Since its introduction in 2010 by Lyubashevsky, Peikert and Regev, the ring learning with errors problem (ring-LWE) has become a popular building block for cryptographic primitives, due to its great versatility and its hardness proof consisting of a (quantum) reduction from ideal lattice problems. But, for a given modulus q and degree n number field K, generating ring-LWE samples can be perceiv...

The scaling form of the critical equation of state is computed for O(N)-symmetric models. We employ a method based on an exact flow equation for a coarse grained free energy. A suitable truncation is solved numerically.

study of the spatial variability of infiltration characteristics is essential to estimating infiltration parameters on a local scale. the objectives of the present study were to scale the parameters of a philip two-term model for infiltration and survey the variability of infiltration characteristics geostatistically using wastewater in the bajgah catchment. infiltration was measured at 30 poin...

We consider the bilinear inverse problem of recovering two vectors, x and w, in R from their entrywise product. For the case where the vectors have known signs and belong to known subspaces, we introduce the convex program BranchHull, which is posed in the natural parameter space and does not require an approximate solution or initialization in order to be stated or solved. Under the structural...

Beautiful formulas are known for the expected cost of random two-dimensional assignment problems, but in higher dimensions even the scaling is not known. In three dimensions and above, the problem has natural “Axial” and “Planar” versions, both of which are NP-hard. For 3-dimensional Axial random assignment instances of size n, the cost scales as Ω(1/n), and a main result of the present paper i...

We study the problem of learning the graph structure associated with a general discrete graphical models (each variable can take any of m > 1 values, the clique factors have maximum size c ≥ 2) from samples, under high-dimensional scaling where the number of variables p could be larger than the number of samples n. We provide a quantitative consistency analysis of a procedure based on node-wise...

An output feedback for a chain of integrator is given in this paper. This one is such that the closed loop system obtained is homogeneous in the bi-limit. Furthermore the associated Lyapunov function satisfies a specific property which is useful in the context of dynamic scaling as used in (Andrieu at al., 2008, Automatica).

We prove that suitable wavelets and scaling functions give characterizations and unconditional bases of the weighted Sobolev space Lp,s(w) with Ap or Aloc p weights. In the case of w ∈ Ap, we use only wavelets with proper regularity. If we consider the case of w ∈ Aloc p , we obtain the results by applying wavelets and scaling functions in Cs+1 comp(R n). We also construct the greedy bases for ...

introduction: in different investigations, the destructive effect of ultrasonic scalers on the margins of composites has been studied, but there are very few studies on the effects of ultrasonic scalers on the microleakage of poly-acid modified composite resin and resin modified glass ionomers. the main purpose of this study was to evaluate the marginal microleakage of class v preparations rest...

various scaling methods such as relative viscosity, peclet and reynolds scaling were used to find the best scaling law. scaling and modeling of the flow curves of various model emulsions consist of tragacanth gum (tg) (0.5, 1 % wt), oleic acid (5, 10% v/v) and wpi (2, 4 % wt) were investigated and the best models were selected. as these emulsions are non-newtonian, they do not obey the usual, si...