Tootfinder

SteinerSQL: Graph-Guided Mathematical Reasoning for Text-to-SQL Generation
Xutao Mao, Tao Liu, Hongying Zan
https://arxiv.org/abs/2509.19623 https://arxiv.…

SteinerSQL: Graph-Guided Mathematical Reasoning for Text-to-SQL Generation
Large Language Models (LLMs) struggle with complex Text-to-SQL queries that demand both sophisticated mathematical reasoning and intricate schema navigation. Existing methods often tackle these challenges in isolation, creating a fractured reasoning process that compromises logical and structural correctness. To resolve this, we introduce SteinerSQL, a framework that unifies these dual challenges into a single, graph-centric optimization problem. SteinerSQL operates in three stages: mathematica…

Future Policy Aware Preference Learning for Mathematical Reasoning
Minjae Oh, Yunho Choi, Dongmin Choi, Yohan Jo
https://arxiv.org/abs/2509.19893 https://a…

Future Policy Aware Preference Learning for Mathematical Reasoning
Preference learning methods such as Direct Preference Optimization (DPO) have become standard for Large Language Model (LLM) post-training, yet they are often ineffective for mathematical reasoning. A key challenge is the large token overlap between preferred and dispreferred trajectories; lowering the probability of dispreferred trajectories also reduces the probability of shared useful tokens, leading to over-penalization and overall performance collapse. As a mitigation, existing algorithms …

Gosto mais dessa versão da Marise Monte do que da original dos Mutantes:
https://www.youtube.com/watch?v=gI9bp98eADQ

Further fundamental bounds on the Hall effect in three-dimensional metamaterials
Christian Kern, Graeme W. Milton
https://arxiv.org/abs/2509.19513 https://…

Further fundamental bounds on the Hall effect in three-dimensional metamaterials
We consider the problem of bounding the effective nonreciprocal properties of metamaterials. Recently, significant progress was made by showing that this problem can be reduced to bounding an equivalent reciprocal one and applying a monotonicity argument. Here, we build upon this result and provide bounds incorporating additional information about the metamaterial. Specifically, in the two-phase case, we provide bounds for isotropic metamaterials. In the multiphase case, we provide bounds for u…

GraphBLAS Mathematical Opportunities: Parallel Hypersparse, Matrix Based Graph Streaming, and Complex-Index Matrices
Hayden Jananthan, Jeremy Kepner, Michael Jones, Vijay Gadepally, Michael Houle, Peter Michaleas, Chasen Milner, Alex Pentland
https://arxiv.org/abs/2509.18984

Fifty Years of Excellence: The Summer School of Mathematical Physics of the National Group of Mathematical Physics
Tommaso Ruggeri, Giuseppe Saccomandi
https://arxiv.org/abs/2509.17194

Fifty Years of Excellence: The Summer School of Mathematical Physics of the National Group of Mathematical Physics
This note presents a brief account of the School of Mathematical Physics of the National Group of Mathematical Physics of the Istituto Nazionale di Alta Matematica (INdAM), written on the occasion of its 50th anniversary.

Compositional System Dynamics: The Higher Mathematics Underlying System Dynamics Diagrams & Practice
Xiaoyan Li, Evan Patterson, Patricia L. Mabry, Nathaniel D. Osgood
https://arxiv.org/abs/2509.18475

Compositional System Dynamics: The Higher Mathematics Underlying System Dynamics Diagrams & Practice
This work establishes a robust mathematical foundation for compositional System Dynamics modeling, leveraging category theory to formalize and enhance the representation, analysis, and composition of system models. Here, System Dynamics diagrams, such as stock & flow diagrams, system structure diagrams, and causal loop diagrams, are formulated as categorical constructs, enabling scalable, transparent, and systematic reasoning. By encoding these diagrams as data using attributed C-sets and utili…

A nonlinear homogenization-based perspective on the soft modes and effective energies of some conformal metamaterials
Xuenan Li, Robert V. Kohn
https://arxiv.org/abs/2509.16907 …

A nonlinear homogenization-based perspective on the soft modes and effective energies of some conformal metamaterials
There is a growing mechanics literature concerning the macroscopic properties of mechanism-based mechanical metamaterials. This amounts mathematically to a homogenization problem involving nonlinear elasticity. A key goal is to identify the "soft modes" of the metamaterial. We achieve this goal using methods from homogenization for some specific 2D examples -- including discrete models of the Rotating Squares metamaterial and the Kagome metamaterial -- whose soft modes are compressive conformal…

The Mediomatix Corpus: Parallel Data for Romansh Idioms via Comparable Schoolbooks
Zachary Hopton, Jannis Vamvas, Andrin B\"uchler, Anna Rutkiewicz, Rico Cathomas, Rico Sennrich
https://arxiv.org/abs/2508.16371

The Mediomatix Corpus: Parallel Data for Romansh Idioms via Comparable Schoolbooks
The five idioms (i.e., varieties) of the Romansh language are largely standardized and are taught in the schools of the respective communities in Switzerland. In this paper, we present the first parallel corpus of Romansh idioms. The corpus is based on 291 schoolbook volumes, which are comparable in content for the five idioms. We use automatic alignment methods to extract 207k multi-parallel segments from the books, with more than 2M tokens in total. A small-scale human evaluation confirms tha…

Report on the 63rd Annual International Mathematical Olympiad
B\'ela Bajnok
https://arxiv.org/abs/2509.19303 https://arxiv.org/pdf/2509.19303

Report on the 63rd Annual International Mathematical Olympiad
We present the problems and solutions to the 63rd Annual International Mathematical Olympiad.