Publications related to Wirtinger derivatives

IMPROVED REGULARITY OF SECOND DERIVATIVES FOR SUBHARMONIC FUNCTIONS

Xavier Fernandez-Real Girona, Riccardo Tione

In this note, we prove that if a subharmonic function Delta u >= 0 has pure second derivatives partial derivative(ii)u that are signed measures, then their negative part (partial derivative(ii)u)- belongs to L-1 (in particular, it is not singular). We then ...

Providence2023

Learning of Continuous and Piecewise-Linear Functions With Hessian Total-Variation Regularization

Michaël Unser, Shayan Aziznejad, Joaquim Gonçalves Garcia Barreto Campos

We develop a novel 2D functional learning framework that employs a sparsity-promoting regularization based on second-order derivatives. Motivated by the nature of the regularizer, we restrict the search space to the span of piecewise-linear box splines shi ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2022

A computational workflow for the expansion of heterologous biosynthetic pathways to natural product derivatives

Vassily Hatzimanikatis, Jasmin Maria Hafner

Plant natural products (PNPs) and their derivatives are important but underexplored sources of pharmaceutical molecules. To access this untapped potential, the reconstitution of heterologous PNP biosynthesis pathways in engineered microbes provides a valua ...

NATURE RESEARCH2021

Local Non-Rigid Structure-from-Motion from Diffeomorphic Mappings

Pascal Fua, Mathieu Salzmann, Shaifali Parashar

We propose a new formulation to non-rigid structure-from-motion that only requires the deforming surface to preserve its differential structure. This is a much weaker assumption than the traditional ones of isometry or conformality. We show that it is neve ...

IEEE2020

Local Non-Rigid Structure-from-Motion from Locally Diffeomorphic Mappings

Pascal Fua, Mathieu Salzmann, Shaifali Parashar

We propose a new formulation to the non-rigid structure-from-motion problem that only requires the deforming surface to meaning that its differential structure is preserved. This is a much weaker assumption than the traditional ones of isometry or conforma ...

2020

On the choice of metric in gradient-based theories of brain function

Wulfram Gerstner, Johanni Michael Brea, Jean-Pascal Théodor Pfister

The idea that the brain functions so as to minimize certain costs pervades theoretical neuroscience. Because a cost function by itself does not predict how the brain finds its minima, additional assumptions about the optimization method need to be made to ...

2020

Design, Synthesis and in vitro Controlled Release of New Adamantanodiarylketone Antimycobacterials

Stewart Cole, Anthony Vocat

In the present investigation, the synthesis, the biology and the development of matrix tablet formulations for the in vitro controlled release of new adamantane diarylketone antimycobacterial derivatives, is presented. In the skeleton of the new compounds, ...

WILEY-V C H VERLAG GMBH2019

Synthesis of Adamantane Aminoethers with Antitubercular Potential

Stewart Cole, Anthony Vocat

Background: Intrigued by the fact that aminoadamantane derivatives, bearing the active 1,2-ethylenediamine moiety, are promising antitubercular agents, we report herein the synthesis and the antitubercular evaluation of N,N'-substituded-4,4'-[adamantane-2, ...

Bentham Science Publ Ltd2017

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Wirtinger derivatives

IMPROVED REGULARITY OF SECOND DERIVATIVES FOR SUBHARMONIC FUNCTIONS

Learning of Continuous and Piecewise-Linear Functions With Hessian Total-Variation Regularization

A computational workflow for the expansion of heterologous biosynthetic pathways to natural product derivatives

Local Non-Rigid Structure-from-Motion from Diffeomorphic Mappings

Local Non-Rigid Structure-from-Motion from Locally Diffeomorphic Mappings

On the choice of metric in gradient-based theories of brain function

Design, Synthesis and in vitro Controlled Release of New Adamantanodiarylketone Antimycobacterials

Graphene- and Graphene Oxide-Based Nanocomposite Platforms for Electrochemical Biosensing Applications

Synthesis of Adamantane Aminoethers with Antitubercular Potential

Benzothiophene, benzyloxybenzylidene and indoline derivatives useful for the treatment of tuberculosis

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Design, Synthesis and in vitro Controlled Release of New Adamantanodiarylketone Antimycobacterials

Graphene- and Graphene Oxide-Based Nanocomposite Platforms for Electrochemical Biosensing Applications

Synthesis of Adamantane Aminoethers with Antitubercular Potential

Local Non-Rigid Structure-from-Motion from Locally Diffeomorphic Mappings

IMPROVED REGULARITY OF SECOND DERIVATIVES FOR SUBHARMONIC FUNCTIONS

Learning of Continuous and Piecewise-Linear Functions With Hessian Total-Variation Regularization

A computational workflow for the expansion of heterologous biosynthetic pathways to natural product derivatives

Local Non-Rigid Structure-from-Motion from Diffeomorphic Mappings

Benzothiophene, benzyloxybenzylidene and indoline derivatives useful for the treatment of tuberculosis

On the choice of metric in gradient-based theories of brain function