[go: up one dir, main page]

 
 
Sign in to use this feature.

Years

Between: -

Subjects

remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline

Journals

remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline

Article Types

Countries / Regions

remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline

Search Results (406)

Search Parameters:
Keywords = Bayes estimation

Order results
Result details
Results per page
Select all
Export citation of selected articles as:
23 pages, 5062 KiB  
Article
Audio-Based Engine Fault Diagnosis with Wavelet, Markov Blanket, ROCKET, and Optimized Machine Learning Classifiers
by Bernardo Luis Tuleski, Cristina Keiko Yamaguchi, Stefano Frizzo Stefenon, Leandro dos Santos Coelho and Viviana Cocco Mariani
Sensors 2024, 24(22), 7316; https://doi.org/10.3390/s24227316 (registering DOI) - 15 Nov 2024
Viewed by 264
Abstract
Engine fault diagnosis is a critical task in automotive aftermarket management. Developing appropriate fault-labeled datasets can be challenging due to nonlinearity variations and divergence in feature distribution among different engine kinds or operating scenarios. To solve this task, this study experimentally measures audio [...] Read more.
Engine fault diagnosis is a critical task in automotive aftermarket management. Developing appropriate fault-labeled datasets can be challenging due to nonlinearity variations and divergence in feature distribution among different engine kinds or operating scenarios. To solve this task, this study experimentally measures audio emission signals from compression ignition engines in different vehicles, simulating injector failures, intake hose failures, and absence of failures. Based on these faults, a hybrid approach is applied to classify different conditions that help the planning and decision-making of the automobile industry. The proposed hybrid approach combines the wavelet packet transform (WPT), Markov blanket feature selection, random convolutional kernel transform (ROCKET), tree-structured Parzen estimator (TPE) for hyperparameters tuning, and ten machine learning (ML) classifiers, such as ridge regression, quadratic discriminant analysis (QDA), naive Bayes, k-nearest neighbors (k-NN), support vector machine (SVM), multilayer perceptron (MLP), random forest (RF), extra trees (ET), gradient boosting machine (GBM), and LightGBM. The audio data are broken down into sub-time series with various frequencies and resolutions using the WPT. These data are subsequently utilized as input for obtaining an informative feature subset using a Markov blanket-based selection method. This feature subset is then fed into the ROCKET method, which is paired with ML classifiers, and tuned using Optuna using the TPE approach. The generalization performance applying the proposed hybrid approach outperforms other standard ML classifiers. Full article
(This article belongs to the Section Fault Diagnosis & Sensors)
Show Figures

Figure 1

Figure 1
<p>Example of simulated failures in the vehicles: (<b>a</b>) connected injector, (<b>b</b>) injector disconnected, (<b>c</b>) intake hose connected, and (<b>d</b>) intake hose disconnected.</p>
Full article ">Figure 2
<p>Audio data collection position of the vehicles.</p>
Full article ">Figure 3
<p>Original audio signal: (<b>A</b>) normal condition; (<b>B</b>) injector off; (<b>C</b>) air intake hose off.</p>
Full article ">Figure 4
<p>Flowchart of the proposed classification approach.</p>
Full article ">Figure 5
<p>ROCKET architecture.</p>
Full article ">
26 pages, 862 KiB  
Article
Can the Plantar Pressure and Temperature Data Trend Show the Presence of Diabetes? A Comparative Study of a Variety of Machine Learning Techniques
by Eduardo A. Gerlein, Francisco Calderón, Martha Zequera-Díaz and Roozbeh Naemi
Algorithms 2024, 17(11), 519; https://doi.org/10.3390/a17110519 - 12 Nov 2024
Viewed by 430
Abstract
This study aimed to explore the potential of predicting diabetes by analyzing trends in plantar thermal and plantar pressure data, either individually or in combination, using various machine learning techniques. A total of twenty-six participants, comprising thirteen individuals diagnosed with diabetes and thirteen [...] Read more.
This study aimed to explore the potential of predicting diabetes by analyzing trends in plantar thermal and plantar pressure data, either individually or in combination, using various machine learning techniques. A total of twenty-six participants, comprising thirteen individuals diagnosed with diabetes and thirteen healthy individuals, walked along a 20 m path. In-shoe plantar pressure data were collected and the plantar temperature was measured both immediately before and after the walk. Each participant completed the trial three times, and the average data between the trials were calculated. The research was divided into three experiments: the first evaluated the correlations between the plantar pressure and temperature data; the second focused on predicting diabetes using each data type independently; and the third combined both data types and assessed the effect of such to enhance the predictive accuracy. For the experiments, 20 regression models and 16 classification algorithms were employed, and the performance was evaluated using a five-fold cross-validation strategy. The outcomes of the initial set of experiments indicated that the machine learning models were significant correlations between the thermal data and pressure estimates. This was consistent with the findings from the prior correlation analysis, which showed weak relationships between these two data modalities. However, a shift in focus towards predicting diabetes by aggregating the temperature and pressure data led to encouraging results, demonstrating the effectiveness of this approach in accurately predicting the presence of diabetes. The analysis revealed that, while several classifiers demonstrated reasonable metrics when using standalone variables, the integration of thermal and pressure data significantly improved the predictive accuracy. Specifically, when only plantar pressure data were used, the Logistic Regression model achieved the highest accuracy at 68.75%. Those predictions based solely on temperature data showed the Naive Bayes model as the lead with an accuracy of 87.5%. Notably, the highest accuracy of 93.75% was observed when both the temperature and pressure data were combined, with the Extra Trees Classifier performing the best. These results suggest that combining temperature and pressure data enhances the model’s predictive accuracy. This can indicate the importance of multimodal data integration and their potentials in diabetes prediction. Full article
(This article belongs to the Special Issue Machine Learning in Medical Signal and Image Processing (2nd Edition))
Show Figures

