Sinkhorn Solves Sudoku

  title={Sinkhorn Solves Sudoku},
  author={Todd K. Moon and Jacob H. Gunther and J. J. Kupin},
  journal={IEEE Transactions on Information Theory},
The Sudoku puzzle is a discrete constraint satisfaction problem, as is the error correction decoding problem. We propose here an algorithm for solution to the Sinkhorn puzzle based on Sinkhorn balancing. Sinkhorn balancing is an algorithm for projecting a matrix onto the space of doubly stochastic matrices. The Sinkhorn balancing solver is capable of solving all but the most difficult puzzles. A proof of convergence is presented, with some information theoretic connections. A random… CONTINUE READING
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Publications referenced by this paper.
Showing 1-10 of 10 references

Polynomial approximation algorithms for belief matrix maintenance in identity management

2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601) • 2004
View 3 Excerpts
Highly Influenced

Multiple Constraint Satisfaction by Belief Propagation: An Example Using Sudoku

2006 IEEE Mountain Workshop on Adaptive and Learning Systems • 2006
View 1 Excerpt

The Big Book of Sudoku

M. Huckvale
New York: New Market Press, • 2005
View 2 Excerpts

Diagonal equivalence to matrices with prescribed row and column sums

R. Sinkhorn
Amer. Math. Monthly, vol. 35, pp. 876–879, 1967. • 1967
View 1 Excerpt

A relationship between arbitrary positive matrices and doubly stochastic matrices

R. Sinkhorn
Ann. Math. Statist., vol. 35, pp. 876–879, Jun. 1964. • 1964
View 2 Excerpts

Message-passing and Sudoku

S. Kirkpatrick
[Online]. Available:
View 1 Excerpt

The mathematics of Sudoku

T. Davis
[Online]. Available: http://
View 1 Excerpt

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