Zobrazeno 1 - 10
of 107
pro vyhledávání: '"Gauthier, Thomas P."'
Autor:
Gauthier, Thomas, Vigny, Gabriel
We prove that several dynamically defined fractals in $\mathbb{C}$ and $\mathbb{C}^2$ which arise from different type of polynomial dynamical systems can not be the same objects. One of our main results is that the closure of Misiurewicz PCF cubic po
Externí odkaz:
http://arxiv.org/abs/2411.16178
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, 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