Figure 1

Figure 1
<p>A 25 m walkway; the designated area avoided “quick” twisting movements.</p>
Full article ">Figure 2
<p>Thermal image capture setup.</p>
Full article ">Figure 3
<p>Regions of interest on the feet were marked for thermal and pressure measurements: hallux, 1st metatarsus, 3rd metatarsus, 5th metatarsus, midfoot (proximal to 5th metatarsus apophysis), medial arch on proximal 1st metatarsus, and heel.</p>
Full article ">Figure 4
<p>Correlation index matrix representing the relationship between temperature and pressure features across different individuals. The matrix shows correlation coefficients for pressure and temperature data between the left and right feet of each individual, as well as across different individuals.</p>
Full article ">Figure 5
<p>Performance comparison between the Extra Trees Classifier and Random Forest Classifier. (<b>a</b>,<b>c</b>) display the feature importance plots, with (<b>a</b>) highlighting the Extra Trees Classifier’s focus on thermal data and (<b>c</b>) illustrating the Random Forest Classifier’s balanced consideration of both temperature and pressure features. (<b>b</b>,<b>d</b>) depict the decision boundaries for the Extra Trees Classifier and Random Forest Classifier, respectively, showing how the models classify diabetic (1) and non-diabetic (0) cases based on these features. Random Forest’s mixed use of temperature and pressure data underscores its more comprehensive approach to predicting diabetes.</p>
Full article ">
33 pages, 4186 KiB  
Article
A New Bivariate Survival Model: The Marshall-Olkin Bivariate Exponentiated Lomax Distribution with Modeling Bivariate Football Scoring Data
by Sulafah M. S. Binhimd, Zakiah I. Kalantan, Abeer A. EL-Helbawy, Gannat R. AL-Dayian, Ahlam A. M. Mahmoud, Reda M. Refaey and Mervat K. Abd Elaal
Axioms 2024, 13(11), 775; https://doi.org/10.3390/axioms13110775 - 8 Nov 2024
Viewed by 428
Abstract
This paper focuses on applying the Marshall-Olkin approach to generate a new bivariate distribution. The distribution is called the bivariate exponentiated Lomax distribution, and its marginal distribution is the exponentiated Lomax distribution. Numerous attributes are examined, including the joint reliability and hazard functions, [...] Read more.
This paper focuses on applying the Marshall-Olkin approach to generate a new bivariate distribution. The distribution is called the bivariate exponentiated Lomax distribution, and its marginal distribution is the exponentiated Lomax distribution. Numerous attributes are examined, including the joint reliability and hazard functions, the bivariate probability density function, and its marginals. The joint probability density function and joint cumulative distribution function can be stated analytically. Different contour plots of the joint probability density function and joint reliability and hazard rate functions of the bivariate exponentiated Lomax distribution are given. The unknown parameters and reliability and hazard rate functions of the bivariate exponentiated Lomax distribution are estimated using the maximum likelihood method. Also, the Bayesian technique is applied to derive the Bayes estimators and reliability and hazard rate functions of the bivariate exponentiated Lomax distribution. In addition, maximum likelihood and Bayesian two-sample prediction are considered to predict a future observation from a future sample of the bivariate exponentiated Lomax distribution. A simulation study is presented to investigate the theoretical findings derived in this paper and to evaluate the performance of the maximum likelihood and Bayes estimates and predictors. Furthermore, the real data set used in this paper comprises the scoring times from 42 American Football League matches that took place over three consecutive independent weekends in 1986. The results of utilizing the real data set approve the practicality and flexibility of the bivariate exponentiated Lomax distribution in real-world situations, and the bivariate exponentiated Lomax distribution is suitable for modeling this bivariate data set. Full article
(This article belongs to the Special Issue Applications of Bayesian Methods in Statistical Analysis)
Show Figures

