Conjugate temperatures

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Conjugate symmetry

—Conjugate symmetry is an entirely new approach to symmetric Boolean functions that can be used to extend existing methods for handling symmetric functions to a much wider class of functions. These are functions that currently appear to have no symmetries of any kind. Such symmetries occur widely in practice. In fact, we show that even the simplest circuits exhibit conjugate symmetry. To demons...

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The past decades have witnessed an extensive study of structured recursion schemes. A general scheme is the hylomorphism, which captures the essence of divide-and-conquer: a problem is broken into sub-problems by a coalgebra; sub-problems are solved recursively; the sub-solutions are combined by an algebra to form a solution. In this paper we develop a simple toolbox for assembling recursive co...

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Variational inference is computationally challenging in models that contain both conjugate and non-conjugate terms. Methods specifically designed for conjugate models, even though computationally efficient, find it difficult to deal with non-conjugate terms. On the other hand, stochastic-gradient methods can handle the nonconjugate terms but they usually ignore the conjugate structure of the mo...

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ژورنال

عنوان ژورنال: Journal of Approximation Theory

سال: 1992

ISSN: 0021-9045

DOI: 10.1016/0021-9045(92)90055-s