Zobrazeno 1 - 10
of 284
pro vyhledávání: '"Picard, Franck"'
Kernel-based testing has revolutionized the field of non-parametric tests through the embedding of distributions in an RKHS. This strategy has proven to be powerful and flexible, yet its applicability has been limited to the standard two-sample case,
Externí odkaz:
http://arxiv.org/abs/2405.13799
We introduce a novel statistical framework for the analysis of replicated point processes that allows for the study of point pattern variability at a population level. By treating point process realizations as random measures, we adopt a functional a
Externí odkaz:
http://arxiv.org/abs/2404.19661
Autor:
Ozier-Lafontaine, Anthony, Fourneaux, Camille, Durif, Ghislain, Arsenteva, Polina, Vallot, Céline, Gandrillon, Olivier, Giraud, Sandrine, Michel, Bertrand, Picard, Franck
Single-cell technologies offer insights into molecular feature distributions, but comparing them poses challenges. We propose a kernel-testing framework for non-linear cell-wise distribution comparison, analyzing gene expression and epigenomic modifi
Externí odkaz:
http://arxiv.org/abs/2307.08509
Most popular dimension reduction (DR) methods like t-SNE and UMAP are based on minimizing a cost between input and latent pairwise similarities. Though widely used, these approaches lack clear probabilistic foundations to enable a full understanding
Externí odkaz:
http://arxiv.org/abs/2201.13053
Functional Principal Component Analysis is a reference method for dimension reduction of curve data. Its theoretical properties are now well understood in the simplified case where the sample curves are fully observed without noise. However, function
Externí odkaz:
http://arxiv.org/abs/2110.12739
Publikováno v:
In ImmunoInformatics June 2024 14
We focus on the estimation of the intensity of a Poisson process in the presence of a uniform noise. We propose a kernel-based procedure fully calibrated in theory and practice. We show that our adaptive estimator is optimal from the oracle and minim
Externí odkaz:
http://arxiv.org/abs/2010.04557
Publikováno v:
Bioinformatics 35, 4011-4019 (2019)
The development of high throughput single-cell sequencing technologies now allows the investigation of the population level diversity of cellular transcriptomes. This diversity has shown two faces. First, the expression dynamics (gene to gene variabi
Externí odkaz:
http://arxiv.org/abs/1710.11028
We propose a novel continuous testing framework to test the intensities of Poisson Processes. This framework allows a rigorous definition of the complete testing procedure, from an infinite number of hypothesis to joint error rates. Our work extends
Externí odkaz:
http://arxiv.org/abs/1705.08800
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