26,542 research outputs found
Hierarchical Data Representation Model - Multi-layer NMF
In this paper, we propose a data representation model that demonstrates
hierarchical feature learning using nsNMF. We extend unit algorithm into
several layers. Experiments with document and image data successfully
discovered feature hierarchies. We also prove that proposed method results in
much better classification and reconstruction performance, especially for small
number of features. feature hierarchies
Electromagnetic form factors of the baryon decuplet with flavor SU(3) symmetry breaking
We investigate the electromagnetic form factors of the baryon decuplet within
the framework of the self-consistent chiral quark-soliton
model, taking into account the rotational corrections and the effects
of flavor symmetry breaking. We first examine the valence- and
sea-quark contributions to each electromagnetic form factor of the baryon
decuplet and then the effects of the flavor SU(3) symmetry breaking. The
present results are in good agreement with the recent lattice data. We also
compute the charge radii, the magnetic radii, the magnetic dipole moments and
the electric quadrupole moments, comparing their results with those from other
theoretical works. We also make a chiral extrapolation to compare the present
results with the lattice data in a more quantitative manner. The results show
in general similar tendency to the lattice results. In particular, the results
of the and form factors are in good agreement with those of lattice
QCD.Comment: 29 pages, 15 figures. Comparison with the lattice data was elaborate
Conditions for Generic Initial Ideals to be Almost Reverse Lexicographic
Let be a homogeneous Artinian ideal in a polynomial ring
over a field of characteristic 0. We study an equivalent
condition for the generic initial ideal \gin(I) with respect to reverse
lexicographic order to be almost reverse lexicographic. As a result, we show
that Moreno-Socias conjecture implies Fr\"{o}berg conjecture. And for the case
\Codim I \le 3, we show that has the strong Lefschetz property if and
only if \gin(I) is almost reverse lexicographic. Finally for a monomial
complete intersection Artinian ideal , we prove
that \gin(I) is almost reverse lexicographic if for each . Using this, we give a positive partial answer to
Moreno-Socias conjecture, and to Fr\"{o}berg conjecture.Comment: 10 page
- β¦