1,071 research outputs found
Complete Controllability of Fractional Neutral Differential Systems in Abstract Space
By using fractional power of operators and Sadovskii fixed point theorem, we study the complete controllability of fractional neutral differential systems in abstract space without involving the compactness of characteristic solution operators introduced by us
Probing the states through radiative decays
In this work, we have adopted the spin rearrangement scheme in the heavy
quark limit and extensively investigated three classes of the radiative decays:
, , , corresponding to the
electromagnetic transitions between one molecular state and bottomonium, one
bottomonium and molecular state, and two molecular states respectively. We also
extend the same formalism to study the radiative decays of the molecular states
with hidden charm. We have derived some model independent ratios when the
initial or final states belong to the same spin flavor multiplet. Future
experimental measurement of these ratios will test the molecular picture and
explore the underlying structures of the states.Comment: 21 pages, 10 tables Accepted by Phys.Rev.
Semi-supervised Semantic Segmentation with Prototype-based Consistency Regularization
Semi-supervised semantic segmentation requires the model to effectively
propagate the label information from limited annotated images to unlabeled
ones. A challenge for such a per-pixel prediction task is the large intra-class
variation, i.e., regions belonging to the same class may exhibit a very
different appearance even in the same picture. This diversity will make the
label propagation hard from pixels to pixels. To address this problem, we
propose a novel approach to regularize the distribution of within-class
features to ease label propagation difficulty. Specifically, our approach
encourages the consistency between the prediction from a linear predictor and
the output from a prototype-based predictor, which implicitly encourages
features from the same pseudo-class to be close to at least one within-class
prototype while staying far from the other between-class prototypes. By further
incorporating CutMix operations and a carefully-designed prototype maintenance
strategy, we create a semi-supervised semantic segmentation algorithm that
demonstrates superior performance over the state-of-the-art methods from
extensive experimental evaluation on both Pascal VOC and Cityscapes benchmarks.Comment: Accepted to NeurIPS 202
Fermion Resonances on a Thick Brane with a Piecewise Warp Factor
In this paper, we mainly investigate the problems of resonances of massive KK
fermions on a single scalar constructed thick brane with a piecewise warp
factor matching smoothly. The distance between two boundaries and the other
parameters are determined by one free parameter through three junction
conditions. For the generalized Yukawa coupling
with odd , the mass eigenvalue , width , lifetime
, and maximal probability of fermion resonances are obtained.
Our numerical calculations show that the brane without internal structure also
favors the appearance of resonant states for both left- and right-handed
fermions. The scalar-fermion coupling and the thickness of the brane influence
the resonant behaviors of the massive KK fermions.Comment: V3: 15 pages, 7 figures, published versio
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