Likelihood-based Imprecise Regression (LIR) is a recently introduced approach to regression with imprecise data. Here we consider a robust regression method derived from the general LIR approach and we establish an exact algorithm to determine the set-valued result of the LIR analysis in the special case of simple linear regression with interval data.

We prove a derived version of the Gabriel-Popescu theorem in framework dg-categories and t-structures. This exhibits any pretriangulated dg-category with suitable t-structure (such that its heart is Grothendieck abelian category) as t-exact localization dg-modules. give an original proof based on generalization Mitchell's argument "A quick Gabriel-Popesco theorem" involving injective objects. A...

We define the Grothendieck group of an n-exangulated category. For n odd, we show that this shares many properties with exact or a triangulated In particular, classify dense complete subcategories category n-(co)generator in terms subgroups group. This unifies and extends results Thomason, Bergh–Thaule, Matsui Zhu–Zhuang for triangulated, $$(n+2)$$ -angulated, extriangulated categories, respect...

Quantum homogeneous supervector bundles arising from the quantum general linear supergoup are studied. The space of holomorphic sections is promoted to a left exact covariant functor from a category of modules over a quantum parabolic sub-supergroup to the category of locally finite modules of the quantum general linear supergroup. The right derived functors of this functor provides a form of D...

We study the module category associated to the quantum double of a finite abelian group G twisted by a 3-cocycle, which is known to be a braided monoidal category, and investigate the question of when two such categories are equivalent. We base our discussion on an exact sequence which interweaves the ordinary and Eilenberg-Mac Lane cohomology of G. Roughly speaking, this reveals that the data ...

We develop some aspects of the theory of derivators, pointed derivators, and stable derivators. As a main result, we show that the values of a stable derivator can be canonically endowed with the structure of a triangulated category. Moreover, the functors belonging to the stable derivator can be turned into exact functors with respect to these triangulated structures. Along the way, we give a ...

We prove that the 2-category of skeletally small abelian categories with exact monoidal structures is anti-equivalent to fp-hom-closed definable additive satisfying an exactness criterion. For a fixed finitely accessible category C products and structure appropriate assumptions, we provide bijections between subcategories C, Serre tensor-ideals Cfp-mod closed subsets Ziegler-type topology. prea...

In this article, we show that the localization of an extriangulated category by a multiplicative system satisfying mild assumptions can be equipped with natural, universal structure category. This construction unifies Serre quotient abelian categories and Verdier triangulated categories. Indeed give such for bit wider class morphisms, so it covers several other localizations appeared in literat...

This paper addresses the maintenance of discovered frequent patterns when a batch of transactions are removed from the original dataset. We conduct an in-depth investigation on how the frequent pattern space evolves under transaction removal updates using the concept of equivalence classes. Inspired by the evolution analysis, an effective and exact algorithm TRUM is proposed to maintain frequen...

Abstract We demonstrate how exact structures can be placed on the additive category of right operator modules over an algebra in order to discuss global dimension for algebras. The properties Haagerup tensor product play a decisive role this.