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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.

168,695 papers · 148 categories

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6 results for “murmurations”

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 ↗

Murmur Detection Using Parallel Recurrent & Convolutional Neural Networkscs.SD

In this article, we propose a novel technique for classification of the Murmurs in heart sound. We introduce a novel deep neural network architecture using parallel combination of the Recurrent Neural Network (RNN) based Bidirectional Long Short-Term Memory (BiLSTM) & Convolutional Neural Network (CNN) to learn visual …

2018-08-13abs ↗pdf ↗

Murmurations, Mestre--Nagao sums, and Convolutional Neural Networks for elliptic curvesmath.NT

Convolutional neural networks predict the analytic rank of elliptic curves accurately.

problem Predicting the analytic rank of elliptic curves over Q.

method Applied one-dimensional convolutional neural networks to Frobenius traces.

result High accuracy predictions for analytic rank across various conductors.

elliptic curves convolutional neural networks analytic rank Frobenius traces predictive capacity

2026-03-18abs ↗pdf ↗

Murmurations of elliptic curvesmath.NT

Study ranks of elliptic curves via prime averages.

problem Classifying elliptic curves by rank.

method Average Frobenius trace over primes, data science experiments.

result Oscillating pattern in average trace values, correlates with rank.

elliptic curves Frobenius trace prime averages rank classification data science

2022-04-21abs ↗pdf ↗

Heart Sound Segmentation using Bidirectional LSTMs with Attentioneess.SP

Novel method segments heart sound signals using LSTMs with attention.

problem Heart sound segmentation for diagnostic applications.

method Bidirectional LSTMs with attention mechanisms.

result State-of-the-art performance on multiple benchmarks.

Heart sound segmentation Recurrent neural networks Attention mechanisms Phonocardiogram Murmurs

2020-04-02abs ↗pdf ↗

Learning Fricke signs from Maass form Coefficientsmath.NT

The paper discovers patterns in Maass forms' coefficients related to Fricke signs.

problem Identifying Fricke signs in Maass forms with unknown signs.

method Averaging Fourier coefficients, Linear Discriminant Analysis (LDA), neural networks.

result 96% accuracy in predicting Fricke signs for forms with even parity, 94% for odd parity.

Maass forms Fricke signs Fourier coefficients Linear Discriminant Analysis Neural networks

2025-01-03abs ↗pdf ↗