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Immunity and Simplicity for Exact Counting and Other Counting Classes

J. Rothe (2010)

RAIRO - Theoretical Informatics and Applications

Ko [26] and Bruschi [11] independently showed that, in some relativized world, PSPACE (in fact, ⊕P) contains a set that is immune to the polynomial hierarchy (PH). In this paper, we study and settle the question of relativized separations with immunity for PH and the counting classes PP, C = P , and ⊕P in all possible pairwise combinations. Our main result is that there is an oracle A relative to which C = P contains a set that is immune BPP⊕P. In particular, this C = P A set is immune to PHA and to ⊕PA. Strengthening...

Impulse noise removal based on new hybrid conjugate gradient approach

Morteza Kimiaei, Majid Rostami (2016)

Kybernetika

Image denoising is a fundamental problem in image processing operations. In this paper, we present a two-phase scheme for the impulse noise removal. In the first phase, noise candidates are identified by the adaptive median filter (AMF) for salt-and-pepper noise. In the second phase, a new hybrid conjugate gradient method is used to minimize an edge-preserving regularization functional. The second phase of our algorithm inherits advantages of both Dai-Yuan (DY) and Hager-Zhang (HZ) conjugate gradient...

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