We consider the vector embedding problem. are given a finite set of items, with goal assigning representative to each one, possibly under some constraints (such as collection vectors being standardized, i.e., have zero mean and unit covariance). data indicating that pairs items similar, optionally, other dissimilar. For similar we want corresponding be near other, for dissimilar pairs, not meas...

Abstract This paper is based on a keynote lecture presented by Prof. Fechte-Heinen during the 2 nd International Conference Quenching and Distortion Engineering in April 2021. Firstly, it presents short summary of basics distortion formation. The mechanisms potential for with its carriers are discussed more detail. Furthermore, method explained. Finally, selected examples that illustrate connec...