Disputation: Johan Sokrates Wind

Doctoral candidate Johan Sokrates Wind at the Department of Mathematics will be defending the thesis 

Topics in High-Dimensional Optimization 

Implicit Regularization in Learning and the Computation of Minimal Convex Contours 

for the degree of Philosophiae Doctor.

picture of the candidate

Doctoral candidate KAND.

The PhD defence will be in Abels utsikt - Niels Henrik Abels hus. The host of the session will moderate the technicalities while the chair of the defence will moderate the disputation.

Ex auditorio questions: the chair of the defence will invite the audience to ask questions ex auditorio at the end of the defence.

Trial lecture

January 7th 2026, time: 10:15 am, room 1259 (Abels utsikt).

Implicit bias in a classification setting

Main research findings 

Large deep learning models, such as ChatGPT, are transforming society. However, there is little theoretical understanding of why these models work so well. In particular, it is unclear how they separate useful patterns from the huge amount of noise in their training data.

I researched "implicit regularization", which is the tendency for complex models to learn underlying structure without explicitly being told to do so. This phenomenon was studied in detail in two simplified models. I proved that when these models are initialized with small values, they automatically exploit the underlying structure in the data.

A better understanding of these mechanisms could enable the development of more robust, reliable and efficient AI systems.


Adjudication committee

  • Assistant Professor Dominik Stöger, KU Eichstätt-Ingolstadt MIDS
  • Professor Brynjulf Owren, NTNU
  • Associate Professor Erik Hiltunen, University of Oslo

Supervisors

  • Senior Lecturer Øyvind Ryan, University of Oslo
  • Professor Anders Christian Hansen, University of Oslo

Chair of defence

Head of Department Arne Bang Huseby

Host of the session

Associate Professor Erik Hiltunen, University of Oslo

 

Organiser

Department of Mathematics
Published Dec. 17, 2025 9:00 AM - Last modified Jan. 14, 2026 3:47 PM