Zobrazeno 1 - 10
of 25
pro vyhledávání: '"Gillman, Nate"'
As the quality of large language models has improved, there has been increased interest in using them to model non-linguistic tokens. For example, the Decision Transformer recasts agentic decision making as a sequence modeling problem, using a decode
Externí odkaz:
http://arxiv.org/abs/2410.22269
Autor:
Gillman, Nate, Freeman, Michael, Aggarwal, Daksh, Hsu, Chia-Hong, Luo, Calvin, Tian, Yonglong, Sun, Chen
As synthetic data becomes higher quality and proliferates on the internet, machine learning models are increasingly trained on a mix of human- and machine-generated data. Despite the successful stories of using synthetic data for representation learn
Externí odkaz:
http://arxiv.org/abs/2402.07087
The recent success of distributed word representations has led to an increased interest in analyzing the properties of their spatial distribution. Several studies have suggested that contextualized word embedding models do not isotropically project t
Externí odkaz:
http://arxiv.org/abs/2108.07344
Publikováno v:
Res. Number Theory (2020) 6:9
Fix a non-CM elliptic curve $E/\mathbb{Q}$, and let $a_E(p) = p + 1 - \#E(\mathbb{F}_p)$ denote the trace of Frobenius at $p$. The Sato-Tate conjecture gives the limiting distribution $\mu_{ST}$ of $a_E(p)/(2\sqrt{p})$ within $[-1, 1]$. We establish
Externí odkaz:
http://arxiv.org/abs/1907.08285
Publikováno v:
Annales Fennici Mathematici (2021), Vol 46 No. 2, 683-702
Let $\ell_1,\ell_2,\dots$ be a countable collection of lines in ${\mathbb R}^d$. For any $t \in [0,1]$ we construct a compact set $\Gamma\subset{\mathbb R}^d$ with Hausdorff dimension $d-1+t$ which projects injectively into each $\ell_i$, such that t
Externí odkaz:
http://arxiv.org/abs/1906.06288
Autor:
Gillman, Nate
Publikováno v:
J. Number Theory (2020) 206, 46-61
Blomer and Maga recently proved that, if $F$ is an $L^2$-normalized Hecke Maass cusp form for $\mathrm{SL}_n(\mathbb Z)$, and $\Omega$ is a compact subset of $\mathrm{PGL}_n(\mathbb R)/\mathrm{PO}_n(\mathbb R)$, then we have $\|F|_\Omega\|_\infty\ll_
Externí odkaz:
http://arxiv.org/abs/1904.12554
Publikováno v:
Philos. Trans. Roy. Soc. A (2019) 378
We celebrate the 100th anniversary of Srinivasa Ramanujan's election as a Fellow of the Royal Society, which was largely based on his work with G. H. Hardy on the asymptotic properties of the partition function. After recalling this revolutionary wor
Externí odkaz:
http://arxiv.org/abs/1902.05421
Publikováno v:
Res. Number Theory (2018) 4:39
A theorem of G\"ottsche establishes a connection between cohomological invariants of a complex projective surface $S$ and corresponding invariants of the Hilbert scheme of $n$ points on $S.$ This relationship is encoded in certain infinite product $q
Externí odkaz:
http://arxiv.org/abs/1808.04431
Publikováno v:
Philosophical Transactions: Mathematical, Physical and Engineering Sciences, 2020 Jan . 378(2163), 1-13.
Externí odkaz:
https://www.jstor.org/stable/26874483
