Furthermore, the algorithmic cost of the matrix inversion is quantified and added to the matrix filling complexity. The analysis is applied to various objects, such as a perfectly conducting (PEC) parallelepiped, a PEC sphere and a microstrip patch antenna. In analogous MoM computations, performed...
In this research, QR decomposition (QRD) as an alternative mathematical expression to alleviate the computational complexity of those complex algorithms which need matrix inversion is investigated. Herein, the channel estimation algorithm which is targeted to simplify is Least Square (LS) method. The ...
G. The complexity of enumeration and reliability problems. SIAM J. Comput. 8, 410–421 (1979). Article MathSciNet MATH Google Scholar Nisonoff, H. Efficient Partition Function Estimation in Computational Protein Design: Probabilistic Guarantees and Characterization of a Novel Algorithm. PhD thesis...
G. The complexity of enumeration and reliability problems. SIAM J. Comput. 8, 410–421 (1979). Article MathSciNet MATH Google Scholar Nisonoff, H. Efficient Partition Function Estimation in Computational Protein Design: Probabilistic Guarantees and Characterization of a Novel Algorithm. PhD thesis...
The Computational Complexity of Algebraic and Numeric Problems Amer. Elsevier, New York (1975) Google Scholar Bini and Pan, 1985 D Bini, V Pan Fast parallel polynomial division via reduction to triangular Toeplitz matrix inversion and to polynomial inversion modulo a power Info...
Since the time of Abbe, the complexity of optical systems has increased considerably, and the level of knowledge about them has improved a great deal. In computational microscopy systems, the use of laser or LED light sources makes it necessary to consider the questions of coherence [154, 155...
The time complexity of the breadth-first search can be expressed as O(∣V∣ + ∣E∣), where ∣V∣ and ∣E∣ are the numbers of vertices and edges, respectively. In the case of antigen patterns, the former correspond to the number of antigens in the pattern. The latter correspond...
, the resulting sq manifold reconstruction algorithm has query complexity \({\tilde{o}}(n \varepsilon ^{-d / 2})\) , which is proved to be nearly optimal. in the process, we establish low-rank matrix completion results for sq’s and lower bounds for randomized sq estimators in general...
Convis github repository [https://github.com/jahuth/convis/] P8 Why does neural activity in ASD have low complexity: from a perspective of a small‑world network model Koki Ichinose1, Jihoon Park1, Yuji Kawai1, Junichi S uzuki1, Hiroki M ori2, Minoru ...
Design of topologically complex folds To identify challenging design targets for our pipeline, we quantified the topological complexity of protein folds using metrics of protein length and sequence contact order (Extended Data Fig.3a,bandMethods). On the basis of this assessment, and given how challe...