Abstract: DC Optimal Power Flow (DC-OPF) problems optimize the generators' active power setpoints while satisfying constraints based on the DC power flow linearization. The computational tractability ...

Abstract: Beampattern design and resource allocation can enhance the multi-target tracking (MTT) accuracy and anti-interception capability of the colocated-MIMO radar systems. The MTT problem is ...

This important study provides a mechanistic view of how antibody affinity maturation can reshape encounter-state landscapes and association pathways, with implications for understanding HIV antibody ...

A thread posted July 15 on the r/math subreddit claims that OpenAI’s GPT-5.6, guided by a carefully constructed prompt, produced a formal mathematical proof that closes a gap in convex optimization ...

MOS-Attack is a novel multi-objective adversarial attack framework that effectively combines multiple surrogate loss functions to generate powerful adversarial examples.

(Using standard gradient / inner product implicitly uses weights given by whatever units you are using.) A change of variables (to nondimensionalize the problem) is equivalent (for steepest descent) ...