Results 41 to 50 of about 1,824,364 (240)

On MMSE and MAP Denoising Under Sparse Representation Modeling Over a Unitary Dictionary [PDF]

open access: yesIEEE Transactions on Signal Processing, 2010
Among the many ways to model signals, a recent approach that draws considerable attention is sparse representation modeling. In this model, the signal is assumed to be generated as a random linear combination of a few atoms from a prespecified dictionary.
Javier Turek, I. Yavneh, Michael Elad
semanticscholar   +1 more source

Irreducibility criterion for representations induced by essentially unitary ones (case of non-archimedean GL(n,A) [PDF]

open access: yes, 2013
Let A be a finite dimensional central division algebra over a local non-archimedean field F. Fix any parabolic subgroup P of GL(n,A) and a Levi factor M of P.
Leclerc   +9 more
core   +3 more sources

Classification and Analysis of Multiple Cattle Unitary Behaviors and Movements Based on Machine Learning Methods

open access: yesAnimals, 2022
The behavior of livestock on farms is the primary representation of animal welfare, health conditions, and social interactions to determine whether they are healthy or not.
Yongfeng Li   +7 more
doaj   +1 more source

McKay Centralizer Algebras [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2020
For a finite subgroup G of the special unitary group SU2, we study the centralizer algebra Zk(G) = EndG(V⊗k) of G acting on the k-fold tensor product of its defining representation V = C2.
Georgia Benkart, Tom Halverson
doaj   +1 more source

Fuzzy de Sitter space

open access: yesEuropean Physical Journal C: Particles and Fields, 2018
We discuss properties of fuzzy de Sitter space defined by means of algebra of the de Sitter group $$\text {SO}(1,4)$$ SO(1,4) in unitary irreducible representations.
Maja Burić   +2 more
doaj   +1 more source

Twirling channels have minimal mixed-unitary rank [PDF]

open access: yesLinear Algebra and its Applications Volume 615 (2020) pp. 207-227, 2020
For a positive integer $d$ and a unitary representation $\rho:G\rightarrow\mathrm{U}(d)$ of a compact group $G$, the twirling channel for this representation is the linear mapping $\Phi: M_d\rightarrow M_d$ defined as $\Phi(X)=\int_{G}\mathrm{d}\mu(g)\,\rho(g)X\rho(g^{-1})$ for every $X\in M_d$, where $\mu$ is the Haar measure on $G$. Such channels are
arxiv   +1 more source

Stellar Representation of Non-Gaussian Quantum States. [PDF]

open access: yesPhysical Review Letters, 2019
The so-called stellar formalism allows us to represent the non-Gaussian properties of single-mode quantum states by the distribution of the zeros of their Husimi Q function in phase space.
Ulysse Chabaud, D. Markham, F. Grosshans
semanticscholar   +1 more source

Localization of unitary braid group representations [PDF]

open access: yes, 2010
Governed by locality, we explore a connection between unitary braid group representations associated to a unitary $R$-matrix and to a simple object in a unitary braided fusion category. Unitary $R$-matrices, namely unitary solutions to the Yang-Baxter equation, afford explicitly local unitary representations of braid groups.
arxiv   +1 more source

Direct dialling of Haar random unitary matrices

open access: yesNew Journal of Physics, 2017
Random unitary matrices find a number of applications in quantum information science, and are central to the recently defined boson sampling algorithm for photons in linear optics.
Nicholas J Russell   +3 more
doaj   +1 more source

Small eigenvalues of the staggered Dirac operator in the adjoint representation and Random Matrix Theory [PDF]

open access: yes, 1999
The low-lying spectrum of the Dirac operator is predicted to be universal, within three classes, depending on symmetry properties specified according to random matrix theory. The three universal classes are the orthogonal, unitary and symplectic ensemble.
A.L. Kaehler   +26 more
core   +2 more sources

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