Quanta Magazine

Can the Most Abstract Math Make the World a Better Place?

Baez called for the development of new mathematics — he called it “green” math — to better capture the workings of Earth’s biosphere and climate. For his part, he sought to apply category theory, a ...
IEEE

A Lightweight Modular Arithmetic Defense Against Model Poisoning in Federated Learning

Abstract: Federated Learning (FL) enables distributed model training without centralizing data, but it remains vulnerable to corrupted or adversarial clients that can degrade the global model through ...
Scientific Research Publishing

Wang, S.Q., Wu, Q.S., Zhou, G.D., et al. (2008) The Modular Derivation of Frobenius Poisson Algebra and Batalin-Vilkovisky Structures, preprint.

ABSTRACT: In this paper, we study the truncated polynomial algebra L in n variables, and discuss the following four problems in detail: 1) Homology complex and homology group of Poisson algebra L; 2) ...
IEEE

Emitter-Couple Logic Circuit Design Based on the Threshold-Arithmetic Algebraic System

Abstract: Based on the threshold-arithmetic algebraic system which has been proposed for current-mode circuit design, we propose a systematic methodology for emitter-couple logic (ECL) circuit design.