Publications related to Analysis

The complexity of quantum support vector machines

Quantum support vector machines employ quantum circuits to define the kernel function. It has been shown that this approach offers a provable exponential speedup compared to any known classical algorithm for certain data sets. The training of such models c ...

Wien2024

Fractional Hardy-Rellich inequalities via integration by parts

Nicola De Nitti

We prove a fractional Hardy-Rellich inequality with an explicit constant in bounded domains of class C-1,C-1. The strategy of the proof generalizes an approach pioneered by E. Mitidieri (Mat. Zametki, 2000) by relying on a Pohozaev-type identity. ...

Pergamon-Elsevier Science Ltd2024

Understanding snow saltation parameterizations: lessons from theory, experiments and numerical simulations

Michael Lehning, Daniela Brito Melo, Armin Sigmund

Drifting and blowing snow are important features in polar and high mountain regions. They control the surface mass balance in windy conditions and influence sublimation of snow and ice surfaces. Despite their importance, model representations in weather an ...

2024

Wandering principal optical axes in van der Waals triclinic materials

Arslan Mazitov

Nature is abundant in material platforms with anisotropic permittivities arising from symmetry reduction that feature a variety of extraordinary optical effects. Principal optical axes are essential characteristics for these effects that define light-matte ...

Nature Portfolio2024

Instability and trajectories of buoyancy-driven annular disks: A numerical study

François Gallaire, Pier Giuseppe Ledda, Giovanni Vagnoli

We investigate the stability of the steady vertical path and the emerging trajectories of a buoyancy -driven annular disk as the diameter of its central hole is varied. The steady and axisymmetric wake associated with the steady vertical path of the disk, ...

Amer Physical Soc2024

Leveraging Continuous Time to Understand Momentum When Training Diagonal Linear Networks

Nicolas Henri Bernard Flammarion, Hristo Georgiev Papazov, Scott William Pesme

In this work, we investigate the effect of momentum on the optimisation trajectory of gradient descent. We leverage a continuous-time approach in the analysis of momentum gradient descent with step size

\gamma

and momentum parameter

\beta

that allows u ...

2024

Numerical investigation of two-dimensional Mode-II delamination in composite laminates

Thomas Keller, Anastasios Vassilopoulos, Congzhe Wang

Existing standards for delamination tests on composite materials typically employ one-dimensional (1D) beam specimens. However, such specimens may not represent real delamination scenarios in composite structures, where cracks tend to propagate in two dime ...

London2024

On the boundedness of n-folds with κ(X) = n - 1

Stefano Filipazzi

In this note, we study certain sufficient conditions for a set of minimal klt pairs ( X, triangle) with kappa ( X, triangle) = dim( X ) - 1 to be bounded. ...

European Mathematical Soc-Ems2024

Numerical Modeling of FRP-Strengthened Masonry Structures Using Equivalent Frame Models

Katrin Beyer, Francesco Vanin, Ivana Bozulic

The present study focuses on enhancing the seismic resistance of existing masonry structures. To that aim, the use of fiber-reinforced polymer (FRP) strengthening serves to improve structural behaviour by attaching FRP strips to the masonry walls. Despite ...

Springer2024

VolRecon: Volume Rendering of Signed Ray Distance Functions for Generalizable Multi-View Reconstruction

Sabine Süsstrunk, Tong Zhang, Yufan Ren

The success of the Neural Radiance Fields (NeRF) in novel view synthesis has inspired researchers to propose neural implicit scene reconstruction. However, most existing neural implicit reconstruction methods optimize perscene parameters and therefore lack ...

2024

Analysis

Graph Chatbot

Chat with Graph Search

The complexity of quantum support vector machines

Fractional Hardy-Rellich inequalities via integration by parts

Understanding snow saltation parameterizations: lessons from theory, experiments and numerical simulations

Wandering principal optical axes in van der Waals triclinic materials

Instability and trajectories of buoyancy-driven annular disks: A numerical study

Leveraging Continuous Time to Understand Momentum When Training Diagonal Linear Networks

Numerical investigation of two-dimensional Mode-II delamination in composite laminates

On the boundedness of n-folds with κ(X) = n - 1

Numerical Modeling of FRP-Strengthened Masonry Structures Using Equivalent Frame Models

VolRecon: Volume Rendering of Signed Ray Distance Functions for Generalizable Multi-View Reconstruction

Wandering principal optical axes in van der Waals triclinic materials

Instability and trajectories of buoyancy-driven annular disks: A numerical study

Fractional Hardy-Rellich inequalities via integration by parts

Leveraging Continuous Time to Understand Momentum When Training Diagonal Linear Networks

The complexity of quantum support vector machines

Understanding snow saltation parameterizations: lessons from theory, experiments and numerical simulations

Numerical investigation of two-dimensional Mode-II delamination in composite laminates

On the boundedness of n-folds with κ(X) = n - 1

Numerical Modeling of FRP-Strengthened Masonry Structures Using Equivalent Frame Models

VolRecon: Volume Rendering of Signed Ray Distance Functions for Generalizable Multi-View Reconstruction