Publication

Connecting Hodge and Sakaguchi-Kuramoto through a mathematical framework for coupled oscillators on simplicial complexes

Publications associées (31)

Rotating spokes, potential hump and modulated ionization in radio frequency magnetron discharges

In this work, the transition from the gradient drift instability (GDI) into an m = 1 rotating spoke in the radio frequency magnetron discharge was studied by means of the two-dimensional axial-azimuthal (z - y) particle-in-cell/Monte Carlo collision method ...

Iop Publishing Ltd2023

Quantification of the Phenomena Affecting Reflective Arterial Photoplethysmography

Nikolaos Stergiopoulos, Georgios Rovas, Vasiliki Bikia

Photoplethysmography (PPG) is a widely emerging method to assess vascular health in humans. The origins of the signal of reflective PPG on peripheral arteries have not been thoroughly investigated. We aimed to identify and quantify the optical and biomecha ...

MDPI2023

Frequency and time domains interactions in nanophotonics

Andrei Kiselev

In this thesis, we discuss the problems of scattering and optical manipulation related to nanosystems of different complexities. The multipolar decomposition method is used to represent scattering processes in nanosystems as a series of elementary excitati ...

EPFL2023

Short homology bases for hyperelliptic hyperbolic surfaces

Jürgpeter Buser

Given a hyperelliptic hyperbolic surface S of genus g >= 2, we find bounds on the lengths of homologically independent loops on S. As a consequence, we show that for any lambda is an element of (0, 1) there exists a constant N(lambda) such that every such ...

Hebrew Univ Magnes Press2023

Decentralized learning made easy with DecentralizePy

Anne-Marie Kermarrec, Rafael Pereira Pires, Akash Balasaheb Dhasade, Rishi Sharma, Milos Vujasinovic

Decentralized learning (DL) has gained prominence for its potential benefits in terms of scalability, privacy, and fault tolerance. It consists of many nodes that coordinate without a central server and exchange millions of parameters in the inherently ite ...

2023

Deep Learning Meets Sparse Regularization

Rahul Parhi

Deep learning (DL) has been wildly successful in practice, and most of the state-of-the-art machine learning methods are based on neural networks (NNs). Lacking, however, is a rigorous mathematical theory that adequately explains the amazing performance of ...

2023

Adaptive isogeometric methods with C-1 (truncated) hierarchical splines on planar multi-patch domains

Rafael Vazquez Hernandez

Isogeometric analysis is a powerful paradigm which exploits the high smoothness of splines for the numerical solution of high order partial differential equations. However, the tensor-product structure of standard multivariate B-spline models is not well s ...

WORLD SCIENTIFIC PUBL CO PTE LTD2023

Self-sustained dynamics and forced resonant oscillations in flows: cross-junction jets and sloshing liquids

Alessandro Bongarzone

In engineering, oscillatory instabilities and resonances are often considered undesirable flow features and measures are taken to avoid them. This may include avoiding certain parametric regions or implementing control and mitigation strategies. However, t ...

EPFL2023

Augmented Lagrangian Methods for Provable and Scalable Machine Learning

Mehmet Fatih Sahin

Non-convex constrained optimization problems have become a powerful framework for modeling a wide range of machine learning problems, with applications in k-means clustering, large- scale semidefinite programs (SDPs), and various other tasks. As the perfor ...

EPFL2023

Connecting Hodge and Sakaguchi-Kuramoto through a mathematical framework for coupled oscillators on simplicial complexes

Rotating spokes, potential hump and modulated ionization in radio frequency magnetron discharges

Quantification of the Phenomena Affecting Reflective Arterial Photoplethysmography

Frequency and time domains interactions in nanophotonics

Short homology bases for hyperelliptic hyperbolic surfaces

Decentralized learning made easy with DecentralizePy

Deep Learning Meets Sparse Regularization

Adaptive isogeometric methods with C-1 (truncated) hierarchical splines on planar multi-patch domains

Self-sustained dynamics and forced resonant oscillations in flows: cross-junction jets and sloshing liquids

Augmented Lagrangian Methods for Provable and Scalable Machine Learning

Graph Chatbot

Non-intrusive data-driven reduced-order modeling for time-dependent parametrized problems

Rotating spokes, potential hump and modulated ionization in radio frequency magnetron discharges

Quantification of the Phenomena Affecting Reflective Arterial Photoplethysmography

Frequency and time domains interactions in nanophotonics

Short homology bases for hyperelliptic hyperbolic surfaces

Decentralized learning made easy with DecentralizePy

Deep Learning Meets Sparse Regularization

Adaptive isogeometric methods with C-1 (truncated) hierarchical splines on planar multi-patch domains

Self-sustained dynamics and forced resonant oscillations in flows: cross-junction jets and sloshing liquids

Augmented Lagrangian Methods for Provable and Scalable Machine Learning

Non-intrusive data-driven reduced-order modeling for time-dependent parametrized problems