Probability and statistics for the engineering, computing, and physical sciences
Probability and statistics for the engineering, computing, and physical sciences
Projection algorithms and monotone operators
Projection algorithms and monotone operators
The rate of convergence for the cyclic projections algorithm II: norms of nonlinear operators
Journal of Approximation Theory
The rate of convergence for the cyclic projections algorithm II: norms of nonlinear operators
Journal of Approximation Theory
Proceedings of the 25th international conference on Machine learning
The rate of convergence for the cyclic projections algorithm III: Regularity of convex sets
Journal of Approximation Theory
Message-passing for Graph-structured Linear Programs: Proximal Methods and Rounding Schemes
The Journal of Machine Learning Research
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The cyclic projections algorithm is an important method for determining a point in the intersection of a finite number of closed convex sets in a Hilbert space. That is, for determining a solution to the "convex feasibility" problem. We study the rate of convergence for the cyclic projections algorithm. The notion of angle between convex sets is defined, which generalizes the angle between linear subspaces. The rate of convergence results are described in terms of these angles.