We initiate a systematic study of lattices thick subcategories for arbitrary essentially small triangulated categories. To this end we give several examples illustrating the various properties these may, or may not, have and show that as soon lattice is distributive it automatically spatial frame. then construct two non-commutative spectra, one functorial with restricted functoriality, universa...

Edit distance is a measurement of similarity between two sequences such as strings, point sequences, or polygonal curves. Many matching problems from variety areas, signal analysis, bioinformatics, etc., need to be solved in geometric space. Therefore, the edit (GED) has been studied. In this paper, we describe first strictly sublinear approximate near-linear time algorithm for computing GED co...

Despite the considerable research effort towards the analysis and understanding of the nature of turbo decoding, a clear identification of the underlying optimization problem the turbo decoder attempts to solve is still missing. In this paper, we link the turbo decoding algorithm to maximum likelihood (ML) sequence detection by demonstrating how the turbo decoder can be systematically derived s...

This paper studies global testing of the slope function in functional linear regression models. A major challenge in functional global testing is to choose the dimension of projection when approximating the functional regression model by a finite dimensional multivariate linear regression model. We develop a new method that simultaneously tests the slope vectors in a sequence of functional prin...