1 code implementation • 17 May 2022 • Andrés F. López-Lopera, François Bachoc, Olivier Roustant
First, we show that our framework enables to satisfy the constraints everywhere in the input space.
no code implementations • 28 Feb 2019 • Andrés F. López-Lopera, ST John, Nicolas Durrande
We introduce a novel finite approximation of GP-modulated Cox processes where positiveness conditions can be imposed directly on the GP, with no restrictions on the covariance function.
no code implementations • 15 Jan 2019 • Andrés F. López-Lopera, François Bachoc, Nicolas Durrande, Jérémy Rohmer, Déborah Idier, Olivier Roustant
Finally, on 2D and 5D coastal flooding applications, we show that more flexible and realistic GP implementations can be obtained by considering noise effects and by enforcing the (linear) inequality constraints.
1 code implementation • 29 Aug 2018 • Andrés F. López-Lopera, Nicolas Durrande, Mauricio A. Alvarez
Since the post-transcriptional regulation of Drosophila depends on spatiotemporal interactions between mRNAs and gap proteins, proper physically-inspired stochastic models are required to study the link between both quantities.
1 code implementation • 10 Apr 2018 • François Bachoc, Agnès Lagnoux, Andrés F. López-Lopera
We first show that the (unconstrained) maximum likelihood estimator has the same asymptotic distribution, unconditionally and conditionally, to the fact that the Gaussian process satisfies the inequality constraints.
Statistics Theory Probability Statistics Theory
1 code implementation • 20 Oct 2017 • Andrés F. López-Lopera, François Bachoc, Nicolas Durrande, Olivier Roustant
Introducing inequality constraints in Gaussian process (GP) models can lead to more realistic uncertainties in learning a great variety of real-world problems.
1 code implementation • 23 Nov 2015 • Andrés F. López-Lopera, Mauricio A. Álvarez
To survive environmental conditions, cells transcribe their response activities into encoded mRNA sequences in order to produce certain amounts of protein concentrations.
no code implementations • 23 Nov 2015 • Andrés F. López-Lopera, Mauricio A. Álvarez, Ávaro A. Orozco
The automatic recognition of PQ disturbances can be seen as a pattern recognition problem, in which different types of waveform distortion are differentiated based on their features.