Theory of Computation offers a rigorous mathematical framework that underpins our understanding of what can be computed and how efficiently these computations may be performed. It encompasses ...

Complexity Theory: The study of the resources required for solving computational problems, classifying them based on time, space, and other measures.

We present very fast algorithms for the exact computation of estimators for time series, based on complexity penalized log-likelihood or M-functions. The algorithms apply to a wide range of ...

The objective of this course is to provide an introduction to the theory of computation. The course shall cover three branches of theoretical computer science and their interconnections: 1) the theory ...

This course gives an introduction to the mathematical foundations of computation. The course will look at Turing machines, universal computation, the Church-Turing thesis, the halting problem and ...

But is there a simpler way? Questions like this one, about the most efficient way to solve problems, are at the heart of the branch of computer science known as computational complexity theory.

M. Leonetti, E. Hörmann, L. Leuzzi, G. Parisi, G. Ruocco, Optical computation of a spin glass dynamics with tunable complexity, Proceedings of the National Academy ...

Quantum Computation and Quantum Information by Nielsen and Chuang is the foundational text, covering algorithms, cryptography ...

He then uses graph theory to prove that any game exhibiting both location traversal and single-use paths is NP-hard, that’s the same class of complexity as the travelling salesman problem.