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Communication complexity of convex optimization - MaRDI portal

Communication complexity of convex optimization (Q1100896)

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scientific article; zbMATH DE number 4045147
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Communication complexity of convex optimization
scientific article; zbMATH DE number 4045147

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    Communication complexity of convex optimization (English)
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    1987
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    We consider a situation where each of two processors has access to a different convex function \(f_ i\), \(i=1,2\), defined on a common bounded domain. The processors are to exchange a number of binary messages, according to some protocol, until they find a point in the domain at which \(f_ 1+f_ 2\) is minimized, within some prespecified accuracy \(\epsilon\). Our objective is to determine protocols under which the number of exchanged messages is minimized.
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    communication complexity
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    convex optimization
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    protocols
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