Rami Luisto

Research

My current AI research is centered around two intertwined topics: (1) understanding the geometry of the latent/embedding spaces of Language models, and (2) the application of modern (Large) Language Models in the domain of Finnish healthcare. In understanding the geometry of the embeddings spaces of language models, my goals are similar to the topics of mechanistic interpretability, and I was e.g. very much inspired by Anthropics "Toy Models of Superposition" paper. In the healthcare applications side of things, I believe there is much humane benefit to be gained from intelligent systems that help clinical staff to focus more on patient care and interaction.

As a part of my goal of understanding "the geometry of language", I also try to find time to study linguistics. This has sprouted some research collaboration as well.

In my previous life in mathematics research, my interests were largely in the field of quasiconformal geometry, metric geometry and quantitative topology. My spesific research questions were focused on branched covers, quasiregular mappings and mappings of finite distortion between Euclidean domains. In particular, I was interested in the so called branch set of a mapping, along with the interplay of the structure of the branch set and the local & global behaviour of the mapping.

Distributions of inter cosine-similarities of context-free embedding vectors of various small language models, all looking quite gaussian.

To keep up with the current advances both in my field and the surrounding fields I use arxivist. I warmly recommend a daily dosage.

Texts for professional audiences

Preprints

  1. Observing rurality of a geographical area from road graph geometry -- a qualitative study . [arXiv]
  2. Measuring the Quality of AI-Generated Clinical Notes: A Systematic Review and Experimental Benchmark of Evaluation Methods (Alexandra Dahlberg, Tiila Käenniemi, Tiia Winther-Jensen, Olli Tapiola, Rami Luisto, Tuukka Puranen, Max Gordon, Enni Sanmark and Ville Vartiainen,) MedRxiv.
  3. A short survey on almost orthogonal vectors in a few specific large dimensions . [arXiv] [PDF]

Publications

  1. A variational autoencoder and neural network approach to generating synthetic data in well-being research. (Joonas Tuomikoski, Ville Vesterinen, Rami Luisto, Ilkka Pölönen and Sami Äyrämö.) Applied Computing and Intelligence 2025, Volume 5, Issue 2: 191-212.
  2. Local culture mirrored in dog signs Language on the Move, January 28:th 2025..
  3. On proper branched coverings and a question of Vuorinen (Joint with Aapo Kauranen and Ville Tengvall) Bulletin of the London Mathematical Society volume 54, Issue 1, pages 145-160 (2022). [arXiv]
  4. A Non-Euclidean Story or: How to Persist When Your Geometry Doesn't Journal of Humanistic Mathematics, Volume 12 Issue 1 (January 2022), pages 506-556. [arXiv]
  5. Mappings of finite distortion: compactness of the branch set (Joint with Aapo Kauranen and Ville Tengvall) Journal d'Analyse Mathematique 143, 207–229 (2021). [arXiv]
  6. On BLD-mappings with small distortion (Joint with Aapo Kauranen and Ville Tengvall) Complex Analysis and its Synergies (2021) 7:5. [arXiv]
  7. Open and Discrete Maps with Piecewise Linear Branch Set Images are Piecewise Linear Maps (Joint with Eden Prywes) Journal of the London Mathematical Society volume 103, Issue 3, pages 1186-1207 (2021). [arXiv]
  8. Stoïlow's theorem revisited (Joint with Pekka Pankka) Expositiones Mathematicae 38 (2020), no. 3, 303-318. [arXiv]
  9. Weak Regularity of the Inverse Under Minimal Assumptions (Joint with Stanislav Hencl and Aapo Kauranen) Archive for Rational Mechanics and Analysis volume 238, pages 185-213 (2020). [arXiv]
  10. A Newman property for BLD-mappings Conform. Geom. Dyn. 23 (2019), 135-146. [arXiv]
  11. A Characterization of BLD-Mappings Between Metric Spaces The Journal of Geometric Analysis (2017) 27:2081. [arXiv]
  12. Note on local-to-global properties of BLD-mappings, Proceedings of the AMS 144 (2016) Proceedings of the AMS 144 (2016), no.2, 599-607. [arXiv]
  13. Rigidity of extremal quasiregularly elliptic manifolds (Joint with Pekka Pankka) Groups Geom. Dyn. 10 (2016), no. 2, pp. 723–732. [arXiv]

Theses