Dag Kjartan Jensen

Asymptotic behavior of alternative Jensen and Jensen type functional equations

In 1941 D.H. Hyers solved the well-known Ulam stability problem for linear mappings. In 1951 D.G. Bourgin was the second author to treat the Ulam problem for additive mappings. In 1982–2005 we established the Hyers–Ulam stability for the Ulam problem of linear and nonlinear mappings. In 1998 S.-M. Jung and in 2002–2005 the authors of this paper investigated the Hyers–Ulam stability of additive ...

On maximum spanning DAG algorithms for semantic DAG parsing

Consideration of the decoding problem in semantic parsing as finding a maximum spanning DAG of a weighted directed graph carries many complexities that haven’t been fully addressed in the literature to date, among which are its actual appropriateness for the decoding task in semantic parsing, not to mention an explicit proof of its complexity (and its approximability). In this paper, we conside...

Beware of the DAG!

Directed acyclic graph (DAG) models are popular tools for describing causal relationships and for guiding attempts to learn them from data. In particular, they appear to supply a means of extracting causal conclusions from probabilistic conditional independence properties inferred from purely observational data. I take a critical look at this enterprise, and suggest that it is in need of more, ...

Scheduling DAG Structured Computations

Fred C . Jensen , Troy

There are two reasons for s tudying the possible role of the Epstein-Barr virus (EBV) in relation to rheumato id arthritis (RA). The first is the recent demonstrat ion by Alspaugh and co-workers that EBV infection o f normal peripheral blood lymphocytes induces the development in these cells of a nuclear antigen against which most patients with RA have precipitat ing antibodies (I). The second ...