By the authority vested in me as President by the Constitution and the laws of the United States of America, it is hereby ordered: Section 1. Background ...
Abstract: This paper introduces a novel adaptive framework for processing dynamic flow signals over simplicial complexes, extending classical least-mean-squares (LMS) methods to high-order topological ...
Abstract: In distributed wireless sensor networks (WSNs), TDMA protocols are a widely applied solution when a reliable data-transferring mechanism is in demand. However, to produce a TDMA schedule is ...
Aaron Lauda has been exploring an area of mathematics that most physicists have seen little use for, wondering if it might have practical applications. In a twist even he didn’t expect, it turns out ...
In this post, we describe FrodoKEM, a key encapsulation protocol that offers a simple design and provides strong security guarantees even in a future with powerful quantum computers. For decades, ...
This presents a set-based topological sorting algorithm for directed acyclic graphs (DAG). Unlike traditional algorithms that produce a linear order of nodes, it yields a linear sequence of sets of ...
Researchers have unveiled a transformative framework for understanding complex systems. This pioneering study establishes the new field of higher-order topological dynamics, revealing how the hidden ...
Graph theory is an integral component of algorithm design that underlies sparse matrices, relational databases, and networks. Improving the performance of graph algorithms has direct implications to ...
Creative Commons (CC): This is a Creative Commons license. Attribution (BY): Credit must be given to the creator. The experimental exploration of the chemical space of crystalline materials, ...
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