141,056 research outputs found
Flexible protein folding by ant colony optimization
Protein structure prediction is one of the most challenging topics in bioinformatics.
As the protein structure is found to be closely related to its functions,
predicting the folding structure of a protein to judge its functions is meaningful to
the humanity. This chapter proposes a flexible ant colony (FAC) algorithm for solving
protein folding problems (PFPs) based on the hydrophobic-polar (HP) square lattice
model. Different from the previous ant algorithms for PFPs, the pheromones in the
proposed algorithm are placed on the arcs connecting adjacent squares in the lattice.
Such pheromone placement model is similar to the one used in the traveling salesmen
problems (TSPs), where pheromones are released on the arcs connecting the cities.
Moreover, the collaboration of effective heuristic and pheromone strategies greatly
enhances the performance of the algorithm so that the algorithm can achieve good
results without local search methods. By testing some benchmark two-dimensional
hydrophobic-polar (2D-HP) protein sequences, the performance shows that the proposed
algorithm is quite competitive compared with some other well-known methods
for solving the same protein folding problems
Response to Comments on PCA Based Hurst Exponent Estimator for fBm Signals Under Disturbances
In this response, we try to give a repair to our previous proof for PCA Based
Hurst Exponent Estimator for fBm Signals by using orthogonal projection.
Moreover, we answer the question raised recently: If a centered Gaussian
process admits two series expansions on different Riesz bases, we may
possibly study the asymptotic behavior of one eigenvalue sequence from the
knowledge on the asymptotic behaviors of another.Comment: This is a response for a mistake in Li Li, Jianming Hu, Yudong Chen,
Yi Zhang, PCA based Hurst exponent estimator for fBm signals under
disturbances, IEEE Transactions on Signal Processing, vol. 57, no. 7, pp.
2840-2846, 200
Efficient randomized-adaptive designs
Response-adaptive randomization has recently attracted a lot of attention in
the literature. In this paper, we propose a new and simple family of
response-adaptive randomization procedures that attain the Cramer--Rao lower
bounds on the allocation variances for any allocation proportions, including
optimal allocation proportions. The allocation probability functions of
proposed procedures are discontinuous. The existing large sample theory for
adaptive designs relies on Taylor expansions of the allocation probability
functions, which do not apply to nondifferentiable cases. In the present paper,
we study stopping times of stochastic processes to establish the asymptotic
efficiency results. Furthermore, we demonstrate our proposal through examples,
simulations and a discussion on the relationship with earlier works, including
Efron's biased coin design.Comment: Published in at http://dx.doi.org/10.1214/08-AOS655 the Annals of
Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical
Statistics (http://www.imstat.org
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