Tootfinder

Higher Gauge Flow Models
Alexander Strunk, Roland Assam
https://arxiv.org/abs/2507.16334 https://arxiv.org/pdf/2507.16334

Higher Gauge Flow Models
This paper introduces Higher Gauge Flow Models, a novel class of Generative Flow Models. Building upon ordinary Gauge Flow Models (arXiv:2507.13414), these Higher Gauge Flow Models leverage an L$_{\infty}$-algebra, effectively extending the Lie Algebra. This expansion allows for the integration of the higher geometry and higher symmetries associated with higher groups into the framework of Generative Flow Models. Experimental evaluation on a Gaussian Mixture Model dataset revealed substantial p…

Sampling conditioned diffusions via Pathspace Projected Monte Carlo
Tobias Grafke
https://arxiv.org/abs/2506.15743 https://arxiv.org/…

Sampling conditioned diffusions via Pathspace Projected Monte Carlo
We present an algorithm to sample stochastic differential equations conditioned on rather general constraints, including integral constraints, endpoint constraints, and stochastic integral constraints. The algorithm is a pathspace Metropolis-adjusted manifold sampling scheme, which samples stochastic paths on the submanifold of realizations that adhere to the conditioning constraint. We demonstrate the effectiveness of the algorithm by sampling a dynamical condensation phase transition, conditi…

Toward Inclusive AI-Driven Development: Exploring Gender Differences in Code Generation Tool Interactions
Manaal Basha, Ivan Beschastnikh, Gema Rodriguez-Perez, Cleidson R. B. de Souza
https://arxiv.org/abs/2507.14770

Toward Inclusive AI-Driven Development: Exploring Gender Differences in Code Generation Tool Interactions
Context: The increasing reliance on Code Generation Tools (CGTs), such as Windsurf and GitHub Copilot, are revamping programming workflows and raising critical questions about fairness and inclusivity. While CGTs offer potential productivity enhancements, their effectiveness across diverse user groups have not been sufficiently investigated. Objectives: We hypothesize that developers' interactions with CGTs vary based on gender, influencing task outcomes and cognitive load, as prior research su…

To give some examples:
When police get vastly differential results at investigating crimes against some groups (e.g., Black women) vs. others (e.g., white men), that's malcompetence. Probably plenty of simple malice involved too, and probably the whole gamut of mechanisms I mentioned in the last post are involved here.
Another example, from my own experience: when I stumble over the names of my non-white students but pronounce my white students' names flawlessly, that's malcompetence on my part, because the net effect of my selective incompetence is to make some students feel less welcome in my classroom, which hurts their learning. I'm my case, the reasons for the incompetence are not conscious nor (I think) unconscious malice, but instead a differential capability picked up from a certain kind of upbringing and then (sometimes) insufficiently mitigated by capability-building effort. Because of how I grew up, my ability to pronounce different names is biased (this is true of everyone in the world; most people don't have a classroom instructor position that causes it to matter so much). When I'm successful at mitigating my malcompetence, I use practice time with student intro videos to pare down my competence gap for the specific students in my class. This is time consuming (several hours per week for the first few weeks of classes) and I'm sad to admit that I don't always invest that time. But it's a great example of malcompetence because I have a introspective access to it.

An introduction to Causal Modelling
Gauranga Kumar Baishya
https://arxiv.org/abs/2506.16486 https://arxiv.org/pdf/2506.16486

An introduction to Causal Modelling
This tutorial provides a concise introduction to modern causal modeling by integrating potential outcomes and graphical methods. We motivate causal questions such as counterfactual reasoning under interventions and define binary treatments and potential outcomes. We discuss causal effect measures-including average treatment effects on the treated and on the untreated-and choices of effect scales for binary outcomes. We derive identification in randomized experiments under exchangeability and co…

Graphics4Science: Computer Graphics for Scientific Impacts
Peter Yichen Chen, Minghao Guo, Hanspeter Pfister, Ming Lin, William Freeman, Qixing Huang, Han-Wei Shen, Wojciech Matusik
https://arxiv.org/abs/2506.15786

Graphics4Science: Computer Graphics for Scientific Impacts
Computer graphics, often associated with films, games, and visual effects, has long been a powerful tool for addressing scientific challenges--from its origins in 3D visualization for medical imaging to its role in modern computational modeling and simulation. This course explores the deep and evolving relationship between computer graphics and science, highlighting past achievements, ongoing contributions, and open questions that remain. We show how core methods, such as geometric reasoning an…

A MeerKAT study of a neutral hydrogen rich grouping of galaxies with megaparsec-scale filamentary-like structure
G. Lawrie, R. P. Deane, R. Dav\`e
https://arxiv.org/abs/2507.15699

A MeerKAT study of a neutral hydrogen rich grouping of galaxies with megaparsec-scale filamentary-like structure
Environmental effects within cosmological overdensities, such as galaxy groups and clusters, have been shown to impact galaxies and their cold gas reservoirs and thereby provide constraints on galaxy evolution models. Galaxy groups foster frequent galaxy-galaxy interactions, making them rich environments in which to study galaxy transformation. In this work, we study a serendipitously discovered large overdensity of HI galaxies at z~0.04. The galaxies appear to lie in a filamentary-like structu…

Higher Siegel--Weil formula for unitary groups II: corank one terms
Tony Feng, Benjamin Howard, Mikayel Mkrtchyan
https://arxiv.org/abs/2507.13473 https://…

Higher Siegel--Weil formula for unitary groups II: corank one terms
We prove the higher Siegel--Weil formula for \emph{corank one} terms, relating (1) the $r^{\rm th}$ central derivatives of corank one Fourier coefficients of Siegel--Eisenstein series, and (2) the degrees of special cycles of virtual dimension 0 on the moduli stack of Hermitian shtukas with $r$ legs. Notably, the formula holds for all $r$, regardless of the order of vanishing of the Eisenstein series. This extends earlier work of Feng--Yun--Zhang, who proved the higher Siegel--Weil formula for …

UGKWP and IUGKP methods for Multi-Scale Phonon Transport with Dispersion and Polarization
Hongyu Liu, Xiaojian Yang, Chuang Zhang, Xing Ji, Kun Xu
https://arxiv.org/abs/2506.16203

UGKWP and IUGKP methods for Multi-Scale Phonon Transport with Dispersion and Polarization
This paper presents two novel methods for solving multi-scale phonon transport problems with dispersion and polarization effects: the unified gas-kinetic wave-particle (UGKWP) method and the implicit unified gas-kinetic particle (IUGKP) method. Both approaches are based on solving multiple groups of BGK equations at discrete frequency points. The UGKWP method constructs multiscale macroscopic fluxes at cell interfaces through the integral solution of the unsteady BGK equation and efficiently ca…

Hypothesis testing for quantitative trait locus effects in both location and scale in genetic backcross studies
Guanfu Liu, Pengfei Li, Yukun Liu, Xiaolong Pu
https://arxiv.org/abs/2507.14253

Hypothesis testing for quantitative trait locus effects in both location and scale in genetic backcross studies
Testing the existence of a quantitative trait locus (QTL) effect is an important task in QTL mapping studies. Most studies concentrate on the case where the phenotype distributions of different QTL groups follow normal distributions with the same unknown variance. In this paper we make a more general assumption that the phenotype distributions come from a location-scale distribution family. We derive the limiting distribution of the LRT for the existence of the QTL effect in both location and s…