Publications related to A central limit theorem for integrals of random waves

A Gauss-Bonnet Theorem for Asymptotically Conical Manifolds and Manifolds with Conical Singularities

The purpose of this thesis is to provide an intrinsic proof of a Gauss-Bonnet-Chern formula for complete Riemannian manifolds with finitely many conical singularities and asymptotically conical ends. A geometric invariant is associated to the link of both ...

EPFL2019

Escaping from saddle points on Riemannian manifolds

Nicolas Henri Bernard Flammarion, Yue Sun

We consider minimizing a nonconvex, smooth function f on a Riemannian manifold M. We show that a perturbed version of Riemannian gradient descent algorithm converges to a second-order stationary point (and hence is able to escape saddle points on the manif ...

2019

Fast assembly of Galerkin matrices for 3D solid laminated composites using finite element and isogeometric discretizations

Pablo Antolin Sanchez

This work presents a novel methodology for speeding up the assembly of stiffness matrices for laminate composite 3D structures in the context of isogeometric and finite element discretizations. By splitting the involved terms into their in-plane and out-of ...

2019

Improved Bounds for Discretization of Langevin Diffusions: Near-Optimal Rates without Convexity

Nicolas Henri Bernard Flammarion

We consider minimizing a nonconvex, smooth function

f

on a Riemannian manifold

\mathcal{M}

. We show that a perturbed version of Riemannian gradient descent algorithm converges to a second-order stationary point (and hence is able to escape saddle point ...

2019

Detecting Anisotropic Inclusions Through EIT

Jan Cristina

We study the evolution equation where is the Dirichlet-Neumann operator of a decreasing family of Riemannian manifolds with boundary . We derive a lower bound for the solution of such an equation, and apply it to a quantitative density estimate for the res ...

Springer2017

Regularity for Double Phase Variational Problems

Maria Colombo

We prove sharp regularity theorems for minimisers of a class of variational integrals whose integrand switches between two different types of degenerate elliptic phases, according to the zero set of a modulating coefficient . The model case is given by the ...

2015

Controlling the Long-Range Corrections in Atomistic Monte Carlo Simulations of Two-Phase Systems

Dominic John Tildesley

The long-range correction to the surface tension can amount to up to 55% of the calculated value of the surface tension for cutoffs in the range of 2.1-6.4 sigma. The calculation of the long-range corrections to the surface tension and to the configuration ...

Amer Chemical Soc2015

Multiple Scattering Tomography

Peter Modregger, Christian David, Marco Stampanoni

Multiple scattering represents a challenge for numerous modern tomographic imaging techniques. In this Letter, we derive an appropriate line integral that allows for the tomographic reconstruction of angular resolved scattering distributions, even in the p ...

Amer Physical Soc2014

New Techniques For Obtaining Schubert-Type Formulas For Hamiltonian Manifolds

Silvia Sabatini

In [GT], Goldin and Tolman extend some ideas from Schubert calculus to the more general setting of Hamiltonian torus actions on compact symplectic manifolds with isolated fixed points. (See also [Kn99,Kn08].) The main goal of this paper is to build on this ...

Int Press Boston, Inc2013

Tangent space estimation for smooth embeddings of Riemannian manifolds

Pascal Frossard, Elif Vural, Hemant Tyagi

Numerous dimensionality reduction problems in data analysis involve the recovery of low-dimensional models or the learning of manifolds underlying sets of data. Many manifold learning methods require the estimation of the tangent space of the manifold at a ...

2013

A central limit theorem for integrals of random waves

Graph Chatbot

Chat with Graph Search

A Gauss-Bonnet Theorem for Asymptotically Conical Manifolds and Manifolds with Conical Singularities

Escaping from saddle points on Riemannian manifolds

Fast assembly of Galerkin matrices for 3D solid laminated composites using finite element and isogeometric discretizations

Improved Bounds for Discretization of Langevin Diffusions: Near-Optimal Rates without Convexity

Detecting Anisotropic Inclusions Through EIT

Regularity for Double Phase Variational Problems

Controlling the Long-Range Corrections in Atomistic Monte Carlo Simulations of Two-Phase Systems

Multiple Scattering Tomography

New Techniques For Obtaining Schubert-Type Formulas For Hamiltonian Manifolds

Tangent space estimation for smooth embeddings of Riemannian manifolds

Escaping from saddle points on Riemannian manifolds

Improved Bounds for Discretization of Langevin Diffusions: Near-Optimal Rates without Convexity

Detecting Anisotropic Inclusions Through EIT

Fast assembly of Galerkin matrices for 3D solid laminated composites using finite element and isogeometric discretizations

A Gauss-Bonnet Theorem for Asymptotically Conical Manifolds and Manifolds with Conical Singularities

Regularity for Double Phase Variational Problems

Controlling the Long-Range Corrections in Atomistic Monte Carlo Simulations of Two-Phase Systems

Multiple Scattering Tomography

New Techniques For Obtaining Schubert-Type Formulas For Hamiltonian Manifolds

Tangent space estimation for smooth embeddings of Riemannian manifolds