Figure 1

Figure 1
<p>Different plots of the joint pdf of the MOBEL distribution: (<bold>1.a</bold>) <inline-formula><mml:math id="mm297"><mml:semantics><mml:mrow><mml:mo> </mml:mo><mml:mo>(</mml:mo><mml:mi>α</mml:mi><mml:mo>=</mml:mo><mml:mn>0.25</mml:mn><mml:mo>,</mml:mo><mml:mo> </mml:mo><mml:msub><mml:mrow><mml:mi>β</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mo> </mml:mo><mml:msub><mml:mrow><mml:mi>β</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mo> </mml:mo><mml:msub><mml:mrow><mml:mi>β</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:semantics></mml:math></inline-formula>, (<bold>1.b</bold>) <inline-formula><mml:math id="mm34"><mml:semantics><mml:mrow><mml:mo> </mml:mo><mml:mo>(</mml:mo><mml:mi>α</mml:mi><mml:mo>=</mml:mo><mml:mn>0.5</mml:mn><mml:mo>,</mml:mo><mml:mo> </mml:mo><mml:msub><mml:mrow><mml:mi>β</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>1.5</mml:mn><mml:mo>,</mml:mo><mml:mo> </mml:mo><mml:msub><mml:mrow><mml:mi>β</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mo> </mml:mo><mml:msub><mml:mrow><mml:mi>β</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:semantics></mml:math></inline-formula>, (<bold>1.c</bold>) <inline-formula><mml:math id="mm35"><mml:semantics><mml:mrow><mml:mo> </mml:mo><mml:mo>(</mml:mo><mml:mi>α</mml:mi><mml:mo>=</mml:mo><mml:mn>0.25</mml:mn><mml:mo>,</mml:mo><mml:mo> </mml:mo><mml:msub><mml:mrow><mml:mi>β</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>0.5</mml:mn><mml:mo>,</mml:mo><mml:mo> </mml:mo><mml:msub><mml:mrow><mml:mi>β</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mo> </mml:mo><mml:msub><mml:mrow><mml:mi>β</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>2</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:semantics></mml:math></inline-formula>, and (<bold>1.d</bold>) <inline-formula><mml:math id="mm36"><mml:semantics><mml:mrow><mml:mo> </mml:mo><mml:mo>(</mml:mo><mml:mi>α</mml:mi><mml:mo>=</mml:mo><mml:mn>0.25</mml:mn><mml:mo>,</mml:mo><mml:mo> </mml:mo><mml:msub><mml:mrow><mml:mi>β</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>0.25</mml:mn><mml:mo>,</mml:mo><mml:mo> </mml:mo><mml:msub><mml:mrow><mml:mi>β</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mo> </mml:mo><mml:msub><mml:mrow><mml:mi>β</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>2</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:semantics></mml:math></inline-formula>.</p>
Full article ">Figure 2
<p>Different plots of the joint reliability function of the MOBEL distribution: (<bold>2.a</bold>) <inline-formula><mml:math id="mm298"><mml:semantics><mml:mrow><mml:mo> </mml:mo><mml:mfenced separators="|"><mml:mrow><mml:mi>α</mml:mi><mml:mo>=</mml:mo><mml:mn>0.25</mml:mn><mml:mo>,</mml:mo><mml:mo> </mml:mo><mml:msub><mml:mrow><mml:mi>β</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>0.5</mml:mn><mml:mo>,</mml:mo><mml:mo> </mml:mo><mml:msub><mml:mrow><mml:mi>β</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mo> </mml:mo><mml:msub><mml:mrow><mml:mi>β</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:mfenced></mml:mrow></mml:semantics></mml:math></inline-formula>, (<bold>2.b</bold>) <inline-formula><mml:math id="mm73"><mml:semantics><mml:mrow><mml:mo> </mml:mo><mml:mo>(</mml:mo><mml:mi>α</mml:mi><mml:mo>=</mml:mo><mml:mn>0.25</mml:mn><mml:mo>,</mml:mo><mml:mo> </mml:mo><mml:msub><mml:mrow><mml:mi>β</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>0.5</mml:mn><mml:mo>,</mml:mo><mml:mo> </mml:mo><mml:msub><mml:mrow><mml:mi>β</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mo> </mml:mo><mml:msub><mml:mrow><mml:mi>β</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>2</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:semantics></mml:math></inline-formula>, (<bold>2.c</bold>) <inline-formula><mml:math id="mm74"><mml:semantics><mml:mrow><mml:mo> </mml:mo><mml:mfenced separators="|"><mml:mrow><mml:mi>α</mml:mi><mml:mo>=</mml:mo><mml:mn>0.25</mml:mn><mml:mo>,</mml:mo><mml:mo> </mml:mo><mml:msub><mml:mrow><mml:mi>β</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>0.25</mml:mn><mml:mo>,</mml:mo><mml:mo> </mml:mo><mml:msub><mml:mrow><mml:mi>β</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mo> </mml:mo><mml:msub><mml:mrow><mml:mi>β</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:mfenced></mml:mrow></mml:semantics></mml:math></inline-formula> and (<bold>2.d</bold>) <inline-formula><mml:math id="mm75"><mml:semantics><mml:mrow><mml:mo> </mml:mo><mml:mo>(</mml:mo><mml:mi>α</mml:mi><mml:mo>=</mml:mo><mml:mn>0.25</mml:mn><mml:mo>,</mml:mo><mml:mo> </mml:mo><mml:msub><mml:mrow><mml:mi>β</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>0.25</mml:mn><mml:mo>,</mml:mo><mml:mo> </mml:mo><mml:msub><mml:mrow><mml:mi>β</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mo> </mml:mo><mml:msub><mml:mrow><mml:mi>β</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>2</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:semantics></mml:math></inline-formula>.</p>
Full article ">Figure 3
<p>Different plots of the joint hazard of the MOBEL distribution: (<bold>3.a</bold>) <inline-formula><mml:math id="mm299"><mml:semantics><mml:mrow><mml:mo> </mml:mo><mml:mfenced separators="|"><mml:mrow><mml:mi>α</mml:mi><mml:mo>=</mml:mo><mml:mn>0.25</mml:mn><mml:mo>,</mml:mo><mml:mo> </mml:mo><mml:msub><mml:mrow><mml:mi>β</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>0.5</mml:mn><mml:mo>,</mml:mo><mml:mo> </mml:mo><mml:msub><mml:mrow><mml:mi>β</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mo> </mml:mo><mml:msub><mml:mrow><mml:mi>β</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:mfenced></mml:mrow></mml:semantics></mml:math></inline-formula>, (<bold>3.b</bold>) <inline-formula><mml:math id="mm82"><mml:semantics><mml:mrow><mml:mo> </mml:mo><mml:mo>(</mml:mo><mml:mi>α</mml:mi><mml:mo>=</mml:mo><mml:mn>0.25</mml:mn><mml:mo>,</mml:mo><mml:mo> </mml:mo><mml:msub><mml:mrow><mml:mi>β</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>0.25</mml:mn><mml:mo>,</mml:mo><mml:mo> </mml:mo><mml:msub><mml:mrow><mml:mi>β</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mo> </mml:mo><mml:msub><mml:mrow><mml:mi>β</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>2</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:semantics></mml:math></inline-formula>, (<bold>3.c</bold>) <inline-formula><mml:math id="mm83"><mml:semantics><mml:mrow><mml:mo> </mml:mo><mml:mo>(</mml:mo><mml:mi>α</mml:mi><mml:mo>=</mml:mo><mml:mn>0.5</mml:mn><mml:mo>,</mml:mo><mml:mo> </mml:mo><mml:msub><mml:mrow><mml:mi>β</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mo> </mml:mo><mml:msub><mml:mrow><mml:mi>β</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mo> </mml:mo><mml:msub><mml:mrow><mml:mi>β</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>2</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:semantics></mml:math></inline-formula> and (<bold>3.d</bold>) <inline-formula><mml:math id="mm84"><mml:semantics><mml:mrow><mml:mo> </mml:mo><mml:mo>(</mml:mo><mml:mi>α</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mo> </mml:mo><mml:msub><mml:mrow><mml:mi>β</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mo> </mml:mo><mml:msub><mml:mrow><mml:mi>β</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>3</mml:mn><mml:mo>,</mml:mo><mml:mo> </mml:mo><mml:msub><mml:mrow><mml:mi>β</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>4</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:semantics></mml:math></inline-formula>.</p>
Full article ">Figure 4
<p>Estimated PDF and the PP plots of different distributions for the first data set.</p>
Full article ">Figure 5
<p>The pdf for the marginal distributions of <inline-formula><mml:math id="mm300"><mml:semantics><mml:mrow><mml:msub><mml:mrow><mml:mi>t</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:semantics></mml:math></inline-formula> and <inline-formula><mml:math id="mm237"><mml:semantics><mml:mrow><mml:msub><mml:mrow><mml:mi>t</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:semantics></mml:math></inline-formula>.</p>
Full article ">Figure 6
<p>P-P plot estimated for the MOBEL distribution and other distributions for the real data set.</p>
Full article ">Figure 7
<p>MCMC plots for the parameters of the MOBEL distribution.</p>
Full article ">
34 pages, 2398 KiB  
Article
Medical and Engineering Applications for Estimation and Prediction of a New Competing Risks Model: A Bayesian Approach
by Hebatalla H. Mohammad, Heba N. Salem, Abeer A. EL-Helbawy and Faten S. Alamri
Symmetry 2024, 16(11), 1502; https://doi.org/10.3390/sym16111502 - 8 Nov 2024
Viewed by 395
Abstract
The Bayesian approach offers a flexible, interpretable and powerful framework for statistical analysis, making it a valuable tool to help in making optimal decisions under uncertainty. It incorporates prior knowledge or beliefs about the parameters, which can lead to more accurate and informative [...] Read more.
The Bayesian approach offers a flexible, interpretable and powerful framework for statistical analysis, making it a valuable tool to help in making optimal decisions under uncertainty. It incorporates prior knowledge or beliefs about the parameters, which can lead to more accurate and informative results. Also, it offers credible intervals as a measure of uncertainty, which are often more interpretable than confidence intervals. Hence, the Bayesian approach is utilized to estimate the parameters, reliability function, hazard rate function and reversed hazard rate function of a new competing risks model. A squared error loss function as a symmetric loss function and a linear exponential loss function as an asymmetric loss function are employed to derive the Bayesian estimators. Credible intervals of the parameters, reliability function, hazard rate function and reversed hazard rate function are obtained. Predicting future observations is important in many fields, from finance and weather forecasting to healthcare and engineering. Thus, two-sample prediction (as a special case of the multi-sample prediction) for future observation is considered. An adaptive Metropolis algorithm is applied to conduct a simulation study to evaluate the performance of the Bayes estimates and predictors. Moreover, two applications of medical and engineering data sets are used to test and validate the theoretical results, ensuring that they are accurate, applicable to real-world scenarios and contribute to the understanding of the world and inform decision-making. Full article
(This article belongs to the Section Mathematics)
Show Figures

