Quanta Magazine

New Math Revives Geometry’s Oldest Problems

Using a relatively young theory, a team of mathematicians has started to answer questions whose roots lie at the very ...

ByteDance and Princeton University Unveil Revolutionary AI Technology: Moving Beyond Short-Sightedness with the CASTLE Mechanism for Comprehensive Dialogue Understanding

This study, conducted by Song Zhuoqing, Sun Peng, Yuan Huizhu from ByteDance Seed Lab, and Professor Gu Quanquan from the University of California, Los Angeles, addresses a core problem that has ...
SciELO

BRANCH AND CUT METHOD FOR SOLVING INTEGER INDEFINITE QUADRATIC BILEVEL PROGRAMS WITH MULTIPLE OBJECTIVES AT THE UPPER LEVEL

This paper proposes an exact method to solve an integer indefinite quadratic bilevel problem with multiple objectives at the upper level, where the objective functions at both levels are a product of ...
IEEE

Federated Scientific Machine Learning for Approximating Functions and Solving Differential Equations With Data Heterogeneity

Abstract: By leveraging neural networks, the emerging field of scientific machine learning (SciML) offers novel approaches to address complex problems governed by partial differential equations (PDEs) ...
IEEE

Congruent-Transformation-Based Stability Criterion of T-S Fuzzy Systems With Time-Varying Delay via the Generalized Line-Integral Lyapunov Function

Abstract: This paper is concerned with the stability analysis of Takagi-Sugeno (T-S) fuzzy systems with time-varying delays. First, by constructing a generalized line-integral Lyapunov function (GLILF ...