Ising machines as hardware solvers of combinatorial optimization problems

N Mohseni, PL McMahon, T Byrnes - Nature Reviews Physics, 2022 - nature.com
Ising machines are hardware solvers that aim to find the absolute or approximate ground
states of the Ising model. The Ising model is of fundamental computational interest because …

A tutorial on the design, experimentation and application of metaheuristic algorithms to real-world optimization problems

E Osaba, E Villar-Rodriguez, J Del Ser… - Swarm and Evolutionary …, 2021 - Elsevier
In the last few years, the formulation of real-world optimization problems and their efficient
solution via metaheuristic algorithms has been a catalyst for a myriad of research studies. In …

[PDF][PDF] Introduction to the Theory of Computation

M Sipser - ACM Sigact News, 1996 - dl.acm.org
Automata, Computability, and Complexity 1/Complexity theory 2/Computability theory
2/Automata theory 3/Mathematical Notions and Terminology 3/Sets 3/Sequences and tuples …

[BOOK][B] Computational complexity: a modern approach

S Arora, B Barak - 2009 - books.google.com
This beginning graduate textbook describes both recent achievements and classical results
of computational complexity theory. Requiring essentially no background apart from …

Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming

MX Goemans, DP Williamson - Journal of the ACM (JACM), 1995 - dl.acm.org
We present randomized approximation algorithms for the maximum cut (MAX CUT) and
maximum 2-satisfiability (MAX 2SAT) problems that always deliver solutions of expected …

[BOOK][B] Fundamentals of parameterized complexity

RG Downey, MR Fellows - 2013 - Springer
Parameterized complexity/multivariate complexity algorithmics is an exciting field of modern
algorithm design and analysis, with a broad range of theoretical and practical aspects that …

From the quantum approximate optimization algorithm to a quantum alternating operator ansatz

S Hadfield, Z Wang, B O'gorman, EG Rieffel… - Algorithms, 2019 - mdpi.com
The next few years will be exciting as prototype universal quantum processors emerge,
enabling the implementation of a wider variety of algorithms. Of particular interest are …

A tutorial on the cross-entropy method

PT De Boer, DP Kroese, S Mannor… - Annals of operations …, 2005 - Springer
The cross-entropy (CE) method is a new generic approach to combinatorial and multi-
extremal optimization and rare event simulation. The purpose of this tutorial is to give a …

A threshold of ln n for approximating set cover

U Feige - Journal of the ACM (JACM), 1998 - dl.acm.org
Given a collection ℱ of subsets of S={1,…, n}, set cover is the problem of selecting as few as
possible subsets from ℱ such that their union covers S,, and max k-cover is the problem of …

[BOOK][B] Combinatorial optimization

BH Korte, J Vygen, B Korte, J Vygen - 2011 - Springer
Let us start with two examples. A company has a machine which drills holes into printed
circuit boards. Since it produces many of these boards it wants the machine to complete one …