Figure 1

Figure 1
<p>Trace plots of <inline-formula><mml:math id="mm1458"><mml:semantics><mml:mrow><mml:mi>α</mml:mi><mml:mo>,</mml:mo><mml:mo> </mml:mo><mml:mi>c</mml:mi></mml:mrow></mml:semantics></mml:math></inline-formula> and <inline-formula><mml:math id="mm1888"><mml:semantics><mml:mrow><mml:mi>k</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:semantics></mml:math></inline-formula></p>
Full article ">Figure 2
<p>Autocorrelation plots of <inline-formula><mml:math id="mm1469"><mml:semantics><mml:mrow><mml:mi>α</mml:mi><mml:mo>,</mml:mo><mml:mo> </mml:mo><mml:mi>c</mml:mi></mml:mrow></mml:semantics></mml:math></inline-formula> and <inline-formula><mml:math id="mm2999"><mml:semantics><mml:mrow><mml:mi>k</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:semantics></mml:math></inline-formula></p>
Full article ">Figure 3
<p>Histogram, posterior density and the lower and upper limits of the 95% credible intervals of <inline-formula><mml:math id="mm14744"><mml:semantics><mml:mrow><mml:mi>α</mml:mi><mml:mo>,</mml:mo><mml:mo> </mml:mo><mml:mi>c</mml:mi></mml:mrow></mml:semantics></mml:math></inline-formula> and <inline-formula><mml:math id="mm3444"><mml:semantics><mml:mrow><mml:mi>k</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:semantics></mml:math></inline-formula></p>
Full article ">Figure 4
<p>Trace plots of <italic>α</italic>, <italic>c</italic> and <italic>k</italic> for Wang’s data.</p>
Full article ">Figure 5
<p>Autocorrelation plots of <italic>α</italic>, <italic>c</italic> and <italic>k</italic> for Wang’s data.</p>
Full article ">Figure 6
<p>Histogram, posterior density and the lower and upper limits of the 95% credible intervals of the parameters of the Xg-BXII distribution for Wang’s data.</p>
Full article ">Figure 7
<p>Trace plots of the parameters <italic>α</italic>, <italic>c</italic> and <italic>k</italic> for COVID-19 data from the United Kingdom.</p>
Full article ">Figure 8
<p>Autocorrelation plots of the parameters <italic>α</italic>, <italic>c</italic> and <italic>k</italic> for COVID-19 data from the United Kingdom.</p>
Full article ">Figure 9
<p>Histogram, posterior density and the lower and upper limits of the 95% credible intervals of the parameters of the Xg-BXII distribution for COVID-19 data from the United Kingdom.</p>
Full article ">
11 pages, 931 KiB  
Communication
Radiomics Features from Positron Emission Tomography with [18F] Fluorodeoxyglucose Can Help Predict Cervical Nodal Status in Patients with Head and Neck Cancer
by Francesco Bianconi, Roberto Salis, Mario Luca Fravolini, Muhammad Usama Khan, Luca Filippi, Andrea Marongiu, Susanna Nuvoli, Angela Spanu and Barbara Palumbo
Cancers 2024, 16(22), 3759; https://doi.org/10.3390/cancers16223759 - 7 Nov 2024
Viewed by 410
Abstract
Background: Detecting pathological lymph nodes (LNs) is crucial for establishing the proper clinical approach in patients with head and neck cancer (HNC). Positron emission tomography with [18F] fluorodeoxyglucose (FDG PET) has high diagnostic value, although it can yield false positives since [...] Read more.
Background: Detecting pathological lymph nodes (LNs) is crucial for establishing the proper clinical approach in patients with head and neck cancer (HNC). Positron emission tomography with [18F] fluorodeoxyglucose (FDG PET) has high diagnostic value, although it can yield false positives since FDG-avid LNs can also occur from non-cancerous diseases. Objectives: To explore if radiomics features from FDG PET can enhance the identification of pathological lymph nodes in head and neck cancer. Materials and methods: This study was carried out on n=51 cervical lymph nodes (26 negative, 25 positive) from a cohort of n=27 subjects, and the standard of reference was fine needle aspiration cytology or excisional biopsy. An initial set of 54 IBSI-compliant radiomics features, which was subsequently reduced to 31 after redundancy elimination, was considered for the analysis. Mann–Whitney U tests were performed to compare each feature between positive and negative LNs. Classification models based on two sets of features, PETBase (SUVmax, MTV and TLG) and PETRad (radiomics features), respectively, were trained using logistic regression, support vector machines and Gaussian naïve Bayes, and their performance was compared. Accuracy was estimated via leave-one-out cross-validation. Results: We identified via univariate analysis 21 features that were statistically different between positive and negative LNs. In particular, dispersion features indicated that positive LNs had higher uptake non-uniformity than the negative ones. AUC, sensitivity, specificity and accuracy obtained with logistic regression were, respectively, 0.840, 68.0%, 89.5% and 80.4% for PETBase and 0.880, 72.0%, 90.0% and 82.4% for PETRad. The other classification models showed the same trend. Conclusions: Radiomics features from FDG PET can improve the diagnostic accuracy of LN status in HNC. Full article
(This article belongs to the Special Issue Advances in Imaging Techniques of Molecular Oncology)
Show Figures

Figure 1

Figure 1
<p>FDG PET images of two sample cases from the study population. (<b>Top row</b>) A positive left mid-jugular lymph node in a 71-year-old male (anonymous_id = f051, nodule_id = N_00; SUVmean = 3.62, SUVmax = 6.61). (<b>Bottom row</b>) A negative left upper-jugular lymph node in a 58-year-old male (anonymous_id = 6d32, nodule_id = N_01; SUVmean = 3.63, SUVmax = 4.42). Purple overlays indicate the manually generated ROIs. Further data are available in the data-spreadsheet.xlsx file provided in the <a href="#app1-cancers-16-03759" class="html-app">Supplementary Materials</a> (use the given anonymous IDs to identify patient and lymph node in the data table).</p>
Full article ">
23 pages, 14253 KiB  
Article
Optimal Estimation of Reliability Parameters for Modified Frechet-Exponential Distribution Using Progressive Type-II Censored Samples with Mechanical and Medical Data
by Dina A. Ramadan, Ahmed T. Farhat, M. E. Bakr, Oluwafemi Samson Balogun and Mustafa M. Hasaballah
Symmetry 2024, 16(11), 1476; https://doi.org/10.3390/sym16111476 - 6 Nov 2024
Viewed by 636
Abstract
The aim of this research is to estimate the parameters of the modified Frechet-exponential (MFE) distribution using different methods when applied to progressive type-II censored samples. These methods include using the maximum likelihood technique and the Bayesian approach, which were used to determine [...] Read more.
The aim of this research is to estimate the parameters of the modified Frechet-exponential (MFE) distribution using different methods when applied to progressive type-II censored samples. These methods include using the maximum likelihood technique and the Bayesian approach, which were used to determine the values of parameters in addition to calculating the reliability and failure functions at time t. The approximate confidence intervals (ACIs) and credible intervals (CRIs) are derived for these parameters. Two bootstrap techniques of parametric type are provided to compute the bootstrap confidence intervals. Both symmetric loss functions such as the squared error loss (SEL) and asymmetric loss functions such as the linear-exponential (LINEX) loss are used in the Bayesian method to obtain the estimates. The Markov Chain Monte Carlo (MCMC) technique is utilized in the Metropolis–Hasting sampler approach to obtain the unknown parameters using the Bayes approach. Two actual datasets are utilized to examine the various progressive schemes and different estimation methods considered in this paper. Additionally, a simulation study is performed to compare the schemes and estimation techniques. Full article
(This article belongs to the Section Mathematics)
Show Figures

