The space-complexity of breadth-first search grows exponentially with the depth of the search tree. Depth-first search cannot detect eventual cycles (or infinite branches) in the hypothesis space. Iterative deepening has no problems with cycles and has linear space complexity. In most practical prob...
We also give improvements on the space complexity of both of these previous algorithms for non-Eulerian directed graphs when the error is negligible (蔚 = 1/N蠅(1)), generalizing what Hoza and Zuckerman (FOCS '18) recently showed for the special case of distinguishing whether a random walk ...
Linear transformation requires multiplying the embedded vector by a weight matrix, followed by a bias shift. To perform matrix operations in Euclidean space, the vector must first be mapped to the tangent space at its current position. In the tangent space, standard Euclidean matrix operations can ...
Estimation of synthetic accessibility score of drug-like molecules based on molecular complexity and fragment contributions. J Cheminform. 2009;1(8):1–11. Google Scholar Nakata M, Shimazaki T. Pubchemqc project: a large-scale first-principles electronic structure database for data-driven ...
From the perspective of the mesoscale structure, the contribution of community structure should be incorporated into the embedded model in future studies, which may improve the embedding accuracy and reduce the algorithm complexity. Conflicts of Interest The authors declare that they have no conflicts ...
The approach is based on a novel representation of the topology of the space as a connected set of components using a structure called adjacency matrix which can capture the topology of objects of different complexity in any space dimension. The formalism is used to explain spatial compositions ...
For example, increasing the number of hidden states generally requires adding additional storage capacity to the system, e.g., by using additional degrees of freedom. Similarly, increasing the number of hidden timesteps carries a “control cost”, i.e., it increases the complexity of the ...
This pattern was mirrored in MYC for both metastasis samples HT260C1 and HT268B1, with distinct sets of MYC downstream genes among tumour subclones (Extended Data Fig. 7e,f,i,j and Supplementary Fig. 3). This result underscores the complexity of this pathway, which is commonly dysregulated ...
We used this complex space-time information to prepare five models of increasing complexity. Our “baseline” model (Mod1) carries the spatial information only through the covariates mentioned above. It does not include any additional information about the spatial and temporal structure of the data,...
the contact topology, resource restrictions, and special criteria are taken to formulate the problem model. Finally, algorithm solutions with low computation complexity are designed to solve the problem model to deliver an efficient and implementable contact plan. The process of CPD is illustrated in ...