Tootfinder

Labelled growth rates of $\omega$-categorical structures and applications in choiceless set theory
Bertalan Bodor, Samuel Braunfeld, James E. Hanson
https://arxiv.org/abs/2509.12656

Labelled growth rates of $ω$-categorical structures and applications in choiceless set theory
We study the labelled growth rate of an $ω$-categorical structure $\fa$, i.e., the number of orbits of $Aut(\fa)$ on $n$-tuples of distinct elements, and show that the model-theoretic property of monadic stability yields a gap in the spectrum of allowable labelled growth rates. As a further application, we obtain gap in the spectrum of allowable labelled growth rates in hereditary graph classes, with no a priori assumption of $ω$-categoricity. We also establish a way to translate results abou…

For running my #HamRadio portable setup from solar power, I made a power distribution box. I didn't know where to stop, apparently, and now I have a beast that weighs 1.2kg. It has two isolated battery busses, each of which has an XT60M, PowerPole, and 5.5x2.1mm barrel connector to choose from, supporting the batteries I have and that friends might have. It has four other circuits that …

I got a new computer and I’m IN LOVE 🥰
#mntpocketreform
#mntre

Dynamical Quantum Multigraphs
Kassahun H. Betre, Nathan Lewis
https://arxiv.org/abs/2509.08296 https://arxiv.org/pdf/2509.08296

Dynamical Quantum Multigraphs
Motivated by applications in background-independent quantum gravity, we discuss the quantization of labeled and unlabeled finite multigraphs with a maximum edge count. We provide a unified way to represent quantum multigraphs with labeled or unlabeled vertices, which enables the study of quantum multigraphs as dynamical microscopic degrees of freedom and not just as representations of relations among quantum states of particles. The quantum multigraphs represent a quantum mechanical treatment o…

Identifying birdsong syllables without labelled data
M\'elisande Teng, Julien Boussard, David Rolnick, Hugo Larochelle
https://arxiv.org/abs/2509.18412 https://

Training-Free Synthetic Data Generation with Dual IP-Adapter Guidance
Luc Boudier, Loris Manganelli, Eleftherios Tsonis, Nicolas Dufour, Vicky Kalogeiton
https://arxiv.org/abs/2509.22635

Training-Free Synthetic Data Generation with Dual IP-Adapter Guidance
Few-shot image classification remains challenging due to the limited availability of labeled examples. Recent approaches have explored generating synthetic training data using text-to-image diffusion models, but often require extensive model fine-tuning or external information sources. We present a novel training-free approach, called DIPSY, that leverages IP-Adapter for image-to-image translation to generate highly discriminative synthetic images using only the available few-shot examples. DIP…

Exploring Solution Divergence and Its Effect on Large Language Model Problem Solving
Hang Li, Kaiqi Yang, Yucheng Chu, Hui Liu, Jiliang Tang
https://arxiv.org/abs/2509.22480 htt…

Exploring Solution Divergence and Its Effect on Large Language Model Problem Solving
Large language models (LLMs) have been widely used for problem-solving tasks. Most recent work improves their performance through supervised fine-tuning (SFT) with labeled data or reinforcement learning (RL) from task feedback. In this paper, we study a new perspective: the divergence in solutions generated by LLMs for a single problem. We show that higher solution divergence is positively related to better problem-solving abilities across various models. Based on this finding, we propose solut…

Role of correlations in Ruddlesden-Popper bilayer nickelates under compressive strain
Logan Bleys, Nicholas Corkill, Yi-Feng Zhao, Gheorghe Lucian Pascut, Harrison LaBollita, Antia S. Botana, Khandker F. Quader
https://arxiv.org/abs/2509.00940

Role of correlations in Ruddlesden-Popper bilayer nickelates under compressive strain
The recent discovery of superconductivity in thin films of the bilayer Ruddlesden-Popper (RP) nickelate La$_3$Ni$_2$O$_7$ (La327) under compressive strain has generated enormous interest, opening up further opportunities to stabilize superconductivity in this class of materials at ambient pressure. To better understand the many-body normal state from which superconductivity arises, it is important to ascertain the nature and role of correlations in its electronic structure. To provide insights …