Pairwise Nearest Neighbor Clustering Method Revisited: Speedup methods, Best clustering results in respect of the minimization ,Used

Pairwise Nearest Neighbor Clustering Method Revisited: Speedup methods, Best clustering results in respect of the minimization ,Used

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Clustering is important problem that must be solved as a part of more complicated task in pattern recognition, image analysis and many other fields of science and engineering. The pairwise nearest neighbor method, also known as Ward's method belongs to the class of agglomerative clustering methods. The PNN method generates hierarchical clustering using a sequence of merge operations until the designed number of clusters is obtained. This method selects the cluster pair to be merged so that it increases the given objective function value least. We consider several speedup methods for the PNN method, e.g., we utilize a kneighborhood graph for reducing distance calculations. The PNN method can also be adapted for multilevel thresholding, which can be seen as a 1dimensional special case of the clustering problem. The merge philosophy is also extended, by using the iterative shrinking method. In this way, we get better clustering results. The proposed method is also used as a crossover method in a genetic algorithm, which produces the best clustering results. The PNN algorithm can also be applied to generating optimal clustering.

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We ship your order within 2–3 business days for USA deliveries and 5–8 business days for international shipments. Once your package has been dispatched from our warehouse, you'll receive an email confirmation with a tracking number, allowing you to track the status of your delivery.

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To facilitate a smooth return process, a Return Authorization (RA) Number is required for all returns. Returns without a valid RA number will be declined and may incur additional fees. You can request an RA number within 15 days of the original delivery date. For more details, please refer to our Return & Refund Policy page.

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We provide a 2-year limited warranty, from the date of purchase for all our products.

If you believe you have received a defective product, or are experiencing any problems with your product, please contact us.

This warranty strictly does not cover damages that arose from negligence, misuse, wear and tear, or not in accordance with product instructions (dropping the product, etc.).

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