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Keywords = partitioning around medoids clustering algorithm

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17 pages, 7306 KB  
Article
The Ecological–Economic Zoning Scheme and Coordinated Development of the China–Russia Northeast–Far East Transboundary Region
by Xinyuan Wang, Fujia Li, Hao Cheng and Kirill Ganzey
Land 2025, 14(9), 1878; https://doi.org/10.3390/land14091878 - 13 Sep 2025
Viewed by 1654
Abstract
The China–Russia northeast–far east transboundary region is ecologically complex and economically promising, but fragmented cross-border management poses challenges to ecological security and regional sustainable development. To scientifically reveal functional differentiation and support bilateral cooperation, this study established a comprehensive evaluation system comprising 21 [...] Read more.
The China–Russia northeast–far east transboundary region is ecologically complex and economically promising, but fragmented cross-border management poses challenges to ecological security and regional sustainable development. To scientifically reveal functional differentiation and support bilateral cooperation, this study established a comprehensive evaluation system comprising 21 indicators across five categories: natural, ecological, economic, social, and resource. Using the Partitioning Around Medoids (PAM) clustering algorithm at the grid scale, eight initial clusters with distinct eco-economic characteristics across administrative boundaries were identified. Based on these results, spatial patterns were refined using expert knowledge from both China and Russia, ultimately delineating ten core eco-economic functional zones. The study finds that (1) the results of the eco-economic zoning scheme reveal clear spatial functional differentiation, with the northern part of the region focusing on ecological conservation and resource development, and the southern part on agricultural and forestry production as well as port trade; and (2) China and Russia show significant differences in natural resource endowments, infrastructure levels, and population distribution, indicating strong potential for functional complementarity and coordinated development. Further, this study breaks through traditional administrative-unit-based zoning approaches and proposes a grid-scale eco-economic zoning scheme across administrative boundaries, providing spatial support for ecological protection, resource development, and regional governance in the border areas between China and Russia. The findings may also serve as a methodological reference and practical demonstration for eco-economic zoning scheme and coordinated management in other complex transboundary regions around the world. Full article
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26 pages, 389 KB  
Article
Integrating AI with Meta-Language: An Interdisciplinary Framework for Classifying Concepts in Mathematics and Computer Science
by Elena Kramer, Dan Lamberg, Mircea Georgescu and Miri Weiss Cohen
Information 2025, 16(9), 735; https://doi.org/10.3390/info16090735 - 26 Aug 2025
Viewed by 1243
Abstract
Providing students with effective learning resources is essential for improving educational outcomes—especially in complex and conceptually diverse fields such as Mathematics and Computer Science. To better understand how these subjects are communicated, this study investigates the linguistic structures embedded in academic texts from [...] Read more.
Providing students with effective learning resources is essential for improving educational outcomes—especially in complex and conceptually diverse fields such as Mathematics and Computer Science. To better understand how these subjects are communicated, this study investigates the linguistic structures embedded in academic texts from selected subfields within both disciplines. In particular, we focus on meta-languages—the linguistic tools used to express definitions, axioms, intuitions, and heuristics within a discipline. The primary objective of this research is to identify which subfields of Mathematics and Computer Science share similar meta-languages. Identifying such correspondences may enable the rephrasing of content from less familiar subfields using styles that students already recognize from more familiar areas, thereby enhancing accessibility and comprehension. To pursue this aim, we compiled text corpora from multiple subfields across both disciplines. We compared their meta-languages using a combination of supervised (Neural Network) and unsupervised (clustering) learning methods. Specifically, we applied several clustering algorithms—K-means, Partitioning around Medoids (PAM), Density-Based Clustering, and Gaussian Mixture Models—to analyze inter-discipline similarities. To validate the resulting classifications, we used XLNet, a deep learning model known for its sensitivity to linguistic patterns. The model achieved an accuracy of 78% and an F1-score of 0.944. Our findings show that subfields can be meaningfully grouped based on meta-language similarity, offering valuable insights for tailoring educational content more effectively. To further verify these groupings and explore their pedagogical relevance, we conducted both quantitative and qualitative research involving student participation. This paper presents findings from the qualitative component—namely, a content analysis of semi-structured interviews with software engineering students and lecturers. Full article
(This article belongs to the Special Issue Advancing Educational Innovation with Artificial Intelligence)
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24 pages, 2710 KB  
Article
Spatial and Economic-Based Clustering of Greek Irrigation Water Organizations: A Data-Driven Framework for Sustainable Water Pricing and Policy Reform
by Dimitrios Tsagkoudis, Eleni Zafeiriou and Konstantinos Spinthiropoulos
Water 2025, 17(15), 2242; https://doi.org/10.3390/w17152242 - 28 Jul 2025
Cited by 1 | Viewed by 1570
Abstract
This study employs k-means clustering to analyze local organizations responsible for land improvement in Greece, identifying four distinct groups with consistent geographic patterns but divergent financial and operational characteristics. By integrating unsupervised machine learning with spatial analysis, the research offers a novel perspective [...] Read more.
