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- W4230674738 abstract "About computational complexity, it has been studied for long time. Recent literature has shown that the existing proof method using the diagonal argument or the circuit complexity is not effective. On the other hand, as another approach, calculation of time complexity based on the geometric method is also performed, but it is limited to the quantum algorithm, and it is an application example to the existing method of lower band derivation of quantum circuit complexity, it is essentially unchanged. In this paper, I introduce algorithmic manifolds that explain algorithms by geometric methods and discuss their properties. In the section 2, I discuss the relationship between algorithmic manifolds and time. In the section 3, I discuss the relationship between algorithmic manifolds and amounts of data. In the section 4, I discuss topological characteristics of algorithmic manifolds. The section 5 is the conclusion of this paper." @default.
- W4230674738 created "2022-05-11" @default.
- W4230674738 creator A5059011679 @default.
- W4230674738 date "2017-01-22" @default.
- W4230674738 modified "2023-09-29" @default.
- W4230674738 title "Algorithmic Manifolds and Their Properties" @default.
- W4230674738 doi "https://doi.org/10.31219/osf.io/9w32a" @default.
- W4230674738 hasPublicationYear "2017" @default.
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