We investigate the fundamental conditions on the sampling pattern, i.e., locations of the sampled entries, for finite completability of a low-rank tensor given some components of its Tucker rank. In order to find the deterministic necessary and sufficient conditions, we propose an algebraic geometric analysis on the Tucker manifold, which allows us to incorporate multiple rank components in the...

Scheme independence of exact renormalization group equations, including independence of the choice of cutoff function, is shown to follow from general field redefinitions, which remains an inherent redundancy in quantum field theories. Renormalization group equations and their solutions are amenable to a simple formulation which is manifestly covariant under such a symmetry group. Notably, the ...

by increasing government’s interferences in different aspects of society and as a result, more dependence of citizen to governmental and public institution, there is always the concern that citizen’s right before powerful governmental organs be violated. therefore, different mechanisms have been created to defend the citizen’s rights one of which is ombudsman. ombudsman acts as mediator and com...

BACKGROUND Independence and frequency are two distinct dimensions of participation in daily life. The gap between independence and frequency may reflect the role of the environment on participation, but this distinction has not been fully explored. METHODS A total of 18,119 parents or primary caregivers of children with disabilities aged 6.0-17.9 years were interviewed in a cross-sectional na...

This study aims to analyze the effect of auditor competence and independence on audit quality at The Main Inspectorate National Narcotics Agency. Population data as many 42 people were used for sample research object. be obtained in this uses a questionnaire with Likert scale form checklist statements relating variables along 5 alternative answers measure each variable. studied include Auditor ...

In exploratory data analysis, we are often interested in identifying promising pairwise associations for further analysis while filtering out weaker ones. This can be accomplished by computing a measure of dependence on all variable pairs and examining the highest-scoring pairs, provided the measure of dependence used assigns similar scores to equally noisy relationships of different types. Thi...

This paper investigates probabilistic logics endowed with independence relations. We review propositional probabilistic languages without independence, and then consider graph-theoretic representations for propositional probabilistic logic with independence; complexity is analyzed, algorithms are derived, and examples are discussed. Finally, we examine a restricted first order probabilistic log...