This study employs k-means clustering to analyze local organizations responsible for land improvement in Greece, identifying four distinct groups with consistent geographic patterns but divergent financial and operational characteristics. By integrating unsupervised machine learning with spatial analysis, the research offers a novel perspective on irrigation water pricing and cost recovery. The findings reveal that organizations located on islands, despite high water costs due to limited rainfall and geographic isolation, tend to achieve relatively strong financial performance, indicating the presence of adaptive mechanisms that could inform broader policy strategies. In contrast, organizations managing extensive irrigable land or large volumes of water frequently show poor cost recovery, challenging assumptions about economies of scale and revealing inefficiencies in pricing or governance structures. The spatial coherence of the clusters underscores the importance of geography in shaping institutional outcomes, reaffirming that environmental and locational factors can offer greater explanatory power than algorithmic models alone. This highlights the need for water management policies that move beyond uniform national strategies and instead reflect regional climatic, infrastructural, and economic variability. The study suggests several policy directions, including targeted infrastructure investment, locally calibrated water pricing models, and performance benchmarking based on successful organizational practices. Although grounded in the Greek context, the methodology and insights are transferable to other European and Mediterranean regions facing similar water governance challenges. Recognizing the limitations of the current analysis—including gaps in data consistency and the exclusion of socio-environmental indicators—the study advocates for future research incorporating broader variables and international comparative approaches. Ultimately, it supports a hybrid policy framework that combines data-driven analysis with spatial intelligence to promote sustainability, equity, and financial viability in agricultural water management. Full article
(This article belongs to the Special Issue Balancing Competing Demands for Sustainable Water Development)
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23 pages, 8525 KB  
Article
Defining Rural Types Nearby Large Cities from the Perspective of Urban–Rural Integration: A Case Study of Xi’an Metropolitan Area, China
by Xiji Jiang, Jiaxin Sun, Tianzi Zhang, Qian Li, Yan Ma, Wen Qu, Dan Ye and Zhendong Lei
Land 2025, 14(3), 602; https://doi.org/10.3390/land14030602 - 13 Mar 2025
Cited by 5 | Viewed by 2959
Abstract
Urban–rural integration (URI) is essential to achieving sustainable development. However, the rural areas surrounding large cities typically have a large scale and significant differences in development conditions. It is necessary to formulate rural development policies by category to better promote the integrated development [...] Read more.
