Zobrazeno 1 - 10
of 43
pro vyhledávání: '"Fan, Honglu"'
The complex and unpredictable nature of deep neural networks prevents their safe use in many high-stakes applications. There have been many techniques developed to interpret deep neural networks, but all have substantial limitations. Algorithmic task
Externí odkaz:
http://arxiv.org/abs/2312.06581
Rotary Position Embeddings (RoPE) have been shown to effectively encode positional information in transformer-based language models. However, these models fail to generalize past the sequence length they were trained on. We present YaRN (Yet another
Externí odkaz:
http://arxiv.org/abs/2309.00071
The solution set of a system of polynomial equations typically contains ill-behaved, singular points. Resolution is a fundamental process in geometry in which we replace singular points with smooth points, while keeping the rest of the solution set u
Externí odkaz:
http://arxiv.org/abs/2307.00252
Autor:
Sanchez, Guillaume, Fan, Honglu, Spangher, Alexander, Levi, Elad, Ammanamanchi, Pawan Sasanka, Biderman, Stella
Classifier-Free Guidance (CFG) has recently emerged in text-to-image generation as a lightweight technique to encourage prompt-adherence in generations. In this work, we demonstrate that CFG can be used broadly as an inference-time technique in pure
Externí odkaz:
http://arxiv.org/abs/2306.17806
We prove a higher genus version of the genus $0$ local-relative correspondence of van Garrel-Graber-Ruddat: for $(X,D)$ a pair with $X$ a smooth projective variety and $D$ a nef smooth divisor, maximal contact Gromov-Witten theory of $(X,D)$ with $\l
Externí odkaz:
http://arxiv.org/abs/2001.05347
We extend the definition of relative Gromov--Witten invariants with negative contact orders to all genera. Then we show that relative Gromov--Witten theory forms a partial CohFT. Some cycle relations on the moduli space of stable maps are also proved
Externí odkaz:
http://arxiv.org/abs/1907.07133
Autor:
Fan, Honglu, Wu, Longting
We derive a recursive formula for certain relative Gromov-Witten invariants with maximal tangency condition via the Witten-Dijkgraaf-Verlinde-Verlinde equation. For certain relative pairs, we get explicit formulae of invariants using the recursive fo
Externí odkaz:
http://arxiv.org/abs/1902.05739
Autor:
Fan, Honglu, Lee, Yuan-Pin
In this companion piece to 1712.03573, some variations on the main results there are sketched. In particular, the recursions in 1712.03573, which we interpreted as the quantum Lefschetz, is reformulated in terms of Givental's quantization formalism,
Externí odkaz:
http://arxiv.org/abs/1812.01732
Publikováno v:
Sel. Math. New Ser. (2019) 25: 54
Given a smooth projective variety $X$ with a smooth nef divisor $D$ and a positive integer $r$, we construct an $I$-function, an explicit slice of Givental's Lagrangian cone, for Gromov--Witten theory of the root stack $X_{D,r}$. As an application, w
Externí odkaz:
http://arxiv.org/abs/1811.10807
Publikováno v:
J. Topol. 13(2020) issue 1, 269-307
In this paper, we define genus-zero relative Gromov--Witten invariants with negative contact orders. Using this, we construct relative quantum cohomology rings and Givental formalism. A version of Virasoro constraints also follows from it.
Comme
Comme
Externí odkaz:
http://arxiv.org/abs/1810.06952