11,257 research outputs found
Likelihood Adaptively Modified Penalties
A new family of penalty functions, adaptive to likelihood, is introduced for
model selection in general regression models. It arises naturally through
assuming certain types of prior distribution on the regression parameters. To
study stability properties of the penalized maximum likelihood estimator, two
types of asymptotic stability are defined. Theoretical properties, including
the parameter estimation consistency, model selection consistency, and
asymptotic stability, are established under suitable regularity conditions. An
efficient coordinate-descent algorithm is proposed. Simulation results and real
data analysis show that the proposed method has competitive performance in
comparison with existing ones.Comment: 42 pages, 4 figure
The rare semi-leptonic decays involving orbitally excited final mesons
The rare processes , where
stands for the final meson ,
,~, ,
or~, are studied within the Standard Model. The hadronic matrix
elements are evaluated in the Bethe-Salpeter approach and furthermore a
discussion on the gauge-invariant condition of the annihilation hadronic
currents is presented. Considering the penguin, box, annihilation,
color-favored cascade and color-suppressed cascade contributions, the
observables , , and are
calculated
Scalable Bell inequalities for multiqubit systems
Based on Clauser-Horner-Shimony-Holt inequality, we show a fruitful method to
exploit Bell inequalities for multipartite qubit systems. These Bell
inequalities are designed with a simpler architecture tailored to experimental
demonstration. Under the optimal setting we derive a set of compact Mermin-type
inequalities and discuss quantum violations for generalized
Greenberger-Horne-Zeilinger (GGHZ) states. Also, we reveal relationship between
quantum nonlocality and four-partite entanglement for four-qubit GGHZ states.Comment: 4 pages, 1 figur
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