3,299 research outputs found
An Efficient Dynamic Programming Algorithm for the Generalized LCS Problem with Multiple Substring Exclusion Constrains
In this paper, we consider a generalized longest common subsequence problem
with multiple substring exclusion constrains. For the two input sequences
and of lengths and , and a set of constrains
of total length , the problem is to find a common subsequence of and
excluding each of constrain string in as a substring and the length of
is maximized. The problem was declared to be NP-hard\cite{1}, but we
finally found that this is not true. A new dynamic programming solution for
this problem is presented in this paper. The correctness of the new algorithm
is proved. The time complexity of our algorithm is .Comment: arXiv admin note: substantial text overlap with arXiv:1301.718
Optimal trajectory generation in ocean flows
In this paper it is shown that Lagrangian Coherent
Structures (LCS) are useful in determining near optimal
trajectories for autonomous underwater gliders in a dynamic
ocean environment. This opens the opportunity for optimal
path planning of autonomous underwater vehicles by studying
the global flow geometry via dynamical systems methods. Optimal
glider paths were computed for a 2-dimensional kinematic
model of an end-point glider problem. Numerical solutions to
the optimal control problem were obtained using Nonlinear
Trajectory Generation (NTG) software. The resulting solution
is compared to corresponding results on LCS obtained using
the Direct Lyapunov Exponent method. The velocity data
used for these computations was obtained from measurements
taken in August, 2000, by HF-Radar stations located around
Monterey Bay, CA
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