We study the duality symmetry in p-form models containing a generalized Bq ∧ Fp+1 term in spacetime manifolds of arbitrary dimensions. The equivalence between the Bq ∧Fp+1 self-dual (SDB∧F ) and the Bq ∧Fp+1 topologically massive (TMB∧F ) models is established using a gauge embedding procedure, including the minimal coupling to conserved charged matter current. The minimal coupling adopted for ...

We address the problem of detecting the presence of hidden messages in audio. The detector is based on the characteristics of the denoised residuals of the audio file, which may consist of a mixture of speech and music data. A set of generalized moments of the audio signal is measured in terms of objective and perceptual quality measures. The detector discriminates between cover and stego files...

Reordering by the rule of decreased absolute amplitudes, the discrete cosine transformation (DCT) coefficients of an image are approximately modeled as dichotomous noise. Based on this assumption, it is interesting to note that the classical multiplicative embedding method can be transformed into an additive embedding rule, which accords with the signal processing problem of detecting a known w...

We study the duality symmetry in p-form models containing a generalized Bq ∧ Fp+1 term in spacetime manifolds of arbitrary dimensions. The equivalence between the Bq ∧Fp+1 self-dual (SDB∧F ) and the Bq ∧Fp+1 topologically massive (TMB∧F ) models is established using a gauge embedding procedure, including the minimal coupling to conserved charged matter current. The minimal coupling adopted for ...

We introduce a new family of interconnection networks that are Cayley graphs with xed degrees of any even number greater than or equal to 4. We call the proposed graphs cyclic-cubes because contracting some cycles in such a graph results in a generalized hypercube. These Cayley graphs have optimal fault tolerance and logarithmic diameters. For comparable number of nodes, a cyclic-cube can have ...

We study the problem of embedding compact subsets of Rn into C1 submanifolds of minimal dimension. In [4], we define a generalized tangent space TxA suitable for a general compact subset A of Rn and we prove that A may be locally embedded into a C1 manifold of dimension dim(TxA). This result leads naturally to the global conjecture that for a compact subset A of Rn, there exists a C1 manifold M...

We present a geometric approach to deening an algebra ^ G(M) (the Colombeau algebra) of generalized functions on a smooth manifold M containing the space D 0 (M) of distributions on M. Based on diierential calculus in convenient vector spaces we achieve an intrinsic construction of ^ G(M). ^ G(M) is a diierential algebra, its elements possessing Lie derivatives with respect to arbitrary smooth ...

In solving complex visual learning tasks, adopting multiple descriptors to more precisely characterize the data has been a feasible way for improving performance. These representations are typically high dimensional and assume diverse forms. Thus finding a way to transform them into a unified space of lower dimension generally facilitates the underlying tasks, such as object recognition or clus...

The topology of the embedding of the coadjoint orbits of the unitary group U of an infinite dimensional complex Hilbert space H, as canonically determined subsets of the space Ts of symmetric trace-class operators, is investigated. The space Ts is identified with the B-space predual of the Lie-algebra L(H)s of the Lie group U. It is proved, that the orbits consisting of symmetric operators with...

A map f : K → R of a simplicial complex is an almost embedding if f(σ) ∩ f(τ) = ∅ whenever σ, τ are disjoint simplices of K. Theorem. Fix integers d, k ≥ 2 such that d = 3k 2 + 1. (a) Assume that P 6= NP . Then there exists a finite k-dimensional complex K that does not admit an almost embedding in R but for which there exists an equivariant map K̃ → Sd−1. (b) The algorithmic problem of recognit...