One way of improving efficiency of Gentry’s fully homomorphic encryption from ideal lattices is controlling the number of operations, but our recollection is that any scheme which controls the bound has not proposed. In this paper, we propose a key generation algorithm for Gentry’s scheme that controls the bound of the circuit depth by using the relation between the circuit depth and the eigenv...

previous studies involving the ideal observer, the task considered has been that detection where it is assumed that there is complete a priori knowledge of the and of the possible object's shape, amplitude, and position. It is shown that the detection task to include the possibility of an unknown, slowly varying back._ _ ground reduces the importance of the low-frequency components in the image...

The object people perceive in an image can depend on its orientation relative to the scene it is in (its reference frame). For example, the images of the symbols × and + differ by a 45 degree rotation. Although real scenes have multiple images and reference frames, psychologists have focused on scenes with only one reference frame. We propose an ideal observer model based on nonparametric Bayes...

A model-independent reconstruction of mechanical profiles (density, pressure) of the solar interior is outlined using the adiabatic sound speed and bouyancy frequency profiles. These can be inferred from helioseismology if both pand g-mode frequencies are measured. A simulated reconstruction is presented using a solar model bouyancy frequency and available sound speed data. Subject headings: Su...

A new possible source of solar 5-minute oscillation is supposed. Weak periodic differential rotation (see Zaqarashvili 1997, hereafter paper I) generates exponentially growing slow magnetosonic waves with period of 22 yr in the radiative interior. The waves propagating with ±450 angles to the radial direction have maximal growth rates. The ideal MHD equations for slow and fast waves are linearl...

We investigate the effect of a strong large scale magnetic field on the reflection of high frequency acoustic modes in rapidly oscillating Ap stars. To that end we consider a toy model composed of an isothermal atmosphere matched onto a polytropic interior and determine the numerical solution to the set of ideal magneto-hydrodynamic equations in a local plane-parallel approximation with constan...