Hidden geometry explains why kernel methods separate complex data so well

Are two sets of data genuinely different, or is it because of randomness? This question, known as the two-sample testing problem, becomes notoriously difficult in modern datasets, because they are ...
InfoQ

Why Vector Search Alone Isn't Enough: Hybrid Retrieval for RAG

In this article, author Aaditya Chauhan discusses the limitations of RAG pipelines based purely on vector search and how an ...
Smithsonian Magazine

Mathematicians Puzzled Over a Famous Problem for 80 Years. Now, They’ve Used A.I. to Identify a Clever Solution

In 1946, the mathematician Paul Erdős posed the unit distance problem—and suggested a winning strategy. An A.I. model has now ...
IEEE

Cascaded H-Bridge Multilevel Inverter System Fault Diagnosis Using a PCA and Multiclass Relevance Vector Machine Approach

Abstract: Multilevel inverters, for their distinctive performance, have been widely used in high voltage and high-power applications in recent years. As power electronics equipment reliability is very ...
archive

Problems In Mathematics With Hints And Solutions

remove-circle Internet Archive's in-browser bookreader "theater" requires JavaScript to be enabled. It appears your browser does not have it turned on. Please see ...
IEEE

A Dual-Vector Predictive Control Method Based on PSO Parameter Identification for NPC Inverters

Abstract: This paper presents a model predictive control (MPC) strategy for three-level neutral-point-clamped ($3 ~\mathrm{L}-\text{NPC}$) converters. Conventional finite-control-set MPC (FCS-MPC) ...