We propose a novel convex prior for multilabel optimization which allows to impose arbitrary distances between labels. Only symmetry, d(i, j) ≥ 0 and d(i, i) = 0 are required. In contrast to previous grid based approaches for the nonmetric case, the proposed prior is formulated in the continuous setting avoiding grid artifacts. In particular, the model is easy to implement, provides a convex re...

We give a sufficient condition for a first order infinitesimal deformation of a curve on a 3-fold to be obstructed. As application we construct generically non-reduced components of the Hilbert schemes of uniruled 3-folds and the Hom scheme from a general curve of genus five to a general cubic 3-fold.

We consider a family of slightly extended version of the Raynaud’s surfaces X over the field of positive characteristic with Mumford-Szpiro type polarizations Z, which have Kodaira non-vanishing H(X,Z) 6= 0. The surfaces are at least normal but smooth under a special condition. We compute the cohomologies H(X,Z) for i, n ∈ Z and study their (non-)vanishing. Finally, we give a fairly large famil...

By a combination of geometrical and configurational analysis we study the properties of absolute minimal and equilibrium states of general Mumford-Shah functionals, with applications to models of quasistatic brittle fracture propagation. The main results concern the mathematical relations between physical quantities as energy release rate and energy concentration for 3D cracks with complex shap...

Arguing against the claim that every dispositional property is grounded in some property other than itself, Stephen Mumford presents what he calls the ‘Ungrounded Argument’. If successful, the Ungrounded Argument would represent a major victory for anti-Humean metaphysics against its Humean rivals, as it would allow for the existence of primitive modality. Unfortunately, Humeans need not yet be...

We prove that, if u is a function satisfying all Euler conditions for the Mumford-Shah functional and the discontinuity set of u is given by three line segments meeting at the origin with equal angles, then there exists a neighbourhood U of the origin such that u is a minimizer of the Mumford-Shah functional on U with respect to its own boundary conditions on ∂U . The proof is obtained by using...

Mohamad Khairuzzaman Mohamad Zamani, Ismail Musirin, Mohamad Sabri Omar, Saiful Izwan Suliman, Nor Azura Md. Ghani, Nur Azwan Mohamed Kamari Faculty of Electrical Engineering, Universiti Teknologi MARA, 40000 Shah Alam, Selangor, Malaysia Faculty of Computer & Mathematical Sciences, Universiti Teknologi MARA, 40000 Shah Alam, Selangor, Malaysia Department of Electrical, Electronic & Systems Eng...