Mobile device localization in wireless sensor networks is a challenging task. It has already been addressed when the WiFI propagation maps of the access points are modeled deterministically. However, this procedure does not take into account the environmental dynamics and also assumes an offline human training calibration. In this paper, the maps are made of an average indoor propagation model ...

Many idealized problems in signal processing, machine learning and statistics can be reduced to the problem of finding the symmetric canonical decomposition of an underlying symmetric and orthogonally decomposable (SOD) tensor. Drawing inspiration from the matrix case, the successive rank-one approximations (SROA) scheme has been proposed and shown to yield this tensor decomposition exactly, an...

The higher order singular value decomposition (HOSVD) of tensors is a generalization of matrix SVD. The perturbation analysis of HOSVD under random noise is more delicate than its matrix counterpart. Recent progress has been made in Richard and Montanari [2014], Zhang and Xia [2017] and Liu et al. [2017] demonstrating that minimax optimal singular spaces estimation and low rank tensor recovery ...

In collaborative anomaly detection, multiple data sources submit their data to an on-line service, in order to detect anomalies with respect to the wider population. A major challenge is how to achieve reasonable detection accuracy without disclosing the actual values of the participants’ data. We propose a lightweight and scalable privacypreserving collaborative anomaly detection scheme called...

Many idealized problems in signal processing, machine learning and statistics can be reduced to the problem of finding the symmetric canonical decomposition of an underlying symmetric and orthogonally decomposable (SOD) tensor. Drawing inspiration from the matrix case, the successive rank-one approximations (SROA) scheme has been proposed and shown to yield this tensor decomposition exactly, an...

We have developed a fast method for predicting the angular power spectrum, Cl, of the cosmic microwave background given cosmological parameters and a primordial power spectrum of perturbations. After pre–computing the radiation temperature and gravitational potential transfer functions over a small sub–space of the total model parameter space, the rest of the model space (six or more cosmologic...

A simplified model in superconductivity theory studied by P. Krotkov and A. Chubukov [KC1, KC2] led to an integral operator K — see (1), (2). They guessed that the equation E0(a, T ) = 1 where E0 is the largest eigenvalue of the operator K has a solution (∗) T (a) = 1− τ(a) with τ(a) ∼ a when a goes to 0. τ(a) imitates the shift of critical (instability) temperature. We give a rigorous analysis...

In this paper we study pattern formation arising in a system of a single reaction-diffusion equation coupled with subsystem of ordinary differential equations, describing spatially-distributed growth of clonal populations of precancerous cells, whose proliferation is controled by growth factors diffusing in the extracellular medium and binding to the cell surface. We extend the results on the e...

We calculate the spin-averaged amplitude for doubly virtual forward Compton scattering off nucleons in framework of manifestly Lorentz invariant baryon chiral perturbation theory at complete one-loop order $O(p^4)$. The calculations are carried out both infinite and a finite volume. obtained results allow detailed estimation finite-volume corrections to which can be extracted on lattice using b...