Mathematical foundations and definitions specific to the Grassmann.jl implementation provide an extensible platform for computing with a universal language for finite element methods based on a ...

Abstract: Recently, low-rank embedding (LRE) has yielded satisfactory results in dimensionality reduction (DR), for which low-rank representation and projection learning are integrated into one model ...

Epistasis has been used to describe a number of phenomena, including the functional interaction between genes, the genetic outcome of mutations acting within the same genetic pathway, and the ...

Abstract: Considerable research achievements have been made in utilizing information granulation as an effective technique for addressing long-term time-series forecasting. However, existing studies ...

Sets, functions, and universal elements -- The integers -- Groups -- Rings -- Special fields -- Modules -- Vector spaces -- Matrices -- Determinants and tensor ...

"I like the authors' taste in footnotes, what with their frequent emphasis on history, i.e. the minutiae of the lives of many mathematicians appearing in these pages. Their remarks add a particular ...

Linear algebra is the foundation of science and engineering. Knowledge of linear algebra is a prerequisite for studying statistics, machine learning, computer graphics, signal processing, chemistry, ...

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During my Ph.D., I mainly worked on misinformation detection, applying multilinear (tensor) algebra along with a variety of NLP and vision techniques [11, 12, 13, 14]. I also worked on Deepfake video ...