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pro vyhledávání: '"GAUTHIER, Thomas"'
Autor:
Gauthier, Thomas
In this note we study common preperiodic points of rational maps of the Riemann Sphere. We show that given any degrees $d_1,d_2\geq2$, outside a Zariski closed subset of the space of pairs of rational maps $(f,g)$ of degree $d_1$ and $d_2$ respective
Externí odkaz:
http://arxiv.org/abs/2407.13275
Autor:
Siriwardhana, Shamane, McQuade, Mark, Gauthier, Thomas, Atkins, Lucas, Neto, Fernando Fernandes, Meyers, Luke, Vij, Anneketh, Odenthal, Tyler, Goddard, Charles, MacCarthy, Mary, Solawetz, Jacob
We conducted extensive experiments on domain adaptation of the Meta-Llama-3-70B-Instruct model on SEC data, exploring its performance on both general and domain-specific benchmarks. Our focus included continual pre-training (CPT) and model merging, a
Externí odkaz:
http://arxiv.org/abs/2406.14971
Autor:
Gauthier, Thomas
Publikováno v:
Higher Education, Skills and Work-Based Learning, 2024, Vol. 14, Issue 5, pp. 1026-1041.
Autor:
Gauthier, Thomas, Vigny, Gabriel
The aim of this note is to give a proof of Theorem A from our work on the geometric Northcott property in the simpler case of the quadratic family; being in dimension $1$ in both the dynamical space and the parameter space, and having a simple and ex
Externí odkaz:
http://arxiv.org/abs/2307.11245
Autor:
Gauthier, Thomas, Vigny, Gabriel
When an endomorphism $f:X\to X$ of a projective variety which is polarized by an ample line bundle $L$, i.e. such that $f^*L\simeq L^{\otimes d}$ with $d\geq2$, is defined over a number field, Call and Silverman defined a canonical height $\widehat{h
Externí odkaz:
http://arxiv.org/abs/2307.11243
An endomorphism $f:\mathbb{P}^k\to\mathbb{P}^k$ of degree $d\geq2$ is said to be postcritically finite (or PCF) if its critical set $\mathrm{Crit}(f)$ is preperiodic, i.e. if there are integers $m>n\geq0$ such that $f^m(\mathrm{Crit}(f))\subseteq f^n
Externí odkaz:
http://arxiv.org/abs/2305.02246
Autor:
Gauthier, Thomas, Vigny, Gabriel
Jonsson and Reschke showed that birational selfmaps on projective surface defined over a number field satisfy the energy condition of Bedford and Diller so their ergodic properties are very well understood. Under suitable hypotheses on the indetermin
Externí odkaz:
http://arxiv.org/abs/2303.12585
Let $\mathcal{O}_{K}$ be the ring of integers of an imaginary quadratic field $K$. Recently, Ji and Xie proved that every rational map $f \colon \widehat{\mathbb{C}} \rightarrow \widehat{\mathbb{C}}$ of degree $d \geq 2$ whose multipliers all lie in
Externí odkaz:
http://arxiv.org/abs/2212.03661
Autor:
T, Sugirtha, M, Sridevi, Santhakumar, Khailash, Liu, Hao, Kiran, B Ravi, Gauthier, Thomas, Yogamani, Senthil
Modern object detection architectures are moving towards employing self-supervised learning (SSL) to improve performance detection with related pretext tasks. Pretext tasks for monocular 3D object detection have not yet been explored yet in literatur
Externí odkaz:
http://arxiv.org/abs/2206.12738
Annotating objects with 3D bounding boxes in LiDAR pointclouds is a costly human driven process in an autonomous driving perception system. In this paper, we present a method to semi-automatically annotate real-world pointclouds collected by deployme
Externí odkaz:
http://arxiv.org/abs/2202.02666