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Keywords = Choquet’s boundary

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17 pages, 9578 KB  
Article
Efficient Stain-Aware Nuclei Segmentation Deep Learning Framework for Multi-Center Histopathological Images
by Loay Hassan, Mohamed Abdel-Nasser, Adel Saleh, Osama A. Omer and Domenec Puig
Electronics 2021, 10(8), 954; https://doi.org/10.3390/electronics10080954 - 16 Apr 2021
Cited by 13 | Viewed by 3528
Abstract
Existing nuclei segmentation methods have obtained limited results with multi-center and multi-organ whole-slide images (WSIs) due to the use of different stains, scanners, overlapping, clumped nuclei, and the ambiguous boundary between adjacent cell nuclei. In an attempt to address these problems, we propose [...] Read more.
Existing nuclei segmentation methods have obtained limited results with multi-center and multi-organ whole-slide images (WSIs) due to the use of different stains, scanners, overlapping, clumped nuclei, and the ambiguous boundary between adjacent cell nuclei. In an attempt to address these problems, we propose an efficient stain-aware nuclei segmentation method based on deep learning for multi-center WSIs. Unlike all related works that exploit a single-stain template from the dataset to normalize WSIs, we propose an efficient algorithm to select a set of stain templates based on stain clustering. Individual deep learning models are trained based on each stain template, and then, an aggregation function based on the Choquet integral is employed to combine the segmentation masks of the individual models. With a challenging multi-center multi-organ WSIs dataset, the experimental results demonstrate that the proposed method outperforms the state-of-art nuclei segmentation methods with aggregated Jaccard index (AJI) and F1-scores of 73.23% and 89.32%, respectively, while achieving a lower number of parameters. Full article
(This article belongs to the Section Artificial Intelligence)
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11 pages, 350 KB  
Article
On the Equilibria of Generalized Dynamical Systems
by Vasile Postolică
Axioms 2012, 1(3), 384-394; https://doi.org/10.3390/axioms1030384 - 6 Dec 2012
Viewed by 4688
Abstract
This research work presents original properties of the equilibrium critical (ideal) points sets for an important class of generalized dynamical systems. The existence and significant results regarding such points are specified. Strong connections with the Vector Optimization by the Efficiency and the Potential [...] Read more.
This research work presents original properties of the equilibrium critical (ideal) points sets for an important class of generalized dynamical systems. The existence and significant results regarding such points are specified. Strong connections with the Vector Optimization by the Efficiency and the Potential Theory together with its applications following Choquet’s boundaries are provided. Full article
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