94,466 research outputs found
Improving A*OMP: Theoretical and Empirical Analyses With a Novel Dynamic Cost Model
Best-first search has been recently utilized for compressed sensing (CS) by
the A* orthogonal matching pursuit (A*OMP) algorithm. In this work, we
concentrate on theoretical and empirical analyses of A*OMP. We present a
restricted isometry property (RIP) based general condition for exact recovery
of sparse signals via A*OMP. In addition, we develop online guarantees which
promise improved recovery performance with the residue-based termination
instead of the sparsity-based one. We demonstrate the recovery capabilities of
A*OMP with extensive recovery simulations using the adaptive-multiplicative
(AMul) cost model, which effectively compensates for the path length
differences in the search tree. The presented results, involving phase
transitions for different nonzero element distributions as well as recovery
rates and average error, reveal not only the superior recovery accuracy of
A*OMP, but also the improvements with the residue-based termination and the
AMul cost model. Comparison of the run times indicate the speed up by the AMul
cost model. We also demonstrate a hybrid of OMP and A?OMP to accelerate the
search further. Finally, we run A*OMP on a sparse image to illustrate its
recovery performance for more realistic coefcient distributions
Unexpected results in asymptotically free quantum field theories
We study the behavior of asymptotically free (AF) spin and gauge models when
their continuous symmetry group is replaced by different discrete non-Abelian
subgroups. Precise numerical results with relative errors down to O(0.1%)
suggest that the models with large subgroups are in the universality class of
the underlying original models. We argue that such a scenario is consistent
with the known properties of AF theories. The small statistical errors allow a
detailed investigation of the cut-off effects also. At least up to correlation
lengths ~300 they follow effectively an O(a) rather than the expected O(a^2)
form both in the O(3) and in the dodecahedron model.Comment: 16 pages, 7 figures, some omissions corrected, a reference adde
Analyzing large-scale DNA Sequences on Multi-core Architectures
Rapid analysis of DNA sequences is important in preventing the evolution of
different viruses and bacteria during an early phase, early diagnosis of
genetic predispositions to certain diseases (cancer, cardiovascular diseases),
and in DNA forensics. However, real-world DNA sequences may comprise several
Gigabytes and the process of DNA analysis demands adequate computational
resources to be completed within a reasonable time. In this paper we present a
scalable approach for parallel DNA analysis that is based on Finite Automata,
and which is suitable for analyzing very large DNA segments. We evaluate our
approach for real-world DNA segments of mouse (2.7GB), cat (2.4GB), dog
(2.4GB), chicken (1GB), human (3.2GB) and turkey (0.2GB). Experimental results
on a dual-socket shared-memory system with 24 physical cores show speed-ups of
up to 17.6x. Our approach is up to 3x faster than a pattern-based parallel
approach that uses the RE2 library.Comment: The 18th IEEE International Conference on Computational Science and
Engineering (CSE 2015), Porto, Portugal, 20 - 23 October 201
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