In this paper, we present a new texture representation of face image using a robust feature from the Trace transform. The masked Trace transform (MTT) offers “texture” information for face representation which is used to reduce the within-class variance. We first transform the image space to the Trace transform space to produce the MTT. Weighted Trace transform (WTT) identifies the tracing line...

The trace-class (Tc) of operators on a Hilbert space is characterized in terms of existence of certain centralizers. KEY WO.Rt)S., AI. PHPASES. 1980 MATHEMATICS SUBJECT CLASSIFICATION CODE3. 47BI0, 46K15.

We consider the difference f(−∆+V )−f(−∆) of functions of Schrödinger operators in L(R) and provide conditions under which this difference is trace class. We are particularly interested in non-smooth functions f and in V belonging only to some L space. This is motivated by applications in mathematical physics related to Lieb–Thirring inequalities. We show that in the particular case of Schrödin...

We show that rigid supersymmetry theories in four dimensions can be extended to give supersymmetric trace (or generalized quantum) dynamics theories, in which the supersymmetry algebra is represented by the generalized Poisson bracket of trace supercharges, constructed from fields that form a trace class noncommutative graded operator algebra. In particular, supersymmetry theories can be turned...

Abstract A group is said to have rational growth with respect a generating set if the series function. It was shown by Parry that certain torus bundle groups of even trace exhibits growth. We generalize this result class odd trace.

This piece is a commentary on the paper by Hazan et al. (2012b). In their paper, they introduce the class of (β, τ)-decomposable matrices, and show that well-known matrix regularizers and matrix classes (e.g. matrices with bounded trace norm) can be viewed as special cases of their construction. The β and τ terms can be related to the max norm and to the trace norm, respectively, as explored in...

Suppose that ? 1 and ? 2 are geometrically nite, convex co-compact, discrete groups of isometries of real hyperbolic space H 3 whose domains of discontinuity are diieomorphic. We show that if the respective scattering matrices S 1 (s) and S 2 (s) diier from each other by a trace-class perturbation on the unitary axis Re(s) = 1, then ? 1 and ? 2 are conjugate in PSL(2; C). This result reeects th...

The utility of a Markov chain Monte Carlo algorithm is, in large part, determined by the size of the spectral gap of the corresponding Markov operator. However, calculating (and even approximating) the spectral gaps of practical Monte Carlo Markov chains in statistics has proven to be an extremely difficult and often insurmountable task, especially when these chains move on continuous state spa...

We show that various Hamiltonians and Jacobi matrices have no absolutely continuous spectrum by showing that under a trace class perturbation they become a direct sum of finite matrices.

The trace-class problem was for some years a rather embarrassing unsolved problem in the theory of automorphic forms. Although the absence of a solution did not seriously obstruct progress, it did undesirably, and in the general view unnecessarily, complicate the statements of various results, especially in the context of the trace formula. Fortunately, it has recently been solved by W. Müller ...