The Hopf algebra dual form for the non–standard uniparametric deformation of the (1+1) Poincaré algebra iso(1, 1) is deduced. In this framework, the quantum coordinates that generate Funw(ISO(1, 1)) define an infinite dimensional Lie algebra. A change in the basis of the dual form is obtained in order to compare this deformation to the standard one. Finally, a non– standard quantum Heisenberg g...

Naked singularities in the gravitational backgrounds dual to gauge theories can be hidden behind the black hole horizon. We present an exact black hole solution in the Klebanov-Tseytlin geometry [hepth/0002159]. Our solution realizes Maldacena dual of the finite temperatureN = 1 duality cascade of [hep-th/0007191] above the temperature of the chiral symmetry breaking. We compare the BekensteinH...

We develop an efficient algorithm for the construction of common tangents between a set of Bezier curves. Common tangents are important in visibility, lighting, robot motion, and convex hulls. Common tangency is reduced to the intersection of parametric curves in a dual space, rather than the traditional intersection of implicit curves. We show how to represent the tangent space of a plane Bezi...

We propose a Predictable Dual-View Hashing (PDH) algorithm which embeds proximity of data samples in the original spaces. We create a cross-view hamming space with the ability to compare information from previously incomparable domains with a notion of ‘predictability’. By performing comparative experimental analysis on two large datasets, PASCAL-Sentence and SUN-Attribute, we demonstrate the s...

In our previous work, we have developed sparse least squares support vector regressors (sparse LS SVRs) trained in the primal form in the reduced empirical feature space. In this paper we develop sparse LS SVRs trained in the dual form in the empirical feature space. Namely, first the support vectors that span the reduced empirical feature space are selected by the Cholesky factorization and LS...

Recently a new least-squares primal-dual (LSPD) algorithm, that is impervious to degeneracy, has effectively been applied to solving linear programming problems by Barnes et al., 2002. In this paper, we show an application of LSPD to shortest path problems with nonnegative arc length is equivalent to the Dijkstra’s algorithm. We also compare the LSPD algorithm with the conventional primal-dual ...

We present Dual-Loco, a communicatione cient algorithm for distributed statistical estimation. Dual-Loco assumes that the data is distributed across workers according to the features rather than the samples. It requires only a single round of communication where low-dimensional random projections are used to approximate the dependencies between features available to di↵erent workers. We show th...

This paper presents a modified nine switch inverter with two inputs and two Z-source networks. This inverter has two DC inputs and two AC outputs. Input DC voltages can be boosted to the required level. Amplitude, frequency and phase of AC output voltages can be controlled, independently. The proposed converter can be used in applications with two unregulated DC sources, which require feeding ...