Publications associées à Derived algebraic geometry

Unlabeled Principal Component Analysis and Matrix Completion

We introduce robust principal component analysis from a data matrix in which the entries of its columns have been corrupted by permutations, termed Unlabeled Principal Component Analysis (UPCA). Using algebraic geometry, we establish that UPCA is a well-de ...

Microtome Publ2024

Computational tools for twisted topological Hochschild homology of equivariant spectra

Kathryn Hess Bellwald, Inbar Klang

Twisted topological Hochschild homology of Cn-equivariant spectra was introduced by Angeltveit, Blumberg, Gerhardt, Hill, Lawson, and Mandell, building on the work of Hill, Hopkins, and Ravenel on norms in equivariant homotopy theory. In this paper we intr ...

ELSEVIER2022

Algebraic Homotopy Interleaving Distance

Nicolas Michel Berkouk

The theory of persistence, which arises from topological data analysis, has been intensively studied in the one-parameter case both theoretically and in its applications. However, its extension to the multi-parameter case raises numerous difficulties, wher ...

SPRINGER INTERNATIONAL PUBLISHING AG2021

MATHICSE Technical Report : Analytical and numerical study of a modified cell problem for the numerical homogenization of multiscale random fields

Assyr Abdulle, Doghonay Arjmand, Edoardo Paganoni

A central question in numerical homogenization of partial differential equations with multiscale coefficients is the accurate computation of effective quantities, such as the homogenized coefficients. Computing homogenized coefficients requires solving loc ...

EPFL2020

Open and Closed Radicals: Local Geometry around Unpaired Electrons Governs Magic-Angle Spinning Dynamic Nuclear Polarization Performance

David Lyndon Emsley, Yu Rao, Dominik Józef Kubicki, Moreno Lelli, Gabriele Stevanato, Manuel Cordova, Georges Guévork Jean-Jacques Menzildjian

The development of magic-angle spinning dynamic nuclear polarization (MAS DNP) has allowed atomic-level characterization of materials for which conventional solid-state NMR is impractical due to the lack of sensitivity. The rapid progress of MAS DNP has be ...

2020

Neuron Geometry Underlies Universal Network Features in Cortical Microcircuits

Henry Markram, Rodrigo de Campos Perin, Idan Segev, Eyal Gal, Michael London

Why do cortical microcircuits in a variety of brain regions express similar, highly nonrandom, network motifs? To what extent this structure is innate and how much of it is molded by plasticity and learning processes? To address these questions, we develop ...

2020

Nanovolcano microelectrode arrays: toward long-term on-demand registration of transmembrane action potentials by controlled electroporation

Philippe Renaud, Arnaud Bertsch, Benoît Xavier Emmanuel Desbiolles, Nicolas Grégoire Maïno, Stephan Rohr, Etienne de Coulon

Volcano-shaped microelectrodes (nanovolcanoes) functionalized with nanopatterned self-assembled monolayers have recently been demonstrated to report cardiomyocyte action potentials after gaining spontaneous intracellular access. These nanovolcanoes exhibit ...

2020

Design optimization of a CFRP-aluminum joint for a bioengineering application

John Botsis, Georgios Pappas

Lightweight design demands and complexity requirements of modern high-end structures in aerospace, automotive, sports and bioengineering can be successfully covered by a combination of fiber reinforced polymers (FRPs) with metallic components. Conventional ...

Cambridge University Press (CUP)2019

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Derived algebraic geometry

Unlabeled Principal Component Analysis and Matrix Completion

A Hopf algebra model for Dwyer's tame spaces

Computational tools for twisted topological Hochschild homology of equivariant spectra

Algebraic Homotopy Interleaving Distance

MATHICSE Technical Report : Analytical and numerical study of a modified cell problem for the numerical homogenization of multiscale random fields

Adaptive Gradient Descent without Descent

Open and Closed Radicals: Local Geometry around Unpaired Electrons Governs Magic-Angle Spinning Dynamic Nuclear Polarization Performance

Neuron Geometry Underlies Universal Network Features in Cortical Microcircuits

Nanovolcano microelectrode arrays: toward long-term on-demand registration of transmembrane action potentials by controlled electroporation

Design optimization of a CFRP-aluminum joint for a bioengineering application

Graph Chatbot

Chattez avec Graph Search

Adaptive Gradient Descent without Descent

A Hopf algebra model for Dwyer's tame spaces

Unlabeled Principal Component Analysis and Matrix Completion

MATHICSE Technical Report : Analytical and numerical study of a modified cell problem for the numerical homogenization of multiscale random fields

Computational tools for twisted topological Hochschild homology of equivariant spectra

Algebraic Homotopy Interleaving Distance

Nanovolcano microelectrode arrays: toward long-term on-demand registration of transmembrane action potentials by controlled electroporation

Open and Closed Radicals: Local Geometry around Unpaired Electrons Governs Magic-Angle Spinning Dynamic Nuclear Polarization Performance

Neuron Geometry Underlies Universal Network Features in Cortical Microcircuits

Design optimization of a CFRP-aluminum joint for a bioengineering application