Matrix factorization into the product of lowrank matrices induces non-identifiability, i.e., the mapping between the target matrix and factorized matrices is not one-to-one. In th...
There exist very lucid explanations of the combinatorial origins of rational and algebraic functions, in particular with respect to regular and context free languages. In the searc...
We study the combinatorial problem of finding an arrangement of distinct integers into the ddimensional N-cube so that the maximal variance of the numbers on each -dimensional sec...
This paper is on the angle-frequency localization of periodic scaling functions and wavelets. It is shown that the uncertainty products of uniformly local, uniformly regular and u...
Abstract. On product domains, sparse-grid approximation yields optimal, dimension-independent convergence rates when the function that is approximated has L2-bounded mixed derivati...