Interpretable and generalizable deep learning model for preoperative assessment of microvascular invasion and outcome in hepatocellular carcinoma based on MRI: a multicenter study. [PDF]
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Lidskii's Theorem via Nonsmooth Analysis
SIAM Journal on Matrix Analysis and Applications, 2000Summary: Lidskii's theorem on eigenvalue perturbation is proved via a nonsmooth mean value theorem.
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Analysis and Optimization of Nonsmooth Arches
SIAM Journal on Control and Optimization, 2002The Kirchoff-Love model for a smooth clamped arch is considered first. A new treatment for that classical model is developed. A variational formulation, based on optimal control theory, is introduced and, using duality-type arguments, the deformation of the arches are explicitly expressed by integral formulas.
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Nonsmooth analysis of eigenvalues
Mathematical Programming, 1999Subdifferentials (limiting Fréchet, Clarke) of the composition \(f\circ \lambda \) of extended real valued permutation invariant functions \(f\) and the eigenvalue vector function \(\lambda \) of a symmetric matrix \(X\) are calculated using the transformation to principles axes.
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Elements of Nonsmooth Analysis
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