Improved ParaDiag via low-rank updates and interpolation

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In this thesis we propose and analyze algorithms for some numerical linear algebra tasks: finding low-rank approximations of matrices, computing matrix functions, and estimating the trace of matrices. In the first part, we consider algorithms for building ...

Functional time series analysis, whether based on time or frequency domain methodology, has traditionally been carried out under the assumption of complete observation of the constituent series of curves, assumed stationary. Nevertheless, as is often the c ...

The collective behaviour of stochastic multi-agents swarms driven by Gaussian and non-Gaussian environments is analytically discussed in a mean-field approach. We first exogenously implement long range mutual interactions rules with strengths that are weig ...

We study the notions of mild solution and generalized solution to a linear stochastic partial differential equation driven by a pure jump symmetric Levy white noise, with symmetric alpha-stable Levy white noise as an important special case. We identify con ...

We propose a discretization method for continuous-domain linear inverse problems with multiple-order total-variation (TV) regularization. It is based on a recent result that proves that such inverse problems have sparse polynomial-spline solutions. Our met ...

A new numerically-based method suitable for determining the total strain energy release rate (SERA) involved in two-dimensional (2D) Mode I-dominated delamination under opening loads in FRP laminates is presented. The method is based on the mutual dependen ...

We present a novel statistically-based discretization paradigm and derive a class of maximum a posteriori (MAP) estimators for solving ill-conditioned linear inverse problems. We are guided by the theory of sparse stochastic processes, which specifies cont ...

Nonlinear dynamical systems have been used in many disciplines to model complex behaviors, including biological motor control, robotics, perception, economics, traffic prediction, and neuroscience. While often the unexpected emergent behavior of nonlinear ...

The thermodynamics of an electrically charged, multicomponent continuous medium with electromagnetic fields is analysed in the non-relativistic limit. Applying locally the first and second law of thermodynamics and Maxwell’s equations for a linear theory o ...

A small value of the spin gap in quantum antiferromagnets with strong frustration makes them susceptible to nominally small deviations from the ideal Heisenberg model. One such perturbation, the anisotropic Dzyaloshinskii-Moriya (DM) interaction, is an imp ...

In many envisioned mobile ad hoc networks, nodes are expected to periodically beacon to advertise their presence. In this way, they can receive messages addressed to them or participate in routing operations. Yet, these beacons leak information about the n ...

We address the problem of blind audio source separation in the under-determined and convolutive case. The contribution of each source to the mixture channels in the time-frequency domain is modeled by a zero-mean Gaussian random vector with a full rank cov ...

Improved ParaDiag via low-rank updates and interpolation

Chattez avec Graph Search

Fast deterministic and randomized algorithms for low-rank approximation, matrix functions, and trace estimation

Sparsely observed functional time series: estimation and prediction

Mean-Field Games And Swarms Dynamics In Gaussian And Non-Gaussian Environments

Random field solutions to linear SPDEs driven by symmetric pure jump Levy space-time white noises

Solving Continuous-Domain Problems Exactly with Multiresolution B-Splines

Numerically-based method for fracture characterization of Mode I-dominated two-dimensional delamination in FRP laminates

Sparse Stochastic Processes and Discretization of Linear Inverse Problems

Dynamical Movement Primitives: Learning Attractor Models for Motor Behaviors

Thermodynamics of continuous media with electromagnetic fields

Destruction of valence-bond order in a S=1/2 sawtooth chain with a Dzyaloshinskii-Moriya term

On the Age of Pseudonyms in Mobile Ad Hoc Networks

Nonnegative Matrix Factorization and Spatial Covariance Model for Under-Determined Reverberant Audio Source Separation