Regular operator approximation theory

A Pragmati Approximation Operator

Operator Theory and Operator Algebras

A Sparse Regular Approximation Lemma

We introduce a new variant of Szemerédi’s regularity lemma which we call the sparse regular approximation lemma (SRAL). The input to this lemma is a graph G of edge density p and parameters , δ, where we think of δ as a constant. The goal is to construct an -regular partition of G while having the freedom to add/remove up to δ|E(G)| edges. As we show here, this weaker variant of the regularity ...

Regular Approximation of Link Grammar

We present a regular approximation of Link Grammar, a dependency-type formalism with context-free expressive power, as a first step toward a finite-state joint inference system. The approximation is implemented by limiting the maximum nesting depth of links, and otherwise retains the features of the original formalism. We present a string encoding of Link Grammar parses and describe finite-stat...

Invertible and regular completions of operator matrices