Urban–rural integration (URI) is essential to achieving sustainable development. However, the rural areas surrounding large cities typically have a large scale and significant differences in development conditions. It is necessary to formulate rural development policies by category to better promote the integrated development between urban and rural areas, stimulate rural vitality, and create more significant opportunities for rural development. This study constructs an evaluation system for rural areas under URI, using the Xi’an metropolitan area as a case study. A clustering algorithm enhanced by the random forest (RF)–principal component analysis (PCA)–partitioning around medoids (PAM) method is applied to evaluate rural integration comprehensively. Key findings in this study include the following: (i) URI should be decoupled from administrative divisions, considering the complex impacts of multi-town functional spillover; (ii) ecological environment, economic development, public service allocation, and construction land supply are key factors influencing URI; (iii) the overall URI index in the Xi’an metropolitan area presents a “high in the center, low in the east and west” pattern. The rural areas with high URI index are around Xi’an and Xianyang, while other cities show insufficient communication with neighboring villages; (iv) rural areas can be categorized into four types of integration: ecological, ecological–economic, ecological–social–spatial, and ecological–economic–social–spatial, which exhibit an outward expansion of layers and extension along the east–west axis in the spatial structure of integration. Finally, differential development policies and suggestions for promoting urban–rural integration are put forward because of the different types of rural villages. This paper provides a framework for formulating rural development policies, significantly deepening urban–rural integration. Full article
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18 pages, 4574 KB  
Article
Spatio-Temporal Generalization of VIS-NIR-SWIR Spectral Models for Nitrogen Prediction in Sugarcane Leaves
by Carlos Augusto Alves Cardoso Silva, Rodnei Rizzo, Marcelo Andrade da Silva, Matheus Luís Caron and Peterson Ricardo Fiorio
Remote Sens. 2024, 16(22), 4250; https://doi.org/10.3390/rs16224250 - 14 Nov 2024
Cited by 4 | Viewed by 1741
Abstract
Nitrogen fertilization is a challenging task that usually requires intensive use of resources, such as fertilizers, management and water. This study explored the potential of VIS-NIR-SWIR remote sensing for quantifying leaf nitrogen content (LNC) in sugarcane from different regions and vegetative stages. Conducted [...] Read more.
Nitrogen fertilization is a challenging task that usually requires intensive use of resources, such as fertilizers, management and water. This study explored the potential of VIS-NIR-SWIR remote sensing for quantifying leaf nitrogen content (LNC) in sugarcane from different regions and vegetative stages. Conducted in three regions of São Paulo, Brazil (Jaú, Piracicaba and Santa Maria), the research involved three experiments, one per location. The spectral data were obtained at 140, 170, 200, 230 and 260 days after cutting (DAC). From the hyperspectral data, clustering analysis was performed to identify the patterns between the spectral bands for each region where the spectral readings were made, using the Partitioning Around Medoids (PAM) algorithm. Then, the LNC values were used to generate spectral models using Partial Least Squares Regression (PLSR). Subsequently, the generalization of the models was tested with the leave-one-date-out cross-validation (LOOCV) technique. The results showed that although the variation in leaf N was small, the sensor demonstrated the ability to detect these variations. Furthermore, it was possible to determine the influence of N concentrations on the leaf spectra and how this impacted cluster formation. It was observed that the greater the average variation in N content in each cluster, the better defined and denser the groups formed were. The best time to quantify N concentrations was at 140 DAC (R2 = 0.90 and RMSE = 0.74 g kg−1). From LOOCV, the areas with sandier soil texture presented a lower model performance compared to areas with clayey soil, with R2 < 0.54. The spatial generalization of the models recorded the best performance at 140 DAC (R2 = 0.69, RMSE = 1.18 g kg−1 and dr = 0.61), decreasing in accuracy at the crop-maturation stage (260 DAC), R2 of 0.05, RMSE of 1.73 g kg−1 and dr of 0.38. Although the technique needs further studies to be improved, our results demonstrated potential, which tends to provide support and benefits for the quantification of nutrients in sugarcane in the long term. Full article
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21 pages, 1066 KB  
Article
Research on a Three-Stage Dynamic Reactive Power Optimization Decoupling Strategy for Active Distribution Networks with Carbon Emissions
by Yuezhong Wu, Yujie Xiong, Xiaowei Peng, Cheng Cai and Xiangming Zheng
Energies 2024, 17(11), 2774; https://doi.org/10.3390/en17112774 - 5 Jun 2024
Cited by 5 | Viewed by 1597
Abstract
The reactive power optimization of an active distribution network can effectively deal with the problem of voltage overflows at some nodes caused by the integration of a high proportion of distributed sources into the distribution network. Aiming to address the limitations in previous [...] Read more.
