The ‘10 Martini’ Proof Connects Quantum Mechanics With Infinitely Intricate Mathematical Structures

The proof, known to be so hard that a mathematician once offered 10 martinis to whoever could figure it out, uses number ...
IEEE

A Cooperative Localization Algorithm Based on Theory of Surveying Adjustment With Range Network for UAV Clusters

Abstract: Cooperative localization distinguishes itself from traditional localization methods by leveraging internode measurements among unknown nodes. This study proposes a novel dual-stage algorithm ...
C&EN

O1NumHess: A Fast and Accurate Seminumerical Hessian Algorithm Using Only O(1) Gradients

Qingdao Institute for Theoretical and Computational Sciences, Center for Optics Research and Engineering, Shandong University, Qingdao, Shandong 266237, P. R. China ...
IEEE

Data-Driven Evolutionary Algorithm Based on Inductive Graph Neural Networks for Multimodal Multi-Objective Optimization

Abstract: In multimodal multi-objective optimization problems (MMOPs), multiple solutions on different Pareto optimal solution sets (PSs) are mapped to the same point on the Pareto front. Considering ...