Results 51 to 60 of about 302,520 (264)
Low-rank density-matrix evolution for noisy quantum circuits
In this work, we present an efficient rank-compression approach for the classical simulation of Kraus decoherence channels in noisy quantum circuits. The approximation is achieved through iterative compression of the density matrix based on its leading ...
Yi-Ting Chen +2 more
doaj +1 more source
On the Column and Row Ranks of a Matrix
arXiv admin note: substantial text overlap with arXiv:2107.02579, arXiv:2105 ...
openaire +2 more sources
The physical dimensions and shape of bacterial cells define the surface area available to acquire nutrients and the volume available for synthesizing proteins and DNA. Here, we use computational systems biology to decode the importance of cell geometry as a major determinant of prokaryotic phenotype, including growth rate and metabolic efficiency. This
Ross P. Carlson +6 more
wiley +1 more source
Lower bounds for the low-rank matrix approximation
Low-rank matrix recovery is an active topic drawing the attention of many researchers. It addresses the problem of approximating the observed data matrix by an unknown low-rank matrix. Suppose that A is a low-rank matrix approximation of D, where D and A
Jicheng Li, Zisheng Liu, Guo Li
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Proteostasis and the gut microbiota play a key role in shaping host physiology. Microbiota‐derived metabolites, vitamins, and RNA modulate host proteostasis. Findings from model systems, including C. elegans, indicate microbes can either stabilize or disrupt host proteostasis.
Abhishek Anil Dubey, Maria Ermolaeva
wiley +1 more source
Dickson Matrix Based Construction of Linear Maximum Rank Distance Codes
Maximum rank distance (MRD for short) codes lately attract more attention due to their various applications in storage systems, network coding, cryptography and space time coding.
Shu Liu, Yaxin Zhang
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Matrix completion and tensor rank [PDF]
In this paper, we show that the low rank matrix completion problem can be reduced to the problem of finding the rank of a certain tensor.
openaire +2 more sources
From mice to humans—divergent strategies for intestinal homeostasis and regeneration
Recent advances such as organoid genome editing, xenotransplantation, imaging, and whole‐genome sequencing have enabled direct studies of human intestinal stem cells (ISCs). These studies reveal species‐specific features, including slower ISC proliferation, distinct injury responses, slower somatic mutation accumulation in humans, and an inverse ...
Keiko Ishikawa +2 more
wiley +1 more source
Modelling stem cell differentiation related processes—A practical overview for biologists
Stem cell differentiation is complex and difficult to control experimentally. This review introduces suitable computational modelling approaches that can support stem cell research, from mechanistic ODE and abstract models to multiscale and deep learning methods.
Ricco Zeegelaar +4 more
wiley +1 more source
This paper is focused on the efficient algorithm design for affine rank minimization (ARM) and compressed robust principal component analysis (CRPCA). Given the proliferation of the literature on the ARM and CRPCA problems, the existing algorithms mostly
Xuehai He, Zhipeng Xue, Xiaojun Yuan
doaj +1 more source