The reactive power optimization of an active distribution network can effectively deal with the problem of voltage overflows at some nodes caused by the integration of a high proportion of distributed sources into the distribution network. Aiming to address the limitations in previous studies of dynamic reactive power optimization using the cluster partitioning method, a three-stage dynamic reactive power optimization decoupling strategy for active distribution networks considering carbon emissions is proposed in this paper. First, a carbon emission index is proposed based on the carbon emission intensity, and a dynamic reactive power optimization mathematical model of an active distribution network is established with the minimum active power network loss, voltage deviation, and carbon emissions as the satisfaction objective functions. Second, in order to satisfy the requirement for the all-day motion times of discrete devices, a three-stage dynamic reactive power optimization decoupling strategy based on the partitioning around a medoids clustering algorithm is proposed. Finally, taking the improved IEEE33 and PG&E69-node distribution network systems as examples, the proposed linear decreasing mutation particle swarm optimization algorithm was used to solve the mathematical model. The results show that all the indicators of the proposed strategy and algorithm throughout the day are lower than those of other methods, which verifies the effectiveness of the proposed strategy and algorithm. Full article
(This article belongs to the Section A1: Smart Grids and Microgrids)
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18 pages, 4152 KB  
Article
Significant Improvement in Soil Organic Carbon Estimation Using Data-Driven Machine Learning Based on Habitat Patches
by Wenping Yu, Wei Zhou, Ting Wang, Jieyun Xiao, Yao Peng, Haoran Li and Yuechen Li
Remote Sens. 2024, 16(4), 688; https://doi.org/10.3390/rs16040688 - 15 Feb 2024
Cited by 7 | Viewed by 3508
Abstract
Soil organic carbon (SOC) is generally thought to act as a carbon sink; however, in areas with high spatial heterogeneity, using a single model to estimate the SOC of the whole study area will greatly reduce the simulation accuracy. The earth surface unit [...] Read more.
Soil organic carbon (SOC) is generally thought to act as a carbon sink; however, in areas with high spatial heterogeneity, using a single model to estimate the SOC of the whole study area will greatly reduce the simulation accuracy. The earth surface unit division is important to consider in building different models. Here, we divided the research area into different habitat patches using partitioning around a medoids clustering (PAM) algorithm; then, we built an SOC simulation model using machine learning algorithms. The results showed that three habitat patches were created. The simulation accuracy for Habitat Patch 1 (R2 = 0.55; RMSE = 2.89) and Habitat Patch 3 (R2 = 0.47; RMSE = 3.94) using the XGBoost model was higher than that for the whole study area (R2 = 0.44; RMSE = 4.35); although the R2 increased by 25% and 6.8%, the RMSE decreased by 33.6% and 9.4%, and the field sample points significantly declined by 70% and 74%. The R2 of Habitat Patch 2 using the RF model increased by 17.1%, and the RMSE also decreased by 10.5%; however, the sample points significantly declined by 58%. Therefore, using different models for corresponding patches will significantly increase the SOC simulation accuracy over using one model for the whole study area. This will provide scientific guidance for SOC or soil property monitoring with low field survey costs and high simulation accuracy. Full article
(This article belongs to the Special Issue Remote Sensing for Advancing Nature-Based Climate Solutions)
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10 pages, 829 KB  
Article
Comparison of Unsupervised Machine Learning Approaches for Cluster Analysis to Define Subgroups of Heart Failure with Preserved Ejection Fraction with Different Outcomes
by Hirmand Nouraei, Hooman Nouraei and Simon W. Rabkin
Bioengineering 2022, 9(4), 175; https://doi.org/10.3390/bioengineering9040175 - 16 Apr 2022
Cited by 29 | Viewed by 4890
Abstract
Heart failure with preserved ejection (HFpEF) is a heterogenous condition affecting nearly half of all patients with heart failure (HF). Artificial intelligence methodologies can be useful to identify patient subclassifications with important clinical implications. We sought a comparison of different machine learning (ML) [...] Read more.
