CPD - Module C

Approximately higher Hilbert $C^*$-module derivations

We show that  higher derivations on a Hilbert$C^{*}-$module associated with the Cauchy functional equation satisfying generalized Hyers--Ulam stability.  

Error Preserving Correction for CPD and Bounded-Norm CPD

In CANDECOMP/PARAFAC tensor decomposition, degeneracy often occurs in some difficult scenarios, e.g., when the rank exceeds the tensor dimension, or when the loading components are highly collinear in several or all modes, or when CPD does not have an optimal solution. In such the cases, norms of some rank-1 terms become significantly large, and cancel each other. This makes algorithms getting ...

A Module System for C++

This paper presents a design of a module system for C++.The proposal focuses on programmer’s view of modules (both production and consumption) and how to better support modular programming in the large, componentization, scalable compilation, and semantics-aware developer tools.

$G$-dual Frames in Hilbert $C^{*}$-module Spaces

In this paper, we introduce the concept of $g$-dual frames for Hilbert $C^{*}$-modules, and then the properties and stability results of $g$-dual frames  are given.  A characterization of $g$-dual frames, approximately dual frames and dual frames of a given frame is established. We also give some examples to show that the characterization of $g$-dual frames for Riesz bases in Hilbert spaces is ...

Pom + Ebm = Cpd?