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Hopfield networks can be employed to solve complex pattern recognition problems and achieve prediction and optimization in time domain [22].
Moreover, since this is essentially a joint optimization in time fractions Φ and power values P, the complexity is significantly higher than with power control only.
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In static systems and hidden Markov models, computation of a metric called treewidth induces a tree decomposition that can be used to perform logical or probabilistic inference and max + optimizations in time exponential in treewidth and linear in overall system size.
In this review paper the potential of optimal control theory for optimization in the time as well as in the space domain is highlighted.
An optimization algorithm in time domain is introduced in order to alleviate the noise effect on the constant-rate pressure behavior and its logarithmic derivative.
By dynamic programming along the associated branch- or tree-decomposition one can solve most graph optimization problems in time linear in the graph size and exponential in the parameter.
In order to utilize mixed integer optimization in real time on walking robots, sophisticated heuristics for branch-and-bound and warm starting are needed.
Achieving an optimal placement of a well in thinly layered, faulted, and uncertain reservoir formations is a challenging operational decision making problem requiring optimization in real time ("geosteering").
Application of the minimum principle of Pontryagin leads to extremal control profile structures, which are very similar to those obtained during optimization (in the time domain) of biotechnical production processes in well-mixed bioreactors.
Furthermore, it is illustrated that application of the Minimum Principle of Pontryagin to distributed parameter systems leads to extremal control profile structures (in the space domain) which are very similar to those obtained during optimization (in the time domain) of well mixed bioreactors.
This chapter concerns the use of convex optimization in real-time embedded systems, in areas such as signal processing, automatic control, real-time estimation, real-time resource allocation and decision making, and fast automated trading.
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