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 order to ensure the normal operation of substation equipment, it is necessary to periodically diagnose the corrosion of the grounding grid. Due to the expansion and daily maintenance of ...

BRepNet is a neural network specifically designed to operate on solid models. It uses additional topological information present in the boundary representation (B-Rep) data structure to perform ...

In section 2, we present some technical details of the lattice polymer model, explain the shrinking algorithm developed for the calculation of the ring minimal path, introduce the notation and the ...

More atomic collapse states are still desired to make the DSI feature unambiguous. In the crystalline topological material HfTe 5, intriguingly, we detect four remarkable quasi-bound states by STS > ...

These implementations are for demonstration purposes. They are less efficient than the implementations in the Python standard library.

Project Eleven, a post-quantum security firm, predicts that Q-Day, when a fault-tolerant quantum computer can break Bitcoin’s ...

July 2, 2026 A major breakthrough in quantum technology has turned magnons, tiny magnetic waves once considered too short-lived for practical use, into promising carriers of quantum information.

Fault-tolerant quantum computer by 2028: the DOE’s Quantum Genesis initiative sets a hard deadline for the world’s first ...

We present an algorithm for enumerating all possible faceting arrangements of dihedrally symmetric diamond cuts. We first separate the question into enumerating crowns a ...