Search Results for author: Julio Rubio

Found 7 papers, 2 papers with code

Semi-Supervised Machine Learning: a Homological Approach

no code implementations27 Jan 2023 Adrián Inés, César Domínguez, Jónathan Heras, Gadea Mata, Julio Rubio

In this paper we describe the mathematical foundations of a new approach to semi-supervised Machine Learning.

A Topological Approach for Semi-Supervised Learning

1 code implementation19 May 2022 Adrián Inés, César Domínguez, Jónathan Heras, Gadea Mata, Julio Rubio

In the former, we have used a homological approach that consists in studying the persistence diagrams associated with the data using the Bottleneck and Wasserstein distances.

Topological Data Analysis

Neuron detection in stack images: a persistent homology interpretation

no code implementations15 Sep 2015 Jónathan Heras, Gadea Mata, Germán Cuesto, Julio Rubio, Miguel Morales

Automation and reliability are the two main requirements when computers are applied in Life Sciences.

SynapCountJ --- a Tool for Analyzing Synaptic Densities in Neurons

no code implementations28 Jul 2015 Gadea Mata, Jónathan Heras, Miguel Morales, Ana Romero, Julio Rubio

The quantification of synapses is instrumental to measure the evolution of synaptic densities of neurons under the effect of some physiological conditions, neuronal diseases or even drug treatments.

Effective persistent homology of digital images

no code implementations6 Oct 2014 Ana Romero, Julio Rubio, Francis Sergeraert

In this paper, three Computational Topology methods (namely effective homology, persistent homology and discrete vector fields) are mixed together to produce algorithms for homological digital image processing.

Defining and computing persistent Z-homology in the general case

1 code implementation26 Mar 2014 Ana Romero, Jónathan Heras, Julio Rubio, Francis Sergeraert

By general case we mean methods able to process simplicial sets and chain complexes not of finite type.

Computational Geometry Symbolic Computation Algebraic Topology

Verifying a platform for digital imaging: a multi-tool strategy

no code implementations5 Mar 2013 Jónathan Heras, Gadea Mata, Ana Romero, Julio Rubio, Rubén Sáenz

Fiji is a Java platform widely used by biologists and other experimental scientists to process digital images.

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