Tootfinder

Fibering of double twist knots via the adjoint hyperbolic torsion polynomial
Anh T. Tran
https://arxiv.org/abs/2508.14731 https://arxiv.org/pdf/2508.14731

Fibering of double twist knots via the adjoint hyperbolic torsion polynomial
For a hyperbolic knot $K$ in $S^3$, the adjoint hyperbolic torsion polynomial $\mathcal T^{\mathrm{Ad}}_K(t) \in \mathbb C[t^{\pm 1}]$ is defined as a normalization of the twisted Alexander polynomial of $K$ associated with the $\mathrm{SL}_3(\mathbb C)$-representation obtained by composing the holonomy representation of $K$ with the adjoint action of $\mathrm{SL}_2(\mathbb C)$ on its Lie algebra $\mathfrak{sl}_2(\mathbb C)$. In this paper we consider the adjoint hyperbolic torsion polynomial f…

Is #hyperhypocrisy a notion? There seems to be more and more of it.

Sublinear-Time Approximation for Graph Frequency Vectors in Hyperfinite Graphs
Gregory Moroie
https://arxiv.org/abs/2508.14324 https://arxiv.org/pdf/2508.1…

Sublinear-Time Approximation for Graph Frequency Vectors in Hyperfinite Graphs
In this work, we address the problem of approximating the $k$-disc distribution (``frequency vector") of a bounded-degree graph in sublinear-time under the assumption of hyperfiniteness. We revisit the partition-oracle framework of Hassidim, Kelner, Nguyen, and Onak \cite{hassidim2009local}, and provide a concise, self-contained analysis that explicitly separates the two sources of error: (i) the cut error, controlled by hyperfiniteness parameter $ϕ$, which incurs at most $\varepsilon/2$ in $\…

AutoEdit: Automatic Hyperparameter Tuning for Image Editing
Chau Pham, Quan Dao, Mahesh Bhosale, Yunjie Tian, Dimitris Metaxas, David Doermann
https://arxiv.org/abs/2509.15031 h…

AutoEdit: Automatic Hyperparameter Tuning for Image Editing
Recent advances in diffusion models have revolutionized text-guided image editing, yet existing editing methods face critical challenges in hyperparameter identification. To get the reasonable editing performance, these methods often require the user to brute-force tune multiple interdependent hyperparameters, such as inversion timesteps and attention modification, \textit{etc.} This process incurs high computational costs due to the huge hyperparameter search space. We consider searching optim…

Hamiltonian Cycles in Simplicial and Supersolvable Hyperplane Arrangements
Veronika K\"orber, Tobias Schnieders, Jan Stricker, Jasmin Walizadeh
https://arxiv.org/abs/2508.14538

Hamiltonian Cycles in Simplicial and Supersolvable Hyperplane Arrangements
Motivated by the Gray code interpretation of Hamiltonian cycles in Cayley graphs, we investigate the existence of Hamiltonian cycles in tope graphs of hyperplane arrangements, with a focus on simplicial, reflection, and supersolvable arrangements. We confirm Hamiltonicity for all 3-dimensional simplicial arrangements listed in the Grünbaum--Cuntz catalogue. Extending earlier results by Conway, Sloane, and Wilks, we prove that all restrictions of finite reflection arrangements, including all We…

On K3 surfaces with hyperbolic automorphism groups
Koji Fujiwara, Keiji Oguiso, Xun Yu
https://arxiv.org/abs/2507.13726 https://arxiv…

On K3 surfaces with hyperbolic automorphism groups
We show the finiteness of the Néron-Severi lattices of complex projective K3 surfaces whose automorphism groups are non-elementary hyperbolic with explicit descriptions, under the assumption that the Picard number $\ge 6$ which is optimal to ensure the finiteness. Our proof of finiteness is based on the study of genus one fibrations on K3 surfaces and recent work of Kikuta and Takatsu.

A search for the favored hyperfine transition of a 6.7 GHz methanol maser line
A. Kobak, G. Surcis, A. Bartkiewicz, W. H. T. Vlemmings, M. Szymczak
https://arxiv.org/abs/2508.14529

A search for the favored hyperfine transition of a 6.7 GHz methanol maser line
The polarized emission of astrophysical masers, especially OH and methanol lines, is an effective tool to study the magnetic field in high-mass star-forming regions. The magnetic field strength measurement via the Zeeman effect of OH maser emission is well established, but that of the methanol maser emission is still under debate because of its complex hyperfine structure. We aim to identify the dominating hyperfine transition of the Class II methanol maser emission by comparing the magnetic fi…

On combination theorems and Bowditch boundaries of relatively hyperbolic TDLC groups
Swarnali Datta, Arunava Mandal, Ravi Tomar
https://arxiv.org/abs/2508.13038 https://

On combination theorems and Bowditch boundaries of relatively hyperbolic TDLC groups
Based on the work of Farb, Bowditch, and Groves-Manning on discrete relatively hyperbolic groups, we introduce an approach to relative hyperbolicity for totally disconnected locally compact (TDLC) groups. For compactly generated TDLC groups, we prove that this notion is equivalent to the one introduced by Arora-Pedroza. Let $G=A\ast_C B$ or $G=A\ast_C$ where $A$ and $B$ are relatively hyperbolic TDLC groups and $C$ is compact. We prove that $G$ is a relatively hyperbolic TDLC group and give a c…

In-Context Decision Making for Optimizing Complex AutoML Pipelines
Amir Rezaei Balef, Katharina Eggensperger
https://arxiv.org/abs/2508.13657 https://arxiv…

In-Context Decision Making for Optimizing Complex AutoML Pipelines
Combined Algorithm Selection and Hyperparameter Optimization (CASH) has been fundamental to traditional AutoML systems. However, with the advancements of pre-trained models, modern ML workflows go beyond hyperparameter optimization and often require fine-tuning, ensembling, and other adaptation techniques. While the core challenge of identifying the best-performing model for a downstream task remains, the increasing heterogeneity of ML pipelines demands novel AutoML approaches. This work extend…

Counting hyperbolic 4-manifolds with vanishing Seiberg-Witten invariants
Kaixu Zhang
https://arxiv.org/abs/2508.13464 https://arxiv.org/pdf/2508.13464

Counting hyperbolic 4-manifolds with vanishing Seiberg-Witten invariants
Ian Agol and Francesco Lin proved the existence of hyperbolic four-manifolds with vanishing Seiberg-Witten invariants. We prove that the number of such manifolds of volume at most $v$ is asymptotically bounded by $v^{cv}$ considered up to commensurability, which has the same form as the lower bound and upper bound of the number of hyperbolic four-manifolds of volume at most $v$ proved by Tsachik Gelander and Arie Levit.