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.

We prove that all semisimple varieties of FLew-algebras are discriminator varieties. A characterisation of discriminator and EDPC varieties of FLew-algebras follows. It matches exactly a natural classification of logics over FLew proposed by H. Ono.

We introduce the “Energy-based Generative Adversarial Network” model (EBGAN) which views the discriminator as an energy function that attributes low energies to the regions near the data manifold and higher energies to other regions. Similar to the probabilistic GANs, a generator is seen as being trained to produce contrastive samples with minimal energies, while the discriminator is trained to...

The discriminator of an integer sequence s = (s(i))i≥0, introduced by Arnold, Benkoski, and McCabe in 1985, is the function Ds(n) that sends n to the least integer m such that the numbers s(0), s(1), . . . , s(n−1) are pairwise incongruent modulo m. In this note we present a class of exponential sequences that have the special property that their discriminators are shift-invariant, i.e., that t...

Various binaural models have been proposed for the application of hearing assistance system as well as humanoid robot, and a frequency domain binaural model(FDBM) is the one. Like other binaural models, the original FDBM can separate and segregate a signal from the specific direction based on interaural information, but it works only in the frontal semisphere due to front-back confusion. In ord...

We propose a novel, projection based way to incorporate the conditional information into the discriminator of GANs that respects the role of the conditional information in the underlining probabilistic model. This approach is in contrast with most frameworks of conditional GANs used in application today, which use the conditional information by concatenating the (embedded) conditional vector to...