Heart failure with preserved ejection (HFpEF) is a heterogenous condition affecting nearly half of all patients with heart failure (HF). Artificial intelligence methodologies can be useful to identify patient subclassifications with important clinical implications. We sought a comparison of different machine learning (ML) techniques and clustering capabilities in defining meaningful subsets of patients with HFpEF. Three unsupervised clustering strategies, hierarchical clustering, K-prototype, and partitioning around medoids (PAM), were used to identify distinct clusters in patients with HFpEF, based on a wide range of demographic, laboratory, and clinical parameters. The study population had a median age of 77 years, with a female majority, and moderate diastolic dysfunction. Hierarchical clustering produced six groups but two were too small (two and seven cases) to be clinically meaningful. The K-prototype methods produced clusters in which several clinical and biochemical features did not show statistically significant differences and there was significant overlap between the clusters. The PAM methodology provided the best group separations and identified six mutually exclusive groups (HFpEF1-6) with statistically significant differences in patient characteristics and outcomes. Comparison of three different unsupervised ML clustering strategies, hierarchical clustering, K-prototype, and partitioning around medoids (PAM), was performed on a mixed dataset of patients with HFpEF containing clinical and numerical data. The PAM method identified six distinct subsets of patients with HFpEF with different long-term outcomes or mortality. By comparison, the two other clustering algorithms, the hierarchical clustering and K-prototype, were less optimal. Full article
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24 pages, 7868 KB  
Article
Malaysia PM10 Air Quality Time Series Clustering Based on Dynamic Time Warping
by Fatin Nur Afiqah Suris, Mohd Aftar Abu Bakar, Noratiqah Mohd Ariff, Mohd Shahrul Mohd Nadzir and Kamarulzaman Ibrahim
Atmosphere 2022, 13(4), 503; https://doi.org/10.3390/atmos13040503 - 22 Mar 2022
Cited by 32 | Viewed by 7573
Abstract
Air quality monitoring is important in the management of the environment and pollution. In this study, time series of PM10 from air quality monitoring stations in Malaysia were clustered based on similarity in terms of time series patterns. The identified clusters were [...] Read more.
Air quality monitoring is important in the management of the environment and pollution. In this study, time series of PM10 from air quality monitoring stations in Malaysia were clustered based on similarity in terms of time series patterns. The identified clusters were analyzed to gain meaningful information regarding air quality patterns in Malaysia and to identify characterization for each cluster. PM10 time series data from 5 July 2017 to 31 January 2019, obtained from the Malaysian Department of Environment and Dynamic Time Warping as the dissimilarity measure were used in this study. At the same time, k-Means, Partitioning Around Medoid, agglomerative hierarchical clustering, and Fuzzy k-Means were the algorithms used for clustering. The results portray that the categories and activities of locations of the monitoring stations do not directly influence the pattern of the PM10 values, instead, the clusters formed are mainly influenced by the region and geographical area of the locations. Full article
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16 pages, 1290 KB  
Article
Bootstrapped DEA and Clustering Analysis of Eco-Efficiency in China’s Hotel Industry
by Yang Li, An-Chi Liu, Yi-Ying Yu, Yueru Zhang, Yiting Zhan and Wen-Cheng Lin
Sustainability 2022, 14(5), 2925; https://doi.org/10.3390/su14052925 - 2 Mar 2022
Cited by 18 | Viewed by 4081
Abstract
As one of the world’s largest and fastest growing industries, tourism is facing the challenge of balancing growth and eco-environmental protection. Taking tourism CO2 emissions as undesirable outputs, this research employs the bootstrapping data envelopment analysis (DEA) approach to measure the eco-efficiency [...] Read more.
As one of the world’s largest and fastest growing industries, tourism is facing the challenge of balancing growth and eco-environmental protection. Taking tourism CO2 emissions as undesirable outputs, this research employs the bootstrapping data envelopment analysis (DEA) approach to measure the eco-efficiency of China’s hotel industry. Using a dataset consisting of 31 provinces in the period 2016–2019, the bootstrapping-based test validates that the technology exhibits variable returns to scale. The partitioning around medoids (PAM) algorithm, based on the bootstrap samples of eco-efficiency, clusters China’s hotel industry into two groups: Cluster 1 with Shandong as the representative medoid consists of half of the superior coastal provinces and half of the competitive inland provinces, while Cluster 2 is less efficient with Jiangsu as the representative medoid. Therefore, it is suggested that the China government conduct a survey of only Shandong and Jiangsu to approximately capture the key characteristics of the domestic hotel industry’s eco-efficiency in order to formulate appropriate sustainable development policies. Lastly, biased upward eco-efficiencies may provide incorrect information and misguide managerial and/or policy implications. Full article
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25 pages, 5515 KB  
Article
Using Real-Time Data and Unsupervised Machine Learning Techniques to Study Large-Scale Spatio–Temporal Characteristics of Wastewater Discharges and their Influence on Surface Water Quality in the Yangtze River Basin
by Zhenzhen Di, Miao Chang, Peikun Guo, Yang Li and Yin Chang
Water 2019, 11(6), 1268; https://doi.org/10.3390/w11061268 - 17 Jun 2019
Cited by 21 | Viewed by 4992
Abstract
Most worldwide industrial wastewater, including in China, is still directly discharged to aquatic environments without adequate treatment. Because of a lack of data and few methods, the relationships between pollutants discharged in wastewater and those in surface water have not been fully revealed [...] Read more.
