no code implementations • 27 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.
1 code implementation • 19 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.
no code implementations • 15 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.
no code implementations • 28 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.
no code implementations • 6 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.
1 code implementation • 26 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
no code implementations • 5 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.