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Differential privacy is one of the most common techniques in privacy-preserving machine learning due to its rigorous math definition and theoretical results. Transfer learning and Federated learning a...
Inspired by recent work of Byers we establish a simple connection between the singular values of a transfer matrix evaluated along the imaginary axis and the imaginary eigenvalues of a related Hamilto...
The ith singular value of a transfer matrix need not be a differentiable function of frequency where its multiplicity is greater than one. We show that near a local maximum, however, the largest singu...
We consider the long time behavior of solutions of the d-dimensional linear Boltzmann equation that arises in the weak coupling limit for the Schrodinger equation with a time-dependent random potentia...
Hypoelliptic estimates in radiative transfer.
Typical cohorts in brain imaging studies are not large enough for systematic testing of all the information contained in the images. To build testable working hypotheses, investigators thus rely on an...
We study a coisometry that intertwines Popescu's presentations of minimal isometric dilations of a given operator tuple and of a coisometric lifting of the tuple. Using this we develop an outgoing Cun...
Let A be the adjacency matrix of a graph $X$ and suppose U(t)=exp(itA). We view A as acting on $\cx^{V(X)}$ and take the standard basis of this space to be the vectors $e_u$ for $u$ in $V(X)$. Physici...
Abstract: The corner transfer matrix renormalization group method is an efficient method for evaluating physical quantities in statistical mechanical models. It originates from Baxter's corner transfe...
Let ⊂ Rn, n ≥ 3, be a smooth bounded domain and consider a coupled system in consisting of a conductivity equation ∇ · (x)∇u(t, x) =0 and an anisotropic heat equation −1(x)@t...
Critical behaviour of two systems, subjected to the turbulent mixing,is studied by means of the field theoretic renormalization group. The first system,described by the equilibrium model A, correspond...
We develop a deterministic ab-initio model for the input-output relationship of a multiple- input multiple-output (MIMO) wireless channel, starting from the Maxwell equations com- bined with Ohm's L...
In this paper, we carry out a study of peristaltic flow of Oldroyd fluid in an asymmetric channel in the presence of heat transfer. The governing equations of motion and energy are simplified using al...
Two – dimensional steady flow of an electrically conducting, viscous incompressible fluid past a continuously moving surface is considered in the presence of uniform transverse magnetic field. By taki...
The transfer operator for $\Gamma_0(N)$ and trivial character $\chi_0$ possesses a finite group of symmetries generated by permutation matrices $P$ with $P^2=id$. Every such symmetry leads to a factor...

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