Tootfinder

Happy First Of May!
#may #firstOfMay

On the Farrell--Tate $K$-theory of $\text{Out}(F_n)$
Naomi Andrew, Irakli Patchkoria
https://arxiv.org/abs/2505.21803 https://arxiv.o…

On the Farrell--Tate $K$-theory of $\text{Out}(F_n)$
Using Lück's Chern character isomorphism we obtain a general formula in terms of centralisers for the $p$-adic Farrell--Tate $K$-theory of any discrete group $G$ with a finite classifying space for proper actions. We apply this formula to $\text{Out}(F_n)$. The case $n=p+1$ turns out to be especially interesting for the following reason: Up to conjugacy there is exactly one order $p$ element in $\text{Out}(F_{p+1})$ which does not lift to an order $p$ element in $\text{Aut}(F_{p+1})$. We compu…

This https://arxiv.org/abs/2405.14979 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csGR_…

CraftsMan3D: High-fidelity Mesh Generation with 3D Native Generation and Interactive Geometry Refiner
We present a novel generative 3D modeling system, coined CraftsMan, which can generate high-fidelity 3D geometries with highly varied shapes, regular mesh topologies, and detailed surfaces, and, notably, allows for refining the geometry in an interactive manner. Despite the significant advancements in 3D generation, existing methods still struggle with lengthy optimization processes, irregular mesh topologies, noisy surfaces, and difficulties in accommodating user edits, consequently impeding t…

This https://arxiv.org/abs/2505.18975 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csAR_…

FastMamba: A High-Speed and Efficient Mamba Accelerator on FPGA with Accurate Quantization
State Space Models (SSMs), like recent Mamba2, have achieved remarkable performance and received extensive attention. However, deploying Mamba2 on resource-constrained edge devices encounters many problems: severe outliers within the linear layer challenging the quantization, diverse and irregular element-wise tensor operations, and hardware-unfriendly nonlinear functions in the SSM block. To address these issues, this paper presents FastMamba, a dedicated accelerator on FPGA with hardware-algo…

Today's Irregular Webcomic rerun commentary is worth quoting.
"Something like 97% of all alternate histories end with the Nazis winning World War II. All things considered, we were super lucky to get the timeline we did."
-- David Morgan-Mar, https://www.irregularwebcomic.net/2760.htm

Does the Forced Van der Pol Oscillator Exhibit Irregular Behavior?
Samaira Tibrewal, Soumyajit Seth
https://arxiv.org/abs/2505.22385 https://

Does the Forced Van der Pol Oscillator Exhibit Irregular Behavior?
Nonlinear oscillators are commonly encountered in a wide range of physical and engineering systems, exhibiting rich and complex dynamics. Among these, the Van der Pol oscillator is well known for its self-sustained limit cycle behavior. However, when subjected to external sinusoidal forcing, its dynamics can deviate significantly from this regular behavior. This study explores the emergence of complex dynamical regimes in the sinusoidally forced Van der Pol oscillator, focusing on identifying t…

This https://arxiv.org/abs/2411.10247 has been replaced.
initial toot: https://mastoxiv.page/@arX…

Anderson localization induced by structural disorder
We examine the onset of Anderson localization in three-dimensional systems with structural disorder in the form of lattice irregularities and in the absence of any on-site disordered potential. Analyzing two models with distinct types of lattice regularities, we show that the Anderson localization transition occurs when the strength of the structural disorder is smoothly increased. Performing finite-size scaling analysis of the results, we show that the transition belongs to the same universali…

This https://arxiv.org/abs/2405.15034 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csCG_…

NeCGS: Neural Compression for 3D Geometry Sets
We present NeCGS, the first neural compression paradigm, which can compress a geometry set encompassing thousands of detailed and diverse 3D mesh models by up to 900 times with high accuracy and preservation of detailed geometric structures. Specifically, we first propose TSDF-Def, a new implicit representation that is capable of \textbf{accurately} representing irregular 3D mesh models with various structures into regular 4D tensors of \textbf{uniform} and \textbf{compact} size, where 3D surfa…

When repeats drive the vocabulary: a Byte-Pair Encoding analysis of T2T primate genomes
Marina Popova, Iaroslav Chelombitko, Aleksey Komissarov
https://arxiv.org/abs/2505.08918

When repeats drive the vocabulary: a Byte-Pair Encoding analysis of T2T primate genomes
The emergence of telomere-to-telomere (T2T) genome assemblies has opened new avenues for comparative genomics, yet effective tokenization strategies for genomic sequences remain underexplored. In this pilot study, we apply Byte Pair Encoding (BPE) to nine T2T primate genomes including three human assemblies by training independent BPE tokenizers with a fixed vocabulary of 512,000 tokens using our custom tool, dnaBPE. Our analysis reveals that only 11,569 tokens are shared across all assemblies,…