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Advanced Science, EarlyView.This study introduces a foundation model‐based biomarker for risk stratification of pathological response in non‐small cell lung cancer. A Vision Mamba super‐resolution model standardizes heterogeneous CT images. A multi‐task Swin Transformer then fine‐tunes a pre‐trained lung foundation model to jointly optimize tumor segmentation and response ...
Yanglan Xu +10 more
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Breaking down per- and polyfluoroalkyl substances (PFAS): tackling multitudes of correlated electrons. [PDF]
Chem SciRask AE +18 more
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Comparison of Zirconia Implant Surface Modifications for Optimal Osseointegration. [PDF]
J Funct BiomaterJin HW, Noumbissi S, Wiedemann TG.
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Enhanced Sequence-Activity Mapping and Evolution of Artificial Metalloenzymes by Active Learning
Vornholt T +8 more
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Decompositions of determinantal varieties
Frontiers of Mathematics in China, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hongzhu Gao, Xiaole Su, Gao Hongzhu
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Determinantal varieties and symmetric polynomials
Functional Analysis and Its Applications, 1987The paper is a research announcement of some of the author's recent results concerning degeneracy loci. Let X be a scheme over a field and \(\phi: F\to E\) a morphism of vector bundles over X. For every \(r\geq 0\) the degeneracy locus of rank r associated with \(\phi\) is defined as \(D_ r(\phi)=\{x\in X,\quad rk(\phi (x))\leq r\}.\) In analogy with ...
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Linear Sections of Determinantal Varieties
American Journal of Mathematics, 1988The author develops an elegant general approach in order to study a genericity property of determinantal varieties, which has several applications. Regarding a surjective pairing \(\mu:\quad A\otimes B\to C\) of finite dimensional vector spaces over an algebraically closed field as a subspace M of \(Hom(A^*,B)\), the author says that M is k-generic if ...
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Linear sections of determinantal varieties
Theoretical and Natural ScienceDenote Mmn(k) to be the set of all m n matrices over k, and PMmn(k) to be its affine space. Let Dm,n,r PMmn(k) be the subvariety consisting of the projective classes of all m n matrices with rank less than or equal to r. We study the minimal integer k > 0 such that for any linear subspace L of dimension k in PMmn(k), Dm,n,r L = .
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Local Euler obstructions and Chern–Mather classes of determinantal varieties
Communications in Algebra, 2021Xiping Zhang
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