Dual binary discriminator varieties
نویسندگان
چکیده
منابع مشابه
Decidable Discriminator Varieties from Unary Varieties
We determine precisely those locally finite varieties of unary algebras of finite type which, when augmented by a ternary discriminator, generate a variety with a decidable theory.
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The concept of the (dual) binary discriminator was introduced by R.Halaš, I.G.Rosenberg and the author in 1999. We study finite algebras having the (dual) discriminator as a term function. In particular, a simple characterization is obtained for such algebras with a majority term function.
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Let /C be a class of (universal) algebras of fixed type. /C* denotes the class obtained by augmenting each member of K, by the ternary discriminator function (/(x,y, z) = x if x / ?/, ^(x,x,z) = 2:), while V(/C*) is the closure of /C* under the formation of subalgebras, homomorphic images, and arbitrary Cartesian products. For example, the class of Boolean algebras is definitionally equivalent ...
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We propose in this paper a novel approach to tackle the problem of mode collapse encountered in generative adversarial network (GAN). Our idea is intuitive but proven to be very effective, especially in addressing some key limitations of GAN. In essence, it combines the Kullback-Leibler (KL) and reverse KL divergences into a unified objective function, thus it exploits the complementary statist...
متن کاملDecidable discriminator varieties with lattice stalks
We determine those universal classes of lattices which generate a decidable discriminator variety when augmented by a ternary discriminator term. They are the locally finite universal classes whose finite members are almost homogeneous.
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ژورنال
عنوان ژورنال: The Art of Discrete and Applied Mathematics
سال: 2019
ISSN: 2590-9770
DOI: 10.26493/2590-9770.1324.5b2