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Interpretability of Machine Intelligence in Medical Image Computing, and Topological Data Analysis and Its Applications for Medical Data : 4th International Workshop, iMIMIC 2021, and 1st International Workshop, TDA4MedicalData 2021, He...最新文献

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Interpretability of Machine Intelligence in Medical Image Computing: 5th International Workshop, iMIMIC 2022, Held in Conjunction with MICCAI 2022, Singapore, Singapore, September 22, 2022, Proceedings 医学图像计算中机器智能的可解释性:第五届国际研讨会,iMIMIC 2022,与MICCAI 2022一起举行,新加坡,新加坡,2022年9月22日,会议录
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引用次数: 1
Lattice Paths for Persistent Diagrams. 持久化图的点阵路径。
Moo K Chung, Hernando Ombao

Persistent homology has undergone significant development in recent years. However, one outstanding challenge is to build a coherent statistical inference procedure on persistent diagrams. In this paper, we first present a new lattice path representation for persistent diagrams. We then develop a new exact statistical inference procedure for lattice paths via combinatorial enumerations. The lattice path method is applied to the topological characterization of the protein structures of the COVID-19 virus. We demonstrate that there are topological changes during the conformational change of spike proteins.

近年来,持久性同源性研究取得了重大进展。然而,一个突出的挑战是在持久图上构建连贯的统计推断过程。本文首先提出了一种新的持久化图的点阵路径表示方法。然后,我们通过组合枚举开发了一种新的格路径精确统计推理程序。将点阵路径法应用于COVID-19病毒蛋白结构的拓扑表征。我们证明在刺突蛋白的构象变化过程中存在着拓扑结构的变化。
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引用次数: 7
Same But Different: Distance Correlations Between Topological Summaries 相同而不同:拓扑摘要之间的距离相关性
Katharine Turner, Gard Spreemann
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引用次数: 16
Canonical Stratifications Along Bisheaves 沿双海的典型分层
Vidit Nanda, A. Patel
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引用次数: 0
The Persistence Landscape and Some of Its Properties 持久性景观及其一些属性
Peter Bubenik
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引用次数: 49
Percolation on Homology Generators in Codimension One 余维1中同调发生器上的渗透
Y. Hiraoka, T. Mikami
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引用次数: 2
Hyperplane Neural Codes and the Polar Complex 超平面神经编码和极性复合体
V. Itskov, Alex Kunin, Zvi Rosen
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引用次数: 15
Neural Ring Homomorphisms and Maps Between Neural Codes 神经环同态与神经编码之间的映射
C. Curto, Nora Youngs
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引用次数: 14
期刊
Interpretability of Machine Intelligence in Medical Image Computing, and Topological Data Analysis and Its Applications for Medical Data : 4th International Workshop, iMIMIC 2021, and 1st International Workshop, TDA4MedicalData 2021, He...
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