Tootfinder

Primitive quantales
Amartya Goswami, Elena Caviglia, Luca Mesiti
https://arxiv.org/abs/2506.08124 https://arxiv.org/pdf/2506.08124

Primitive quantales
We generalize Jacobson's notion of primitive ring to the setting of quantales. We show that every primitive ring gives rise to a primitive quantale of ideals. We then prove a density theorem for strongly primitive quantales. Furthermore, we show that primitive quantales are prime and commutative strongly primitive quantales are field quantales.

#Queen confusing me by playing the intro to Arnold Layne again. #QueenTheLegendary1975Concert
I think this is the concert I used to use footage from in the seminar where I got my students to make one-note clarinets from cordial bottles and try and match a particular chord in Bohemian Rhapsod…

One-dimensional quantile-stratified sampling and its application in statistical simulations
Ben O'Neill
https://arxiv.org/abs/2506.07437 https://

One-dimensional quantile-stratified sampling and its application in statistical simulations
In this paper we examine quantile-stratified samples from a known univariate probability distribution, with stratification occurring over a partition of the quantile regions in the distribution. We examine some general properties of this sampling method and we contrast it with standard IID sampling to highlight its similarities and differences. We examine the applications of this sampling method to various statistical simulations including importance sampling. We conduct simulation analysis to …

Know What You Don't Know: Uncertainty Calibration of Process Reward Models
Young-Jin Park, Kristjan Greenewald, Kaveh Alim, Hao Wang, Navid Azizan
https://arxiv.org/abs/2506.09338

Know What You Don't Know: Uncertainty Calibration of Process Reward Models
Process reward models (PRMs) play a central role in guiding inference-time scaling algorithms for large language models (LLMs). However, we observe that even state-of-the-art PRMs can be poorly calibrated and often overestimate success probabilities. To address this, we present a calibration approach, performed via quantile regression, that adjusts PRM outputs to better align with true success probabilities. Leveraging these calibrated success estimates and their associated confidence bounds, w…

This https://arxiv.org/abs/2506.04437 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Graph quandles: Generalized Cayley graphs of racks and right quasigroups
We solve two open problems of Valeriy Bardakov about Cayley graphs of racks and graph-theoretic realizations of right quasigroups. We also extend Didier Caucal's classification of labeled Cayley digraphs to right quasigroups and related algebraic structures like quandles. First, we characterize markings of graphs that realize racks. As an application, we construct rack-theoretic (di)graph invariants from permutation representations of graph automorphism groups. We describe how to compute thes…

This https://arxiv.org/abs/2503.00772 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_eco…

Bayesian inference for dynamic spatial quantile models with interactive effects
With the rapid advancement of information technology and data collection systems, large-scale spatial panel data presents new methodological and computational challenges. This paper introduces a dynamic spatial panel quantile model that incorporates unobserved heterogeneity. The proposed model captures the dynamic structure of panel data, high-dimensional cross-sectional dependence, and allows for heterogeneous regression coefficients. To estimate the model, we propose a novel Bayesian Markov C…

Ranking Quantilized Mean-Field Games with an Application to Early-Stage Venture Investments
Rinel Foguen Tchuendom, Dena Firoozi, Mich\`ele Breton
https://arxiv.org/abs/2507.00853

Ranking Quantilized Mean-Field Games with an Application to Early-Stage Venture Investments
Quantilized mean-field game models involve quantiles of the population's distribution. We study a class of such games with a capacity for ranking games, where the performance of each agent is evaluated based on its terminal state relative to the population's $α$-quantile value, $α\in (0,1)$. This evaluation criterion is designed to select the top $(1-α)\%$ performing agents. We provide two formulations for this competition: a target-based formulation and a threshold-based formulation. In the…

This https://arxiv.org/abs/2505.23507 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Associated groups of symmetric quandles
In this paper, we investigate the structure of associated groups of symmetric quandles. We explore the relationship between the associated group of a symmetric quandle and that of its underlying quandle. A group-theoretic characterization of the associated groups of symmetric quandles is presented. Moreover, we prove that a symmetric quandle is embeddable if and only if its underlying quandle is embeddable. Finally, we determine the abelianizations of these associated groups.

Generative Regression with IQ-BART
Sean O'Hagan, Veronika Ro\v{c}kov\'a
https://arxiv.org/abs/2507.04168 https://arxiv.org/pd…

Generative Regression with IQ-BART
Implicit Quantile BART (IQ-BART) posits a non-parametric Bayesian model on the conditional quantile function, acting as a model over a conditional model for $Y$ given $X$. One of the key ingredients is augmenting the observed data $\{(Y_i,X_i)\}_{i=1}^n$ with uniformly sampled values $τ_i$ for $1\leq i\leq n$ which serve as training data for quantile function estimation. Using the fact that the location parameter $μ$ in a $τ$-tilted asymmetric Laplace distribution corresponds to the $τ^{th}…

Associated groups of symmetric quandles
Toshiyuki Akita
https://arxiv.org/abs/2505.23507 https://arxiv.org/pdf/2505.23507

Associated groups of symmetric quandles
In this paper, we investigate the structure of associated groups of symmetric quandles. We explore the relationship between the associated group of a symmetric quandle and that of its underlying quandle. A group-theoretic characterization of the associated groups of symmetric quandles is presented. Moreover, we prove that a symmetric quandle is embeddable if and only if its underlying quandle is embeddable. Finally, we determine the abelianizations of these associated groups.