Figure 1

Figure 1
<p>PP-plot and QQ-plot of MFED for dataset I.</p>
Full article ">Figure 2
<p>Empirical and survival functions for the complete and censored dataset I using the MLE method.</p>
Full article ">Figure 3
<p>Plots of the 12,000 simulated variants for the parameters of dataset I.</p>
Full article ">Figure 4
<p>PP- and QQ-plots of MFED for dataset II.</p>
Full article ">Figure 5
<p>Empirical and survival functions for the complete and censored dataset II using the MLE method.</p>
Full article ">Figure 6
<p>Plots of the 12,000 simulated variants for the parameters of dataset II.</p>
Full article ">Figure 7
<p>ACIs of <math display="inline"><semantics> <mi>μ</mi> </semantics></math> of 1000 Pro-II C samples in <a href="#symmetry-16-01476-t007" class="html-table">Table 7</a> for various drawing schemes.</p>
Full article ">Figure 8
<p>ACIs of <math display="inline"><semantics> <mi>β</mi> </semantics></math> of 1000 Pro-II C samples in <a href="#symmetry-16-01476-t008" class="html-table">Table 8</a> for various drawing schemes.</p>
Full article ">Figure 9
<p>ACIs of <span class="html-italic">S</span>(0.8) of 1000 Pro-II C samples in <a href="#symmetry-16-01476-t009" class="html-table">Table 9</a> for various drawing schemes.</p>
Full article ">Figure 10
<p>ACIs of <span class="html-italic">h</span>(0.8) of 1000 Pro-II C samples in <a href="#symmetry-16-01476-t010" class="html-table">Table 10</a> for various drawing schemes.</p>
Full article ">
19 pages, 1774 KiB  
Article
Effective Machine Learning Techniques for Dealing with Poor Credit Data
by Dumisani Selby Nkambule, Bhekisipho Twala and Jan Harm Christiaan Pretorius
Risks 2024, 12(11), 172; https://doi.org/10.3390/risks12110172 - 30 Oct 2024
Viewed by 469
Abstract
Credit risk is a crucial component of daily financial services operations; it measures the likelihood that a borrower will default on a loan, incurring an economic loss. By analysing historical data for assessment of the creditworthiness of a borrower, lenders can reduce credit [...] Read more.
Credit risk is a crucial component of daily financial services operations; it measures the likelihood that a borrower will default on a loan, incurring an economic loss. By analysing historical data for assessment of the creditworthiness of a borrower, lenders can reduce credit risk. Data are vital at the core of the credit decision-making processes. Decision-making depends heavily on accurate, complete data, and failure to harness high-quality data would impact credit lenders when assessing the loan applicants’ risk profiles. In this paper, an empirical comparison of the robustness of seven machine learning algorithms to credit risk, namely support vector machines (SVMs), naïve base, decision trees (DT), random forest (RF), gradient boosting (GB), K-nearest neighbour (K-NN), and logistic regression (LR), is carried out using the Lending Club credit data from Kaggle. This task uses seven performance measures, including the F1 Score (recall, accuracy, and precision), ROC-AUC, and HL and MCC metrics. Then, the harnessing of generative adversarial networks (GANs) simulation to enhance the robustness of the single machine learning classifiers for predicting credit risk is proposed. The results show that when GANs imputation is incorporated, the decision tree is the best-performing classifier with an accuracy rate of 93.01%, followed by random forest (92.92%), gradient boosting (92.33%), support vector machine (90.83%), logistic regression (90.76%), and naïve Bayes (89.29%), respectively. The classifier is the worst-performing method with a k-NN (88.68%) accuracy rate. Subsequently, when GANs are optimised, the accuracy rate of the naïve Bayes classifier improves significantly to (90%) accuracy rate. Additionally, the average error rate for these classifiers is over 9%, which implies that the estimates are not far from the actual values. In summary, most individual classifiers are more robust to missing data when GANs are used as an imputation technique. The differences in performance of all seven machine learning algorithms are significant at the 95% level. Full article
(This article belongs to the Special Issue Financial Analysis, Corporate Finance and Risk Management)
Show Figures

Figure 1

Figure 1
<p>Generative adversarial networks architecture.</p>
Full article ">Figure 2
<p>Learning curves for classification models.</p>
Full article ">Figure 3
<p>Classifiers ROC curves and AUC.</p>
Full article ">Figure 4
<p>Classification error rates.</p>
Full article ">
9 pages, 804 KiB  
Article
Computed Tomography Confirms Increased Left Atrial Volume in Patients with Bayés Syndrome Referred for Catheter Ablation of Atrial Fibrillation
by Gabriel Cismaru, Gwendolyn Wagner, Gabriel Gusetu, Ioan-Alexandru Minciuna, Diana Irimie, Florina Fringu, Raluca Tomoaia, Horatiu Comsa, Bogdan Caloian, Dana Pop and Radu Ovidiu Rosu
Diagnostics 2024, 14(21), 2416; https://doi.org/10.3390/diagnostics14212416 - 30 Oct 2024
Viewed by 352
Abstract
Background: Bayés syndrome is a recently identified condition that is defined by the presence of an interatrial block on a surface electrocardiogram, in addition to atrial arrhythmias such as atrial fibrillation, tachycardia, or left atrial flutter. This syndrome is linked to an increased [...] Read more.
Background: Bayés syndrome is a recently identified condition that is defined by the presence of an interatrial block on a surface electrocardiogram, in addition to atrial arrhythmias such as atrial fibrillation, tachycardia, or left atrial flutter. This syndrome is linked to an increased risk of stroke, morbidity, and mortality. An interatrial block is a conduction delay between the right atrium and left atrium and can be recognized by a P wave duration >120 ms. It is known that P wave duration can estimate the size of the left atrium measured via echocardiography, which is a marker for stratifying cardiovascular risk. Our study aims to verify whether the duration of the P wave can estimate the volume of the left atrium measured by computed tomography in patients with an interatrial block. Methods: We included 105 patients with a sinus rhythm and a partial or advanced interatrial block (IAB) who underwent contrast-enhanced cardiac computed tomography (CT). The mean age was 62.2 ± 10.1 years, and 38% of the patients were women. Results: The mean P wave duration was 122.6 ± 11.4 ms in the partial IAB group and 150 ± 8.4 ms in the advanced IAB group (p < 0.01). The mean left atrial volume was 115 ± 39 mL in the partial IAB group and 142 ± 34 mL in the advanced IAB group (p = 0.001). P wave duration was longer in patients with an advanced as opposed to partial interatrial block. Left atrial volume and LAVI were higher in patients with an advanced as opposed to partial interatrial block. Conclusions: All the patients (100%) with an advanced IAB had a dilated left atrium. P wave duration can accurately estimate LA volume in patients with an IAB using the formula: LA volume = 0.6 × P wave + 46 mL. Full article
(This article belongs to the Special Issue The Future of Cardiac Imaging in the Diagnosis)
Show Figures

