We construct Landau-Ginzburg Lagrangians for minimal bosonic (N = 0)W models perturbed with the least relevant field, inspired by the theory ofN = 2 supersymmetric Landau-Ginzburg Lagrangians. They agree with the Lagrangians for unperturbed models previously found with Zamolodchikov’s method. We briefly study their properties, e.g. the perturbation algebra and the soliton structure. We conclude...

We discuss an approach to constructing composite features during the induction of decision trees. The composite features correspond to m-of-n concepts. There are three goals of this research. First, we explore a family of greedy methods for building m-ofn concepts (one of which, GS, is described in this paper). Second, we show how these concepts can be formed as internal nodes of decision trees...

We study dynamical symmetry breaking in three-dimensional QED with a Chern-Simons (CS) term, considering the screening e ect ofN avor fermions. We nd a new phase of the vacuum, in which both the fermion mass and a magnetic eld are dynamically generated, when the coe cient of the CS term equals Ne=4 . The resultant vacuum becomes the nite-density state halflled by fermions. For = Ne=2 , we nd th...

1 Hierarchical clustering (HC) algorithms are generally limited to small data instances due to their runtime costs. Here we mitigate this shortcoming and explore fast HC algorithms based on random projections for single (SLC) and average (ALC) linkage clustering as well as for the minimum spanning tree problem (MST). We present a thorough adaptive analysis of our algorithms that improve prior w...