A. Huber and V. Kolmogorov (ISCO 2012) introduced a concept of k-submodular function as a generalization of ordinary submodular (set) functions and bisubmodular functions. They presented a min-max relation for the k-submodular function minimization by considering l1 norm, which requires a non-convex set of feasible solutions associated with the k-submodular function. Our approach overcomes the ...

Reconstructing complex permittivity profiles of dielectric objects from measurements of the microwave scattered field is a non-linear ill posed inverse problem. We analyze the performance of the Huber regularizer in the application, studying the influence of the parameters under different noise levels. Moreover, we evaluate the whole approach on real 3D electromagnetic measurements. Our focus i...

How do we search through our vast stores of knowledge to retrieve information demanded by the context and task at hand? Davelaar (this issue) finds that the words people report while searching for one word that is meaningfully associated with three cues (e.g., cues: comb, moon, dew; answer: honey; the Remote Associates Test, RAT) seem to be drawn from a superadditive combination of the semantic...

We provide a new computationally-efficient class of estimators for risk minimization. We show that these estimators are robust for general statistical models: in the classical Huber ǫ-contamination model and in heavy-tailed settings. Our workhorse is a novel robust variant of gradient descent, and we provide conditions under which our gradient descent variant provides accurate estimators in a g...

Refining results of David Burns and Cornelius Greither, respectively Annette Huber and Guido Kings, we formulate and prove an equivariant version of the main conjecture of Iwasawa theory for abelian number fields.

K Häußinger, H Becker, F Stanzel, A Kreuzer, B Schmidt, J Strausz, S Cavaliere, F Herth, M Kohlhäufl, K-M Müller, R-M Huber, U Pichlmeier, Ch T Bolliger . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...

There are multiple hereditary and non-hereditary polyposis syndromes that were originally categorized as adenomatous or hamartomatous. More recently, serrated polyps and their syndromes have been defined. Nearly all of these syndromes have a risk of colorectal cancer in the individuals and affected family members. Most of these syndromes are associated with extracolonic manifestations, includin...

1 METHODOLOGY This paper, which covers some aspects of the astronomical background of the chronology proposed by Gasche et al. (1998), is offered here for two reasons. That brief volume was intended to present a new approach and was not regarded as a comprehensive treatment of chronological issues in the ancient Near East, and certainly not as the final word on the role astronomy can play in so...