Complexity, Computational.

, increasing efficiency, reducing complexity, designing procedures, or interacting with humans and machines. An

computational complexity. To address these challenges, we propose an approach that samples a large and dynamic

this thesis, we study the trade-offs between sample complexity, computational cost, communication and

-to-source compiler with respect to productivity of programming FPGAs using a computational chemistry code. We compare

algorithms may be used to reduce both the communication and computational complexity of matrix multiplication

extraordinary complexity. Arranging materials to form functional structures can achieve a much wider range of

problems has been well-studied in information theory and its computational complexity has been wide open.

by these studies remain open, in particular those related to communication overhead, computational

as well as high complexity of analytical tasks in real world applications, it is challenging for

interest, both as a problem in computational group theory and as a new and natural problem in NP of

complexity and computational cost for reconstructing (approximately) an unknown low-rank matrix. The novelty