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Elastic Meetup #98 - Analyse de données interactive : la rencontre de ES|QL, Arrow et Pandas - YouTube
https://www.youtube.com/watch?v=O7WBydgZErI
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From Ethical Declarations to Provable Independence: An Ontology-Driven Optimal-Transport Framework for Certifiably Fair AI Systems
Sukriti Bhattacharya, Chitro Majumdar
https://arxiv.org/abs/2510.08086

From Ethical Declarations to Provable Independence: An Ontology-Driven Optimal-Transport Framework for Certifiably Fair AI Systems
This paper presents a framework for provably fair AI that overcomes the limits of current bias mitigation methods by systematically removing all sensitive information and its proxies. Using ontology engineering in OWL 2 QL, it formally defines sensitive attributes and infers their proxies through logical reasoning, constructing a sigma algebra G that captures the full structure of biased patterns. Fair representations are then obtained via Delbaen Majumdar optimal transport, which generates var…

A Functional Data Model and Query Language is All You Need
Jens Dittrich
https://arxiv.org/abs/2507.20671 https://arxiv.org/pdf/2507.20671

A Functional Data Model and Query Language is All You Need
We propose the vision of a functional data model (FDM) and an associated functional query language (FQL). Our proposal has far-reaching consequences: we show a path to come up with a modern QL that solves (almost if not) all problems of SQL (NULL-values, impedance mismatch, SQL injection, missing querying capabilities for updates, etc.). FDM and FQL are much more expressive than the relational model and SQL. In addition, in contrast to SQL, FQL integrates smoothly into existing programming lang…

Uniform \emph{a priori} bounds for neutral renormalization. Variation~\RN{2}: $\psi^\bullet$-ql Siegel maps
Dzmitry Dudko, Yusheng Luo, Mikhail Lyubich
https://arxiv.org/abs/2509.23031

Uniform \emph{a priori} bounds for neutral renormalization. Variation~\RN{2}: $ψ^\bullet$-ql Siegel maps
We extend uniform pseudo-Siegel bounds for neutral quadratic polynomials to $ψ^\bullet$-quadratic-like Siegel maps. In this form, the bounds are compatible with the $ψ$-quadratic-like renormalization theory and are easily transferable to various families of rational maps. The main theorem states that the degeneration of a Siegel disk is equidistributed among combinatorial intervals. This provides a precise description of how the $ψ^\bullet$-quadratic-like structure degenerates around the Sie…

Crosslisted article(s) found for math.CV. https://arxiv.org/list/math.CV/new
[1/1]:
- Uniform \emph{a priori} bounds for neutral renormalization. Variation~\RN{2}: $\psi^\bullet$-ql S...
Dzmitry Dudko, Yusheng Luo, Mikhail Lyubich

Strichartz type estimates of the Airy equation
Jie Chen, Fan Gu, Boling Guo
https://arxiv.org/abs/2508.18035 https://arxiv.org/pdf/2508.18035

Strichartz type estimates of the Airy equation
In this article, we show the necessary and sufficient conditions for the inequality $\|u\|_{L_t^qL_x^r}\lesssim \|u\|_{X^{s,b}}$, where $$\|u\|_{X^{s,b}}:=\|\hat{u}(τ,ξ)\langle ξ\rangle^s\langle τ-ξ^3\rangle^b \|_{L_{τ,ξ}^2}. $$ Here, we provide a complete classification of the indices relationships for which this inequality holds true. Such estimates will be very useful in solving the well-posedness for low regularity well-posedness of the Kortewe…

Quantum-like representation of neuronal networks' activity: modeling "mental entanglement"
Andrei Khrennikov, Makiko Yamada
https://arxiv.org/abs/2509.16253 https:…

Quantum-like representation of neuronal networks' activity: modeling "mental entanglement"
Quantum-like modeling (QLM) - quantum theory applications outside of physics - are intensively developed with applications in biology, cognition, psychology, and decision-making. For cognition, QLM should be distinguished from quantum reductionist models in the spirit of Hameroff and Penrose and well as Umezawa and Vitiello. QLM is not concerned with just quantum physical processes in the brain but also QL information processing by macroscopic neuronal structures. Although QLM of cognition and …

Universality Classes of delocalization-localization transitions in Chiral Symplectic Class
Shiyin Kuang, Tong Wang, Zhenyu Xiao, Pengwei Zhao, Ryuichi Shindou
https://arxiv.org/abs/2509.16555

Universality Classes of delocalization-localization transitions in Chiral Symplectic Class
By a simulation study of three-dimensional (3D) and two-dimensional (2D) disordered lattice models in the chiral symplectic class, we show that one-dimensional (1D) weak topology universally induces an intermediate quasi-localized (QL) phase between metal and Anderson-localized phases, in which the localization length of wave functions is divergent only along the spatial direction associated with the weak topological index. Our numerical evaluation of the critical exponents of the metal-to-QL t…