506 research outputs found
Geometric Multi-Model Fitting by Deep Reinforcement Learning
This paper deals with the geometric multi-model fitting from noisy,
unstructured point set data (e.g., laser scanned point clouds). We formulate
multi-model fitting problem as a sequential decision making process. We then
use a deep reinforcement learning algorithm to learn the optimal decisions
towards the best fitting result. In this paper, we have compared our method
against the state-of-the-art on simulated data. The results demonstrated that
our approach significantly reduced the number of fitting iterations
Wannier solitons in spin-orbit-coupled Bose-Einstein condensates in optical lattices with a flat-band
We investigate families of soliton solutions in a spin-orbit coupled
Bose-Einstein condensate embedded in an optical lattice, which bifurcate from
the nearly flat lowest band. Unlike the conventional gap solitons the obtained
solutions have the shape well approximated by a Wannier function (or a few
Wannier functions) of the underlying linear Hamiltonian with amplitudes varying
along the family and with nearly constant widths. The Wannier solitons (WSs)
sharing all symmetries of the system Hamiltonian are found to be stable. Such
solutions allow for the construction of Wannier breathers, that can be viewed
as nonlinearly coupled one-hump solitons. The breathers are well described by a
few-mode model and manifest stable behavior either in an oscillatory regime
with balanced average populations or in a self-trapping regime characterized by
unbalanced atomic populations of the local potential minima (similarly to the
conventional boson Josephson junction), with the frequencies controlled by the
inter-atomic interactions.Comment: Accepted for publication in Physical Review
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