A zonal function (ZF) network is a function of the form x 7→ ∑n k=1 ckφ(x · yk), where x and the yk’s are on the on the unit sphere in q+1 dimensional Euclidean space, and where the yk’s are scattered points. In this paper, we study the degree of approximation by ZF networks. In particular, we compare this degree of approximation with that obtained with the classical spherical harmonics. In man...

A celebrated result by Barak et al (JACM’12) shows the impossibility of general-purpose virtual black-box (VBB) obfuscation in the plain model. A recent work by Canetti, Kalai, and Paneth (TCC’15) extends this result also to the random oracle model (assuming trapdoor permutations). In contrast, Brakerski-Rothblum (TCC’15) and Barak et al (EuroCrypt’14) show that in idealized graded encoding mod...

The term cardiac amyloidosis refers to the involvement of the heart as a result of amyloid deposition in heart tissue either in the context of a systemic disease or as a localized form. Several proamyloid proteins can produce amyloid deposits in the heart. Each of these amyloidoses has characteristic clinical (cardiac and extracardiac) features, its own course, and a specific diagnosis and trea...