Publications related to Whitney embedding theorem

Linearization and Identification of Multiple-Attractor Dynamical Systems through Laplacian Eigenmaps

Dynamical Systems (DS) are fundamental to the modeling and understanding time evolving phenomena, and have application in physics, biology and control. As determining an analytical description of the dynamics is often difficult, data-driven approaches are ...

MICROTOME PUBL2022

On The Singular Set In The Thin Obstacle Problem: Higher-Order Blow-Ups And The Very Thin Obstacle Problem

Xavier Fernandez-Real Girona

We consider the singular set in the thin obstacle problem with weight vertical bar x(n +1)vertical bar(a) for a epsilon (-1, 1), which arises as the local extension of the obstacle problem for the fractional Laplacian (a nonlocal problem). We develop a ref ...

MATHEMATICAL SCIENCE PUBL2021

Temporal complexity of fMRI is reproducible and correlates with higher order cognition

Dimitri Nestor Alice Van De Ville, Amir Hossein Omidvarnia

It has been hypothesized that resting state networks (RSNs), extracted from resting state functional magnetic resonance imaging (rsfMRI), likely display unique temporal complexity fingerprints, quantified by their multiscale entropy patterns (McDonough and ...

2021

Riemannian Optimization For High-Dimensional Tensor Completion

Michael Maximilian Steinlechner

Tensor completion aims to reconstruct a high-dimensional data set where the vast majority of entries is missing. The assumption of low-rank structure in the underlying original data allows us to cast the completion problem into an optimization problem rest ...

Siam Publications2016

Dimension embedding for big data in radio interferometry

Yves Wiaux, Rafael Eduardo Carrillo Rangel, Vijay Kartik

As radio telescope data is now increasingly high-dimensional, data reduction has become essential to reduce computational load while preserving accurate signal reconstruction. Gridding the continuous Fourier visibilities represents the standard approach to ...

2015

MATHICSE Technical Report : Riemannian optimization for high-dimensional tensor completion

Michael Maximilian Steinlechner

Tensor completion aims to reconstruct a high-dimensional data set with a large fraction of missing entries. The assumption of low-rank structure in the underlying original data allows us to cast the completion problem into an optimization problem restricte ...

MATHICSE2015

Harmonic Active Contours

Jean-Philippe Thiran, Xavier Bresson, Dominique Zosso, Virginia Estellers Casas

We propose a segmentation method based on the geometric representation of images as two-dimensional manifolds embedded in a higher dimensional space. The segmentation is formulated as a minimization problem, where the contours are described by a level set ...

Institute of Electrical and Electronics Engineers2014

Creating Personalized Jigsaw Puzzles

Sabine Süsstrunk, Zahra Sadeghipoor Kermani, Cheryl Shaulya Lau, Appu Shaji, Yuliy Gennadievich Schwartzburg

Designing aesthetically pleasing and challenging jigsaw puzzles is considered an art that requires considerable skill and expertise. We propose a tool that allows novice users to create customized jigsaw puzzles based on the image content and a user-define ...

2014

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Whitney embedding theorem

Linearization and Identification of Multiple-Attractor Dynamical Systems through Laplacian Eigenmaps

On The Singular Set In The Thin Obstacle Problem: Higher-Order Blow-Ups And The Very Thin Obstacle Problem

Temporal complexity of fMRI is reproducible and correlates with higher order cognition

The Complexity of Splitting Necklaces and Bisecting Ham Sandwiches

Data-driven Measurement Designs for Magnetic Resonance Imaging

Riemannian Optimization For High-Dimensional Tensor Completion

Dimension embedding for big data in radio interferometry

MATHICSE Technical Report : Riemannian optimization for high-dimensional tensor completion

Harmonic Active Contours

Creating Personalized Jigsaw Puzzles

Graph Chatbot

Chat with Graph Search

Data-driven Measurement Designs for Magnetic Resonance Imaging

Riemannian Optimization For High-Dimensional Tensor Completion

Temporal complexity of fMRI is reproducible and correlates with higher order cognition

The Complexity of Splitting Necklaces and Bisecting Ham Sandwiches

On The Singular Set In The Thin Obstacle Problem: Higher-Order Blow-Ups And The Very Thin Obstacle Problem

MATHICSE Technical Report : Riemannian optimization for high-dimensional tensor completion

Harmonic Active Contours

Linearization and Identification of Multiple-Attractor Dynamical Systems through Laplacian Eigenmaps

Dimension embedding for big data in radio interferometry

Creating Personalized Jigsaw Puzzles