I study the Feynman integrals needed to compute two-loop self-energy functions for general masses and external momenta. A convenient basis for these functions consists of the four integrals obtained ...

We present the formal proof demonstrating that the ESPRIT algorithm achieves optimal error scaling for both location and intensity estimation in spectral analysis ...

It’s hard to ignore the seismic shifts brought about by algorithm-driven content. Every time you scroll through your social media feed or check your favorite news app, algorithms are diligently at ...

The Transformer architecture revolutionised natural language processing with its self-attention mechanism, enabling parallel computation and effective context retrieval. However, Transformers face ...

The old Babylonian algorithm, a remarkable mathematical artifact from ancient Mesopotamia (around 1800–1600 BC), has long been a subject of fascination to scholars. This ancient algorithm not only ...

This program implements the Gaussian Elimination algorithm, a fundamental method in linear algebra for solving systems of linear equations, determining matrix inverses, and calculating determinants.

Abstract: It has been shown in the literature that a formulation of the minimal partial realization problem in terms of exact modeling of a behavior lends itself to an iterative polynomial solution.

ABSTRACT: In this paper we compare track data association purity, accuracy, and timing on a simple, idealized model tracking problem for two data association methods: Global Nearest Neighbor (GNN) and ...

1 Centro Brasileiro de Pesquisas Físicas, Rio de Janeiro, RJ, Brazil 2 Petróleo Brasileiro S.A., Centro de Pesquisas Leopoldo Miguez de Mello, Rio de Janeiro, Brazil Recent advancements in quantum ...