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pro vyhledávání: '"Petit, François"'
The $\gamma$-linear projected barcode was recently introduced as an alternative to the well-known fibered barcode for multiparameter persistence, in which restrictions of the modules to lines are replaced by pushforwards of the modules along linear f
Externí odkaz:
http://arxiv.org/abs/2408.01065
Understanding the causal impact of medical interventions is essential in healthcare research, especially through randomized controlled trials (RCTs). Despite their prominence, challenges arise due to discrepancies between treatment allocation and act
Externí odkaz:
http://arxiv.org/abs/2405.02779
Autor:
Bouvier, Florie, Peyrot, Etienne, Balendran, Alan, Ségalas, Corentin, Roberts, Ian, Petit, François, Porcher, Raphaël
Identifying patients who benefit from a treatment is a key aspect of personalized medicine, which allows the development of individualized treatment rules (ITRs). Many machine learning methods have been proposed to create such rules. However, to what
Externí odkaz:
http://arxiv.org/abs/2308.03398
Individualized treatment rules (ITRs) are deterministic decision rules that recommend treatments to individuals based on their characteristics. Though ubiquitous in medicine, ITRs are hardly ever evaluated in randomized controlled trials. To evaluate
Externí odkaz:
http://arxiv.org/abs/2207.06275
Autor:
Berkouk, Nicolas, Petit, Francois
Relying on sheaf theory, we introduce the notions of projected barcodes and projected distances for multi-parameter persistence modules. Projected barcodes are defined as derived pushforward of persistence modules onto $\mathbb{R}$. Projected distanc
Externí odkaz:
http://arxiv.org/abs/2206.08818
Let $X$ be a real analytic manifold endowed with a distance satisfying suitable properties and let $\mathbf{k}$ be a field. In [PS20], the authors construct a pseudo-distance on the derived category of sheaves of $\mathbf{k}$-modules on $X$, generali
Externí odkaz:
http://arxiv.org/abs/2108.13018
Autor:
Petit, Francois, Schapira, Pierre
Given a topological space $X$, a thickening kernel is a monoidal presheaf on $(\mathbb{R}_{\geq0},+)$ with values in the monoidal category of derived kernels on $X$. A bi-thickening kernel is defined on $(\mathbb{R},+)$. To such a thickening kernel,
Externí odkaz:
http://arxiv.org/abs/2006.13150
We present new insights into causal inference in the context of Heterogeneous Treatment Effects by proposing natural variants of Random Forests to estimate the key conditional distributions. To achieve this, we recast Breiman's original splitting cri
Externí odkaz:
http://arxiv.org/abs/2006.04709
Autor:
Gepner, David, Petit, Francois
We identify the type of $\mathbb{C}[[\hbar]]$-linear structure inherent in the $\infty$-categories which arise in the theory of Deformation Quantization modules. Using this structure, we show that the $\infty$-category of quasicoherent cohomologicall
Externí odkaz:
http://arxiv.org/abs/2004.10176
Publikováno v:
Violence de l’interprétation (xvie-xviie s.): Le texte devant l’inquisition. 412:101-122