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Nearly invariant subspaces and kernels of Toeplitz operators on the Hardy space over the bidisk

Autor: Zhu, Senhua, Liang, Yuxia

In this paper, the analysis of nearly invariant subspaces and kernels of Toeplitz operators on the Hardy space over the bidisk is developed. Firstly, we transcribe Chalendar, Chevrot and Partington's result to vector-valued Hardy space $H^{2}_{\ma{H}

Externí odkaz: http://arxiv.org/abs/2408.05991

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Which hyponormal block Toeplitz operators are either normal or analytic?

Autor: Zhu, Senhua, Lu, Yufeng, Zu, Chao

In this paper, we continue Curto-Hwang-Lee's work to study the connection between hyponormality and subnormality for block Toeplitz operators acting on the vector-valued Hardy space of the unit circle.Curto-Hwang-Lee's work focuses primarily on hypon

Externí odkaz: http://arxiv.org/abs/2308.01373

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Intrinsic Bias Identification on Medical Image Datasets

Autor: Zhang, Shijie, Wang, Lanjun, Ding, Lian, Liu, An-an, Zhu, Senhua, Tu, Dandan

Machine learning based medical image analysis highly depends on datasets. Biases in the dataset can be learned by the model and degrade the generalizability of the applications. There are studies on debiased models. However, scientists and practition

Externí odkaz: http://arxiv.org/abs/2203.12872

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DuCN: Dual-children Network for Medical Diagnosis and Similar Case Recommendation towards COVID-19

Autor: Peng, Chengtao, Long, Yunfei, Zhu, Senhua, Tu, Dandan, Li, Bin

Early detection of the coronavirus disease 2019 (COVID-19) helps to treat patients timely and increase the cure rate, thus further suppressing the spread of the disease. In this study, we propose a novel deep learning based detection and similar case

Externí odkaz: http://arxiv.org/abs/2108.01997

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