Existence of solutions for semilinear differential equations with nonlocal conditions in Banach spaces

This paper is concerned with semilinear differential equations with nonlocal conditions in Banach spaces. Using the tools involving the measure of noncompactness and fixed point theory, existence of mild solutions is obtained without the assumption of compactness or equicontinuity on the associated linear semigroup

Morphology-inspired Unsupervised Gland Segmentation via Selective Semantic Grouping

Designing deep learning algorithms for gland segmentation is crucial for automatic cancer diagnosis and prognosis, yet the expensive annotation cost hinders the development and application of this technology. In this paper, we make a first attempt to explore a deep learning method for unsupervised gland segmentation, where no manual annotations are required. Existing unsupervised semantic segmentation methods encounter a huge challenge on gland images: They either over-segment a gland into many fractions or under-segment the gland regions by confusing many of them with the background. To overcome this challenge, our key insight is to introduce an empirical cue about gland morphology as extra knowledge to guide the segmentation process. To this end, we propose a novel Morphology-inspired method via Selective Semantic Grouping. We first leverage the empirical cue to selectively mine out proposals for gland sub-regions with variant appearances. Then, a Morphology-aware Semantic Grouping module is employed to summarize the overall information about the gland by explicitly grouping the semantics of its sub-region proposals. In this way, the final segmentation network could learn comprehensive knowledge about glands and produce well-delineated, complete predictions. We conduct experiments on GlaS dataset and CRAG dataset. Our method exceeds the second-best counterpart over 10.56% at mIOU.Comment: MICCAI 2023 Accepte

Experimental of Mechanical Properties and Gas Flow of Containing-Gas Coal Under Different Unloading Speeds of Confining Pressure

AbstractBased on self-developed “Triaxial Stress Thermal-hydrological-mechanical Coal Gas Permeameter”, the experiment of the influence of different unloading speeds on mechanism and gas seepage features of containing gas coal is carried out, with the condition of initial confining pressure 6MPa and gas pressure 1.0MPa. It shows that: with the increasing of unloading speed of confining pressure, the time of coal maintaining at a stress plateau phase reduces, and it tends to 0, and the easier coal is to be fail After the start of unloading confining pressure, the time of coal maintaining in the stage of stress plateau showed a power function relation with unloading speed of confining pressure. In this study, the speed can be classified into three regions in text: the low speed region of unload confining pressure, the intermediate speed region and the high speed region. In the three speed regions, the confining pressure, when coal fails, is lowest in the low unloading speed of confining pressure, middle in the intermediate unloading speed region, and highest in the high unloading speed region