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From Polynomials to Databases: Arithmetic Structures in Galois Theory

arXiv:2511.16622v1 Announce Type: cross Abstract: We develop a computational framework for classifying Galois groups of irreducible degree-7 polynomials over~$mathbb{Q}$, combining explicit resolvent methods with machine learning techniques. A database of over one million normalized projective septics is constructed, each annotated…

Efficient Architectures for High Resolution Vision-Language Models

arXiv:2501.02584v2 Announce Type: replace-cross Abstract: Vision-Language Models (VLMs) have recently experienced significant advancements. However, challenges persist in the accurate recognition of fine details within high resolution images, which limits performance in multiple tasks. This work introduces Pheye, a novel architecture…

Node-Level Uncertainty Estimation in LLM-Generated SQL

arXiv:2511.13984v2 Announce Type: replace Abstract: We present a practical framework for detecting errors in LLM-generated SQL by estimating uncertainty at the level of individual nodes in the query’s abstract syntax tree (AST). Our approach proceeds in two stages. First, we…

Attention-Based Feature Online Conformal Prediction for Time Series

arXiv:2511.15838v1 Announce Type: new Abstract: Online conformal prediction (OCP) wraps around any pre-trained predictor to produce prediction sets with coverage guarantees that hold irrespective of temporal dependencies or distribution shifts. However, standard OCP faces two key limitations: it operates in…