Multidimensional Scaling (MDS) | Dimensionality Reduction Techniques (3/5)

Опубликовано: 19 Февраль 2026
на канале: DeepFindr

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▬▬ Papers / Resources ▬▬▬
Colab Notebook: https://colab.research.google.com/dri...

Kruskal Paper 1964: http://cda.psych.uiuc.edu/psychometri...
Very old MDS Website: http://www.analytictech.com/borgatti/...
Rearrange Scalar Product:
https://www.sjsu.edu/faculty/guanglia...
https://github.com/drewwilimitis/Mani...
Metrics Blog Post: https://towardsdatascience.com/9-dist...
Proof that MDS has no unique solution: https://github.com/drewwilimitis/Mani...

Best MDS Tutorials:
https://www.jstatsoft.org/article/dow...
https://rich-d-wilkinson.github.io/MA...
https://pages.mtu.edu/~shanem/psy5220...
https://www.stat.pitt.edu/sungkyu/cou...
Past, Present & Future of MDS: https://repub.eur.nl/pub/39177/EI2013...
https://jessicastringham.net/2018/05/...
https://ccrma.stanford.edu/~unjung/my...
https://github.com/drewwilimitis/Mani...
http://cda.psych.uiuc.edu/mds_509_201...
https://rstudio-pubs-static.s3.amazon...

Tübingen University Video:
• Statistical Machine Learning Part 27 - Mul...

Image Sources:
https://www.researchgate.net/figure/3...

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▬▬ Used Icons ▬▬▬▬▬▬▬▬▬▬
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▬▬ Timestamps ▬▬▬▬▬▬▬▬▬▬▬
00:00 Introduction
00:36 Why learning old stuff?
01:19 Basics of MDS
02:26 Example from Psychometrics
03:50 Symmetry of Distance Matrix
04:17 Mathematical Framework
05:58 3 MDS Variants
07:20 Symbolic notations
07:45 Classical MDS (potentially boring)
12:31 Metric MDS
20:25 Brilliant.org Sponsoring
21:31 Code
25:20 Non-metric MDS
28:26 Summary Table

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