Figure 1

Figure 1
<p>Association between P wave duration and LA volume in patients with an IAB. According to the linear regression, the formulas that best estimate the LA volume and index are (<b>a</b>) LA volume = 0.6 × P wave + 46 mL and (<b>b</b>) LAVI = 0.4 × P wave+ 8 mL.</p>
Full article ">Figure 2
<p>Bland–Altmann plots of the differences and means of the measured and estimated LA volumes. The 5% and 95% percentiles are marked with a red line, and the mean difference is marked with a black line.</p>
Full article ">
18 pages, 6936 KiB  
Article
A Calculating Method for the Height of Multi-Type Buildings Based on 3D Point Cloud
by Yuehuan Wang, Shuwen Yang, Ruixiong Kou, Zhuang Shi and Yikun Li
Buildings 2024, 14(11), 3412; https://doi.org/10.3390/buildings14113412 - 27 Oct 2024
Viewed by 485
Abstract
Building height is a critical variable in urban studies, and the automated acquisition of the precise building height is essential for intelligent construction, safety, and the sustainable development of cities. The building height is often approximated by the building’s highest point. However, the [...] Read more.
Building height is a critical variable in urban studies, and the automated acquisition of the precise building height is essential for intelligent construction, safety, and the sustainable development of cities. The building height is often approximated by the building’s highest point. However, the calculation method of the building height of the various roof types differs according to building codes, making it challenging to accurately calculate the height of buildings with complex roof structures or multiple upper appendages. Consequently, this paper utilizes point clouds to propose an automated method for calculating building heights conforming to design codes. The model considers roof types and allows for fast, automated, and highly accurate building height estimation. First, roofs are extracted from the point cloud by combining normal vector density clustering with a region-growing algorithm. Second, combined with variational Bayes, a Gaussian mixture model is employed to segment the roof surfaces. Finally, roofs are classified based on slope characteristics, achieving the automatic acquisition of building heights for various roof types over large areas. Experiments were conducted on Vaihingen and STPLS3D datasets. In the Vaihingen area, the maximum error, root-mean-square-error (RMSE), and mean absolute error (MAE) of the measured heights are 1.92 cm, 1.18 cm, and 1.13 cm, respectively. In the STPLS3D area, these values are 1.79 cm, 0.82 cm, and 0.68 cm, respectively. The results demonstrate that the proposed method is reliable and effective, which offers valuable data for the development, construction, and planning of three-dimensional (3D) cities. Full article
(This article belongs to the Section Building Energy, Physics, Environment, and Systems)
Show Figures

Figure 1

Figure 1
<p>Flowchart of building heights calculation. (In Step 3 Ridge and Eave Lines, the red color indicates the ridge line and the blue color indicates the eave line).</p>
Full article ">Figure 2
<p>Experimental data. where (<b>a</b>) denotes the study area in the Vaihingen data and (<b>b</b>) denotes the study area in the STPLS3D dataset.</p>
Full article ">Figure 3
<p>Point clouds of different types of roofs.</p>
Full article ">Figure 4
<p>Flow of density clustering algorithm based on normal vector features.</p>
Full article ">Figure 5
<p>Variational Bayesian Gaussian mixture model flow.</p>
Full article ">Figure 6
<p>Slope and direction calculation.</p>
Full article ">Figure 7
<p>Schematic diagram of slope direction.</p>
Full article ">Figure 8
<p>Building roof types.</p>
Full article ">Figure 9
<p>Roof extraction results.</p>
Full article ">Figure 10
<p>Roof segmentation results.</p>
Full article ">Figure 11
<p>Representation of building heights calculation.</p>
Full article ">Figure 12
<p>Calculation error representation of building heights in the Vaihingen experimental area.</p>
Full article ">Figure 13
<p>Calculation error representation of building height in STPLS3D experimental area.</p>
Full article ">
21 pages, 18375 KiB  
Article
Enhanced Crop Leaf Area Index Estimation via Random Forest Regression: Bayesian Optimization and Feature Selection Approach
by Jun Zhang, Jinpeng Cheng, Cuiping Liu, Qiang Wu, Shuping Xiong, Hao Yang, Shenglong Chang, Yuanyuan Fu, Mohan Yang, Shiyu Zhang, Guijun Yang and Xinming Ma
Remote Sens. 2024, 16(21), 3917; https://doi.org/10.3390/rs16213917 - 22 Oct 2024
Viewed by 1075
Abstract
The Leaf Area Index (LAI) is a crucial structural parameter linked to the photosynthetic capacity and biomass of crops. While integrating machine learning algorithms with spectral variables has improved LAI estimation over large areas, excessive input parameters can lead to data redundancy and [...] Read more.
The Leaf Area Index (LAI) is a crucial structural parameter linked to the photosynthetic capacity and biomass of crops. While integrating machine learning algorithms with spectral variables has improved LAI estimation over large areas, excessive input parameters can lead to data redundancy and reduced generalizability across different crop species. To address these challenges, we propose a novel framework based on Bayesian-Optimized Random Forest Regression (Bayes-RFR) for enhanced LAI estimation. This framework employs a tree model-based feature selection method to identify critical features, reducing redundancy and improving model interpretability. A Gaussian process serves as a prior model to optimize the hyperparameters of the Random Forest Regression. The field experiments conducted over two years on maize and wheat involved collecting LAI, hyperspectral, multispectral, and RGB data. The results indicate that the tree model-based feature selection outperformed the traditional correlation analysis and Recursive Feature Elimination (RFE). The Bayes-RFR model demonstrated a superior validation accuracy compared to the standard Random Forest Regression and Pso-optimized models, with the R2 values increasing by 27% for the maize hyperspectral data, 12% for the maize multispectral data, and 47% for the wheat hyperspectral data. These findings suggest that the proposed Bayes-RFR framework significantly enhances the stability and predictive capability of LAI estimation across various crop types, offering valuable insights for precision agriculture and crop monitoring. Full article
Show Figures

Figure 1

Figure 1
<p>Study area and the distribution of observation plots. Cutivar: C1 (Zhengdan958), C2 (Xianyu335), C3 (Jingnong728), C4 (Chengdan30), C5 (Jingpin6), C6 (ingjiu16), C7 (Tianci19), C8 (Jingnuo2008), C9 (Nongke336), C10 (Jinghua38), C11 (Yufeng506), C12 (Fengnuo), C13 (Jiyuan1), C14 (Jivuan168), P1 (Jinghua11), P2 (Zhongmai1062).</p>
Full article ">Figure 2
<p>Comparison of UAV-derived maize plant height with ground measurements.</p>
Full article ">Figure 3
<p>Framework of the LAI estimation process. Note: The dashed box represents the components under this module.</p>
Full article ">Figure 4
<p>Box plots of measured LAIs for maize and wheat at different growth stages. Note: The different color lines represent the normal distribution of different growth stages.</p>
Full article ">Figure 5
<p>Effect of optimization algorithms on LAI estimation models.</p>
Full article ">Figure 6
<p>(<b>a</b>–<b>f</b>) Comparison of feature importance and correlation coefficients across different datasets. Note: (<b>a</b>,<b>c</b>,<b>e</b>) stands for feature importance of Maize_ASD, Maize_UAV, Wheat_ASD; (<b>b</b>,<b>d</b>,<b>f</b>) stands for correlation coefficients of Maize_ASD, Maize_UAV, Wheat_ASD.</p>
Full article ">Figure 7
<p>Comparing different feature selection methods in RFR. Note: Cor: correlation analysis, Importance: tree model-based feature.</p>
Full article ">Figure 8
<p>Iteration convergence of the Bayes-RFR and Pso-RFR models across different datasets.</p>
Full article ">Figure 9
<p>Comparison of actual and predicted LAI values using Bayes-RFR and Pso-RFR models with optimal hyperparameters.</p>
Full article ">Figure 10
<p>Comparison of actual and predicted LAI values using Bayes-RFR and RFR models with optimal hyperparameters.</p>
Full article ">Figure 11
<p>Variation in OOB error with the number of selected features (f) in RFR models.</p>
Full article ">Figure 12
<p>LAI inversion using the Bayes-RFR modeling algorithm.</p>
Full article ">
24 pages, 499 KiB  
Article
Constrained Bayesian Method for Testing Equi-Correlation Coefficient
by Kartlos Kachiashvili and Ashis SenGupta
Axioms 2024, 13(10), 722; https://doi.org/10.3390/axioms13100722 - 17 Oct 2024
Viewed by 346
Abstract
The problem of testing the equi-correlation coefficient of a standard symmetric multivariate normal distribution is considered. Constrained Bayesian and classical Bayes methods, using the maximum likelihood estimation and Stein’s approach, are examined. For the investigation of the obtained theoretical results and choosing the [...] Read more.
The problem of testing the equi-correlation coefficient of a standard symmetric multivariate normal distribution is considered. Constrained Bayesian and classical Bayes methods, using the maximum likelihood estimation and Stein’s approach, are examined. For the investigation of the obtained theoretical results and choosing the best among them, different practical examples are analyzed. The simulation results showed that the constrained Bayesian method (CBM) using Stein’s approach has the advantage of making decisions with higher reliability for testing hypotheses concerning the equi-correlation coefficient than the Bayes method. Also, the use of this approach with the probability distribution of linear combinations of chi-square random variables gives better results compared to that of using the integrated probability distributions in terms of providing both the necessary precisions as well as convenience of implementation in practice. Recommendations towards the use of the proposed methods for solving practical problems are given. Full article
(This article belongs to the Special Issue Applications of Bayesian Methods in Statistical Analysis)
Show Figures

