4,970 research outputs found
Penalized Estimation of Directed Acyclic Graphs From Discrete Data
Bayesian networks, with structure given by a directed acyclic graph (DAG),
are a popular class of graphical models. However, learning Bayesian networks
from discrete or categorical data is particularly challenging, due to the large
parameter space and the difficulty in searching for a sparse structure. In this
article, we develop a maximum penalized likelihood method to tackle this
problem. Instead of the commonly used multinomial distribution, we model the
conditional distribution of a node given its parents by multi-logit regression,
in which an edge is parameterized by a set of coefficient vectors with dummy
variables encoding the levels of a node. To obtain a sparse DAG, a group norm
penalty is employed, and a blockwise coordinate descent algorithm is developed
to maximize the penalized likelihood subject to the acyclicity constraint of a
DAG. When interventional data are available, our method constructs a causal
network, in which a directed edge represents a causal relation. We apply our
method to various simulated and real data sets. The results show that our
method is very competitive, compared to many existing methods, in DAG
estimation from both interventional and high-dimensional observational data.Comment: To appear in Statistics and Computin
Asymmetries and Violation in Charmed Baryon Decays into Neutral Kaons
We study the asymmetries and violations in charm-baryon
decays with neutral kaons in the final state. The asymmetry can
be used to search for two-body doubly Cabibbo-suppressed amplitudes of
charm-baryon decays, with the one in as a promising
observable. Besides, it is studied for a new -violation effect in these
processes, induced by the interference between the Cabibbo-favored and doubly
Cabibbo-suppressed amplitudes with the neutral kaon mixing. Once the new
CP-violation effect is determined by experiments, the direct asymmetry in
neutral kaon modes can then be extracted and used to search for new physics.
The numerical results based on symmetry will be tested by the
experiments in the future.Comment: 15 pages, 3 tables. Version published in JHE
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