On-device research index

arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,742 papers · 148 categories

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3 results for “Birch-Swinnerton-Dyer”

Machine Learning meets Number Theory: The Data Science of Birch-Swinnerton-Dyermath.NT

Data science reveals patterns in elliptic curve ranks and coefficients.

problem Understanding rational points on elliptic curves via BSD conjecture.

method Data science, machine learning, topological data analysis.

result Patterns and distributions in rank versus Weierstrass coefficients.

elliptic curves Birch-Swinnerton-Dyer conjecture data science machine learning topological data analysis

2019-11-04abs ↗pdf ↗

Machine Learning Approaches to the Shafarevich-Tate Group of Elliptic Curvesmath.NT

Machine learning predicts Shafarevich-Tate group orders of elliptic curves.

problem Predicting the order of the Shafarevich-Tate group of elliptic curves.

method Train feed-forward neural network and regression models on elliptic curve invariants.

result Models achieve high accuracy (

> 0.9

) and predict orders not seen during training.

Machine Learning Elliptic Curves Shafarevich-Tate Group Birch-Swinnerton-Dyer Conjecture LMFDB

2024-12-24abs ↗pdf ↗

Murmurations: a case study in AI-assisted mathematicsmath.NT

New arithmetic phenomenon 'murmurations' detected using AI.

problem Detecting new arithmetic patterns in large datasets.

method Machine learning interpretability tools (PCA, saliency, convolutional filters).

result Murmurations encode Frobenius traces and connect to number theory.

murmurations arithmetic statistics Frobenius traces Birch-Swinnerton-Dyer random matrix theory

2026-03-10abs ↗pdf ↗