AI Solved A Mathematical Problem That Had Stumped The World’s Best Minds For Decades

GPT-5.4 Pro cracked a conjecture in number theory that had stumped generations of mathematicians, using a proof strategy that ...
IEEE

Row-Sparse Principal Component Analysis via Coordinate Descent Method

Abstract: In this paper, we propose a novel algorithm to solve the row-sparse principal component analysis problem without relying on any data structure assumption. Sparse principal component analysis ...
EurekAlert!

Principal component analysis enhances 3D super-resolution microscopy

Inside living cells, mitochondria divide, lysosomes travel, and synaptic vesicles pulse—all in three dimensions (3Ds) and constant motion. Capturing these events with clarity is vital not just for ...
Frontiers

Comparison between compositional data analysis and principal component analysis for identifying dietary patterns associated with hyperuricemia

PCA, CPCA and PBA all identified three dietary patterns, with a common “traditional southern Chinese” pattern high in rice and animal-based foods and low in wheat products and dairy. Only this pattern ...
eLife

RETRACTED: Biases of Principal Component Analysis (PCA) in Physical Anthropology Studies Require a Reevaluation of Evolutionary Insights

The authors present a critique of current usage of principal component analysis in geometric morphometrics, making a compelling case with benchmark data that standard techniques perform poorly. The ...
C&EN

Processing Next-Generation Mass Spectrometry Imaging Data: Principal Component Analysis at Scale

Creative Commons (CC): This is a Creative Commons license. Attribution (BY): Credit must be given to the creator. Mass spectrometry imaging (MSI) is constantly improving in spatial resolving power, ...