Figure A1

Figure A1
<p>Dependence of the divergence between hypotheses on the difference between correlation coefficients, i.e., on <math display="inline"><semantics> <mrow> <mfenced close="|" open="|"> <mrow> <msub> <mi>ρ</mi> <mn>0</mn> </msub> <mo>−</mo> <msub> <mi>ρ</mi> <mi>A</mi> </msub> </mrow> </mfenced> </mrow> </semantics></math>, for different <math display="inline"><semantics> <mi>k</mi> </semantics></math>-dimensions of the random vector.</p>
Full article ">
25 pages, 26385 KiB  
Article
An Innovative Tool for Monitoring Mangrove Forest Dynamics in Cuba Using Remote Sensing and WebGIS Technologies: SIGMEM
by Alexey Valero-Jorge, Raúl González-Lozano, Roberto González-De Zayas, Felipe Matos-Pupo, Rogert Sorí and Milica Stojanovic
Remote Sens. 2024, 16(20), 3802; https://doi.org/10.3390/rs16203802 - 12 Oct 2024
Viewed by 726
Abstract
The main objective of this work was to develop a viewer with web output, through which the changes experienced by the mangroves of the Gran Humedal del Norte de Ciego de Avila (GHNCA) can be evaluated from remote sensors, contributing to the understanding [...] Read more.
The main objective of this work was to develop a viewer with web output, through which the changes experienced by the mangroves of the Gran Humedal del Norte de Ciego de Avila (GHNCA) can be evaluated from remote sensors, contributing to the understanding of the spatiotemporal variability of their vegetative dynamics. The achievement of this objective is supported by the use of open-source technologies such as MapStore, GeoServer and Django, as well as Google Earth Engine, which combine to offer a robust and technologically independent solution to the problem. In this context, it was decided to adopt an action model aimed at automating the workflow steps related to data preprocessing, downloading, and publishing. A visualizer with web output (Geospatial System for Monitoring Mangrove Ecosystems or SIGMEM) is developed for the first time, evaluating changes in an area of central Cuba from different vegetation indices. The evaluation of the machine learning classifiers Random Forest and Naive Bayes for the automated mapping of mangroves highlighted the ability of Random Forest to discriminate between areas occupied by mangroves and other coverages with an Overall Accuracy (OA) of 94.11%, surpassing the 89.85% of Naive Bayes. The estimated net change based on the year 2020 of the areas determined during the classification process showed a decrease of 5138.17 ha in the year 2023 and 2831.76 ha in the year 2022. This tool will be fundamental for researchers, decision makers, and students, contributing to new research proposals and sustainable management of mangroves in Cuba and the Caribbean. Full article
(This article belongs to the Special Issue Remote Sensing: 15th Anniversary)
Show Figures

Figure 1

Figure 1
<p>Location of the Gran Humedal del Norte de Ciego de Ávila (GHNCA), Cuba.</p>
Full article ">Figure 2
<p>General workflow for the development of the WebGis platform: SIGMEM.</p>
Full article ">Figure 3
<p>Spatial distribution of the reference points taken in the GHNCA. Green dots indicate mangrove class and red dots non-mangrove.</p>
Full article ">Figure 4
<p>Distribution of predictor variables used in the classification model grouped by classes (mangrove/non-mangrove). Selected Sentinel-2 spectral bands and spectral indices selected by the recursive variable elimination method.</p>
Full article ">Figure 5
<p>Diagram of the web architecture used for the development of the GeoServer.</p>
Full article ">Figure 6
<p>Estimated mangrove areas in the GHN in Ciego de Avila, Cuba emulating Sentinel-2 images. (<b>A</b>) 2020, (<b>B</b>) 2021, (<b>C</b>) 2022, and (<b>D</b>) 2023. Legend: the areas occupied by mangrove ecosystems in each of the years are shown in red; the limits of the GHN of Ciego de Avila are shown in blue dashed lines.</p>
Full article ">Figure 7
<p>Two-dimensional view of the workspace within the MapStore application. The red line represents the limit of the GHNCA.</p>
Full article ">Figure 8
<p>Three-dimensional view of the workspace within the MapStore application. The red line represents the limit of the GHNCA.</p>
Full article ">Figure 9
<p>Access to the metadata catalog of geospatial resources. The red line represents the limit of the GHNCA.</p>
Full article ">Figure 10
<p>Functionality for visual intercomparison of layers. The red line represents the limit of the GHNCA.</p>
Full article ">Figure 11
<p>Features for viewing and manipulating layer attributes. The red line represents the limit of the GHNCA.</p>
Full article ">Figure 12
<p>Vegetation Indices calculated in the GHN of Ciego de Avila, Cuba during the third quarter of the year 2023 emulating Sentinel-2 images. (<b>A</b>) NDVI, (<b>B</b>) EVI, (<b>C</b>) NDMI, and (<b>D</b>) CCCI.</p>
Full article ">
12 pages, 449 KiB  
Article
Thermal Runaway Diagnosis of Lithium-Ion Cells Using Data-Driven Method
by Youngrok Choi and Pangun Park
Appl. Sci. 2024, 14(19), 9107; https://doi.org/10.3390/app14199107 - 9 Oct 2024
Viewed by 670
Abstract
Fault diagnosis is crucial to guarantee safe operation and extend the operating time while preventing the thermal runaway of the lithium-ion battery. This study presents a data-driven thermal runaway diagnosis framework where Bayesian optimization techniques are applied to optimize the hyperparameter of various [...] Read more.
Fault diagnosis is crucial to guarantee safe operation and extend the operating time while preventing the thermal runaway of the lithium-ion battery. This study presents a data-driven thermal runaway diagnosis framework where Bayesian optimization techniques are applied to optimize the hyperparameter of various machine learning techniques. We use different machine learning models such as support vector machine, naive Bayes, decision tree ensemble, and multi-layer perceptron to estimate a high likelihood of causes of thermal runaway by using the experimental measurements of open-source battery failure data. We analyze different evaluation metrics, including the prediction accuracy, confusion metrics, and receiver operating characteristic curves of different models. An experimental evaluation shows that the classification accuracy of the decision tree ensemble outperforms that of other models. Furthermore, the decision tree ensemble provides robust prediction accuracy even with the strictly limited dataset. Full article
(This article belongs to the Section Computing and Artificial Intelligence)
Show Figures

