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

CAGE: A Curiosity-Driven Graph-Based Explore-Exploit Algorithm for Solving Deterministic Environment MDPs With Limited Episode Problem

Abstract: The explore-exploit dilemma in Markov Decision Processes (MDPs) is a fundamental challenge, especially in deterministic environments akin to real-world scenarios. Balancing exploration and ...
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 ...
Quanta Magazine

The Game Theory of How Algorithms Can Drive Up Prices

Imagine a town with two widget merchants. Customers prefer cheaper widgets, so the merchants must compete to set the lowest price. Unhappy with their meager profits, they meet one night in a ...
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 ...