Concept

Complete metric space

Related publications (62)

Denoising ECG Signal by CSTFM Algorithm: Monitoring During Motorbike and Car Races

mHealth technology, by using habitual devices, i.e., smartphones, improves prevention, diagnosis, treatment, monitoring, and management of health. Monitoring heart profile during intense sports activities allows to diagnose pathologies, not identifiable wi ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2019

Approximating Steiner trees and forests with minimum number of Steiner points

Nachshon Cohen

Let R be a finite set of terminals in a convex metric space (M, d). We give approximation algorithms for problems of finding a minimum size set S subset of M of additional points such that the unit-disc graph G[R boolean OR S] of R boolean OR S satisfies s ...

ACADEMIC PRESS INC ELSEVIER SCIENCE2018

On the definition of multi-Koszul modules

In [8] we introduced the notion of multi-Koszul algebra: it is an extension of the definition of generalized Koszul algebra given by R. Berger in [1] for homogeneous algebras (see also [7]) that can be applied to any nonnegatively graded connected algebra ...

2018

Topological Structures on DMC spaces

Rajai Nasser

Two channels are said to be equivalent if they are degraded from each other. The space of equivalent channels with input alphabet X and output alphabet Y can be naturally endowed with the quotient of the Euclidean topology by the equivalence relation. We s ...

2017

Delineating policies: governing spaces with no coextensive institutions

Thomas Charles Marie Pierre Favre-Bulle

Many policies are spatially targeted: they attempt to foster or incent policy actions in areas meeting specific criteria. The identification and delineation of the spatial reality of interest is a major challenge to spatially targeted policies. In many cas ...

EPFL2017

Multidimensional Persistence and Noise

Martina Scolamiero

In this paper, we study multidimensional persistence modules (Carlsson and Zomorodian in Discrete Comput Geom 42(1):71-93, 2009; Lesnick in Found Comput Math 15(3):613-650, 2015) via what we call tame functors and noise systems. A noise system leads to a p ...

Springer2017

ASAP: a web-based platform for the analysis and interactive visualization of single-cell RNA-seq data

Bart Deplancke, Vincent Roland Julien Gardeux, Adrian Shajkofci, Petra Catalina Schwalie

Motivation: Single-cell RNA-sequencing (scRNA-seq) allows whole transcriptome profiling of thousands of individual cells, enabling the molecular exploration of tissues at the cellular level. Such analytical capacity is of great interest to many research gr ...

Oxford University Press2017

The isostatic 3-body problem: a complete solution

Simon Nessim Henein, Florent Cosandier, Ilan Vardi, François Barrot, Johannes Richard Cornelis Geerit Kruis

Kinematic couplings are used when two rigid bodies need to be repeatedly and accurately positioned with respect to each other. They allow for sub-micron positioning repeatability by suppressing play and reducing strains in the bodies. Typical applications ...

2017

Fast recovery and approximation of hidden Cauchy structure

Robert Gerhard Jérôme Luce

We derive an algorithm of optimal complexity which determines whether a given matrix is a Cauchy matrix, and which exactly recovers the Cauchy points defining a Cauchy matrix from the matrix entries. Moreover, we study how to approximate a given matrix by ...

Elsevier Science Inc2016

Effective a posteriori Co-Phasing of Interferometric Fringe Data

Ferréol Arnaud Marie Soulez

We have recently shown that a posteriori co-phasing of multi-spectral interferograms was possible.(1) In this contribution, we extend our approach so that it can be applied to actual data as provided by AMBER(2) or MATISSE instruments. The main advantage o ...

SPIE2016

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