Tootfinder

¡Pero qué vergüenza mucha gente de mi país! 🤦🏻‍♂️
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Augusto Pinochet aparece por segundo año consecutivo: Estos son los chilenos mšs admirados según Cadem
https://www.chilevision.cl/noticias/nacional/chilenos-mas-admirados-encuesta-cadem-2…

Uniqueness of Skabelund Maximal Curves via Genus and Automorphism Groups
Saeed Tafazolian
https://arxiv.org/abs/2508.12959 https://arxiv.org/pdf/2508.12959…

Uniqueness of Skabelund Maximal Curves via Genus and Automorphism Groups
We present a genus-automorphism characterization of maximal Skabelund curves, showing that they are uniquely determined up to $\mathbb{F}_{q}$-isomorphism by their genus and automorphism group structure.

Automorphic equivalence within gapped phases of infinitely extended fermion systems
Lennart Becker, Stefan Teufel, Marius Wesle
https://arxiv.org/abs/2507.13321

Automorphic equivalence within gapped phases of infinitely extended fermion systems
We prove automorphic equivalence within gapped phases of infinitely extended lattice fermion systems (as well as spin systems) with super-polynomially decaying interactions. As a simple application, we prove a version of Goldstone's theorem for such systems: if an infinite volume interaction is invariant under a continuous symmetry, then any gapped ground state is also invariant under that symmetry.

Automorphisms of the pants graph of a nonorientable surface
Micha{\l} Stukow, B{\l}a\.zej Szepietowski
https://arxiv.org/abs/2507.12613 https://

Automorphisms of the pants graph of a nonorientable surface
We prove that, except in certain low-complexity cases, the automorphism group of the graph of pants decompositions of a nonorientable surface is isomorphic to the mapping class group of that surface.

ADMIRE-BayesOpt: Accelerated Data MIxture RE-weighting for Language Models with Bayesian Optimization
Shengzhuang Chen, Xu Ouyang, Michael Arthur Leopold Pearce, Thomas Hartvigsen, Jonathan Richard Schwarz
https://arxiv.org/abs/2508.11551

ADMIRE-BayesOpt: Accelerated Data MIxture RE-weighting for Language Models with Bayesian Optimization
Determining the optimal data mixture for large language model training remains a challenging problem with an outsized impact on performance. In practice, language model developers continue to rely on heuristic exploration since no learning-based approach has emerged as a reliable solution. In this work, we propose to view the selection of training data mixtures as a black-box hyperparameter optimization problem, for which Bayesian Optimization is a well-established class of appropriate algorith…

Dynamical degrees of affine-triangular automorphisms in dimension four
Enbo Shao, Xiaosong Sun
https://arxiv.org/abs/2509.14584 https://arxiv.org/pdf/2509.…

Dynamical degrees of affine-triangular automorphisms in dimension four
In this paper, let k be the affine n-space over an arbitrary field k. We show that dynamical degrees of affine-triangular automorphisms in dimension 4 are algebraic integers of degree not larger than 4. As a consequence, if char(k) is not equal to 2, then dynamical degrees of quadratic automorphisms in dimension 4 are algebraic integers of degree not larger than 4. We also explore some results in higher dimensions. These results partially give the affirmative answer to the Conjecture in DF21

Automorphism group schemes and Weyl groups of gradings
Alberto Elduque
https://arxiv.org/abs/2507.12321 https://arxiv.org/pdf/2507.12…

Automorphism group schemes and Weyl groups of gradings
A scheme theoretic version of the automorphism group of a grading on an algebra is presented, and the classical result that shows that, over algebraically closed fields of characteristic 0, the automorphism group of a grading is the normalizer of its diagonal group is extended, over arbitrary fields, to this scheme setting. The quotient of the scheme theoretic versions of the automorphism group and the stabilizer of a grading turns out to be a constant group scheme, called the Weyl group sche…

Admiral Ipecac
bot by @…
This is a joke, not a threat: let's not have humor lead to homicide.
#satire #potus45

The conjugacy problem in Out(Fm) when the polynomial restrictions are non-growing
Gabriel Bartlett (IF)
https://arxiv.org/abs/2507.13050 https://

The conjugacy problem in Out(Fm) when the polynomial restrictions are non-growing
We prove that the conjugacy problem in Out(Fm) is solvable for the class of outer automorphisms whose restrictions to their polynomial subgroups are of finite order. To do this, we first investigate the structure of suspensions of free groups by automorphisms whose outer class is of finite order. We then apply a reduction of our main result to certain problems on groups of this form.

Crosslisted article(s) found for cs.LG. https://arxiv.org/list/cs.LG/new
[3/3]:
- ADMIRE-BayesOpt: Accelerated Data MIxture RE-weighting for Language Models with Bayesian Optimiza...
Chen, Ouyang, Pearce, Hartvigsen, Schwarz