Figure 1

Figure 1
<p>Thermal runaway diagnosis framework using different ML techniques including SVM, NB, DTE, and MLP models where the optimal parameters are obtained by Bayesian optimization algorithm.</p>
Full article ">Figure 2
<p>MLP network architecture consisting of the input layer, FC layer, batch normalization layer, ReLu function, dropout layer, and softmax layer for the classification.</p>
Full article ">Figure 3
<p>Confusion matrix of SVM, NB, DTE, and MLP models for different Heat, ISC, and Nail abuses.</p>
Full article ">Figure 4
<p>ROC curves of SVM, NB, DTE, and MLP models for different Heat, ISC, and Nail abuses.</p>
Full article ">Figure 5
<p>Average and standard deviation of prediction accuracy of DTE with different dataset ratios (<span class="html-italic">r</span>) compared to the maximum available dataset <math display="inline"><semantics> <mrow> <mi>N</mi> <mo>=</mo> <mn>364</mn> </mrow> </semantics></math>.</p>
Full article ">Figure 6
<p>Comparison of feature ranks obtained by feature independence analysis using chi-square tests and feature importance score of DTE. (<b>a</b>) Negative logarithm of <span class="html-italic">p</span>-value using chi-square test. (<b>b</b>) Feature importance score of DTE.</p>
Full article ">Figure 7
<p>Three abuse classes against <tt>HeatLossRate</tt> and <tt>PreCellM</tt> features.</p>
Full article ">Figure 8
<p>Partial dependence predicted by DTE for all abuse classes against <tt>HeatLossRate</tt>.</p>
Full article ">
16 pages, 2309 KiB  
Article
Enhancing Sex Estimation Accuracy with Cranial Angle Measurements and Machine Learning
by Diana Toneva, Silviya Nikolova, Gennady Agre, Stanislav Harizanov, Nevena Fileva, Georgi Milenov and Dora Zlatareva
Biology 2024, 13(10), 780; https://doi.org/10.3390/biology13100780 - 29 Sep 2024
Viewed by 667
Abstract
The development of current sexing methods largely depends on the use of adequate sources of data and adjustable classification techniques. Most sex estimation methods have been based on linear measurements, while the angles have been largely ignored, potentially leading to the loss of [...] Read more.
The development of current sexing methods largely depends on the use of adequate sources of data and adjustable classification techniques. Most sex estimation methods have been based on linear measurements, while the angles have been largely ignored, potentially leading to the loss of valuable information for sex discrimination. This study aims to evaluate the usefulness of cranial angles for sex estimation and to differentiate the most dimorphic ones by training machine learning algorithms. Computed tomography images of 154 males and 180 females were used to derive data of 36 cranial angles. The classification models were created by support vector machines, naïve Bayes, logistic regression, and the rule-induction algorithm CN2. A series of cranial angle subsets was arranged by an attribute selection scheme. The algorithms achieved the highest accuracy on subsets of cranial angles, most of which correspond to well-known features for sex discrimination. Angles characterizing the lower forehead and upper midface were included in the best-performing models of all algorithms. The accuracy results showed the considerable classification potential of the cranial angles. The study demonstrates the value of the cranial angles as sex indicators and the possibility to enhance the sex estimation accuracy by using them. Full article
Show Figures

Figure 1

Figure 1
<p>Cranial angles measured between (<b>a</b>) a line and a plane: n-b-FH (blue), n-m-FH (yellow), g-i-FH (purple), l-i-FH (orange), ss-pr-FH (green), ba-o-FH (pink); (<b>b</b>) two lines (lateral view): n-g-m (pink), n-pr-ba (blue), rhi-n-pr (green), l-op-i (orange), po-ms-ast (red); (<b>c</b>) two lines (front view): fmo-n-fmo (orange), nm-rhi-nm (blue), nl-ss-nl (green), zm-ss-zm (red).</p>
Full article ">Figure 2
<p>Accuracy of the models for sex estimation: (<b>a</b>) for the whole sample; (<b>b</b>) for class 1 (males); (<b>c</b>) for class 2 (females).</p>
Full article ">Figure 3
<p>CN2 rules based on the attribute subset with AI ≥ 0.9. The numbers in brackets following each rule indicate its coverage. The first number indicates how many examples from the training set are classified correctly to class 1 by this rule, while the second number represents the number of examples from the training set that are misclassified by the rule.</p>
Full article ">Figure 4
<p>Mean landmark configurations of the male (blue) and female (red) skulls.</p>
Full article ">
14 pages, 1713 KiB  
Article
Minimum Risk Quantification Method for Error Threshold of Wind Farm Equivalent Model Based on Bayes Discriminant Criterion
by Yuming Shen, Hao Yang, Jiayin Xu, Kun Li, Jiaqing Wang and Qianlong Zhu
Energies 2024, 17(19), 4793; https://doi.org/10.3390/en17194793 - 25 Sep 2024
Viewed by 421
Abstract
The error threshold is the cornerstone to balance the mathematical complexity and simulation speed of wind farm (WF) equivalent models, and can promote the standardization process of equivalent methodology. Due to differences in power system conditions and model evaluation standards in different countries, [...] Read more.
The error threshold is the cornerstone to balance the mathematical complexity and simulation speed of wind farm (WF) equivalent models, and can promote the standardization process of equivalent methodology. Due to differences in power system conditions and model evaluation standards in different countries, the form and indexes of error thresholds of WF equivalent models have not been unified yet. This paper proposes a theoretical method for quantifying the minimum risk of error threshold of WF equivalent models based on the Bayes discriminant criterion. Firstly, the Euclidean errors of WF equivalent models in different periods are quantified, and the probability density distributions of the errors are fitted by kernel density estimation. Secondly, the real-time weighted prior probability algorithm is used to obtain the prior probability of a valid WF equivalent model, and the different losses caused by the missed judgment and misjudgment of the model validity to power systems are taken into account. Thirdly, the minimum risk quantification model of error threshold is established based on the Bayes discriminant criterion, and the feasibility of the proposed method is verified by an actual WF with numerical examples. Compared with the existing error thresholds, the proposed error threshold can more quickly and accurately determine the validity of WF equivalent models. Full article
Show Figures

Figure 1

Figure 1
<p>Short-circuit fault process represented by voltage dip (red line), and segmentation of equivalent power error based on six-time window division.</p>
Full article ">Figure 2
<p>Time window 4 active power equivalent error probability density.</p>
Full article ">Figure 3
<p>Time window 4 reactive power equivalent error probability density.</p>
Full article ">Figure 4
<p>Equivalent error threshold of active power under different loss ratios.</p>
Full article ">Figure 5
<p>Equivalent error threshold of reactive power under different loss ratios.</p>
Full article ">Figure A1
<p>WF topology.</p>
Full article ">
Back to TopTop