Results 51 to 60 of about 9,784 (260)
Incoherent Tensor Norms and Their Applications in Higher Order Tensor Completion [PDF]
In this paper, we investigate the sample size requirement for a general class of nuclear norm minimization methods for higher order tensor completion. We introduce a class of tensor norms by allowing for different levels of coherence, which allows us to leverage the incoherence of a tensor.
Ming Yuan 0001, Cun-Hui Zhang
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ABSTRACT Introduction The use of herbal medical preparation (HMP) is rising among pediatric oncology patients, often to manage treatment‐related symptoms. Their effectiveness remains uncertain, and the risk of herb–drug interactions is underestimated.
Orianne Mahot +6 more
wiley +1 more source
A Hybrid Norm for Guaranteed Tensor Recovery
Benefiting from the superiority of tensor Singular Value Decomposition (t-SVD) in excavating low-rankness in the spectral domain over other tensor decompositions (like Tucker decomposition), t-SVD-based tensor learning has shown promising performance and
Yihao Luo +5 more
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ABSTRACT The International Paediatric Oncology Society Global Mapping Programme aims to collect data on global paediatric oncology services by continent, with Africa and Latin America completed. This study reports on the methodology and lessons learned for Oceania, a unique continent with resource disparity across countries, multiple small island ...
Trisha Soosay Raj +16 more
wiley +1 more source
Multi-Directional Tensor Average Rank Regularization for High-Order Tensor Completion
Recently, the high-order tensor Singular Value Decomposition (t-SVD) and the t-SVD rank has achieved great success in tensor completion. However, the t-SVD rank lacks the flexibility to capture the correlations between different modes of a high-order ...
Zixuan Han, Mingjian Gu, Yong Hu
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Noisy tensor completion for tensors with a sparse canonical polyadic factor [PDF]
In this paper we study the problem of noisy tensor completion for tensors that admit a canonical polyadic or CANDECOMP/PARAFAC (CP) decomposition with one of the factors being sparse. We present general theoretical error bounds for an estimate obtained by using a complexity-regularized maximum likelihood principle and then instantiate these bounds for ...
Swayambhoo Jain +2 more
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ABSTRACT Background Japan's 2024 physician work‐style reform introduced legally binding limits on physicians’ working hours, but its impact on education and workforce sustainability in pediatric hematology–oncology (PHO) remains unclear. Procedure We conducted a repeated cross‐sectional study with structured quantitative items and free‐text responses ...
Kiyohiko Kaizu +7 more
wiley +1 more source
To improve the accuracy of color image completion with missing entries, we present a recovery method based on generalized higher-order scalars. We extend the traditional second-order matrix model to a more comprehensive higher-order matrix equivalent ...
Liang Liao +9 more
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Reciprocal control of viral infection and phosphoinositide dynamics
Phosphoinositides, although scarce, regulate key cellular processes, including membrane dynamics and signaling. Viruses exploit these lipids to support their entry, replication, assembly, and egress. The central role of phosphoinositides in infection highlights phosphoinositide metabolism as a promising antiviral target.
Marie Déborah Bancilhon, Bruno Mesmin
wiley +1 more source
Tensor Completion Using Kronecker Rank-1 Tensor Train With Application to Visual Data Inpainting
The problem of data reconstruction with partly sampled elements under a tensor structure, which is referred to as tensor completion, is addressed in this paper.
Weize Sun, Yuan Chen, Hing Cheung So
doaj +1 more source

