document: Abundance of mosaic patterns for CNN with spatially variant templates This work investigates the complexity of one-dimensional cellular neural network mosaic patterns with spatially variant templates on finite and infinite lattices . Various boundary conditions are considered for finite lattices and the exact number of mosaic patterns is computed precisely . The entropy of mosaic patterns with periodic templates can also be calculated for infinite lattices . Furthermore , we show the abundance of mosaic patterns with respect to template periods and , which differ greatly from cases with spatially invariant templates
doc_bio_tags: O O B I O B O B I I O O O O O O O O O O B I O B I I O O O B I O O B I O O O B I O O O O O B I O O O O O O O B I O O O O O O O O B I O O O O O O O O B I O O O O O O O O O O O O O O O O
extractive_keyphrases: mosaic patterns cnn spatially variant templates infinite lattices finite lattices boundary conditions
abstractive_keyphrases: one-dimensional cellular neural network spatial entropy transition matrix