for predicting path-based bus travel time, thereby assisting accurate bus arrival and departure time predictions at each bus stop. Specifically, we develop a Geo-conv Long Short-term Memory (LSTM) model that (1) extracts subsequent spatial features through a 1D Convolution Neural Network (CNN) for the entire bus travel sequence and (2) captures the temporal dependencies between subsequences through the LSTM network. Additionally, this study utilizes additional variables that affect two components of bus travel time (dwelling time and transit time) to precisely predict travel time. The constructed model is then evaluated by the practical application to two bus lines operating in Seoul, Korea. The results show that our model outperforms three other baseline models. Two bus lines with different types of operation show different model performance patterns that are dependent on travel distance. Interestingly, we find that the variable related to the link of the stop location appears to play an important role in predicting bus travel time. We believe that these novel findings will contribute to the literature on transportation and, in particular, on deep learning-based travel time prediction.
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... AutoRegressive Integrated Moving Average (ARIMA) [14] [15] [11] [16], authors have attempted to predict the bus arrival time at Houston, Texas using Historic averages like a model and Artificial Neural Network (ANN) model, and compared the accuracy of models to conclude that the neural network model performed better than the other models. Authors in [17] have proposed a Deep Belief Network (DBN) model to forecasts the arrival time of buses and compared its performance against the basic models such as k-NN, ANN, SVM, and random forests, and the DBN performance showed superior results. ...
... Tan et al. [67] introduced two DBNs, one having Gaussian visible units and hidden binary units and the remaining units being binary, with results showing an improvement in the accuracy, but less robust nonetheless. Chen et al. [68] combined a DBN with Gaussian-Bernoulli restricted Boltzmann machines and a BPNN to improve the accuracy further, but robustness was still a concern. To enhance the prediction accuracy and robustness, Koesdwiady et al. [69] correlated weather parameters and traffic flow by employing a decision-level data fusion scheme. ...
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