Most worldwide industrial wastewater, including in China, is still directly discharged to aquatic environments without adequate treatment. Because of a lack of data and few methods, the relationships between pollutants discharged in wastewater and those in surface water have not been fully revealed and unsupervised machine learning techniques, such as clustering algorithms, have been neglected in related research fields. In this study, real-time monitoring data for chemical oxygen demand (COD), ammonia nitrogen (NH3-N), pH, and dissolved oxygen in the wastewater discharged from 2213 factories and in the surface water at 18 monitoring sections (sites) in 7 administrative regions in the Yangtze River Basin from 2016 to 2017 were collected and analyzed by the partitioning around medoids (PAM) and expectation–maximization (EM) clustering algorithms, Welch t-test, Wilcoxon test, and Spearman correlation. The results showed that compared with the spatial cluster comprising unpolluted sites, the spatial cluster comprised heavily polluted sites where more wastewater was discharged had relatively high COD (>100 mg L−1) and NH3-N (>6 mg L−1) concentrations and relatively low pH (<6) from 15 industrial classes that respected the different discharge limits outlined in the pollutant discharge standards. The results also showed that the economic activities generating wastewater and the geographical distribution of the heavily polluted wastewater changed from 2016 to 2017, such that the concentration ranges of pollutants in discharges widened and the contributions from some emerging enterprises became more important. The correlations between the quality of the wastewater and the surface water strengthened as the whole-year data sets were reduced to the heavily polluted periods by the EM clustering and water quality evaluation. This study demonstrates how unsupervised machine learning algorithms play an objective and effective role in data mining real-time monitoring information and highlighting spatio–temporal relationships between pollutants in wastewater discharges and surface water to support scientific water resource management. Full article
(This article belongs to the Section Water Resources Management, Policy and Governance)
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17 pages, 3077 KB  
Article
A Parallel Architecture for the Partitioning around Medoids (PAM) Algorithm for Scalable Multi-Core Processor Implementation with Applications in Healthcare
by Hassan Mushtaq, Sajid Gul Khawaja, Muhammad Usman Akram, Amanullah Yasin, Muhammad Muzammal, Shehzad Khalid and Shoab Ahmad Khan
Sensors 2018, 18(12), 4129; https://doi.org/10.3390/s18124129 - 25 Nov 2018
Cited by 11 | Viewed by 5836
Abstract
Clustering is the most common method for organizing unlabeled data into its natural groups (called clusters), based on similarity (in some sense or another) among data objects. The Partitioning Around Medoids (PAM) algorithm belongs to the partitioning-based methods of clustering widely used for [...] Read more.
Clustering is the most common method for organizing unlabeled data into its natural groups (called clusters), based on similarity (in some sense or another) among data objects. The Partitioning Around Medoids (PAM) algorithm belongs to the partitioning-based methods of clustering widely used for objects categorization, image analysis, bioinformatics and data compression, but due to its high time complexity, the PAM algorithm cannot be used with large datasets or in any embedded or real-time application. In this work, we propose a simple and scalable parallel architecture for the PAM algorithm to reduce its running time. This architecture can easily be implemented either on a multi-core processor system to deal with big data or on a reconfigurable hardware platform, such as FPGA and MPSoCs, which makes it suitable for real-time clustering applications. Our proposed model partitions data equally among multiple processing cores. Each core executes the same sequence of tasks simultaneously on its respective data subset and shares intermediate results with other cores to produce results. Experiments show that the computational complexity of the PAM algorithm is reduced exponentially as we increase the number of cores working in parallel. It is also observed that the speedup graph of our proposed model becomes more linear with the increase in number of data points and as the clusters become more uniform. The results also demonstrate that the proposed architecture produces the same results as the actual PAM algorithm, but with reduced computational complexity. Full article
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