Max-Cut in planar graphs is NL-hard; 4. $\\\\oplus $ Directed-spanning-trees in planar graphs is $\\\\oplus $L-complete. For (1) we analyze the space complexity of the well known Baker's algorithm [1] using a r
This means that after sufficient time, subject to the complexity of the problem, the solutions are good enough for use, which may not be strictly optimal though. This is a great boon as the exact methods would not even have managed to return a single solution. The sampling-based motion ...
even the state-of-the-art algorithms developed for the NISQ era often suffer from high space complexity requirements for particular problem classes. In this paper, we show that it is possible to greatly reduce the number of qubits needed for the Travelling Salesman Problem (TSP), a paradigmatic...
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In one-hot encoding, although the implementation is easy and straightforward, space complexity is very high for large vocabulary size. In our example, we have a limited number of dimensions in vector space. However, in a vocabulary with a size of 10 million words, the representations of words...
performance properties are investigated by numerical experiments of increasing complexity. Our numerical experiments confirm that GMRES iterations that are preconditioned by the proposed GMG method converge at a desired rate that is (nearly) independent of the mesh sizes in space and time; cf. also [...
based on a low-complexity single-user equalization. By introducing the spatial dimension at the transmit processing, jointly with time and/or frequency dimensions, a number of different space–frequency MIMO transceivers were proposed to enable orthogonal multiple-access in multiuser systems combining ...
The cooperation of the three branches makes more simple and clear statements on basic problems in cognition science and obtains more simple and fast algorithms; the N-harp problems mentioned above can be resolved by at most O(m2n) complexity, where m, n are numbers of objects and factors ...
Finally, CytoSPACE assigns each cell to spatial coordinates in a manner that minimizes a correlation-based cost function constrained by the inferred number of cells per spot via a shortest augmenting path optimization algorithm. An efficient integer programming approximation method that yields similar ...
As it is stated in Section 3.3, given the complexity of data sources, uniform patterns do not always exist across the entire dataset and specific patterns only fit in certain parts of the data at certain time. So, it is necessary for data mining algorithms to learn using the surrounding ...