5,628 research outputs found
AutoEncoder by Forest
Auto-encoding is an important task which is typically realized by deep neural
networks (DNNs) such as convolutional neural networks (CNN). In this paper, we
propose EncoderForest (abbrv. eForest), the first tree ensemble based
auto-encoder. We present a procedure for enabling forests to do backward
reconstruction by utilizing the equivalent classes defined by decision paths of
the trees, and demonstrate its usage in both supervised and unsupervised
setting. Experiments show that, compared with DNN autoencoders, eForest is able
to obtain lower reconstruction error with fast training speed, while the model
itself is reusable and damage-tolerable
Factorization of Radiative Leptonic Decays of and Mesons Including the Soft Photon Region
In this work, we study the radiative leptonic decays of and
mesons using factorization approach. Factorization is proved to be valid
explicitly at 1-loop level at any order of . We consider the contribution in the soft photon region
that . The numerical
results shows that, the soft photon region is very important for both the
and mesons. The branching ratios of is , which is about times of the result obtained by only considering
the hard photon region . And for the case of , the result of the branching ratio is .Comment: arXiv admin note: text overlap with arXiv:1409.035
On a Modified DeGroot-Friedkin Model of Opinion Dynamics
This paper studies the opinion dynamics that result when individuals
consecutively discuss a sequence of issues. Specifically, we study how
individuals' self-confidence levels evolve via a reflected appraisal mechanism.
Motivated by the DeGroot-Friedkin model, we propose a Modified DeGroot-Friedkin
model which allows individuals to update their self-confidence levels by only
interacting with their neighbors and in particular, the modified model allows
the update of self-confidence levels to take place in finite time without
waiting for the opinion process to reach a consensus on any particular issue.
We study properties of this Modified DeGroot-Friedkin model and compare the
associated equilibria and stability with those of the original DeGroot-Friedkin
model. Specifically, for the case when the interaction matrix is doubly
stochastic, we show that for the modified model, the vector of individuals'
self-confidence levels asymptotically converges to a unique nontrivial
equilibrium which for each individual is equal to 1/n, where n is the number of
individuals. This implies that eventually, individuals reach a democratic
state
Factorization of Radiative Leptonic Decays of and Mesons
In this work, we study the factorization of the radiative leptonic decays of
and mesons, the contributions of the order are taken into account. The factorization is proved to
be valid explicitly at the order . The hard kernel is obtained. The numerical results are
calculated using the wave-function obtained in relativistic potential model.
The contribution is found to be very
important, the correction to the decay amplitudes of
is about . For mesons, the contributions are more important.Comment: 26 pages, 8 figures. Version to appear in Nucl. Phys.
- β¦