Publications related to Orthogonal complement

The ABCD of topological recursion

Kontsevich and Soibelman reformulated and slightly generalised the topological recursion of [43], seeing it as a quantisation of certain quadratic Lagrangians in T*V for some vector space V. KS topological recursion is a procedure which takes as initial da ...

San Diego2024

Linear Lipschitz and C-1 extension operators through random projection

Federico Stra

We construct a regular random projection of a metric space onto a closed doubling subset and use it to linearly extend Lipschitz and C-1 functions. This way we prove more directly a result by Lee and Naor [5] and we generalize the C-l extension theorem by ...

ACADEMIC PRESS INC ELSEVIER SCIENCE2021

Convergences of Regularized Algorithms and Stochastic Gradient Methods with Random Projections

Volkan Cevher, Junhong Lin

We study the least-squares regression problem over a Hilbert space, covering nonparametric regression over a reproducing kernel Hilbert space as a special case. We rst investigate regularized algorithms adapted to a projection operator on a closed subspace ...

2020

Flexure Pivot Oscillator Insensitive to Gravity

Simon Nessim Henein, Etienne Frédéric Gabriel Thalmann, Mohammad Hussein Kahrobaiyan

The mechanical oscillator according to the invention comprises an oscillating body (601), at least one rigid intermediate body (602) and a support (600). Each rigid intermediate body is connected to the support by a pair of elements (610, 611) providing ro ...

2020

Automorphisms of even unimodular lattices and equivariant Witt groups

Eva Bayer Fluckiger

We characterize the irreducible polynomials that occur as the characteristic polynomial of an automorphism of an even unimodular lattice of a given signature, generalizing a theorem of Gross and McMullen. As part of the proof, we give a general criterion i ...

EUROPEAN MATHEMATICAL SOC2020

Hybrid regularisation and the (in)admissibility of ridge regression in infinite dimensional Hilbert spaces

Victor Panaretos, Anirvan Chakraborty

We consider the problem of estimating the slope function in a functional regression with a scalar response and a functional covariate. This central problem of functional data analysis is well known to be ill-posed, thus requiring a regularised estimation p ...

2019

On decoupling rate processes in chemical reaction systems - Methods and applications

Dominique Bonvin, Julien Léo Billeter, Michael Amrhein, Diogo Filipe Mateus Rodrigues

Models of chemical reaction systems can be complex as they need to include information regarding the reactions and the mass and heat transfers. The commonly used state variables, namely, concentrations and temperatures, express the interplay between many p ...

2018

Landmark-Based Shape Encoding and Sparse-Dictionary Learning in the Continuous Domain

Michaël Unser, Daniel Andreas Schmitter

We provide a generic framework to learn shape dictionaries of landmark-based curves that are defined in the continuous domain. We first present an unbiased alignment method that involves the construction of a mean shape as well as training sets whose eleme ...

2018

On Decoupling Rate Processes in Chemical Reaction Systems - Methods and Applications

Dominique Bonvin, Julien Léo Billeter, Michael Amrhein, Sriniketh Srinivasan, Diogo Filipe Mateus Rodrigues

Models of chemical reaction systems can be complex as they need to include information regarding the reactions and the mass and heat transfers. The commonly used state variables, namely, concentrations and temperatures, express the interplay between many p ...

Elsevier2017

Shape Projectors for Landmark-Based Spline Curves

Michaël Unser, Daniel Andreas Schmitter

We present a generic method to construct orthogonal projectors for two-dimensional landmark-based parametric spline curves. We construct vector spaces that define a geometric transformation (e.g., affine, similarity, and scaling) that is applied to a refer ...

2017

Orthogonal complement

The ABCD of topological recursion

Linear Lipschitz and C-1 extension operators through random projection

Convergences of Regularized Algorithms and Stochastic Gradient Methods with Random Projections

Flexure Pivot Oscillator Insensitive to Gravity

Automorphisms of even unimodular lattices and equivariant Witt groups

Hybrid regularisation and the (in)admissibility of ridge regression in infinite dimensional Hilbert spaces

On decoupling rate processes in chemical reaction systems - Methods and applications

Landmark-Based Shape Encoding and Sparse-Dictionary Learning in the Continuous Domain

On Decoupling Rate Processes in Chemical Reaction Systems - Methods and Applications

Shape Projectors for Landmark-Based Spline Curves

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Automorphisms of even unimodular lattices and equivariant Witt groups

Linear Lipschitz and C-1 extension operators through random projection

The ABCD of topological recursion

Flexure Pivot Oscillator Insensitive to Gravity

Landmark-Based Shape Encoding and Sparse-Dictionary Learning in the Continuous Domain

On Decoupling Rate Processes in Chemical Reaction Systems - Methods and Applications

Shape Projectors for Landmark-Based Spline Curves

Hybrid regularisation and the (in)admissibility of ridge regression in infinite dimensional Hilbert spaces

On decoupling rate processes in chemical reaction systems - Methods and applications

Convergences of Regularized Algorithms and Stochastic Gradient Methods with Random Projections